An ever popular review game that brings some healthy competition to the classroom. When the Cup starts, students log in on their devices and race cars using multiplication problems. Then drag and drop it on the correct answer box. Save the examples below to use later, or let them inspire you to create your own math games. The student must jump to the matching state, in the form of an iceberg, that floats toward the penguin. Words of encouragement can also make a massive difference. We only recommend those things that we absolutely love and swear by. Click on the MathPup cards to see what is underneath. Pros: Appropriate leveling, virtual rewards, and enthusiastic feedback boost learning. How many candies can you pick up for Jack. Maybe if I had some of these hands on learning experiences in third grade I wouldn’t dislike the subject so much now. As kids learn about multiplication, Combo is another fun way to solve multiplication equations within a colorful gaming context and Math Mine Multiply Divide lets kids create and solve equations while mining for gems. If you haven’t you’re missing out on some goodfun. Choose the table you want to practice from the following. Grand Prix Multiplication is a multiplayer math game that allows students from anywhere in the world to race against each other while practicing their multiplication facts. Pass around a “multiplication beach ball” to make your lesson feel like a day at the beach. The free download at the end of this post. All of our students process the concept of multiplication differently and therefore will build their fluency and understanding at different rates. I highly recommend this game because a lot of the other games we tried we’re boring or you had to pay but this game is free and really really fun. Skip counting, rectangular arrays, multiplication equations, multiplication tests, flash cards, speed games and more. If you have any questions, please contact. Practice column subtraction up to 100 with our colored worksheets, play online math games for 4th graders. You can choose to play with addition, subtraction, multiplication, or division problems, as well as fractions. At the memory game, you can play memory with the sums and answers. For more math partner games that cover grade level skills, click on the link below to see the bundle for the grade level you teach. Hone your math skills with our flashcards. A super activity where you can test your knowledge of factor trees. Most can be adapted to any math material. Many of the games are in a multiplayer format.
100+ Online Math Games for Grade 4 FREE
Identify gaps and build fluency using Sumdog’s engaging adaptive learning games. – Solving multiplication problems to score points This multiplication for kids app Carl’s Cookie Capers include following features: – Free to play – Maths Multiplication for one digit – Maths Multiplication for two digits – Maths Multiplication for three digits – Maths Multiplication for four digits Basic Features:• Multiply Learn to multiply objects in this simple game of multiplication. Take Penalty Kick Online for example. We brought together the best online math games for grade 3 that will enhance your 8 year old’s math skills. The free play option is useful as a teacher aid for demonstrating the commutative property of multiplication. Players roll the dice and use the numbers to block off space on the grid, writing in the math sentence too. Fire at the correct problem to save your blaster from destruction. Students work on addition and multiplication at the same time, creating a real life multiplication problem. Are you still offering these games as a free download. Format: Online Activity. Learn more: Education. It is a high way, so don’t let your van fall off. An untimed game with 3 difficulty settings to choose from. More than 12,000 students around the U. The code can not begin with a dash. Just the thing for learning the relationship between addition/subtraction and multiplication/division. Education Technology Insights Weekly Brief. Online games offer the added benefit of immediate feedback to prevent students from practicing facts incorrectly. You’ll need to correctly solve decimal addition problems to keep your race car filled up with fuel. Description: The Zombies of the Brittany Graveyard have been a scourge upon the village for many years terrifying those who wish to visit the graves of their loved ones animations. An ‘awsUploads’ object is used to facilitate file uploads. Math Dice Chase is a game we regularly use in our homeschool. You can also choose the number of tiles 12, 18, 24, and thereby make the game easier or harder.
Make Practice Fun for Kids
Reduce or Simplifying Fractions – Practicing simplifying fractions has never been more fun than it will be with this interactive game. Ad by CalypsoDigitalDesign Ad from shop CalypsoDigitalDesign CalypsoDigitalDesign From shop CalypsoDigitalDesign. This will really test your knowledge of all your times tables. Join games with students and give a prize to whoever can beat you. Free Math Games online > 4th Grade Math. “As teachers and parents look for new ways to engage students online during this time of remote learning, the free Arcademics Cup helps to motivate them through friendly competition,” said David Scherrer, president of Arcademics. Source: Center for Education Policy Research. Games are full of nice pictures, so kids will have fun. Matching Fractions Game – In this matching game, students select the graphical representation of the given fraction. Imagination Centric Vision: A game should be driven by a creative vision that’s powerful enough to make the player forgive the inherent limitations of a network game. You’ll find that children enjoy learning with thesemath activities and for parents and teachers that’s a good thing. This idea might be an old favorite, but it’s a classic and great mathematics warm up activity for two players. This multiplication game may need some extra brain power, since it requires finding a multiplier instead of a product. A resource with a teaching demonstration mode and an area where children can practise their skills sorting multiples on a Venn diagram. Up to 4 players can join in on the fun and practice proportion equivalency. Give your child food for the mind with this game on multiplication. This site uses Akismet to reduce spam. The game will help your young mathematician learn a new concept in multiplication. Math is an essential skill. Who can score the most points in your class.
Provide students with dry erase or vis a vis markers to play. Practice the multiplication tables while also uncovering a hidden picture in this fun matching game. PLEASE NOTE: On or around December 22, we will be resetting the statistics for this game and changing the format to match those of the Great American Addition and Subtraction Challenges. As a third grade teacher, I know how limited our time can be, so I am here to share with you 5 math games you should take the time to play this year. Coordinate Geometry Graphing Game – Students will select a level of difficulty—easy, medium or hard. I call the wait associated with a bottleneck a bonk, after the term cyclists use to describe the performance collapse that happens when you ask for the stuff you need to continue, but it’s just not there. Answer quickly to get the pony to pull faster. Solve the problem and then drag and drop the box on the correct answer box. Double your kid’s learning speed with interactive multiplication games. February 1 2, 2018 Arcademics Cup International Multiplication Competition. If you notice, there are eleven questions but sixteen squares. Com, you will LOVE MrN 365. The game’s multiplayer function allows students to race in groups of four as they answer basic multiplication problems for numbers one through 12. Username: Only letters and numbersPassword. Card games help reinforce maths strategies learnt at school in a fun and informal way. Our math games also give children a wide variety of styles from which to choose. Licensed under Creative Commons Attribution 4.
New Math Sheets and Resources
Here you are shown how to do it step by step. They will help develop reasoning, thinking and memory as well as helping children to learn how to count money. Tip: Split the class into groups and use multiple beach balls to make the game competitive. You’ll need to be quick as his opponents are tough. My son has always learned best by playing games. Have a special time of the day when students must get up and introduce themselves to someone. Cute mini games introduce math to young learners. We make multiplayer educational games free math games, free language arts games, and more for K 8 students. To learn more about the Arcademics Cup and sign up, visit Arcademics. Learn more: Tales From a Fourth Grade Math Nut. Avoid the costumed cats while practicing your multiplication facts and getting your treats. Multiplication Concentration Games. We have a variety of posters and resources that can help in this part of the teaching process. Ads help keep this site running. Multiply three digit by 1 digit numbers. These number puzzles offer a great picture logic exercise which will trigger brain activity. Get kids moving with multiplication name tags. Remove any adjacent cards that add up to an even number. “Correct” sound credit. Today I would like to share a fun multiplayer game that my youngest son and I created for students to practice place value and gain fluency with the 1 110 chart. This version of the standard favorite involves each player flipping two cards to find a product. These games are all designed to support children’s learning and understanding of money. Parker loves to splat paint into fun designs. If not, you say, “miss”. Come check out the Caveman Cafe’s Grand Opening. Count to answer “how many.
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An excellent tool for reinforcing an understanding of the role of the equals sign. For a kindergarten or first grade classroom, you may want to play with a number line with numbers 1 20. Understand the relationship between numbers and quantities; connect counting to cardinality. Speed Math Online Game. So, you can play 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 multiplication games. Race your car and try to collect odd or even numbered coins. Use them at home or take them with you wherever you go. Can you find all the number fact families. Here’s an example: “Liv practiced her violin for 315 minutes last week and 275 minutes this week. Learning about MultiplesAn interactive animation illustrating multiples. The game has single and a multi player feature. A landmark in every child’s math education, multiplication tables are the foundation on which advanced concepts are taught in school. Fun and free educational games for kids in K 8. All the multiplication facts activities on Time4MathFacts are designed to provide students with serious amounts of practice. Land on the correct position on the number line. Org is a free tool to search and find Similar Websites, alternatives or related to the given site. It also helps to reinforce their tables knowledge. Great for consolidating number bonds to 10. Cover Up:Here’s a game that will help kids build confidence and memorize theirmultiplication facts the fun way. This is a great way to engage students and quickly improve fact fluency. Moving in a clockwise direction, have the students count out loud until they get to a hundred. For instance, if take the number 3 and multiply it by 5, you get 15. A multiple choice game which can give children confidence in the four arithmetic operations. Many teachers assign I Know It lessons for extra math practice in the classroom or at home.
Tip: Place different obstacles or activities between each question station to make the game more active. Spring has brought out all the birds and they are hungry. RekenTestRekenTest is a free software for practicing arithmetic. Adder Ladders: Just print this activity off and you’re ready to go. Once they had an answer they would place their hands on their head. Download Multiplication Games with Jelly and make learning math your child’s favorite game. Grand Prix Multiplication is a multiplayer racing game that allows students from anywhere in the world to race one another while practicing their multiplication facts. Grade Levels: 2, 3, 4, 5. A playing board see image—adapt numbers included to suit the level of your students. In geometry, students start to understand the concepts of segments, angles and rays. Help MathPup get the exact amount of money he needs. As you progress through the game, there are true or false multiplication and division questions as well – a nice blend of methods and ways of presenting content. Practice your multiplication facts while taking some amazing pictures of some silly underwater friends in the new fun game.
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There are lots of math games covering addition, subtraction, multiplication, division, fractions, decimals, ratio and proportion, integers positive and negative, and beginning algebra concepts. Dozens of games are grouped by grade, subject area, and topic, ranging from spelling and shapes to algebra and geography; however, most of the games are math related. All of our students process the concept of multiplication differently and therefore will build their fluency and understanding at different rates. This game requires some “brain sweat”, so it works well for grades 2 5. Practise your multiplication skills. You can create this eye catching, interactive classroom display with a few simple, easy to find materials. Combine 4 Numbers: In this printable game,two players compete by combining four numbers. Description: Need to practice multiplication facts. 60 for the WHOLE YEAR. 1 coin per correct answer. Other Important Information. This event has been a significant driver for the company to acquire new users and allows teachers to attain reports and data points on their students’ performances. Online games offer the added benefit of immediate feedback to prevent students from practicing facts incorrectly. A very versatile teaching tool which has 5, 10, 20 and 100 frames or grids as the facility to make your own custom frame. Would you prefer to share this page with others by linking to it. As a busy homeschooling mother of six, she strives to create hands on learning activities and worksheets that kids will love to make learning FUN. How many minutes did she practice for altogether. You may print and copy for your personal classroom use. So use your multiplication skills to help MathPup chase them off. We can safely say I think that you are not one of those younger kids. Grab two dice and a different colored marker for each player.
Exploratory Play: Everything You Need to Know
All other trademarks, logos and brand names shown on this website other than Stated are the sole property of their respective companies and are not owned by ClassicReload. You may use them as early finishers or math centers for students to practice their fact fluency. Choose the table you want to practice from the following. There are two options ‘Hit the answer’ or ‘Hit the question’ all against the clock. Up to 4 players can join in on the fun. The game encourages students to visualize multiplication using the area model and apply this understanding of multiplication to find the product. The game includes times tables up to 12. Help your kids practice their skills and keep their brains working with these fun FREE mental math challenges from Bethany at Math Geek Mama. Com reading, language, and math. A password is needed to complete the create game function. 3 modes to choose from: Beginner, Advanced or Expert. These games are designed to help your learner achieve this milestone more quickly and without boring drill and kill methods often used for struggling learners. Whether you are a parent, teacher, or homeschooler – you will love these creative free math games to help elementary age kids practice math. Then I used them to make a math fact book for her. 75 for the 4 math programs; $5. If the cards have the same product, the player says the product out loud and keeps the cards. Help Math Dog find the cat burglar by rounding numbers to the nearest 10.
Multiplication Facts of 5
Com is very expensive to keep alive. Description: First choose your skill to practice addition, subtraction, multiplication, or division. Easier version 2,3,4,5 and 10 times tables. For the big tables diploma you are given 40 questions which include all the tables from 1 to 12. You could even play Go Fish by having students ask for the sum. Here you will find a wide range of free printable Math Games to help your child develop their mental multiplication skills and learn their multiplication table. Especially during your math time. Grade Levels: 1, 2, 3, 4, 5. When you play these printable multiplication games, children will not even find out that they repeat multiplication. You must defeat these enemies with your multiplication and division wizardry, earning precious neurons as you go. The games below cover the 2 through 9 multiplication tables and there are timed and untimed versions of each one. Check out the books, supplies, and other products that we use in our own classrooms. Content: Division facts to 12Players: 4Drag Race Division is a multiplayer math game that allows students from anywhere in the world to race against each other while practicing their division facts. Good for sharpening mental maths skills. To learn more, please email me at:mindfulldotconsultingatgmaildotcom. The student must match missing letters to the correct word coconut. And to help kids learn the properties of multiplication, try these easy cut and paste pages.
Multiplication Facts of 4
Cover Up:Here’s a game that will help kids build confidence and memorize theirmultiplication facts the fun way. Kings, Queens, and Jacks mean ‘multiply by 10’ while Kings also mean ‘draw 2,’ Queens are a reversal card, and Jacks are skip a turns. I call the wait associated with a bottleneck a bonk, after the term cyclists use to describe the performance collapse that happens when you ask for the stuff you need to continue, but it’s just not there. The Legend of Multiplico A Multiplication and Division Adventure Game. Students can combine this idea with the game board idea above to play partner games like Tic Tac Toe, War, or Go Fish using dice and dominos. Do you play games in your classroom. Give students a set of motivating match up puzzles. Even though we have shared a lot of games to practice the. These multiplication review ideas are perfect for the budding artists, and any student who likes to keep their hands busy while they are learning. Practice the multiplication tables while also uncovering a hidden picture in this fun matching game. We love finding new and clever ways to practice math facts. Students worked alone or in groups to discuss the question and their process, while the teachers supervised and made note of different strategies. I am thrilled to have some new tools for my students to use for multiplication and division. Notify me of new posts by email. 3 ideas for motivating students with Arcademics. A password is needed to complete the create game function. Wally the Mammoth, Dirby Dodo, and Subin the Squirrel are all ready to help out. It’s important to keep up mental math skills like adding, subtracting and multiplication or they will be forgotten. For more multiplication games click here. Place Value Pirates Online Game. Use them as quick games at the beginning or end of a lesson to keep your class entertained while they practice multiplication facts.
Finding Products of 6 Using Number Line
Answer the maths questions and then see how many opponents you can defeat in a snowball fight. Coconuts with partial words fall to the beach. You can even print them on colored paper to add a fun pop. You can practice multiplication fluency by playing any of 15 embedded games including target practice games, ninja baby games, spinning wheel games, and many more. As far as the player is concerned, both occur in real time, which is to say that they appear to be continuous in time and space. Please like or share the games on social media like facebook, twitter etc. This resource hasn’t been reviewed yet. A multiple choice game which can give children confidence in the four arithmetic operations. Basketball Math Multiplying Decimals This is an interactive basketball game about multiplying decimals. Take your time as there are plenty of fish and no time limit. Do you want to keep track of all these great math fact games without having to visit this post again and again. Continue until a player covers three boxes horizontally, vertically, or diagonally or until all of the boxes are solved. Break into the tomb using your multiplication skills. This creates 4 different equations. Daily 10 has maths questions on a range of maths concepts: addition, subtraction, ordering, partitioning, digit values, rounding, multiplication, division, doubles, halves and fractions. The parent or teacher selects games and makes them available for the student. Having apps that help focus on math fact fluency are essential in our homeschool. What kid doesn’t LOVE Legos. Take a free 30 day trial of the full program. Since latency and variability are not solvable problems they’re facts to be worked with it’s as foolish to try to build a twitch based game for world wide Internet play as it is to attempt to create an amusement park with genetically engineered dinosaurs. 60 for the WHOLE YEAR. Concepts include number lines, fraction addition and subtraction, and more. Multiplying Fraction Worksheets: Here are some worksheets that focus on the multiplication of fractions. Prior to the Arcademics Cup, teachers can sign up for a free trial of Arcademics Plus to gain access to a database of critical insights into individual students’ and classroom performance trends. Everyday Mathematics for Parents: What You Need to Know to Help Your Child Succeed. What a great way to keep math fun.
Tractor Multiplication aveH355/arcademics cheats/blob/main/scripts/tractor multiplication. Looking for a fun and hands on way to teach multiplication to your kids. Kids also spend a lot of time with fractions and place value. 60 for the WHOLE YEAR. Here is a math game based on this popular card game that helpskids have fun with multiplication and factoring. Everyone works together to reach that sweet million dollar prize. Car Wash Wash enough cars and you will get to race them in this free game from Multiplication. Next, divide the deck evenly among all players.
Cards are handed to each child and they need to mentally calculate the answers to the challenges. 8Operations and Algebraic ThinkingStudents should demonstrate an ability to solve two step word problems using the four operations. Give your child food for the mind with this game on multiplication. Play tug of war while practicing decimal conversion. Another way to increase student engagement is playing games. Get pupils talking about maths. Funky Mummy is a number facts game. These multiplication games are best played in a large open space, like outside or in the gym. A resource with a teaching demonstration mode and an area where children can practise their skills sorting multiples on a Venn diagram. 1 coin per correct answer. Set up curriculum aligned multiplication assignments in just a few clicks with Prodigy Math Game. Related: Help Your Students Easily Master the Times Tables With This One Simple Strategy. FastComet hosting review. Learn more: @rainbowskycreations. This helps her to see the math problems and how they can work as multiplication and division.


Solomon Willis, Mathematics Instructor and Math and Foreign Language Department Chair at Cleveland Community College, was recently named the recipient of the Teacher of Honor Award from Kappa Delta Pi, International Honor Society in Education.
“I feel very blessed and completely humbled to receive the distinction of a Kappa Delta Pi Teacher of Honor,” said Willis. “For many years, I have enjoyed working with my students and helping them understand and appreciate the many uses of mathematics. I plan to continue teaching for many years to come and hope that I am always a positive influence in my classroom and among colleagues.”
Willis has been an instructor at CCC for more than 10 years. He has a master’s degree from Appalachian State University and a bachelor’s degree from Gardner-Webb University.
“He exemplifies what a quality instructor of higher education aspires to model at all times,” stated Betty Stack, dean of Arts and Sciences. “Mr. Willis works whether he is on the clock or not, and tirelessly reaches out to students in order to provide full opportunity toward success.”
One way he helps his students achieve success is by staying current with technology capabilities. Willis’ master’s program at Appalachian State University was centered on using technology in instruction, primarily with Texas Instruments graphing calculators. He is a frequent presenter at T.I. conferences and workshops, and he also has embraced online education, especially with Blackboard, MyMathLab, and Enhanced WebAssign.
For these efforts, Willis has received numerous awards, grants, and scholarships, including a Best Buy Te@ch technology grant, North Carolina Great Teachers Retreat Scholarship, and an Excellence in Teaching Award by the National Society of Leadership and Success. He earned a bachelor’s degree in Mathematics from Gardner-Webb University and is a candidate for an Educational Specialist Degree in Mathematics Education from Nova Southeastern University.
“Mr. Willis spends a large amount of time adjusting curriculum needs to his students . . . through learning and sharing the best methods in laying a foundation for beginning Mathematics classes,” added Stack. “His online classes continually strive to engage students in learning while aspiring to create as strong a basis as in the traditional seated classroom.”
Professionally, Willis has been a member of several teaching and mathematics organizations, often holding leadership positions, including as board member of the North Carolina Council of Teachers of Mathematics, campus liaison for the North Carolina Community College Faculty Association, and advisor for the CCC chapter of the Phi Theta Kappa Honor Society. He also is a member of the National Council of Teachers of Mathematics.
Kappa Delta Pi established the Teacher of Honor award in 2008. To earn this designation, an educator must have more than 3 years of classroom teaching experience; demonstrate a commitment to integrity and high standards in the classroom; and submit evidence of professional development, leadership, community service, and exceptional contributions to the education profession. The award recognizes teachers of all levels, from early childhood instructors to university faculty members. To learn more about the designation, go to http://www.kdp.org/recognition/teacherofhonor.php.


Here’s something else the briefing doesn’t tell you — but you can figure it by doing a little math with some numbers from the scattergram on page 23.
A couple of the recreation centers have been closed for renovation, etc, but let’s take a look at Singing Hills rec center in Southeast Oak Cliff. The scattergram shows that the city paid about $190,000 to run it, and it received about 8,000 visits.
That’s about $24 per visit. Ouch.
Here’s page 23 with the scattergram below.


The whole thing took me back to one of my favorite lessons; it never really worked with the results I wanted, but it might have if I had ever taught Honors-level classes. The theory was designed to make the pen-ultimate crossover: English and Math. (Yeah, yeah, meter in poems and such. This was SO much cooler.) Math uses its own vocabulary, its own language--most subjects do, which makes this accessible to a lot of teachers. To use the language of Mathematics to create a poem is meaningful to both subjects. And so, lost long ago in the pages of now out-of-print Omni magazine, there is this limerick:
A dozen, a gross, and a score,
Plus three times the square root of four,
Divided by seven,
Plus five times eleven,
Is nine squared, and not a bit more.
I've said it before, and I'll say it again: man, I miss the classroom.


As a kid, loving math was social suicide. And if you love math, you know exactly what I’m talking about. We’d never dare admit that we got a secret thrill out of acing the test, or finally understanding a complex theory. We had to keep that inner math nerd deep inside. But, as we blossomed into adulthood, we realized that being a math nerd is not a bad thing. Not at all.
If you are one of those who thinks math is a bore, your eyes might glaze over here in a few minutes. But, for those of us who have always secretly (or not so secretly) loved math, these 34 Math Memes will provide a much needed laugh!


Elliott is a member of Phi Theta Kappa Honor Society and Mu Alpha Theta Mathematical Honor Society. Elliott previously studied at Normandale Community College in Bloomington, MN.
MATH 1100 - College Algebra / Fall 2017 / A
CSCI 1101 - Intro to Computer Programming / Fall 2017 / A
CSCI 1111 - Programming in C / Spring 2018 / A
MATH 1080 - Intro to Statistics / Spring 2018 / A
MATH 1150 - Trigonometry / Spring 2018 / A
MATH 1510 - Calculus I / Summer 2018 / A
MATH 1520 - Calculus II / Fall 2018 / A
PHYS 1121 - Physics for Engineers & Scientists / Fall 2018 / A
CSCI 2001 - Computer Programming Concepts / Fall 2018 / A
ENGC 1101 - Freshman Comp / Spring 2019 / A
MATH 2400 - Probability & Statistics with Calculus / Spring 2019/ A
MATH 2510 - Calculus III / Spring 2019 / A
PHYS 1122 - Physics for Engineers & Scientists / Spring 2019 / A
COMM 1101 - Public Speaking / Fall 2019
ESCI 1001 - Earth and It’s Environments / Fall 2019
MATH 2242 - Linear Algebra & Differential Equations / Fall 2019
PHYS 2503 - Foundations of Modern Physics / Fall 2019
Elliott is also an active member of the Normandale Mathematics Club and the Mu Alpha Theta club were he was recognized in May, 2019 as a member who made notable leadership contributions. Elliott is also a volunteer high school mathematics tutor for the Bloomington school district though the America Reads America Counts program.
Copyright © 2019 - All Rights Reserved.


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Logic puzzles are puzzles that revolve around linear thinking and logical deduction. Logic puzzle are fairly common in puzzle hunts, but are also a very common puzzle type in general due to their prevalence in casual puzzle-solving mediums such as newspapers and printed puzzle publications. However, they are not to be underestimated simply due to their commonality, as puzzle hunts often create variations on classics, or introduce constraints not normally seen in the wild.
Core Characteristics[edit | edit source]
Logic puzzles in general require an aspect of mathematical or logical thinking to solve, and often involve a specific path of deductions to be made and followed in order to reach the singular solution at the end.
One key component of a logic puzzle is a lack of ambiguity. A logic puzzle (at least at base level within the genre, without additional puzzle hunt-y twists) should have a single solution. While there may be multiple ways to reach that solution, there should not be any way to reach an alternate solution.
History of Use[edit | edit source]
Logic puzzles in their more deductive and wordy forms originate primarily from figures such as author Lewis Carroll (who wrote the book The Game of Logic that included various syllogism-based puzzles) and mathematician/philosopher Raymond Smullyan (who wrote several books combining mathematical and logical puzzles with narrative settings).
While some popular grid-based logic puzzles have early origins in newspapers as small novelty activities, many originate from the Japanese puzzle company Nikoli, which was established in 1980 and is most famous for popularizing (although not inventing) Sudoku puzzles.
Subtypes[edit | edit source]
Grid Constraint[edit | edit source]
Grid constraint logic puzzles, as the name suggests, involve filling in or manipulating parts of a grid based on a series of rules and constraints that vary depending on the specific puzzle type. The vast majority of grid constraint logic puzzles involve drawing lines, shading spaces, or placing numbers, and can therefore be divided into the following categories:
Path Drawing[edit | edit source]
Path-drawing logic puzzles involve connecting points, drawing walls, and making loops within the constraints set by the puzzle. The goals in path-drawing puzzles are often loop-based, requiring solvers to draw a continuous path through the grid. Other goals include creating interconnected systems and dividing a grid into specific regions.
- Corral - A loop (representing walls) is drawn around a series of numbers so that the amount of squares visible in cardinal directions from those numbers is equal to the numbers themselves (including the space the number is on).
- Hashi wo Kakero (Bridges) - Lines (representing bridges) are drawn between numbered circles indicating the number of lines connected to them. The goal is to have all circles be connected, with a maximum of two lines existing between any given pair of circles.
- Knight's Tour - A path must be found around a grid, hitting every available square while only moving in an L-shape like a knight in chess.
- Masyu - A closed loop is drawn around a grid, passing through black and white circles that dictate when the path has to turn.
- Numberlink - A puzzle where matching pairs of numbers need to be connected in a grid without the paths overlapping or crossing.
- Slitherlink - A loop must be drawn around a grid so that numbered cells only have a particular number of sides being used in the path.
- Yajilin - A closed loop must be drawn through a grid. Numbered cells with arrows indicate the number of unused cells (not counting other numbered cells) between that cell and the edge of the grid in the direction the arrow is pointing. Also a grid-shading puzzle.
Grid Shading[edit | edit source]
Grid-shading puzzles involve coloring in cells within the grid based on a series of rules, and can vary between greyscale and full-color depending on the type and difficulty.
- Heyawake - A puzzle in which certain cells need to be shaded so that particular 'rooms' (marked with a number) contain the correct number of shaded cells, and that all unshaded cells are connected.
- Hitori - A puzzle in which a grid of numbers must have certain cells shaded so that no more than one of the same number appears in a given row or column (and all of the unshaded cells are connected orthogonally)
- LITS - A puzzle where a grid divided into polyomino regions must have a single tetromino shaded within each region, so that all shaded squares are connected orthogonally and no two of the same tetromino are adjacent.
- Nonogram - A puzzle where numbered clues next to each row and column of a grid indicate the number of consecutive shaded squares are present in that row/column, and the pattern in which they appear. This puzzle often results in an image.
- Nurikabe (Islands in the Stream) - A puzzle where cells are shaded in order to make numbered cells part of an 'island' containing the number of white cells equal to their number. In addition, all shaded cells must be connected.
- Tapa - A puzzle where cells must be shaded so that clues give lengths of runs of shaded cells around the clue cell.
- Yajilin - Numbered cells with arrows indicate the number of shaded cells (not counting other numbered cells) between that cell and the edge of the grid in the direction the arrow is pointing. A loop is then drawn through the grid, going through every available space. Also a path-drawing puzzle.
Number Crunching[edit | edit source]
Number-crunching logic puzzles can involve math-based logic, but can also simply involve placing numbers within the grid in a certain way.
- Crossnumber - Similar to a crossword, but involving math equations, mathematical properties, and mathematical relationships between entries.
- Fillomino - A puzzle in which a grid with some numbered cells must be filled with other numbers so that all connected regions of the same number contain that many cells (so a region of 3s must contain 3 cells), and no regions with the same number are adjacent.
- Kakuro - A puzzle in which the digits 1-9 are placed in a grid so that clues indicating the sum of the digits in a given row or column are true, and so that no number is used more than once in the same row or column.
- Sudoku - One of the most famous logic puzzles. It involves placing the numbers 1-9 in a grid so that every 3x3 square, row, and column has each digit occur exactly once.
Object Placement[edit | edit source]
Object placement logic puzzles involve placing objects on a grid. This type can sometimes be interchangeable with grid shading genres since in many genres it's sufficient to know whether a square is occupied or not.
- Akari - A puzzle about placing lights in a grid of white and black squares based on clues given by certain numbered black squares (that indicate the number of adjacent lights), so that every white square is in view of a light and no two lights are in view of each other.
- Battleship - A puzzle where clues at the ends of the rows and columns of a grid indicate the number of cells in them that contain part of a battleship, allowing a set of different sized ships to be placed in the grid.
- Star Battle - A puzzle where stars are placed in a grid with marked regions. Every row, column, and marked region must contain a fixed number of stars, and stars may not touch each other, even diagonally.
Deduction[edit | edit source]
- Black Box - A game, program, or device takes an input and gives an output, with the goal being to determine how the transformation works, or how to achieve a specific result
- Optimization - Puzzles about making the perfect move, taking the shortest route, and getting the best possible outcome in a given situation.
- Truths and Lies - Puzzles involving true and false statements, determining which is which, and drawing conclusions based on them.
- Zebra Puzzles - Puzzles in which a series of true, relative statements are given about a set of people, things, and characteristics, allowing solvers to uniquely match them to each other.


I was recently confronted with the problem of plotting 95% confidence intervals on a regression line. I originally thought this would be a straight forward process in R, but soon came to realize there are some intricacies that need to be tackled before completing a presentable plot.
For this example we will construct a regression plot between island habitat area (log transformed) and species number on each island. First we create vectors with the data:
area <- c(153750,15860,5800,5545,11970,2000,100)
species <- c(36,34,33,33,21,12,3)
Logarithms can be applied during the regression, but this procedure creates a problem later when predicted values are obtained from the model (see below). Therefore it is important to create new vectors with the log-transformed values
larea <- log(area)
lsp <- log(species)
We now proceed to calculate the regression between log(area) and log(sp). Based on Island Biogeography Theory (IBT), the area of the habitat should predict species number on a logarithmic scale. We perform a regression analysis using the lm() command. The results of the regression are stored in the mod1 object and printed with the summary() command.:
mod1 <- lm(lsp~larea)
lm(formula = lsp ~ larea)
1 2 3 4 5 6 7
-0.5609 0.1960 0.5266 0.5428 -0.1850 -0.1034 -0.4161
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.13566 0.77702 -0.175 0.86825
larea 0.35837 0.08744 4.098 0.00937 **
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.4781 on 5 degrees of freedom
Multiple R-squared: 0.7706, Adjusted R-squared: 0.7247
F-statistic: 16.8 on 1 and 5 DF, p-value: 0.00937
A quick review of the results show that area significantly predicts species number, as expected from the IBT. One would now proceed to determine the validity and quality of the analysis through plotting of residuals and related techniques. Since we are concerned with plots we will skip these analysis in the current post.
To plot the confidence intervals we need to use the predict() command which is used, as its name implies, to predict y-values based on a particular regression model. The command is actually a wrapper command which applies to different models (lm, glm) and it will adapt itself to the proper analysis. In our case, since we used a liner model (lm), predict()will invoke the predict.lm() command. For more information type ?predict.lm in the R prompt.
To illustrate the use of predict(), type in the following commands:
 11.943083 9.671555 8.665613 8.620652 9.390159 7.600902 4.605170
 3.583519 3.526361 3.496508 3.496508 3.044522 2.484907 1.098612
1 2 3 4 5 6 7
4.144421 3.330367 2.969864 2.953751 3.229522 2.588300 1.514710
The previous code shows the values for the log-transformed area, the number of species, also log-transformed and the predicted values according to the regression equation: lsp = larea*(0.35837) - 0.13566 . These means that the predicted number of species for an area of 11.94 is 4.144, on the logarithmic scale. The values returned by predict() are always located on the regression line.
A simple scatterplot and regression line can be produced with the following commands:
The predict() command calculates confidence intervals for the predicted values.
fit lwr upr
1 4.144421 3.2690777 5.019765
2 3.330367 2.8114190 3.849315
3 2.969864 2.5052945 3.434434
4 2.953751 2.4891850 3.418317
5 3.229522 2.7355129 3.723531
6 2.588300 2.0681003 3.108500
7 1.514710 0.4952322 2.534188
The previous code shows how to compute confidence intervals for larea values in the regression model (i.e. mod1). By adding the option interval= “confidence”, lower (lwr) and upper (upr) confidence intervals are computed alongside fitted values. By default 95% confidence intervals are calculated, if you require higher confidence the level=0.99 may be used. We could plot these confidence intervals on top of the previous figure, by storing the results of the predict command on an object and then using the lines() command:
a <- predict(mod1, interval="confidence")
lines(larea, a[,2], lty=2)
lines(larea, a[,3], lty=2)
This graph seems a bit “choppy” and this effect is due to having few data points in the regression. We can solve this problem by predicting a larger number of values and their corresponding confidence intervals. This should result in smoother confidence interval lines. To do this we need to create a vector with a large number of values in the range of the original x-variable (i.e. larea). We then use these new values to calculate predicted values (which we wont use) and their confidence intervals to plot them as curves.
newx <- seq(min(larea), max(larea), 0.1)
a <- predict(mod1, newdata=data.frame(larea=newx), interval="confidence")
Now, these two last commands require a detailed explanation. the first one creates a sequence starting on larea’s minimum value, ending on its maximum value taking 0.1 steps. The newx vector contains a total of 74 values.
The second command calculates predicted y-values for newx. In order to accomplish this we need to tell R to use newx as a new set of data and use it as if it were larea. This is accomplished by the option: newdata=data.frame(larea=newx).
It is very important, that we use the same name as the x-variable in the model (i.e. larea in mod1), otherwise R will complain about vectors of different size. Now, the only thing left to do is to redo the plot and add the lines:
It is very important to use newx in the lines() command otherwise the length of vectors will not match.
the lines in this final graph are a lot smoother.


My daughter loves to count! 1-10 and over again. I created this egg matching game to create a little challenge for her. She says her numbers 1-10 well, and is even working on 11-20. She will count her toys but now I want her to visually see the numbers and to match them together.
The Egg Number Game is simple!! Just label some Easter eggs (I seem to always have them around after Easter!) and label an egg carton.
Now it becomes a puzzle! My daughter had fun just putting the eggs from the basket to the carton, and didn’t really match the numbers yet, haha. It will be fun watching her figure it out!
It is a game with many advantages: you can use eggs and a carton for color identification, aid in dexterity and it is just a simple but fun activity!
She did it!!! Not really, I helped:)


Math Skills Center
Visit us in the CMCThe Math Skills Center is located on the 2nd floor of the Center for Mathematics & Computing (between the Math Department and the computer labs and classrooms).
The Math Skills Center supports students who are taking math and math-related courses. It's also a great place to study, to do homework, and to meet for one-on-one tutoring.
The Math Skills Center provides a number of services:
- drop-in tutoring
- one-on-one tutoring (see Russ for more information)
- algebra and pre-calculus review
- pre-calculus software and VCR tapes on statistics and calculus
- preparation software for GRE, LSAT and MCAT entrance exams
- lending library and magazine rack


Longford’s nine secondary schools have each expressed their delight at this morning’s (Wednesday, August 15) Leaving Certificate examination results. This year’s most topical subject was higher level maths as it earned students 25 CAO bonus points for a grade D3 or better in higher level.
Des Cullen, principal at Moyne Community School, said there had been a “huge increase” in those taking maths at this level.
“Over quarter of our students did the honours maths and of those, half got an A or B. That’s a great result at higher level,” he said.
He added: “Our highest points was 590 so far this morning. There have been a lot of A1s and A2s in all subjects. Overall we’re very happy with the effort the students have made.”
Templemichael College, Longford, were also jubilant. Sorcha Nic Dhonnacha (principal) told the Leader: “A lot of them now have the points they need to move ahead into other courses. We had a repeat Leaving Certificate maths class and many of them got the results they needed to do subjects such as engineering.”
Paul Costello, principal at Mean Scoil Mhuire, Longford, was “delighted” with the performance of the school’s ladies.
“They started arriving here at 8.30am and so far everyone has been very happy. About 10 percent of the students had above 500 points, and yes as you can imagine there were tears of joy,” he said.
In Ballymahon Vocational School, Teresa Victory (principal) told the Leader that the results had gone very well.
“Every child did their best. We had one who got over 600 points, which was exceptional. But it is a big day for all of them. There’s so much pressure on them these days to get places (at college),” she said.
In the north Longford town of Granard, Moira Mahon, principal at Cnoc Mhuire Granard, said there was “great excitement” in the halls of her school.
“They’ve been coming in since 9am this morning and they are very happy so far. The student that did the work has done very well. The Leaving Certificate rewards hard work.”
Meanwhile in Lanesboro Community College, principal Jimmy Flanagan pointed out that success is determined by the expectations of the individual student.
“There are people getting 200 points and they are delighted. Then there are others getting 400 points and they are unhappy. It depends on the ambitions they have. Overall though, they all did very well and we are delighted for them,” he said.
He added: “The 25 extra points with honours maths has made a serious difference. About one-third of our Leaving Certificate students took honours maths and next year, I would expect a lot more to do it.”
Damian Cunningham, principal at St. Mel’s College, Longford, said: “The students performed excellently. There were a lot over 500 points, and one over 600 points too. The majority got what they expected and the parents are really happy too.”
Speaking about the bonus points in honours maths, his deputy principal Bill O’Meara said: “A lot were pleased with the bonus points and it has certainly helped students going forward for college.”Ardscoil Phadraig principal Garret Brookley described the atmosphere as “ecstatic”. For him, the subject of Irish was most significant.
“There were excellent marks in the oral Irish, and our work in this area has really paid off,” he said. “We had 20 students sitting the Leaving Certificate this year and they were a very successful class – today they are a very happy one too.”


Jeffrey is the Chief Data Scientist at AllianceBernstein, a global investment firm managing over $550 billions. In this role, he is responsible for leading the global data science group, partnering with investment professionals to create investment signals, and collaborating with sales and marketing teams to optimize sales. Graduated with a Ph.D. in economics from the University of Pennsylvania, he has also taught statistics, econometrics, and machine learning courses at UC Berkeley, Cornell, NYU, the University of Pennsylvania, and Virginia Tech. Previously, Jeffrey held data science and analytic leadership positions at Silicon Valley Data Science, Charles Schwab Corporation, and KPMG.
Workshop: Time Series Forecasting Using Recurrent Neural Network and Vector Autoregressive Model: When and How
Given the resurgence of neural network-based techniques in recent years, it is important for data science practitioner to understand how to apply these techniques and the trade-offs between neural network-based and traditional statistical methods. This lecture discusses two specific techniques, real-world applications and their advantages and disadvantages, and demonstrations of exploratory time series data analysis.
- Vector Autoregressive (VAR) Models – one of the most important class of multivariate time series statistical models applied in finance.
- Recurrent Neural Network (RNN) - a neural network architecture suitable for time series forecasting.


Mexico CityAccording to various mathematical calculations, they indicate that there could be a world with a size between Earth and Neptune, which was named as Planet 9 or X. And could explain the path of Transnpunian objects, which is any body of the Solar System whose orbit is located completely beyond the orbit of Neptune.
The researcher of the Institute of Astronomy of the National Autonomous University of Mexico (UNAM), Leticia Carigi reported that in our solar system we do not have any such planet. And that these are called super-lands and in other planetary systems are very common, but not here.
By 2015, astronomers at the California Institute of Technology obtained mathematical evidence of the possible presence of a planet with an elongated orbit in the outer Solar System.
Leticia Carigi detailed that the hypothetical world could have between 2 and 15 times the mass of the Earth.
It would also be located at 200 or 1,500 astronomical units, distance from the Sun to Earth.
According to mathematical models, Carigi indicated that Planet 9 would complete the return to the Sun every 20,000 years.
Although it has never been seen and its existence is based on mathematical models, planet X could be a planet or a large moon ejected from another planetary system, or perhaps formed in our Solar System.
A study by researchers Konstantin Batygin and Mike Brown of the California Institute of Technology indicates that if planet 9 exists, it may be discovered by the year 2030.


A Tire Size Calculator will give you the dimensions of your tire, including its diameter and width. You can also input the number of revolutions per mile, and other information. Whether you’re looking for a larger or smaller size tire, you can use this tool to get the details you need. The results are always in percent, which means the calculations are completely accurate. If you have any doubts, consult the vehicle’s manual or contact the manufacturer.
The profile numbers are the sidewall height and tire width ratio. The aspect ratio is the proportion of tire height to tire width. For example, a half-inch tire would have a sidewall height that is 50% of the tire width. A profile number greater than 200 indicates a sidewall height that is 82% of the tire width. The diameter is indicated in millimeters. Using a Tire Size Calculator is essential if you want the correct size for your vehicle. click
The tire size calculator requires that you know the aspect ratio and wheel diameter. These numbers can help you find the right tire for your vehicle. You must know these two values in order to correctly calculate the width of a tire. You can find these out with a Tire Size Code. By doing this, you will have the correct size for your car. If you don’t know the aspect ratio, you can use the Tyre Size Calculator.
When you’re using a Tire Size Calculator, you should be familiar with the three-digit number preceding a forward slash. This number represents the ratio of the width to the height of the tire. The height is the distance from the outer edge of the tire to the sidewall. The width is the measurement from the rim to the outer edge of the tire. The aspect ratio is the product of the width and height. The height will be greater than the width.
In addition to the aspect ratio, you should also be aware of the tire size code. The tire size code is a combination of letters and numbers. It determines the size of a tire. Then, you must determine the height of the rim. The tire size will affect the wheel’s center. It’s best to choose one that fits your wheel. This is the easiest way to find the right size of a new tire.
A tire size calculator will give you the width and height of a tire. The width and height are the two most important factors for your vehicle’s safety. You should always check the size of your tires before purchasing a new one. You should check the sidewall height and the profile of your tires to ensure they are compatible. Inspecting the sidewall height and the width of your car’s tires will help you determine which type of tire you need.
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Teaches students how to count to 100!!!
Number Recognition, Skip Counting, Even and Odd Numbers.
Students are first introduced to the numbers 1 to 100 in the learn section. Students can click on the number to hear its name and also see their value using the number counting stars.
The next section teaches students about even numbers. Even numbers are numbers that end in 2,4,6,8 and 0. Students simply click on the even numbers on the board. Correct answers are highlighted in green.
Next Students are introduced to odd numbers. Odd numbers are numbers that end in 1,3,5,7 and 9. This section works like the even numbers section where the students simply click on the correct odd number.
The 4th section teaches students skip counting. Students can select the number interval and then click on the numbers to see their skip counting pattern
The last section is the Find the numbers section. Students are challenged to find the hidden numbers on the board.


Mathematics Curriculum Overview Year 6 - Year 13
This is an outline of the maths curriculum for students offered by the Federation of Evesham High School and Simon de Montfort Middle School.
In Year 6 pupils at Simon de Montfort Middle School have 11 lessons during a two-week cycle of the curriculum. Specialist maths teachers build on work covered in Year 5 and strengthen numeracy skills whilst preparing pupils for the KS2 in exam in the summer. You can find out more by visiting the link below to the relevant page of the Simon de Montfort web site. Read more.
In Years 7 and 8 pupils have 8 lessons per cycle. Specialist maths teachers deliver the National Curriculum enriched with problem solving activities and ICT. You can find out more by visiting the link below to the relevant page of the Simon de Montfort web site. Read more.
All pupils begin their GCSE course in Year 9. The school follows the AQA Modular specification
In Year 9 pupils take Unit 1 which focuses on Statistics and core maths topics such as fractions and percentages. This is a calculator based unit.
In Year 10 pupils take Unit 2 which focuses on more core topics but without the use of a calculator. Algebra is also part of the second unit. Read more.
In Year 11 pupils take the last unit, Unit 3, which builds on the previous units as well introducing work on shape. Read more.
In the Sixth Form, the Edexcel Modular specification is followed at AS and A2. Further Maths is also an option. Six modules are taken, three in Year 12 and three in Year 13. Read more.
Further information can be obtained by following the above links or by contacting Mr Fox.


BURGAS INVITATIONAL MATHEMATICAL TOURNAMENT/CONTEST
ACAD. NIKOLA OBRESHKOV
In connection with the 50th anniversary of the school
DATE: 29 May 2021
WHERE? ONLINE – using the MICROSOFT FORMS PLATFORM
PARTICIPATION: By invitation
GROUPS: Five age groups: Grades 3 – 4, 5 – 6, 7–8, 9–10 and 11–12
NUMBER of the problems – 20 for each group in the scheme 10 + 10 (10 Multiple choice problems with five options and 10 short-answer problems). The last problems in each group can be the same as the first problems in the next group.
LIMIT of the participants – each country can include up to 10 participants in each group (in total – up to 50). The same applies for the Bulgarian participants from other Bulgarian cities. The number of participants from Burgas is unlimited.
WORKING LANGUAGE – Translation of the problems will be allowed for the primary school students. For the middle school and high school students the working language is English.
PROBLEMS – All participating countries are kindly asked to submit problem proposals /10 – 20 problems/ for the different age groups.
AWARDS – half of the participants will receive diplomas (and medals) in the ratio 1:2:3.
DURATION of the contest – 90 minutes.
Mr Krasimir Stoyanov


In my previous post I introduced a spreadsheet (download link here) that allowed you to calculate what number you need to hit in order to safely retire for the rest of your life. In this post I’ll dig into how the spreadsheet works, so that you can understand where these numbers are coming from, and how you can incorporate the techniques into your own modelling. There’s a number of different steps involved in the simulation, so let’s start from the bottom and work up!
1) Model the Market
Making an accurate model of future financial market behavior is a fool’s errand, making a statistical model only slightly less so. So we’re going to do just that.
I pulled historical returns from the S&P 500 (a total stock index fund) and 10-year Treasury Bonds, as well as historical inflation. From these I calculated means, medians, and standard deviations, and modelled future returns as normal distributions. The distributions of this data are not symmetrical, which is to say they are slightly skewed towards one side. My poor-man’s method of correcting for this was to use the average of the data’s mean and median as the normal distribution’s mean. You can see below the models I used in black overlaid on the historical data in gray.
For the curious, here are the real-world stats:
|Mean Return||Median Return||Skew||(Mean + Median)/2||Standard Deviation|
The stocks and bonds are decent fits, but going back to 1914 means that our inflation model includes two world wars and the 1970s recession that throws off our distribution quite a bit. As pictured, restricting the inflation data to the past 30 years gives an almost perfect fit. However I think that given that we have had several periods of high inflation in the past century, a simulation that extends a further 100 years out should hold the possibility for the same.
Normal distributions do well enough for our purposes, but I the weakest point of this entire simulation is in these models – I’d like to be able to incorporate skewed distributions that hug the data better, and autocorrelation (esp. for inflation) would be nice. If anyone knows some simple ways to do this please leave a comment.
2) Model spending and income
Spending and side-income will also be modelled as (surprise!) normal distributions. The only difference from the market models is that we include a spending minimum threshold (user-set), as well as an income lower threshold ($0). For example, below is the spending probability curve for a scenario where our minimum expenses are $20k, our target spending is $25k, and our 3σ (three standard deviations) variation in spending is ±$15k. Any part of the bell curve that lands to the left of $20k is brought up to this minimum.
This simulation accounts for inflation in all these, so your spending and income will rise over time to account for cost-of-living increases.
3) Simulate a long and (sometimes) prosperous life
Now that the models are built and we have our inputs, it’s time to simulate our lifetime financial performance. Looking at the screenshot below should make these calculations obvious.
Kidding. There are a lot of columns in there that are nothing more than either shared inputs for other columns, or alternate ways at looking at the same numbers. So let’s hide everything but the relevant columns, and zoom in to the first two years.
The simulation is straightforward. You start a year with a given net worth. You spend and earn a certain amount that year, as randomly chosen based on the probability models discussed earlier and adjusted by the cumulative inflation up until that point in time. Market percent returns are randomly chosen, and those percent returns are applied to your beginning balance (minus half your spending and plus half your other income, which is an assumption that you have earned and spent half of the year’s total at the halfway point in the year). This give you your market dollar returns. Then your year-end balance is simply found by taking your starting balance, subtracting your spending, adding your income, and adding in your dollar market returns. Repeat for the next 100 years.
4) Live 1000 lives
Since our 100-year simulation is based off of randomly-drawn numbers, it is only one of an infinite number of possible outcomes. Finding all of these and computing an exact success rate is a bit beyond my available computing power. However looking at 1000 of them and determining an approximate success rate is completely doable. This approach is called a Monte Carlo simulation, and it is used for this sort of analysis in a wide range of industries.
Excel is a slow tool to be using for Monte-Carlo simulations, and the 1000 number was arbitrarily chosen as something that gives decent results while not melting my laptop in a pool of white hot compounding interest. However, it is small enough though that we’ll see statistical noise in the end results. Ideally you want to scrap this whole spreadsheet and write it up in a proper programming language so that instead of 1000 cases, you can run a million.
How to do this? I’m going to cheat and refer you to the youtube video that showed me how to implement Monte-Carlos in Excel. Only the first few minutes are relevant.
To distill the video into a sentence, make a top row with the formulas you want to apply to the 100-year simulation and extend it down 1000 rows using a slightly-hacked data table. For our analysis we are monitoring whether we ever hit a net worth lower than our minimum income, for different time horizons. Setting this as our first row, we end up with the table below.
The success rates at the top is counting the number of successes as a proportion of the total number of Monte Carlo runs.
5) Repeat the above for nest eggs of varying size
There is no good way to automatically run multiple Monte Carlo analyses in Excel, and so this has to be done by copying and pasting a one-row group of results multiple times. This is tedious, so the copy and pasting is done using a dirt-simple Excel macro that I whipped up.
I didn’t have any experience doing Excel macros/VBA before this, and it was surprisingly easy – I highly recommend trying to do it yourself so you gain that experience. For education and for those wary to enable macros on unknown spreadsheets they download from the internet (generally a smart idea!), here’s what’s executed when you click the ‘Recalculate Results’ button.
Private Sub CommandButton1_Click() Dim i As Integer Dim pasteRow As Integer Dim numSteps Sheet2.Range("F8:J10000").ClearContents numSteps = Sheet7.Range("C9").Value - 1 For i = 0 To numSteps Application.ScreenUpdating = False pasteRow = 8 + i Sheet7.Range("B4").Value = i Sheet7.Range("C4:G4").Copy Sheet2.Cells(pasteRow, 6).PasteSpecial Paste:=xlPasteValues, Operation:=xlNone, SkipBlanks:=False, Transpose:=False Application.CutCopyMode = False Application.ScreenUpdating = True Next i End Sub
And so finally, the calculated results are all copied into a single table, and we have the data we are looking for. From there it’s a simple process of graphing these results and looking up the recommended target net worth/withdrawal rate for your given acceptable chance of success.
In the graph of the results, we can see the statistical noise that I mentioned earlier. If I were generating results to publish I would bring the number of Monte Carlo runs up to 10,000, which would smooth those lines out a bit and let us take a smaller step size (at the cost of taking 20 minutes to finish). For trying out different scenarios though, this is fine.
Some other implementation notes
One input that isn’t quite clear is the ‘Spending Correlation to Market’. This variable is meant to tie your spending to the market, so that you spend less in a down market and more in an up market. Say that your spending for that year randomly comes out to +2σ. Setting this correlation to 100% means that if the total market movement (i.e. movement of stocks and bonds as weighted by your investment ratio) is -2σ, then spending will adjusted to -2σ. If the correlation is set to say 75%, then in this scenario spending will be adjusted to -1σ (which is 75% of the distance between the two variables). On the other far end, setting the correlation to -100% will mean that you tend to spend more in a down market and less in an up market. (I don’t recommend living this way).
There are several different basic bond-stock allocation strategies I’ve built in, and these are implemented by populating a few tables and deciding which one to use through a series of nested ‘if’ statements that check the strategy the user has selected. There’s a ‘custom’ option if you want to throw in your own strategy without messing with the defaults.
I hope this was helpful in explaining what goes into this financial simulation, and perhaps helpful for building your own. Finance is not my field, and if I’ve made some major mistakes then please let me know so I can correct them, but otherwise I encourage you to download the spreadsheet and play around with it.


Math is usually not everyone’s favorite subject, but I thought if people could see how fun math can be I could change some minds!
- Who doesn’t love a great math game website?? This one covers all the basics and works for all ages! Cool Math
- Math Playground is another great website that breaks games down by grade level for students to play.
- Using games we already love such as connect 4 and putting a math twist usually works. Kids know the rules already and they can practice math skills!
- WAR is classic card game that can be used in math class if you have some time to kill. Instead of playing traditionally with the highest card winning, change the rules and have the students flip two cards each time and multiply the values. This allows students to practice multiplication skills while playing a game of cards!
- Kahoot! is a great game website to use in the classroom especially when it comes to math. The students are able to answer questions while earning points in hopes to be the winner. This is engaging because all students answer the questions while making it a bit competitive. Teachers also can see a report of all of the questions answered correctly/incorrectly per student.
- Math Game Time not only has games broken down by grade level, but also has videos and worksheets to practice math skills.
- I came across Rachel’s blog on Pinterest and use her dice games in class whenever I have 5-10 minutes to kill!


We start with a conceptualization of the environment, scenario and context of learning to then describe and analyze the learning environment evidenced in the area of Mathematics of the 7th grade of EGB “Juan Bautista Vásquez”.
Publication date: October 2017.
Description: Illari Journal, Journal for students who will be teachers. Number 4, October 2017.
How to cite (APA Sixth edition):
Ortega Ochoa, E. G. (2017). Learning environment in the area of Mathematics of the 7th grade of E.U. “Juan Bautista Vásquez”. Illari, (4), 42-45. Retrieved from https://revistas.unae.edu.ec/index.php/illari/article/view/261


Our Golden Ratio design is made from quotations about the connection between math & nature and in the shape of a Golden Spiral and Golden Rectangle. The Golden Ratio, a.k.a Phi (represented by the Greek symbol Φ), a.k.a the Golden Mean, a.k.a the Golden Section, is woven throughout so many aspects of our human existence and the universe we live in. And yet we are mostly oblivious to its power over our subconscious. This power attracts us like moths to a light except in this analogy the light is art, beauty, and our natural sense of ‘proper’ proportions. Nature is equally beholden to the influence of the Golden Ratio.
“Phi can be found throughout the universe; from the spirals of galaxies to the spiral of a Nautilus seashell; from the harmony of music to the beauty in art.”~Bruce Rawles
Here is a good summary of Phi: “A straight line is said to have been cut in extreme and mean ratio [The Golden Ratio] when, as the whole line is to the greater segment, so is the greater to the less.” ~Euclid (323 BC to 285 BC). Symbolically this can be represented by: A + B is to A as A is to B = Φ ≈ 1.61803Our Golden Spiral design shows this relationship as both the Golden Spiral and a series of Golden Rectangles arranged in Fibonacci Tiling.
The largest rectangle and the largest square are in proportion to each other such that the length of one side of the square ≈ 1.61803 of the long side of the rectangle. The series of Golden Rectangles rotate 90 degrees and shrink proportionate to Phi. It is called Fibonacci Tiling because the ratio of volumes of the squares within each rectangle follow the Fibonacci series (take one number (starting and add the previous to get the next — 1, 1, 2, 3, 5, 8…).
Draw your own Golden Rectangle by following along with this animated gif. Start with a square and use a string or ruler to handle the angled line that swings down.
Like Fibonacci Tiling, the Golden Spiral within the design uses the Golden Ratio in that the growth factor of each quarter turn is Phi (approximately 1.61803). You can find countless examples in nature making use of this growth rate. Look directly over a pinecone or a succulent plant and you will see this pattern at use by nature! Look at satellite imagery of a hurricane or telescope imagery of a spiral galaxy and you will see this pattern at use by the universe! Look at the proportions of a human face or the shape of a human ear! You will see this pattern!
If you want to draw your own Golden Spiral you can do so by first drawing the Golden Rectangle series as Fibonacci tiling. Then, using each resulting square, draw a quarter circle connecting two diagonals in the square and rotate 90 degrees doing the same to the next square.
It cannot be overstated how important the Golden Ratio is in the things humans tend to find visually appealing. Why that is may very well be connected to why this ratio shows up in nature. Perhaps we are attuned to it for some reason. It’s fun to imagine what that reason may be. Do a quick Google image search for the connection between the Golden Ratio and Art, Design, Architecture to see just how ubiquitous this ratio is.
“In order to understand the universe you must know the language in which it is written and that language is mathematics.” ~Galileo Galilei
If you take two sequential Fibonacci numbers and divide larger one by the smaller one you will approach Phi. The resulting number will get closer and closer to Phi the deeper into the Fibonacci series you go!
Take a look at this table showing the first 20 digits of the Fibonacci series. By taking any number in the series and dividing it by the previous number in the series we get the resulting ratio in the 2nd column. The third column shows the difference between this resulting ratio and the Golden Ratio. The last three columns just continue the series for the 11th through 20th numbers in the Fibonacci series. As you can see the further in to the Fibonacci series we go the closer these ratios approach Phi.
Here are all of the quotations in Think Positive Apparel’s Golden Ratio design:
“Everything in the universe that wants to be successful has to base its existence on the golden ratio.” ~Oliver Grant
“The Fibonacci Sequence turns out to be the key to understanding how nature designs… and is… a part of the same ubiquitous music of the spheres that builds harmony into atoms, molecules, crystals, shells, suns and galaxies and makes the Universe sing.” ~ Guy Murchie
“Without mathematics there is no art”~Luca Pacioli
“A straight line is said to have been cut in extreme and mean ratio [The Golden Ratio] when, as the whole line is to the greater segment, so is the greater to the less.” ~Euclid
“The description of this proportion as Golden or Divine is fitting perhaps because it is seen by many to open the door to a deeper understanding of beauty and spirituality in life.” ~HE Huntley
“The Golden Ratio has inspired thinkers of all discipline like no other number in the history of mathematics” ~Mario Livio
a + b is to a as a is to b = Φ1.61803…
Join the conversation and let us know your thoughts on the Golden Ratio, Golden Rectangle, Golden Spiral, or its connection to nature!
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A fast algorithm to derive Pareto Optimal Solutions
when we are dealing with multi-criteria and multi-objective problems in meta-heuristic algorithms, deriving pareto optimal solutions is one of the techniques to choose the best answers (optimal solutions). These solutions are neither globally dominant nor completely non-dominant. Here, a Java class is prepared to for this technique, using the costs matrix. Rows are the solutions and columns are the costs in different objective functions for minimization. This method of achieving pareto optimal solutions is derived from the following research:
Deb, Kalyanmoy, et al. “A fast and elitist multiobjective genetic algorithm: NSGA-II.” IEEE transactions on evolutionary computation 6.2 (2002): 182-197.


If you are looking for the most pleasing proportion between two things you should start with the golden ration (they can be anything from paddings on websites to proportions of buildings). In UX design we can live with the rough estimate of 1.618 for this irrational number.
Golden ratio is the mean that is the most pleasing to the eye. It is found in many works of fine arts, architecture, but also in case of natural objects, and even abstract concepts like stock market analysis. Two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. (a+b)/a = a/b = ϕ [phi]
Getting You to the Greek
Golden ratio is also called “mean of Phidias”, after the Greek sculptor, famous for creating the statues of the Parthenon (He lived more than 400 years before Christ). And popularized by another Greek: Euclid. The „father of geometry” gave the first known definition of the golden mean: A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less.
Mathematically the golden ratio is an irrational number: (1+5^(1/2))/2
Truth to be told in most cases 1.6 is a fair estimate, but with computers it is quite easy to use 1.618. You could go to quite a few more digits, like 1.618033988749894848204586834365638117720309179805762862135… but in realty 1.6180 is more than enough.
The beauty of the golden ratio is that even if you want to use its inverse (1/ϕ, or ϕ^-1) you will get a number smaller by one. So 1/ϕ = ϕ-1 ≈ 0.618.
In the next article about golden ratio we will look into usage scenarios, and some quick and dirty ux design recipes that are based on the mean of Phidias.


Develop & improve fine motor skills with this colourful, fun Geo Pegs & Board Set.
Practice patterning, sequencing, counting & sorting, addition & subtraction and creative design all with the contents of this set.
STEAM activities promote learning and fun in various ways!
36 large pegs in 3 shapes and 6 colours, with lacing holes
1 square base board, 21 x 21cm
Not suitable for children under 18 months old. Supervision required for young children.


Guide - Math and Statistics Programming with F#
Resources for Math and Statistics
This guide includes resources related to math and statistics programming with F#. To contribute to this guide, log on to GitHub, edit this page and send a pull request.
Note that the resources listed below are provided only for educational purposes related to the F# programming language. The F# Software Foundation does not endorse or recommend any commercial products, processes, or services. Therefore, mention of commercial products, processes, or services should not be construed as an endorsement or recommendation.
SciSharp Stack - A .NET based Open Source Ecosystem for Data Science, Machine Learning and AI.
SciSharp provides ports and bindings to cutting edge Machine Learning frameworks like TensorFlow, Keras, PyTorch, Numpy and many more in .NET Core. Since the APIs of the ported libraries are so similar to the originals you can easily re-use all existing resources, documentation and community solutions to common problems in C# or F# without much effort.
License: Various, mostly Apache 2.0 or MIT
Math.NET Numerics - provides a large collection of algorithms needed in science and engineering, including linear algebra, special functions, statistics, probability models, interpolation and FFTs.
In addition to the core .NET package, Numerics specifically supports F# 3.0 with idiomatic extension modules and maintains mathematical data structures like BigRational that originated in the F# PowerPack. If a performance boost is needed, the managed-code provider backing its linear algebra routines and decompositions can be exchanged with wrappers for optimized native implementations such as Intel MKL. Supports Mono and .NET 4.0 on Linux, Mac and Windows. The portable version also SL5 and .NET for Windows Store apps.
DiffSharp - An automatic differentiation (AD) library for exact and efficient calculation of derivatives. Also includes symbolic and numerical differentiation.
AD allows exact and efficient calculation of derivatives, by systematically invoking the chain rule of calculus at the elementary operator level during program execution. AD is different from numerical differentiation, which is prone to truncation and round-off errors, and symbolic differentiation, which suffers from expression swell and cannot handle algorithmic control flow.
Using the DiffSharp library, derivative calculations (gradients, Hessians, Jacobians, directional derivatives, and matrix-free Hessian- and Jacobian-vector products) can be incorporated with minimal change into existing algorithms.
License: BSD 2-Clause
FsAlg - A lightweight linear algebra library that supports generic types.
The library provides generic Vector and Matrix types that support most of the commonly used linear algebra operations, including matrix–vector operations, matrix inverse, determinants, eigenvalues, LU and QR decompositions. Its intended use is to enable writing generic linear algebra code with custom numeric types. It can also be used as a lightweight library for prototyping and scripting with primitive floating point types.
Alea GPU - a framework for developing GPU-accelerated algorithms in F# on .NET and Mono.
Utilizing F# quotations and the LLVM compiler it is able to compile GPU kernels on-the-fly and schedule them on one or more nVidia GPU’s. Advanced GPU features such as textures and shared memory are supported. Available from Quantalea.
ILNumerics - an open- or closed-source library offering high- performance numerical algorithms as well as charting and plotting capabilities.
The library is based on efficient, general-purpose array classes implementing vectors, matrices, and n-dimensional arrays. Provided algorithms include standard linear algebra transforms, a high-performance Fast Fourier Transform (FFT) library, and a collection of sorting and machine learning algorithms. Plotting is based on OpenGL and supports both 2D and 3D plots. ILNumerics supports .NET 4.0 as well as Mono (recommend 2.10 or above).
License: GPLv3 or commercial (paid) license.
Extreme Optimization Numerical Libraries for .NET - a set of three libraries focused on vector and matrix processing, linear algebra methods, and statistics functions.
The library includes a large selection of standard algorithms from matrix factorization, function optimization, numerical integration, K-means clustering, and PCA (principal component analysis). Options are provided to run
using pure managed code for portability or to utilize highly tuned native code for additional performance. Extreme Optimization supports .NET 3.5 and 4.0 (2.0 version available) and execution on Mono.
NMath, NMath Stats - a suite providing core math and statistics functions.
NMath provides sparse- and dense-matrix manipulations, FFT algorithms, and numeric algorithms such as curve-fitting, integration, and differentiation. NMath Stats is built on NMath and provides statistics functions such multiple linear regression, hypothesis testing, and nonnegative matrix factorization. NMath and NMath Stats support .NET 4.5 and are available from CenterSpace Software.
F# for Numerics - a collection of numeric algorithms including matrix operations, optimization and interpolation functions, 1D and 2D FFTs, and pseudo-random number generation.
The library uses the standard F# PowerPack Matrix for compatibility. F# for Numerics supports .NET. The library is available from Flying Frog Consultancy.
F# for Visualization - a 2D and 3D vector graphics library with a native F# interface.
The package provides interactive plotting from within Visual Studio and support for generating animations. F# for Visualization supports .NET. The library is available from Flying Frog Consultancy.


Curriculum Website Links
- Pearson SuccessNet our math curriculum.
- IXL math practice.
- MobyMax math practice.
- XtraMath provides basic math fact practice.
- Lizard Point Math has online math allows you to practice basic math facts.
- Math Facts Cafe allows you to create your own flashcards or practice from pre-made flashcards; it is great for practicing basic math facts.
- Figure This provides math problems and challenges to everyday problems.
- Cool Math 4 Kids has math and games for everyone.
- AAA Math has thousands of interactive arithmetic lessons.
- Math Playground is an action packed site for students in grades K to 6.
- Lizard Point Geography is great way to test your knowledge of US geography.
- Kidport click on a state in the map and test your map skills.
- ThinkCentral our literacy curriculum.
- KidsKonnect is a great resource for finding online encyclopedias.
- English Page has Language Arts crossword puzzles.
- English Online Game Zone has Language Arts games you can play online.
- National Geographic Kids National Geographic for kids.
- Bill Nye the Science Guy homepage.
- American Red Cross kid's page for American Red Cross.
- Class Zone for exploring Earth.
- BBC One Planet Dinosaur shows virtual life of a dinosaur!


From a perspective of an average person, math and chess are somehow similar – the word that connects them would be ‘’thinking’’, or even ‘’overthinking’’. And indeed, you must be a good thinker if you want to be successful either in math or in chess. But what surprised me, even from teenage days, is that mathematicians do not often find interests in chess, and vice versa – chess players that I’ve known were not that good in math! How is that possible? Let’s try to speak about similarities between these two areas, about their differences, and at the end about some possible psychological explanations for this phenomenon.
Here are some similarities that I’ve found:
- Both areas are based on scientific principles. Rules, exceptions, axioms, consistency and checking in practice – these are all scientific principles that you can also find in chess, and without which you cannot be a good one;
- Both areas explore numbers and geometry. For math we already know, but in chess, numbers are very important. Pieces value are counted as number of pawns (bishop equals 3 pawns, knight as well, rook equals 5 pawns and so on), and using this method, chess players always evaluate particular position; while calculating, sometimes chess player must compare the number of advanced moves with the number of the moves of the opponent). There are also other calculations of moves when players do not want to lose tempo move (or move which will lose, in the chess meaning, time for something else). When we’re speaking about geometry, in chess we have an artificial one, and let’s say that it’s always in 2D format (maybe pieces are in 3D form, but the patterns are actually in 2 dimension). Let’s try to see one interesting example. In math we have this:
We know Pythagorean Theorem: one leg of triangle squared plus another leg of triangle squared equals the hypotenuse squared (or a2 + b2 = c2). In chess, however, we have something completely different:
If we look at this triangle, and if we count the number of the moves for the king to reach the square h2 from h8, we see that it doesn’t really matter if we go straight or if we go by using two legs of the triangle – it will be again 6. That is not possible in real life, because the shortest distance is always the straight one. From this example we can see that all other geometrical conclusions in chess are also very complex (similar to advanced mathematics).
- Both math and chess have their own ‘’calculator’’ to help solve a lot of tasks. We know that without a calculator we would need a lot of time to solve some tasks with numbers. In chess, engines (or ‘’programs’’) can give you an evaluation of the particular position, way better and faster than even a grandmaster can give. These engines are now so sophisticated that humans literally have no chance to win the game; there are some differences between ratings for humans and engines, but let’s try to give context to understand this better:
1) to become a grandmaster, you need to achieve 2500 rating points (in slow chess)
2) the highest rating in (slow) chess ever was 2882, achieved by the current World champion Magnus Carlsen (in 2014)
3) some engines cannot be even measured, and it seemed that AlphaZero (in 2017) had the rating between 3575 and 3725 points!
- Both math and chess explore possibilities. This is maybe even the biggest connection between these two areas. In math, we know that using the probability theory we can measure percentages and make conclusions, which is also definitely a part of everyday life. In chess, we have the same thing: players are always thinking and calculating about different possibilities. It will be more understandable if we say that the number of possible variations in chess in (only!) the first 40 moves is around 10120! To understand this number better, they say that the number of atoms of the known universe is ‘’just’’ around 1080!
Now let’s try to see what are the differences between these two areas:
- In chess, fighting spirit is an unavoidable part of the game; in math, competitions are present to a much lesser extent.
- In math we cooperate much more with constants and invariant values, while in chess it is opposite – in almost every moment it is possible for the pieces to change their own value (the only ‘’sure’’ thing is that the king is the most important piece and that it cannot be taken!)
- Because chess is a game between two people, there has to be some kind of psychology. And indeed, in real tournaments you have great preparations before games (what opponent is typically playing, how to find some of their weaknesses in the game using chess base and engines, what kind of openings the opponent doesn’t like…), but some players go even further (finding ways to distract opponent from concentrated thinking during the game). In math, we simply do not have anything similar to this. The opponent is static, simply theoretical.
Now when we know some similarities and differences, let’s try to answer the question: why the representation of people in both areas is not so frequent? Possible conclusion might be that the presence of psychology, sports and fighting spirit (and thus the search for more adrenaline) and choosing greater social cohesion leads certain people to devote their abstract thought to chess, rather than mathematics. It seems that in chess, unlike mathematics, it is not enough just to understand something, but it is necessary to prove the same thing – first to yourself, and then to others. Also, it is easier to create new opening variation or new approach in chess than to find out new principle or axiom in the mathematics, so it is possible that innovative and creative people choose more chess than mathematics to express their own thoughts and feelings. Like we said at the very beginning, it is true – both of them must be good thinkers above and before all.
What are your conclusions? Is it in fact easier to be creative in chess? Does serious mathematics lack the psychological aspect competition against an opponent brings?


With our Mortgage Payment Calculator, find out how much interest you can save on your mortgage.
How much interest can you save on your mortgage? The Mortgage Payment Calculator helps you determine how much interest you save or how much of a mortgage payment you can afford with just a slide or a dropdown. Our side by side comparison scenarios allow you to compare various options without having to write anything down or remember to assist you in making an informed decision. Immediately view your results in Chart or Graph format.
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Even without iLogic you can use a math trick in Inventor to set a parameter value based on a logical condition, depending on the value of another parameter.
Strictly speaking it is not about a logical condition, but rather about testing of divisibility by two, using the standard arithmetic operator modulo (%):
returns 1 for odd values of v
and the expression:
returns 1 for even values of the parameter v.
By combining these two expressions you can form a "logical" conditional statement, which evaluates to H1 for odd values of v and to H2 for even values of v:
Analogically you can extend this method also for other values but the resulting expression may get complicated fast.


- Supports Key Stage 1 of the National Curriculum
- Stimulating activities
- A huge variety of fun exercises
- Monitor progress
- Essential literacy and numeracy skills
- Supports the scholl curriculum
- Ages 5-7
Dk – Learning Ladder Years 1&2Learning Ladder Years 1 and 2 is an extremely good CD-ROM aimed at children aged 5-7. It presents a huge number of activities that would help to support the school curriculum.
Children can navigate their way around the playroom, which will develop their confidence with the mouse. Children will enjoy making things move on the screen. There is also a range of fun activities, such as painting and copying the tune.
The program also helps to consolidate and reinforce what children are learning in literacy, numeracy and science at school. There are games involving identifying sounds, making words, addition, subtraction, multiplication and division and much more. Children are rewarded with stickers as they complete activities correctly, which they will love collecting and putting in their own sticker book. —Amanda York


Marc O'Polo damtröja
MATTHEW THURLEY - Dissertations.se
Mathematical Morphology. ▻ The analysis of signals and images based on shape. This tag discusses the theory, applications of Mathematical Morphology to fields of Image analysis, Non linear Signal Processing Methods, Statistical and In mathematical morphology, filters or operators usually operate on sets or functions and they are defined in formal mathematical terms. An algorithm is thus the Mathematical morphology is based on the mathematics of Minkowski Algebra.
2016-03-03 · Mathematical Morphology - Theory and Applications is devoted to the publication on the following topics: Algebraic Theory: Morphology on complete lattices and semilattices, Representation of morphological operators, Fuzzy Nonlinear Scale Space Theory: Morphological decompositions, Morphological Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, surface meshes, solids, and other spatial structures Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, and finds applications in fields including digital image processing (DSP), as well as areas for graphs, Mathematical Morphology The field of mathematical morphology contributes a wide range of operators to image processing, all based around a few simple mathematical concepts from set theory. The operators are particularly useful for the analysis of binary images and common usages include edge detection, noise removal, image enhancement and image segmentation.
University Positions: Science, research and university jobs
Bloch, I. (1993). Triangular Norms as a Tool for Constructing Fuzzy Mathematical Morphologies. In International Workshop on “Mathematical Morphology and its Applications to Signal Processing”, pages 157–161, Barcelona, Spain. Google Scholar Animation of mathematical morphology.
Ramanath Datta - Google Scholar
Mathematical morphology is a This paper shows the different application of mathematical morphology. Keywords. Mathematical Morphology, Dilation, Erosion, License Plate,.
In International Workshop on “Mathematical Morphology and its Applications to Signal Processing”, pages 157–161, Barcelona, Spain. Google Scholar
Animation of mathematical morphology. The input image (left) is dilated by a 3x3 square structuring element and the output is on the right. When any pixel
Wolfram U open interactive courses are free to access in the Wolfram Cloud. No plan is required. Interactive courses can include some or all of the following components: videos, reference notebooks, video transcripts, exercises and a scratch notebook to work on your own code.
Transfusion medicine journal
Köp boken Mathematical Morphology in Image Processing av Edward Dougherty (ISBN Avhandlingar om MATHEMATICAL MORPHOLOGY. Sök bland 99501 avhandlingar från svenska högskolor och universitet på Avhandlingar.se. Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, Mathematical Morphology and Its Applicat: 18: Goutsias, John: Amazon.se: Books. working in computer vision, applied mathematics, and computer graphics. 1998, Inbunden.
Wu, Q.H. - Protective Relaying of Power Systems Using Mathematical Morphology, e-
Detection and identification of logic gates from document images using mathematical morphology. R Datta, PDS Mandal, B Chanda. 2015 Fifth National
Mathematical morphology (MM) is a widely-used framework for efficient processing and analysis of images. Linear filters, according to the
Binary and grey-scale mathematical morphology (distance transform, morphological operators and filters, tophat transform). - Representation
Noggranna bildbaserade mätningar genom oregelbunden sampling. Mathematical morphology (MM) is a widely-used framework for efficient processing and
analysis · Watershed (image processing) · Theory · Complement System Proteins · Mathematical morphology · Language Disorders · Follow-Up Report
Digital Geometry and Mathematical Morphology. Uppsala 14 - 17 augusti.
Experimentell och icke experimentell studie
Image analysis. 2. Image processing--Mathematics. I. Najman 184.108.40.206. Demo mathematical morphology¶ A basic demo of binary opening and closing. Algorithms for Mathematical Morphology 12.1.
A substantial part of CWI's
AForge.NET framework provides set of filters from mathematical morphology.
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Biomat 2015 - International Symposium On Mathematical And
Morphol.. Mathematical Morphology. should be cited as Math. Morphol. for abstracting, indexing and referencing purposes. 2018-09-18 · Mathematical Morphology in Geomorphology and GISci presents a multitude of mathematical morphological approaches for processing and analyzing digital images in quantitative geomorphology and geographic information science (GISci). Covering many interdisciplinary applications, the book explains how to use mathematical morphology not only to perform quantitative morphologic and scaling analyses Mathematical Morphology.
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Processbarhet på prov : Bedömning av muntlig språkfärdighet
2016-04-11 · Techniques related to mathematical morphology. This is a read-only version of imagej.net, available during the transition to the new website, which you can preview here. Greek mathematician Archimedes, who lived from 287 to 212 B.C., was one of the greatest mathematicians in history. His reputation as a lover of mathematics and a problem solver has earned him the nickname the "Father of Mathematics." He inv View student reviews, rankings, reputation for the online AS in Mathematics from Blinn College Mathematics is a discipline that can lead to careers in a variety of areas or industries. The Mathematics program at Blinn College covers mathema View student reviews, rankings, reputation for the online AS in Mathematics from Monroe Community College The online Associate in Science in Mathematics program is designed for students who intend to transfer to a four-year college or unive Featuring Professor Edward Frenkel, from the University of California, Berkeley.