|High quality worksheets for every math skill for Grades 1 through 5. Skills listed have been carefully selected after detailed analysis of the most popular math text books used in the United States. Skills are listed in sequence as taught weekly during the school year. Click any skill to access high quality worksheets on just that skill. Teachers can use alongside current curriculum for excellent homework support activities.
||Teaches all major math skills for Grade 1. Mr. Ed includes a built in high quality tutor that teaches through wrong answers without teacher assistance! Includes a main practice version and a special AutoMode which picks the best starting point for students. The AutoMode version includes a database for recording student results and monitoring progress.
||Students learn multiplication facts fast! Uses special memorization tricks to dramatically accelerate the process. Also includes a database for recording student results and monitoring progress. Give us 30-60 days and the majority of your students will have this essential skill completed, thereby allowing for rapid progress in division, fractions, and all advanced math skills.
||Powerful math skill test will quickly identify skills mastered and skills that are difficult your students. Covers all math skills taught in Grades 1 through 3. Uses drag and drop and multiple choice to identify mastered and difficult skills. After test completion, view student results in your database in a row and column format. You can then click a special button that will automatically combine math worksheets for only skills not passed. How's that for efficiency!


The size of a go board has gone through many changes, from 9×9 to 15×15 to 17×17 and then finally to 19×19. Actually no matter what the size is, a proper game of Go can be played. It can even be enlarged to 21×21 or 23×23. Why then, is it that it stops at 19×19?
This is actually related to the idea of balance. As we all know, on a go board, the 3rd line is the territory line, while the 4th line is influence line. If we want to get all the points on the 3rd line and below, we need 56 stones, and get 136 points in total. If we want to get all the points in the centre on the 4th line and above, we need 48 stones, and can get 121 points in total.
56 stones to get 136 Points in the sides and corners
48 stones to get 121 points in the centre
Taking the average number of points per stone:
136/56 = 2.4286 (For the sides and corners)
121/48 = 2.5208 (For the centre)
The difference between the two values is 0.09 points, which is almost negligible. This means that the efficiency of the stones on the 3rd line and those on the 4th line are almost the same.
If the size of a go board gets bigger or smaller, it will lead to imbalance between territory and influence. The value of the centre will the different from that of the sides and corners.
That is the reason why the size of a board remains at 19×19.


A Disappearing Number
A Disappearing Number tells the true story of Cambridge professor GH Hardy’s extraordinary collaboration with Srinivasa Ramanujan, a self-taught mathematician from Chennai who, with almost no formal training, made some of the most important mathematical discoveries of the 20th century.
Interwoven with the modern-day tale of mathematician Ruth and her bemused but devoted husband, the play is a celebration of the questions that lie beneath our understanding of the world, and, above all, the beauty of numbers.
A Complicité co-production with barbicanbite07, Ruhrfestspiele, Wiener Festwochen, Holland Festival, in association with Theatre Royal Plymouth.
© Joris-Jan Bos


Alan Turing: The Architect of Modern Computing
Alan Mathison Turing, born on June 23, 1912, in London, England, was an iconic figure in mathematics, logic, and cryptography. Known widely as the father of theoretical computer science and artificial intelligence, Turing’s contributions have had a lasting impact on technology and the modern world.
Education and Early Life
Alan Turing displayed remarkable intellectual abilities from a young age, particularly in the fields of mathematics and science. After attending Sherborne School, Turing went on to study at King’s College, University of Cambridge. There, he developed the concept of a “universal machine” that could solve any problem given the correct algorithm, laying the groundwork for the digital computers we use today.
World War II and Codebreaking
During World War II, Turing was recruited to Britain’s top-secret Government Code and Cypher School at Bletchley Park. It was here in Milton Keynes where he designed the bombe, a codebreaking machine used to decipher the German Enigma encrypted messages. His work played a pivotal role in decrypting vital Axis communications and is often credited with significantly shortening the war and saving countless lives.
Post-War Contributions and Persecution
After the war, Turing continued to pioneer computer science. He worked at the National Physical Laboratory, where he designed the Automatic Computing Engine (ACE), one of the earliest designs for a stored-program computer.
Unfortunately, despite his remarkable contributions, Turing faced persecution due to his homosexuality, which was a criminal offence in the UK at the time. In 1952, he was arrested and found guilty of indecency. He was forced to undergo chemical castration as an alternative to prison.
Legacy and Pardon
Alan Turing died on June 7, 1954, from cyanide poisoning in an apparent suicide, though some dispute the circumstances of his death. He left behind a lasting legacy in the field of computer science, cryptography, and artificial intelligence.
In 2013, Queen Elizabeth II granted Turing a posthumous pardon for his conviction. His life and work continue to be celebrated and acknowledged worldwide. Today, the ‘Turing Award’ is known as the “Nobel Prize of Computer Science,” given annually by the Association for Computing Machinery.
Alan Turing’s story serves as a powerful reminder of the significant contributions one individual can make to society, as well as a sobering testament to the harm caused by prejudice and discrimination.


-The new CASIO fx-82ms 2nd edition Scientific Calculator usage is highly recommended in all secondary school, college & university studies.
-Its natural Display shows mathematical expressions like roots and fractions as they appear in textbooks, and this increases comprehension as results are easier to understand.
-Casio calculators are designed to make your life simple and help you solve complex equations in mathematics and sciences.
-Casio FX82MS 2nd edition is a scientific calculator that will break the monotony of mind-boggling manual calculations.
-It is enabled to perform an array of 240 functions to your rescue. You can solve trigonometry queries, statistical and complex mathematical problems in seconds. It has an additional feature, i.e a 2-line display that provides a clear view of the input data and the output data simultaneously.
-Casio FX82MS 2nd edition Scientific Calculator offers a multi-replay function allowing the viewing and editing of the formula in use and hence saves effort by allowing fast rectification.
-This scientific calculator has robust plastic buttons yet soft for your fingertips.
-The slide-on hard cover of the calculator safeguards the calculator from external damages, wear and tear.
-Make optimum use of the 9 variable memory features to recall up to 9 memories stored.
-It is an ace device for solving fractional calculations thus, effortlessly resolves fraction problems, even the ones with mixed numbers, whole numbers and improper fractions. The list-based STAT data editor assists you to view and edit the statistical data & the present data groups to make compound tasks simple.
Casio FX-82MS 2nd Edition Scientific Calculator Statistical calculation with STAT-Data Editor Fraction Calculation 2-Line Display School and graphic calculator
-10 digit + 2 digit exponent display.
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-Combination and Permutation• Statistics(STAT-
-9 variable memories


At family level, 85% of the assignments are coincident between both approaches. OTUs were classified by extracting a consensus from the taxonomic assignments of their individual sequences. The objective was to find the taxon that dominates at the lowest possible taxonomic rank, fulfilling
the following criteria: having more than five sequences in the OTU, and being the only taxon with at selleck chemicals llc least 25% of the sequences of the OTU assigned to it. The usage of either RDP or Greengenes assignments produced coincident assignments for 91% of the instances, and does not alter the results significantly. Unless stated otherwise, the results shown correspond to RDP assignments. Collector’s curves To create collector’s curves for the distribution LB-100 chemical structure of OTUs in environments, a single metasample was created for each environment, pooling together all the sequences from the samples corresponding to it. We simulated the sampling
of the metasample by picking up individual sequences randomly, with non-replacement. To produce the curve, we checked whether another sequence for the corresponding OTU had already been seen or not. The simulated sampling continued until no sequences were left. The full procedure was repeated ten times, and the individual curves were averaged to obtain a final result. Statistical analyses We computed a two-way table with the number of different OTUs per taxa and environment. To assess the level of bacterial biodiversity of the different environment types and the
degree of ubiquity of the taxa considered, we computed Hill biodiversity numbers  using this abundance community matrix for both taxa and environments, respectively. We considered Hill numbers for the scale values 0, 1 and 2 which, for a given environment, for example, correspond to the total number of families, the exponential of the Shannon index of biodiversity, and the inverse Simpson index. Exploratory data analyses revealed that those environments with more samples Galeterone tended to have more OTUs. To remove this ‘size’ effect, we transformed the data by dividing the buy PF-4708671 frequencies in each column by the number of samples in that environment, thus creating a community matrix which contained the average number of OTUs per sample for each taxa and environment type. We then carried out a Detrended Correspondence Analysis (DCA) to explore the variation in the transformed abundance matrix. We also fitted a Bayesian hierarchical model to the original community matrix in order to quantify the affinity between taxa and environments. In the first layer, our model assumes a Poisson distribution for the number of OTUs Yij observed in the taxonomic family i and environment type j.


JAMESTOWN – A new program to introduce students to Science, Technology, Engineering and Math skills has been released.
Cornell Cooperative Extension Chautauqua County’s 4-H Program announced Wednesday that a new STEM program dubbed STORY (Science, Technology, Opportunities for Rural Youth) will debut Saturday.
Already, Sherman Central School 6th grade students have been working to learn, solve and come up with a presentation on Biosecurity.
The students have been meeting on a weekly basis for the last two months to work on and help solve the spread of disease carrying mosquitoes.
The STORY program is a regional program funded by a grant from The Ralph Wilson Jr. Foundation.
Officials with the 4-H program will be hosting a presentation at 11:00 a.m. at the Frank W. Bratt Agricultural Center; 3542 Turner Rd. in Jamestown this Saturday. The public is welcome and encouraged to attend.


Located on 140 acres in Charlottetown, the birthplace of Confederation, the University of Prince Edward Island (UPEI) has a rich history with roots in two founding institutions, Prince of Wales College (est. 1834) and St. Dunstan's University (est. 1855). UPEI honours this proud legacy through a growing reputation for research innovation and academic excellence. UPEI's four faculties (arts, education, science, and veterinary medicine) and four schools (business, nursing, sustainable design engineering, and mathematical and computational sciences) offer a wide range of programs and degrees to approximately 4,400 undergraduate, graduate and doctoral students.


Quizipedia mines information from online encyclopedia Wikipedia and then presents that information as a fill-in-the-blank, timed quiz.
Sounds like fun, right?
Problem is, the game overlooks one of the most important components of the multiple choice quiz. The possible answers have to be somewhat feasible to make the quiz challenging. You can't just provide random answers to go along with your random questions.
If I ask you "In Calculus, what is the derivative of 'x^2'?" and then give you these answer choices — A) Bacon, B) Miller High Life, C) 2x, D) Walter Payton — you don't really have to have any knowledge of mathematics to realize that equals one crappy Calculus quiz.
But you gotta give the guy some credit: At least he's looking for a way to make Wikipedia fun that doesn't involve vandalizing the Ryan Seacrest page.


- Bridging work is a great way to keep your student(s) reading, writing and doing math over the vacation and prevents a summer slide in the skills they have been practicing this past school year. Summer bridging work will be due on Friday, September 7th.
- Please click on your student's grade level to view their summer assignments. All students will be required to use our new MobyMax software for math practice over coming weeks. Here is the login information.
- The first day of school is Wednesday, August 29th and is a noon dismissal with no aftercare. Please be sure that all required forms are submitted to the school office.


The history of Bachelor Program in Information Systems:
Department of Mathematics Faculty of Mathematics and Natural Sciences (then) Universitas Airlangga was established in 1982 along with three other departments, namely Department of Physics, Department of Chemistry, and Department of Biology. The Department of Mathematics was formed based on the Decree of Directorate General of Higher Education No. 117/DIKTI/Kep/1984. In the Academic Year 2000/2001, Department of Mathematics had 2 programs, namely Bachelor Program in Mathematics and Three-Year Diploma Program in Information Systems. The Three-Year Diploma Program in Information Systems operated based on Decree no. 347/DIKTI/KEP/2000. The formation was based on the idea of the establishment of a faculty of technology at Universitas Airlangga. The Bachelor Program in Information Systems was established under the Department of Mathematics because of the proximity of these two disciplines in the clumps of science.
In 2008, the then Faculty of Mathematics and Natural Sciences opened five new programs, three bachelor programs (Information Systems, Technobiomedics, Environmental Science and Technology), and two master’s programs (Biology and Chemistry). In line with this, the Faculty of Mathematics and Natural Sciences changed its name into Faculty of Science and Technology (FST), based on Rector’s Decree no. 3294/J03/OT/2008. It was expected that the change would enable the faculty to accompany and support the vision of the university to be more competitive in the international level, particularly in the development of science and technology.
|IDENTITY OF THE PROGRAM|
|Name||:||Bachelor Program in Information Systems|
|Faculty||:||Science and Technology|
|Decree of Establishment||:||No. 4311/JO3/OT/2008|
|Accreditation of the Program|
|Decree of Accreditation||:||035/2012|
|Accreditation Effective Period||:||2012 to 18-10-2017|
|Address||:||Campus C Universitas Airlangga|
|Jl. Mulyorejo Surabaya 60115|
|Phone : +62 31 5936501|
|Fax : +62 31 5936502|
|Homepage : http://si.fst.unair.ac.id/|
|e-mail : email@example.com|


From OriginLab Wiki
64 Bit Support
|| Vertical Cursor
|| This gadget is used to read the X and Y coordinate values for the the data points on the stacked panel plots crossed by the vertical cursor.
Quick Sigmoidal Fit]
| This gadget allows user to use nonlinear regression with a sigmoidal function to fit the selected dataset on graph. It is an adaptation of Fit Sigmoidal tool in Origin 7.5, but with more advanced controls.
|| Curve Intersection Gadget
|| This gadget is used to calculate the intersection points of the input curves in the ROI box.
|| Fitting with Integral
|| Define Integral Fitting Function in Origin and use it for NLFit.
|| Multiple Data: Independent Fit Improvements
|| Support the Iteration and Fit Until Converged button for each independent data.
- Principal Component Analysis
- Hierarchical, K-Means Cluster Analysis
- Discriminant, Canonical Discriminant Analysis
- Factorial ANOVA
- More Normality Tests
- Floating Graphs for Flexible Report Creation
- Replicate Identifier
- Split Worksheet
- Named Range Support


Michal MudroňData Analyst Research areas:
- Data Analysis Dataset Management
Michal Mudroň is a graduate of the Faculty of Mathematics, Physics and Informatics of Comenius University in Bratislava, in the field of Applied Mathematics, his study programme being Economic and Financial Mathematics. As part of the CELSI team since March 2013, he started with tasks including SEO and website content management for the international WageIndicator Foundation. In January 2014 he became a part of the CELSI Data Management team as a Data Analyst.


Last one. In the metric system, "milli" is the prefix for 10-3.A milliliter is sometimes also referred to as a millilitre. So you have to multiply 50 by 28.4130625 and you’ll get 1420,66 ml. 3013 matches found for 50 ml syringe . fl.. Milliliters The milliliter is a unit of volume equal to 1 cubic centimeter , 1/1,000 of a liter , or about 0.061 cubic inches . fluid ounces to milliliters formula. For the ml amount found on US food labels, get the US fluid ounce equivalent by dividing the ml amount by 30. AU $69.64. Seller assumes … or oz. fl.) What is 50 ounces in milliliters? This guide will help you convert liquids from cups to mls. Best Value 2 x 1.68 fl oz $72.20 5% Off Expiration Date:? - There are 1,478.70 ml in 50 oz. If this is water, it is small. OZ. How Many Sprays Will I Get Out of My Perfume? fl.) Tag: 50 ml to oz. AU $114.30. To. So 250 ml to oz is 8,45 when rounded off. 4.2 FL. One ounce (US) is equal to 29.6 milliliters. Best Value 2 x 1.7 fl oz AU$37.62 5% Off Expiration Date:? 3 FL. Quantity Discount: 1 Package(s) 1.7 fl oz AU$19.80. - 15 ml is equal to 0.51 in ounces. 1 Metric Cup = 250 ml. Free shipping . The fluid ounce is sometimes referred to simply as an "ounce" in applications where its use is implicit. $99.90 . ZARA ITXI EDT 50 ML / 1.69 oz (1.7 FL.OZ). = 0.193 oz: 50 ml = 1.69 oz: 1.8 ml = 0.0609 oz: 3.8 ml = 0.128 oz: 5.8 ml = 0.196 oz: 70 ml = 2.37 oz: 1.9 ml = 0.0642 oz: 3.9 ml = 0.132 oz: 5.9 ml = 0.2 oz: 90 ml = 3.04 oz: 2 ml = 0.0676 oz: 4 ml = 0.135 oz: 6 ml = 0.203 oz: 100 ml = 3.38 oz: How many milliliters in an ounce? Report item - opens in a new window or tab. To convert 50oz to ml, simply multiply 50 by 29.5735. Tap to add product. The US fluid ounce, defined as 1/128 US gallon, equals to 29.5735295625 milliliters. 80 mL. Click to add product. 0 0. deansubasinghe. Milliliter (ml) is a unit of Volume used in Metric system. 50 ml = 0.211337642 US cups which is just shy of a quarter cup or just over 1/5th of a cup. oz / 50 ml Unisex U.S.A. * NEW * $89.91. There are two different kinds of Ounces available- us and uk. Free shipping . VINTAGE DIORISSIMO BY CHRISTIAN DIOR 1.7 OZ 50 ML EAU DE TOILETTE SPRAY NIB RARE. shipping: + AU $5.31 shipping . 1.7 FL. $63.50 . Description . AU $132.99. 1 cup. 2 FL. 30 ml = 1 fluid ounce. oz. Free shipping . eBay item number: 184376327133. 493 Reviews | Write a Review | 4 & 10 In Stock . 1061 Reviews | Write a Review | 12 & 32 In Stock . so 50 = 1.66 fluid ounces. Quantity Discount: 1 Package(s) 1.7 fl oz AU$18.71. 1000. 50 ml / 1.7 oz Add to Bag. 1 US customary fl oz ( fluid ounce) = 1⁄128 US gallon = 1.80468754 cubic inches = 29.5735295625 millilitres (ml, cubic centimetres, cm³). Tom Ford Tobacco Vanille 1.7 fl oz / 50 ml Eau De Parfum EDP Unisex USA * NEW * $90.00. Milliliters to Ounces (ml to oz) conversion There is more than one type of Ounces. Milliliters. is a unit of volume. OZ. So, why do you need to convert 50 oz to ml? Milliliters to US Fluid Ounces table Start Increments Increment: 1000 Increment: 100 Increment: 20 Increment: 10 Increment: 5 Increment: 2 Increment: 1 Increment: 0.1 Increment: 0.01 Increment: 0.001 Fractional: 1/64 Fractional: 1/32 Fractional: 1/16 Fractional: 1/8 Fractional: 1/4 Fractional: 1/2 Fairly small, approximately 1.691 ounces US system. Convert Table. 1 US cup = 236.588237 ml. oz. To convert fluid ML to OZ divide the ML value by 29.573529 Definition: Millilitre The millilitre (ml or mL, also spelled milliliter) is a metric unit of volume that is equal to one thousandth of Read more. Tom Ford Santal Blush Eau De Parfum EDP 1.7 fl. Again, you divide 250 by 30 and you get 8,33 fluid ounces (fl oz). TOM FORD F*cking Fabulous Eau de Parfum Unisex 1.7 fl.oz / 50 ml NEW BOX . For US fl oz, divide the ml amount by 29.58 to get the fl oz. Cups. Constant Rate Syringe, 2-50 μL. Vintage Hermes Caleche … 500. or. Milliliter (ml) is a SI volume unit for scientific as well as customary use. 3.4 FL. 800. 90 mL. oz is measurment of weight. Free shipping . Advanced Search | Structure Search. 900. A liter is the standard measurement for volume in the metric system. Blithe, Pressed Serum, Tundra Chaga, 1.68 fl oz (50 ml) By Blithe. Free shipping . ICONIC. Milliliter: Ounces: Note: Fill in one box to get results in the other box by clicking "Calculate" button. How big is 50 ounces? 1 Fluid ounce (oz) is equal to 29.5735296 milliliters (mL). Rare EMERAUDE DE COTY PERFUME BOTTLE Salesman Sample VINTAGE Mini 1920's-1940's . Best Value 2 x 1.7 fl oz AU$35.55 5% Off Expiration Date:? Fruity eau de toilette. Milliliter ↔ Ounces Conversion in Batch. Ounces . The milliliter is a unit of volume equal to 1 cubic centimeter, 1/1,000 of a liter, or about 0.061 cubic inches.. 6.7 FL. or oz. milliliter = fluid ounce * 29.5735296. 50 fl oz to mL conversion. 22 Reviews | Write a Review | 0 & 0 In Stock . It’s a fun and captivating fragrance. 50 UK (Imperial) FL OZ to ML. WHITE CAVIAR EYE EXTRAORDINAIRE ILLUMINATING EYE CREAM $ 805 20 ML / 0.67 OZ Add to Bag. PLATINUM RARE HAUTE-REJUVENATION EYE CREAM … In recipes, 50 milliliters equals 1/4 cup. To convert 15ml to oz, simply divide 15 by 29.5735. The general rule of thumb for fragrance atomizers is 10 sprays per mL, so your standard sample size of 1.5 mL from the perfume counter will provide you with 15 sprays. AU $70.32. Milliliters to US Fluid Ounces. $60.32. Tom Ford White Suede Eau de Parfum EDP 1.7 fl. 0 0. takuwan_199. About 50 ml About Us The milliliter is an SI unit of volume in the metric system. This simple calculator will allow you to easily convert 50 fl oz to mL. There are 8 ounces in a usual glass of milk. 1 ml is 1/1000 liter. The final formula to convert 150 Ml to Oz is: [Oz] = 150 / 29.57 = 5.07 There are few things more frustrating that getting half way through a recipe to find half of the ingredients listed in milliliters instead of ounces – forcing you to wash off your hands, locate a phone and google a quick conversion – but why do we do use two different units of measurement in the USA? OZ. A metric unit of volume equal to one thousandth of a liter. Data should be separated in coma (,), space ( ), tab, or in separated lines. $99.00. Free shipping . CHANEL NO 5 EAU DE TOILETTE 19 ml 0.64 FL OZ MINIATURE vintage. For them, it’s the equivalent of 28.4130625 ml. Select your product. Search term: "50 ml syringe" Compare Products: Select up to 4 products. OZ. Quantity Discount: 1 Package(s) 1.68 fl oz $38.00. Free shipping . Free shipping . 1 milliliter (ml) = 0.033814 fluid ounces (fl oz). LANVIN EAU ARPEGE EAU DE TOILETTE 50 ML 1.7 FL OZ VINTAGE SEALED. Milliliters. 1 ml (milliliter) = 1/1000 L (Liter, the official SI unit of volume) = 0.0338140227018 fl oz (US fluid ounce).US customary fl oz ( fluid ounce, can also be abbreviated as fl. 190ml. 1 mL = 0.0351951 UK fluid ounces Ounces and milliliters conversion charts The chart below shows the conversion between fluid ounces and milliliters, rounded to a maximum of 2 decimal places. 2.5 FL. Next, let's look at an example showing the work and calculations that are involved in converting from milliliters to US fluid ounces (mL to US fl oz). 1 US Fluid Ounce = 29.5735296 mL. There are several good reasons for that. The scent reveals notes of strawberry, honey and vanilla ice cream. 2000. 75 mL. 50 Ounces = 1,478.6765 Milliliters (rounded to 8 digits) Display result as. 50 mL. What is 50 ounces in milliliters? Volume; Contact Us; Car Insurance; Convert 50 Ounces to Milliliters. From. The cup is rounded to precisely 240 mL by US federal regulations (FDA) for food labeling purposes. AU $183.64. 50 ml = … 15 ml to oz to convert 15 ml to ounces and find out how many ounces in 15 ml. Tom Ford White Suede Eau de Parfum EDP 1.7 fl. Please use the appropriate variation from the list below. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. A fluid ounce (abbreviated fl oz, fl. = 16 US tablespoons (tbsp) = 48 US teaspoon (tsp) = 236.5882365 milliliters (mL) = 0.2365882365 liters (l). 2 Continue with Edit. 1250. To convert ml to US fluid oz, fill the blank of ml; Fluid ounces to milliliters formula. *Please select more than one item to compare. oz.) 1 UK fluid ounce is equal to 28.4130625 mL. AU $31.46. Acure, Brightening Night Cream, 1.7 fl oz (50 ml) By Acure. It is equal to about 28.41 ml in the imperial system or about 29.57 ml in the US system. shipping: + $12.90 shipping . AU $46.53. September 2023 Expiration Date The length of time for the expiration date or "best used before" date depends on the type of product, as well as the brand. ATOMIC ROSE by INITIO PARFUMS PRIVES Eau De PARFUM 50 ml /1.7fl.oz . 250ml. A milliliter is 1/1000 of a liter, and is used to measure small quantities. Free shipping . oz / 50 ml Unisex U.S.A. * NEW * $89.91. if it is something rare and expensive, it is large. $99.90. 3/4 cup. Milliliters to UK Fluid Ounces. so i assume 50 ml water. swap units ↺ Amount. oz., or 1 oz. 200 mL. oz / 50 ml Unisex *New with Box* $85.00. 100 mL. Acure, Brightening Day Cream, 1.7 fl oz (50 ml) By Acure. Millilitres. OZ. 125 mL. 1.763698297 oz. Convert 50 OZ to ML. Fifty mL refers to 50 milliliters in the metric system of measurement, which is equivalent to approximately 1 2/3 fluid ounces using the U.S. customary system of measurement. oz. For example, 1 US Fl. SKIN CAVIAR LUXE EYE CREAM LIFTING AND FIRMING EYE CREAM $ 560 20 ml / 0.7 oz Add to Bag. 1 decade ago. OZ. Your handy guide - by Lottie Dalziel 28 May 2019 There’s nothing worse than pulling out all of the ingredients for your favourite recipe only to realise that your measuring cup is nowhere to be seen. Free shipping . 1 decade ago . For example, to calculate how many milliliters is 16 oz of water, multiply 16 by 29.5735296, that makes 473.176473 mL is 16 oz of water. Kelly Caleche Perfume by Hermes EDT Spray for Women 1.6 oz/50ML -NIB . Now the UK citizens have their own idea of what a fluid ounce is. is a unit of volume = 29.5735295625 ml, millilitres (roughly). Fluid Ounces (fl oz) is a unit of Volume used in Cooking system. 50 oz to ml to convert 50 ounces to milliliters and vice versa quickly and easily. What is 15 ml in ounces? 750. CONFIGURE ROUTINE. 50 ml is the place to go for all the beauty enthusiasts that value quality over any other features and they are willing to discover new amazing products. ML to OZ. calculate me. How many ml is 50 oz? OZ. Cups to mL | Oz to mL | mL to Cups: Conversion Table. Due to their special features, some of our items have to fulfil certain criteria to be returned: Swimwear & Swimsuit: will not be able to return except those for babies aged 0 to 36 months. Convert Table. Kelly Caleche by Hermes 1.6 oz 50 ml EDP Spray Perfume for Women New in Box. One milliliter is equal to 0.0338 ounce (US). Underwear: will not be able to return except those for babies aged 0 to 36 months. Metric Cups and Spoons. oz = 1.041 UK Fl.
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“MOM! I need help with my math!!”
If you’ve ever heard those words, (and you probably have if you’re a homeschool mom!) you know the struggle that teaching math can present.
Our family has been thrilled to find Math-U-See, a math curriculum that was highly recommended to us by other homeschooling families.
The goal of this curriculum is to not only teach math formulas, facts, and rules, but to help students become confident problem solvers who are able to use math in everyday life. With the help of manipulatives (colored blocks), students can actually SEE what they are learning.
Another great thing - it helps students ENJOY math!
We started using Math U See when our oldest son was in second grade. He loved it! He had been frustrated with what we were using, so this was a welcome change to our homeschooling math.
In fact, he flew through his first book before the school year was nearly over, and so we decided to start on the next one. We were not intending to finish the second book in that school year, but his love for math and the challenge it presented were a great combination and he finished up that book as well.
One thing that is a huge help to me as a teacher is the video instruction at the beginning of every lesson. Mr. Steve Demme’s teaching style is friendly and encouraging. He’s also great at explaining new concepts in ways that help them to stick.
It saves me a lot of preparation and teaching time to have our children watch the DVD’s. I like to watch them with the boys so that I know how they are learning the concepts and can answer their questions better later on.
The workbooks are printed in black and white, and I do miss the color and pictures that other curriculums offer.
However, we have felt that what we gain with Math U See is so much more than what we’ve lost with not having color workbooks, that it is definitely worth it!
You know, just sitting here writing this article is making me excited about starting school and teaching math!
Return to top of Want Thriving Math Students? Math-U-See to the Rescue!
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What Others Are Saying about Homeschooling-Family.com
"Thank you for sharing your experiences and expertise! My hubby & I are taking the plunge into homeschooling after this school year ends...I am so grateful to your info as I am feeling much more confident in my decision to go this route."
One of my favorite quotes:
Ken Sande says:


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Elastic propagation and FWI¶
The regular scalar propagator has one model parameter (wavespeed). The scalar Born propagator has two (wavespeed and scattering potential). The elastic propagator has three. This makes it interesting to study as an inverse problem, because, in addition to the difficulties that already exist with scalar wave propagation inversion, there are problems caused by crosstalk between the model parameters. The ease of experimenting with different model parameterisations and loss functions makes Deepwave well suited to trying out new ideas to solve these problems. In this example we will just perform a simple forward propagation and inversion, though, to show you the basics.
One popular way to parameterise elastic propagation is with \(v_p\), \(v_s\), and \(\rho\) (the p and s wavespeeds and the density). Another uses \(\lambda\), \(\mu\), and buoyancy (the two Lamé parameters and the reciprocal of density). Deepwave internally uses the latter, and provides functions to convert between the two parameterisations. To demonstrate that you can parameterise the model any way that you like and use PyTorch’s end-to-end forward and backward propagation to update your own model parameters, in this example we will use \(v_p\), \(v_s\), and \(\rho\).
We begin by setting up the model (both background and true, the latter of which we will use to generate the “observed” data) and acquisition:
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu') ny = 30 nx = 100 dx = 4.0 vp_background = torch.ones(ny, nx, device=device) * 1500 vs_background = torch.ones(ny, nx, device=device) * 1000 rho_background = torch.ones(ny, nx, device=device) * 2200 vp_true = vp_background.clone() vp_true[10:20, 30:40] = 1600 vs_true = vs_background.clone() vs_true[10:20, 45:55] = 1100 rho_true = rho_background.clone() rho_true[10:20, 60:70] = 2300 n_shots = 8 n_sources_per_shot = 1 d_source = 12 first_source = 8 source_depth = 2 n_receivers_per_shot = nx-1 d_receiver = 1 first_receiver = 0 receiver_depth = 2 freq = 15 nt = 200 dt = 0.004 peak_time = 1.5 / freq # source_locations source_locations = torch.zeros(n_shots, n_sources_per_shot, 2, dtype=torch.long, device=device) source_locations[..., 0] = source_depth source_locations[:, 0, 1] = (torch.arange(n_shots) * d_source + first_source) # receiver_locations receiver_locations = torch.zeros(n_shots, n_receivers_per_shot, 2, dtype=torch.long, device=device) receiver_locations[..., 0] = receiver_depth receiver_locations[:, :, 1] = ( (torch.arange(n_receivers_per_shot) * d_receiver + first_receiver) .repeat(n_shots, 1) ) # source_amplitudes source_amplitudes = ( (deepwave.wavelets.ricker(freq, nt, dt, peak_time)) .repeat(n_shots, n_sources_per_shot, 1).to(device) )
This created a model where each of the three parameters is constant except for a box, which is in a different location for each parameter. We will use eight shots, with sources spread over the top surface, and receivers covering the top surface. We are now ready to generate data using the true model:
observed_data = elastic( *deepwave.common.vpvsrho_to_lambmubuoyancy(vp_true, vs_true, rho_true), dx, dt, source_amplitudes_y=source_amplitudes, source_locations_y=source_locations, receiver_locations_y=receiver_locations, pml_freq=freq, )[-2]
This is similar to how the scalar propagator is called, but with two differences.
The first is that we pass the three elastic model parameters. We are parameterising the model with \(v_p\), \(v_s\), and \(\rho\), but Deepwave wants us to provide them as \(\lambda\), \(\mu\), and buoyancy, so we convert them. Deepwave provides a function to do this, which we use here, but you can also create your own conversion function if you parameterise your model in some other way.
The elastic propagator can have sources and receivers oriented in each of the spatial dimensions. In this example we are only going to use sources and receivers that are oriented in the first (y) dimension. We could also provide receiver_locations_x if we wanted receivers that record particle velocity in the second dimension, for example.
Now let’s try starting from the background models (constant, without the boxes) and see if we can obtain something close to the true model when we invert with the true observed data:
vp = vp_background.clone().requires_grad_() vs = vs_background.clone().requires_grad_() rho = rho_background.clone().requires_grad_() optimiser = torch.optim.LBFGS([vp, vs, rho]) loss_fn = torch.nn.MSELoss() # Run optimisation/inversion n_epochs = 20 for epoch in range(n_epochs): def closure(): optimiser.zero_grad() out = elastic( *deepwave.common.vpvsrho_to_lambmubuoyancy(vp, vs, rho), dx, dt, source_amplitudes_y=source_amplitudes, source_locations_y=source_locations, receiver_locations_y=receiver_locations, pml_freq=freq, )[-2] loss = 1e20*loss_fn(out, observed_data) loss.backward() return loss optimiser.step(closure)
This just used a standard inversion with the LBFGS optimiser, but the result looks quite good.
The gradients flowed end-to-end, back into the vp, vs, and rho parameters. You can see that there is a little bit of crosstalk between the parameters, though. Maybe you can come-up with a way of parameterising the model, or a different loss function, that does better?


‘Instruct the wise and they will be wiser still; teach the righteous and they will add to their learning.’ Proverbs 9:9.
At St Joseph’s Catholic Primary School, we empower our children with a ‘CAN DO’ attitude in mathematics. We encourage our children to develop their knowledge and understanding of mathematics and aim for all pupils to enjoy, achieve and become confident mathematicians.
Our intent is that all of our pupils:
- Become fluent in the fundamentals of mathematics so that they develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- Solve problems by applying their mathematic knowledge to a variety of problems with increasing sophistication, including in unfamiliar contexts and to model real-life scenarios.
- Reason mathematically by following a line of enquiry and develop and present justification, argument or proof using mathematical language.
We believe that through high quality first teaching, all children have the potential to ‘go deeper’ and broaden their understanding of mathematical concepts.
The Mathematics Curriculum at St Joseph’s Catholic Primary School
The Mathematics Curriculum for Nursery and Reception at St Joseph’s Catholic Primary School
Please click below for our progression of knowledge, skills and understanding.
Here are our policies for written and mental calculations at St Joseph’s Catholic Primary School:
This year we are really focusing upon being fluent with our times tables. School held two parent workshops in the Autumn term to explain the new process for learning the times table facts within school. Below is the information that was shared.
Here are the timetable booklets for your children:
Here is our corridor display, which will be updated with children’s names on a ‘supernova’ star. When a child can fluently answer mixed multiplication and division questions for a times table, they will be awarded a badge and a supernova star!
St. Joseph’s have become times table stars this term, so much so that our display board had to be changed for a larger one! #GoStJoes
Year 5 have really been learning their times tables- just look at the progress from the Autumn term! We are extremely proud of them and want them to keep aiming for the ‘supernova’ stars and badges.
Year 5- Number day
Year 2 have made a great start with learning their times tables by practising counting in 5s!
Year 6- 3D shapes and their nets
Year 5 are off to a great start with becoming fluent with their times tables. Look how many children can fluently answer random multiplication questions for different times tables!


The learning rate is really a tensor. The idea of antiderivative is used for calculating a variety of varieties of integrals. I really like how simple it’s to use, and how simple it makes algebra seem.
The end result is going to be a fantastic approximation to our original function. With these 3 variables, calculus can be employed to ascertain how far and fast a disease is spreading, where it might have originated from and the way to best treat it. This usually means that we’ll transform all the formulas mentioned previously into matrices operations.
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The calculator lacks the mathematical intuition that’s very beneficial for finding an antiderivative, but on the other hand it can try out a high number of possibilities in a short period of time. The idea of displacement can be tricky for many students to comprehend when they first encounter it into a physics class. This kind of discontinuity is called a jump.
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Determine the quantity of terms you would like to calculate. By way of example, assume that overall revenue increased by $100,000 after hiring the extra employees. Learn the information that you will need to calculate a percentage value.
The aim of a free-market system is to maximize the advantages and general value of financial transactions between producers and consumers of goods and solutions. If you’re given measurements of overall utility for unique amounts of the good or service, you may use subtraction to figure the marginal utilities. The selection of the cost function depends upon the application.
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Learning about these factors can help you select the best one for your demands and budget. Derivative is essentially http://www.mathcalculator.org/derivative-calculator/ locating the rate of change in the function once we change the value of x. Before I explain the overall power rule, I wish to explain the concept since it will help us solve complex problems later on. It has also become a major health problem in the US amongst children and teens.
Percent change is a typical way of describing differences due to modify over time, such as population development. Therefore, both these limits are deemed indeterminant. Enter in the remainder of your calculation.
Imagine seeking the lowest point blindfolded as can be viewed below. Within this column I am going to try to explain the essentials of gradient descent utilizing python code. That usually means that the slope will be here’s 360 going this manner.
Well, this Houdini trick doesn’t necessarily do the job. It appears that you’re taking the thinking beyond the box” (TOTB) metaphor considerably more. Thanks for making my life a great deal simpler!
Derivative Calculator with Steps and Derivative Calculator with Steps – The Perfect Combination
NIPS andICLR are famous events within this space to find out more and will assist you with plenty of material you are able to go through. Since you’re on the bottom, each of these options appear to take you somewhat closer to the summit. Utilizing the distance traveled vs. time example, decide on time at which you want to learn the speed of travel.
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If you would like to store any of the custom applets which you have created you can do so due to the calculators 256KB memory space. In the event the gadget lets you know that height and it’s more than the initial height then you know that you started in wrong direction. This graph is created dynamically by the autograd class below the hood.
Men and women that have a knowledge of calculus may use the trendline function on the chart to figure out the area below a curve. It is vital for all students. Solve the equation for the region.
To estimate the derivative of the graph, you have to settle on a point to select the derivative at. The worth of m and c that we’re left with now is going to be the optimum values. This very first purchase derivative is provided by Jacobian Matrix as we’re managing matrix in the equations.
Interest is figured using exponents, and profit over time is figured using logarithms, which is a distinctive sort of exponent. The partial derivative is something which can help locate the Theta for next iteration. So when you define your user-defined function, specifying partial derivatives can diminish the time it requires to perform a set of iterations.
Let’s first find the gradient of one neuron related to the weights and biases. Test each remedy to ascertain whether it’s a maximum or a minimum. The sole distinction is that we have to choose the way to deal with the other variable.
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In case the outcome is a two-digit number, you need to add both digits to find a single-digit number. It easily lets us do the very first example in this part. The range of parameters of these 2 networks is 0.22M.
On the other hand, the MRP is only going to gauge the change of a single variable at one time. In this column, we’ll discuss how foods help to take care of endometriosis. Click the choice to bring a trendline.
Detailed solution displayed. Multiple integration methods are invented through the years, for instance, very simple Euler method and higher-order variants of the Runge-Kutta approach. Understanding of the procedure of u-substitution is going to be required on a number of the difficulties.
Instruction for Windows Users Please make sure the image that you want to print is visible on the monitor. This distinctive variant of the Taylor series is known as the Maclaurin series. This model is going to learn from experience E, and following training, it is going to have the ability to generalize its knowledge to unseen data.


Standardized Testing + Results
Wisconsin Forward Exam
Garden Homes Lutheran School administers the the state recommended standardized test. These standardized tests are given in the Spring to students in grades 3-8 and measure achievement in reading, language arts, mathematics, science, and social studies. Results are shared with parents after the school receives the data from the scoring service.
Measures of Academic Progress (MAP)
Three times a year, GHLS also gives students in grades K5-8 the Measures of Academic Progress (MAP) tests. These tests, all done via computer and on-line, provide a more detailed and frequent assessment of how the students are doing in Math and Reading. Each subject-area test takes about 50 minutes. The results from the MAP tests are shared with parents and used by teachers to identify areas in their instruction that can be improved, thereby making student progress more positive and probable.


Susan L. Kutryb of Latham Named Chairperson of Mathematics and Engineering Science Department at Hudson Valley Community College
CONTACT: Eric Bryant (518) 629-8072, firstname.lastname@example.org
FOR RELEASE: Immediate, Tuesday, Sept. 13, 2011
Susan L. Kutryb, a member of the Hudson Valley Community College faculty for 18 years, has been named chairperson of the Mathematics and Engineering Science Department at the college.
A Latham resident, she holds the rank of associate professor and takes over a department that serves approximately 100 students majoring in the Engineering Science degree program and 70 students pursuing the Liberal Arts and Science: Math and Science degree, as well as hundreds of additional students from other academic areas.
Kutryb has taught numerous courses during her tenure at the college and has been actively involved in the mathematics department's development of distance learning courses as well as hybrid courses, which combine online and classroom learning. She has served as an academic advisor for Math and Science and Engineering Science students and also was a liaison to adjunct faculty members in the College in the High School program, which allows Hudson Valley to offer college-level courses in local high schools during the regular school day.
In 2010, she was the recipient of the SUNY Chancellor's Award for Excellence in Teaching and in 1997 received the President's Award for Excellence in Teaching.
Outside of her teaching career, Kutryb is involved in professional development, having served as a board member and president of the New York State Mathematics Association of Two-Year Colleges.
Kutryb received her Bachelor of Science in secondary education/mathematics from SUNY Plattsburgh and her master's degree in mathematics from the University at Albany.
Kutryb replaces Beth Ernest, who served as interim department chair following the retirement of Cherie Pash-Corr in 2010.
Founded in 1953, Hudson Valley Community College offers more than 70 degree and certificate programs in four schools: Business; Engineering and Industrial Technologies; Health Science; and Liberal Arts and Sciences; and an Educational Opportunity Center for academic and career training. One of 30 community colleges in the State University of New York system, it has an enrollment of more than 14,000 students, and is known as a leader in distance learning initiatives and workforce training. Hudson Valley has more than 65,000 alumni.


Linear regression analysis 2nd edition wiley series in probability and statistics george a f seber alan j lee year 2003 edition 2 language en pages 582. Linear regression analysis 2 nd ed wiley series in probability and statistics series vol 330 langue anglais auteurs seber george a f lee alan j resume sommaire biographie an extensive treatment of a key method in the statisticians toolbox for more than two decades the first edition of linear regression analysis has been an authoritative resource for one of the most . This item linear regression analysis 2nd edition modern regression methods 2nd edition hardcover 17150 cannot be combined with any other offers original price 36800 purchased together 27600 save 9200 buy all now about the author george a f seber phd is professor emeritus of statistics at the university of auckland new zealand alan j lee phd is the chairman of the . Linear regression analysis 2nd ed 1 10 downloaded from sexassaultsltribcom on january 4 2021 by guest book linear regression analysis 2nd ed as recognized adventure as without difficulty as experience virtually lesson amusement as competently as covenant can be gotten by just checking out a ebook linear regression analysis 2nd ed next it is not directly done you could acknowledge even
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AS/A2 Further Mathematics
Central Foundation Boys' School & Highbury Grove School
This course will allow you to delve into maths at a far greater depth and explore all the complex facets of the subject.
Areas that are covered include the series unit, comprising complex numbers, numerical solution of equations, coordinate systems, matrix algebra and proof. You will also examine inequalities of series, first order differential equations; second order differential equations; further complex numbers, Maclaurin and Taylor series. Finally, the further matrix algebra unit explores vectors, hyperbolic functions; differentiation, integration, further coordinate systems.
Six GCSEs at grade B or above including at least a grade A in Maths.
This qualification can lead to further study at university in fields such as science, pure maths, economics and engineering.
The skills learnt in Further Maths are also very transferable to a host of related areas of study and employment.


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EducationMichigan State University - Bachelors, Chemistry , University of New Haven - Current Grad Student, Forensic Science
ExperienceI went to Michigan State University to earn my bachelor's degree in chemistry. I'm currently attending the University of New Haven for my graduate degree in forensic science.
I love tutoring chemistry and math, and I enjoy having the opportunity to share what I know about these subjects with others. In my free time, I like to run, read, knit, and watch college football.
HobbiesRunning, reading, knitting, college football,
10th Grade Math, 1st Grade Math, 2nd Grade Math, 3rd Grade Math, 3rd Grade Science, 4th Grade Math, 4th Grade Science, 5th Grade Math, 5th Grade Science, 6th Grade Math, 6th Grade Science, 7th Grade Math, 7th Grade Science, 8th Grade Math, 8th Grade Science, 9th Grade Math, ACT Science, Algebra, Algebra 2, Algebra 3/4, Analytical Chemistry, Biology, Chemistry, College Algebra, College Biology, College Chemistry, Elementary Algebra, Elementary School Math, Elementary School Science, French 1, General Chemistry, Geometry, High School Biology, High School Chemistry, Honors Chemistry, Laboratory, Math, Middle School Science, Nuclear Chemistry, Other, Pre-Algebra, Quantitative Reasoning, Science, Summer, Test Prep, Trigonometry
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Geometry is quite a tough discipline for most modern students. Most math majors perform geometry projects regularly. This particular assignment requires decent math knowledge. It is definitely not as simple as writing a narrative essay. Every one of the geometry assignments requires complex calculations.
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Year 1 - Honey Pots
Welcome to Honey Pots!
Over the first half term I will be spending time getting to know the children and will ensure that there are many opportunities for learning through play. Through these practical activities, we will identify any gaps in their learning and plan appropriate next steps, linked to the Early Learning Goals and Year 1 National Curriculum. When the children are settled and familiar with the routines in Year 1, we will begin more structured sessions linked to our termly topics, enabling a cross curricular approach to learning. We will be reading a variety of texts (fiction, non-fiction and poetry) to support and enhance our topic learning.
Our Autumn term topic is 'Inside the Toy Box'. During this topic, we will be comparing toys from the past to the toys we use today and will be discussing how they are similar and different. The children will be using creative skills learnt in Art and DT sessions to create their own pop-up toy. In the Spring term our topic will be 'The Great Outdoors'. The children will be learning about different types of animals and plants and will have the chance to grow their own beans. I wonder how the beans will change over time... Our final topic in the Summer term will be 'Over the Deep Blue Sea'. The children will be making a pirate boat from recycled materials, counting with gold coins from the treasure chest and learning directional language to locate features and routes on a map.
Throughout the year in daily maths sessions, we will be developing the children's confidence and mental fluency with whole numbers, counting and place value. We will also be learning how to recognise, describe, compare and sort different shapes and solve problems involving length, mass, capacity/volume, time and money. The children will have access to a range of manipulatives (e.g. Numicon, counting objects, bead strings) to help them explain why and how answers have been worked out. We will use concrete, pictorial then abstract examples to develop the children's understanding of key mathematical concepts.
Over the year, we will be spending lots of time learning outdoors where we will observe seasonal changes, construct dens and nests and learn how to look after the environment. A little drop of rain will not stop us from our outdoor learning so remember your raincoat and wellies!
The children will have daily RWI (Read Write Inc.) phonics sessions where they will continue to develop their phonic knowledge and practise segmenting and blending sounds together. We will prepare the children for the Year 1 Phonics Screening in the summer term. Please look on eSchools for useful phonics resources and to find out ways that you can support your child at home.
I look forward to a year filled with lots of learning and laughter.


Department of Environmental Engineering,Graduate Faculty of Environment, University of Tehran
Department of Environmental Research, Institute for Color Science and Technology
The application of heterogeneous photocatalysis in industrial scale has been hindered by a lack of simple mathematical models that can be easily applied to reactor design and scale-up. This work intends to use a simple mathematical model for predicting methylene blue (MB) degradation in a slurry-annular photocatalytic reactor using zinc oxide (ZnO) hybridized with reduced graphene oxide (rGO)-ZnO composite. The mathematical model presented may be used as a tool to design, scale-up, and optimize annular photocatalytic reactors for water and wastewater treatment. A mathematical model for the photocatalytic degradation of MB with rGO-ZnO under UV light irradiation was developed. This model was achieved by combination of Langmuir–Hinshelwood kinetics and Lambert–Beer law. The accuracy of developed model was checked for predicting MB degradation in other operation conditions such as different photocatalyst dosage and initial MB concentration. On the basis of these results, the accuracy of the model was tested under different experimental conditions, resulting able to be predictive in different operating conditions.


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Slot symbols are symbols that represent different functions and features in slot machines. The most common symbols found in slot machines are the ‘A’, ‘K’, ‘Q’, ‘J’, ’10’ and ‘9’. Older versions of slot machines may also feature symbols such as the number seven, diamond, or BAR symbol. The meaning of these symbols may differ from one culture to another.
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Proportion is an important element when artists are composing a new work, and many of the master artists through history have used a specific tool of proportion to create visually pleasing compositions. The Golden Ratio, based on the mathematical number Phi. In math, the ratio is 1:1.618, but let's not dwell on the numbers; let's look at how this mathematic relationship can improve and advance your art.
Many artists, architects, and designers use the golden ratio in their work because it is considered to be the most aesthetically pleasing proportion. The golden ratio is most often expressed in shape form as a Golden Rectangle, where the ratio of the longer side to the shorter side is the golden ratio. Real-world applications of the golden rectangle include wide-screen television or movie screens, playing cards, and photographs. Filmmakers love the golden rectangle because it frames the human body in a more pleasing way than standard television proportions. Use the golden rectangle as a way to compose human faces for portraits, and your faces will take on a beauty that can be achieved only through a natural balance of elements.
The golden ratio and the golden rectangle are also excellent references for placing elements throughout a composition. The often used Rule of Thirds takes a similar approach to balancing a composition, but the golden ratio can be used for much more detailed purposes. Da Vinci's "Last Supper" is an excellent study in compositional balance and placement based on the golden ratio, and almost all of George Seurat's work is filled with the golden ratio. The balance of these artists' work is obvious; the elements let the eye move naturally and easily around the composition, and give the mind enough breathing room to absorb and give priority to each element.
The golden ratio is found all through patterns in nature: sunflower seeds on the pod, conch shells, and pinecones are all easily recognizable examples of how this ratio plays out over and over again in nature. Crystals and precious stones are formed in the same pattern, but the golden ratio, many writers, artists, and scientists have said, comes into its fullest realization in the human form.
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Graphs are data structures that are highly useful for understanding and represent many real-world problems in all areas, such as business, government, and science.
To take advantage of graph databases we don't need to take a master's in Graph Theory. Instead of that, we must understand what a graph is, and be able to build one by drawing it on paper.
Mathematically speaking, a graph is just a collection of vertices and edges. Or if you don't like math, a set of nodes and relationships that connect them. Graphs represent entities with nodes (vertices), and the way that entities relate to each other is expressed by relationships (edges).
If you stop now and think about it, this structure allows us to model countless scenarios, from commercial systems to more complex problems such as optimization algorithms.
This graph model is formally known as a Property Graph. A property graph has the following characteristics:
- It contains nodes and relationships.
- Nodes contain properties (key-value pairs).
- Relationships are named and directed, and always have a start and end node.
- Relationships can also contain properties (key-value pairs).
Despite being intuitive and easy to understand, the property graph model can be used to describe almost all graph use cases.
As you probably are thinking, graph databases use the graph model to store data as a graph, with a structure consisting of vertices and edges, the two entities used to model any graph. In addition, you can use all the algorithms from the long history of graph theory to solve graph problems in less time than using relational database queries. I'll be covering some of them in my next posts.
Beyond the image above, and now talking specifically about Neo4j, it is an open-source graph database supported by Neo Technology, that stores data using the Property Graph model. It is reliable, with full ACID transactions, expressive, with a powerful, human-readable graph query language called Cypher, and simple, accessible by a convenient REST interface or an object-oriented Java API.
Enough theory and talking for now. Let's prepare our environment to play a little with Neo4j, and build a simple Rails application.
Installing Neo4j on development machines is very easy. If you are on OSX and is using brew, go ahead and issue
brew install neo4j on a terminal window.
Or, if you prefer, follow these five steps:
- Download the Neo4j Community package.
- Unzip on your installations folder, let's say
- Create a symbolic link named
neo4jto the unzipped folder. For instance:
ln -s ~/Applications/neo4j-community-2.1.2 ~/Applications/neo4j.
- Create an environment variable named
NEO4J_HOMEpointing to this symbolic link.
- Change the
PATHenvironment variable, adding the
This way, in the future, when you want to update the Neo4j database on your machine, you can just download the new version, unpack, and update the symbolic link pointing it to the new version.
When you have it installed, open a terminal window and type:
neo4j start. This command will start the Neo4j server on your machine. Now go check it on your browser accessing
http://localhost:7474/. You'll be presented with a super nice administration panel, where you can visualize the data stored on your Neo4j instance, manipulate data using the Cypher Query Language, check all instance configurations, and more.
Neo4j is built on top of Java and the rock-solid JVM. As we want to use (MRI) Ruby on Rails here, let's connect our app using Neo4j's REST API.
To make things simpler, we'll use the awesome gem (surprisingly) called neo4j from @andreasronge. Version 2.x is the stable version. But here we will use it directly from the master branch where version three is under active development, which enables us to use the MRI Ruby connecting to Neo4j via its REST interface. If you are into JRuby, you can even use the stable version and connect using the embedded DB (by filesystem), which means a Neo4j instance running on the same JVM of your app.
This blog post is intended to introduce you to the world of Graph Databases, giving some basic theory about graphs and a practical hands-on using Neo4j and Rails.
For future posts expect to read more about Neo4j, Cypher Query Language, and traversal algorithms.
So, what about learning by doing? And remember: graphs are everywhere!