Evelyn Gottschall Baker Portfolio of Works Pate'' de Verre
Evelyn Gottschall Baker - Portfolio of Works: Pate'' de Verre. I recently began experimenting with glass powders, developing a method of sculpting P te de Verre that goes beyond the confines of mold work. The firing process is completed without the use of molds. I do not use any form of 3D printing or modeling at any point in this process.
Football Themed Stained Glass Fractions
Use your fraction knowledge to answer these questions: 1. 1 2 of 6 = 2. 2 5 of 10 = 3. 4 of 8 = 4. of 12 = 5. 1 3 of 9 = 6. 1 3 of 6 = 7. 1 5 of 10 = 8. 1 2 of 10 = Colour the football stained-glass windows to match the fractions listed. Football-Themed Stained Glass Fractions visit twinkl.com
Characterization and treatment of contaminated glass
An efficient way to recycle glass waste which contains heavy metals or organics will help to reduce the damage to the environment, for example greenhouse gas emissions and the consumption of natural resources.A first step in this direction is to investigate the influence of different contaminated glass fractions used in building materials on ...
Year 3 Stained Glass Fractions Differentiated Worksheets
Use this set of differentiated worksheets for children to practise representing fractions by shading stained glass windows of different shapes, divided into equal parts. We've got lots of other fractions resources at Twinkl. Try our Year 3 Fractions Matching Cards. The above video may be from a …
China Glass Fraction China Glass Fraction Manufacturers
A wide variety of glass fraction options are available to you, such as face lift, skin rejuvenation, and acne treatment. You can also choose from portable, stationary. As well as from ce, iso13485. And whether glass fraction is 1 year, 2 years, or 3 years. There are 4,203 glass fraction suppliers, mainly located in …
Used a glass Crossword Puzzle Clue
May 24, 2008 Add Fractions Subtract Fractions Divide Fractions Multiply Fractions Simplify Fractions Half Fractions Compare Fractions Fraction as Decimal Fraction as Percentage Decimal as Fraction Improper Fraction to Mixed Number Mixed ... If you're looking for all of the crossword answers for the clue Used a glass then you're in the right place. We ...
4 642 Top Stained Glass Fractions Teaching Resources
4,642 Top Stained Glass Fractions Teaching Resources. Year 3 Stained Glass Fractions Differentiated Worksheets. Year 3 Stained Glass Fractions Differentiated Worksheets -. 16. Year 2 Stained Glass Window Fractions Differentiated Worksheets. Year 2 Stained Glass Window Fractions …
Glass Weight Calculator Dulles Glass and Mirror
In the example, the round glass calculation will be 3.1416 x 3.75 x 3.75 equals 44.18 square feet, rounded to two places. The area of an oval glass can be calculated by thinking of the glass as a rectangle with half of a round glass on each end.
Anatomy of cage formation in a two dimensional glass
Nov 11, 2020 The roughness of the glass substrate on a length scale of micrometres is on the scale of nanometres, whereas on the scale of a few hundred micrometres it is at most a small fraction …
Evelyn Gottschall Baker GlassFractions Studio Home
Evelyn Gottschall Baker / GlassFractions Studio, Buena Vista, Colorado. 1,015 likes 423 talking about this. Resident artist Evelyn Gottschall Baker creates unique kiln-formed and stained glass art.
LESSON 18 Compar ractions .NET Framework
• Pour any amount of liquid into the fourth glass. Compare the fourth glass to the full glass and the empty glass to determine if the amount of liquid represents a fraction that is closer to 0 or to 1. • Then determine if the amount of liquid in the fourth glass represents a fraction that is …
PDF Adhesion between thermoplastic elastomers and
glass fiber fraction, that is, a reduction in adhesion as more fibers are present. at the interface, does not seem to be a major effect, since few fibers are in.
276 Top Stained Glass Fractions Teaching Resources
276 Top Stained Glass Fractions Teaching Resources. Click for $5.00 all-access! What Is a Fraction Activity. What Is a Fraction Activity -. 3. Equivalent Fractions Activity. Equivalent Fractions Activity -. 3. Comparing Fractions Worksheet.
UKS2 Football Themed Stained Glass Fractions Maths
A set of differentiated worksheets that use a football net, stained-glass window for children to consolidate and master their understanding of fractions of shapes and equivalents. Children can start using shapes that are divided into rectangles and eventually progress onto shapes with missing lines! You might also find useful our collection of fraction games. Included are a range of fun ...
Year 3 Stained Glass Fractions Worksheets Australia
These Year 3 Stained Glass Fractions Worksheets are designed for children of various levels to practise representing fractions in visual ways.This is done by shading stained glass windows of different shapes that are divided into equal parts.For example, children may be given a square divided into four parts, and asked to colour half of it red, a quarter blue and a quarter yellow.As well as enforcing key fractions knowledge, these fractions …


KPC Day Camp: STEM WEEK!
Mon Jul 24, 9:00 AM - Fri Jul 28, 3:00 PM
Camp & Outdoors, Girl Program
Brownie, Daisy, Junior
This day camp at Keyauwee Program Center is a MUST for all mini scientists and mathematicians. Each day brings new experiments, tests and explosions to learn about! Explore STEM in nature. Spend time in the Nature Center getting to know all things native to Keyauwee. Experience classic camp activities such as boating, swimming, archery, crafts and more.
You will need to send your camper with a packed lunch.
- Daisy: Math in Nature 1: Shapes in Nature
- Brownie: Math in Nature 1: Shapes in Nature
- Junior: Math in Nature 1: Shapes in Nature


In mathematics, a Bianchi group is a group of the form
where d is a positive square-free integer. Here, PSL denotes the projective special linear group and Od is the ring of integers of the imaginary quadratic field Q(√−d).
The groups were first studied by Bianchi (1892) as a natural class of discrete subgroups of PSL2(C), now termed Kleinian groups.
As a subgroup of PSL2(C), a Bianchi group acts as orientation-preserving isometries of 3-dimensional hyperbolic space H3. The quotient space Md = PSL2(Od) \ H3 is a non-compact, hyperbolic 3-fold with finite volume. An exact formula for the volume, in terms of the Dedekind zeta function of the base field Q(√−d), was computed by Humbert. The set of cusps of Md is in bijection with the class group of Q(√−d). It is well-known that any non-cocompact arithmetic Kleinian group is weakly commensurable with a Bianchi group.
- ^ Maclachlan & Reid (2003) p.58
- Bianchi, Luigi (1892), "Sui gruppi di sostituzioni lineari con coefficienti appartenenti a corpi quadratici immaginarî", Mathematische Annalen (Springer Berlin / Heidelberg) 40: 332–412, doi:10.1007/BF01443558, ISSN 0025-5831
- Elstrodt, Juergen; Grunewald, Fritz; Mennicke, Jens (1998). Groups Acting On Hyperbolic Spaces. Springer Monographs in Mathematics. Springer. ISBN 3-540-62745-6.
- Fine, Benjamin (1989), Algebraic theory of the Bianchi groups, Monographs and Textbooks in Pure and Applied Mathematics 129, New York: Marcel Dekker Inc., ISBN 978-0-8247-8192-7, MR 1010229
- Fine, B. (2001), "Bianchi group", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4
- Maclachlan, Colin; Reid, Alan W. (2003). The Arithmetic of Hyperbolic 3-Manifolds. Graduate Texts in Mathematics 219. Springer-Verlag. ISBN 0-387-98386-4. Zbl 1025.57001.
Times of Malta
Sun, 08 Dec 2013 23:52:30 -0800
... BC Hamburg from Sfax to Misurata (all Thomas Smith Shipping Ltd), the MV Eurocargo Malta from Genoa to Livorno, the MV Euroferry Malta from Salerno to Salerno (both Sullivan Maritime) and the Primavera from Valencia to Livorno (Bianchi Group) today.
Thu, 28 Nov 2013 00:37:17 -0800
The other partners in the consortium are Vienna International Airport with 53.24%, and the Bianchi Group, with 10.63%. In August, MaltaToday reported that the Canadian company could pull out of MIA after the company made a surprise disclosure of a ...
Mon, 25 Nov 2013 06:51:24 -0800
The Canadian engineers own 36.13% of the private, 40% shareholding of MIA that is owned by the Malta Mediterranean Link consortium: the other partners are Vienna International Airport with 53.24%, and the Bianchi Group, with 10.63%. The company ...
ADV Express (Abbonamento)
ADV Express (Abbonamento)
Fri, 06 Dec 2013 09:15:00 -0800
Alessia Bianchi Group conclude l'anno con l'acquisizione di un nuovo importante cliente: Value Collection, società specializzata nella compravendita di orologi e oggetti da collezione. L'agenzia comasca avrà il compito di gestire l'ufficio stampa ...
Oops, we seem to be having trouble contacting Twitter
You can talk about Bianchi group with people all over the world in our discussions.


How to calculate precipitation rate
There are two methods to calculate the rate at which sprinklers apply water, or the precipitation rate. The first uses empirical field measurement. The second makes use of published data from sprinkler performance charts
The Measuring Can Method
This is as simple as measuring rainfall. Take a rain gauge, or non tapered cup or can, set it within the area to be watered by the zone being tested. Run the system for 5, 10, or 15 minutes. Measure the amount of water gathered, the rain gauge will have a reading that will indicate the amount of rainfall gathered, the cup or can be measured with a ruler. Usually, rain gauges measure in tenths of inches, rulers measure eighths, quarters, halves, and otherwise.
Let’s say you have gathered a tenth of an inch in 10 minutes of watering, therefore, in order to apply one inch of water, you would have to apply water in that area for a total of 100 minutes. To apply one and a half inches of water, which is 15 tenths of water, you would have to apply water in that area for a total of 150 minutes.
Measure each zone, try different areas within the zone to be sure water is being evenly distributed. You can run the zone for 5 minutes to speed up the process, but longer run times can give a more accurate result.
Using the Precipitation Rate Formula
In this example, we are using what is called the Total Area Method. This calculation is best suited for determining the average precipitation rate for a system, or a portion of a system, that uses sprinklers with differing arcs, flow rates, and spacings.
The formula for the Total Area Method is:
Pr = 96.25 x Total GPM
where: Pr is precipitation rate in inches per hour.
96.25 is a constant that converts gallons per minute to inches
per hour. It is derived from 60 min/hr divided by 7.48
gallons per cu.ft. times 12 inches per foot.
Total GPM is the cumulative flow from all sprinklers in the specified area, in gallons per minute. (from sprinkler charts)
Total Area is the area irrigated, in square feet.
(Note: This information is from the Precipitation Rates and Sprinkler Irrigation - Student Manual, (3/6/96) produced by Hunter Industries, San Marcos, CA.)
An area, with a total footage of 1000 square feet, is being watered using a total of 10 gallons per minute. Using this method, we can determine the precipitation rate as follows:
Pr = 96.25 x Total GPM
= 96.25 x 10
= .96 in./hr.


Mrs. Bockius's Class
Follow me on my Twitter Account MBockius
Alder Creek Website
Math Period 2 Homework
Math Period 4 Homework
CPM Math homework help
CPM Parent Guide
Science Period 5 Homework
Science Period 6 Homework
6th grade websites
Emotional and Social Development
Introduction to multiplying decimals
: Multiplying decimals can be confusing because there's always the question as to where the decimals goes in the answer. We're about to show you so you'll never have to question it again!
Dividing a decimal by a power of 10
: When we were multiplying, we moved the decimal to the right for each power of ten. Guess what? When dividing, we move the decimal to the left for each power of ten.
Powers of 10: patterns
: We're going to observe a pattern that develops when we compare the number of zeros in tens with the number of zeros in the answer. What do you think will be the pattern?
Create your own unique website with customizable templates.


Welcome to the 2019-2020 School Year!
Mokler's a great place to be!
Congratulations to the February Student of the Month Recipients!
Trimester 1 Awards Assembly
Congratulations to the students who received an award!
K-1 Mokler Pilots are learning from community workers.
Trimester 1 Student of the Month Carnival!
Trimester 1 Attendance H.E.R.O.'s got to Pie the Principal!
Here Everyday Ready and On time!
Math Game Nights!
Parents and students had fun while practicing math concepts.


Keno is a casino game that has a resemblance to a lottery where you must choose numbers. If your numbers are drawn during the gameplay, the higher the probability of getting wins. This casino game has simple rules however winning is not that easy to come by. All its players must rely on luck to successfully be a winner in this casino game. There are people who lose while playing a keno game, while some do win. It all depends on your fate if you are going to win this time around. However, if not, there are still some great tips that you can use to improve your overall winning chances. In this short guide, we are going to expose five of them so you can at any time.
Therefore, if you are now curious about what they are, we advise you to keep on reading until the end.
Top 5 Winning Tips That Keno Players Can Use
Here are the best five tips that you can depend on to increase the probability of winning.
1. Choose A Keno Variant with High RTP
Many of you do not know that there are keno variants that are available to play in casinos. In fact, keno games are available in both online and land-based casinos. However, in terms of payouts, these two types are not the same. This means it is better that you are fully aware of which keno version will provide you with the best profits if you win this casino game. In that, you would have a better chance to win great prizes. Never settle for less, if you can choose a keno game variant that would give you better wins.
2. Discover Keno Numbers with High Winning Probabilities
It is now the right time to become more familiar with how keno numbers ranging from 1 to 20 perform in terms of winning probabilities. There are online references that you can look up to have a better understanding of what probabilities of numbers 1 to 20. Looking through the odds of these numbers, you will absolutely know which number can give a better edge on keno. The higher the winning odds, the better the numbers would occur or be drawn in the keno games. Therefore, it is wiser that you become aware of the winning odds of these numbers or the likelihood of them occurring.
3. Keep your Number Choices Between Four and Eight Only
This number range just shows that it is the ideal strategy to play keno games. Your odds of winning will be changed as more or less the numbers you choose. In short, the likelihood of your numbers being drawn in keno will decrease dramatically. Therefore, it is better to keep your number choices in the range of four up to eight only. This keno strategy is the perfect way to balance everything out in terms of number choices. Do not worry, if you play keno, you will understand what we are pointing out here in this game tip.
4. Do Not Change Your Keno Numbers A Lot
We include this tip in playing the keno game because changing your chosen numbers is not practical. Given that keno is a casino game that depends on luck and its results are purely random. In case you change your keno numbers in every play, there is no advantage in doing so. If you do this, you will be at a disadvantage once you choose other numbers when your best numbers were drawn. As a result, you only lose by changing your ultimate numbers in Keno a lot. It is preferable that you stick with your best numbers until the time has come that they are drawn and give you wins.
5. Use The Hot or Cold Numbers Strategy
In keno games, there are methods for choosing numbers and one of them is hot or cold numbers. If we focus on hot numbers, these are numbers that have been drawn most of the time in the previous games. The idea behind the hot numbers is they have a higher chance of occurring again. When we say cold numbers, these numbers happen not to be drawn for the previous games. The idea behind the cold numbers is that in time will occur sooner than expected. These are the two types of numbers that keno players rely on when choosing numbers.
Keno is a fascinating casino game and many players do enjoy the unpredictability it gives. Since no one knows if your keno numbers will come up or not during the draw. Despite the unpredictability it has, we cannot deny the charm it delivers to its players. Still, it is not easy to win this casino game. Hopefully, with all the tips here, you get some insights on how to play well the keno game in the casinos.


You might be surprised to know that major use of Excel spreadsheet is only done for summation of large data ranging across all levels of Organizations, Business and Personal Lists.
Adding up of cells can be an important part of data analysis where in your cell contains some sales figure or expenditure or credit/debit bills etc. So, let us start learning summation process of columns in the simplest way.
Assume you have a data record of Students Marksheet as shown below in image
Column A shows the Subject Names and Columns B,C,D,E,F,G shows students marks respectively.
Now to sum up each student marks we will add up the numbers present in respective Columns of student. We will use the below formula in Cell B11 for adding of numbers in Column B
Similarly, for adding the numbers in Column C we will use below formula in Cell C11
Refer below image showing formula usage in Cell B11
Subsequently similar formula can be written for other columns summation where in Column letter will change and Cell range would be from 4:10
Excel takes care of any modification in the cell ranges defined, in this case if there will be any change in students’ marks then the formula would instantly reflect the new total. So, you do not need to type in the formula again and again.
So wasn’t it an easier method to add up the numbers in a column?
Alternative to above method of writing Cell ranges to add up you can also click and define them by below method.
Select the Cell B11 put an equal to symbol and now click on cell C4 then press the + symbol now again click on Cell C5 then + symbol till you reach the end of range.
But you might be wondering what if I have multiple records do I need to type in the formula again and again? Well the answer is No. Excel itself is a smart software having many in built features. You only need to write down the formula once let’s say for Cell B11 only and then hold the bottom right corner of the cell and drag towards Cells – C11, D11, E11, F11, G11.
Refer image showing applied formula in Cell C11
This will copy the summation formula you typed to these cells and auto arrange the reference cells. Which means that Summation of cell C11 will add numbers from the range C4:C10 only irrespective of the fact that the formula was copied from B11 cell defining range of B4:B10.
Isn’t it a smart feature!
Now let’s go to next level – What if I have thousands or Lac’s of records for addition, do I need to type in the addition formula for first column comprising of thousand entries?
Well the Answer is again NO. For handling, large volumes of data addition excel has a built-in function called as SUM. This function can be called by selecting the cell and put equal to symbol followed by SUM with brackets for defining ranges of data to be added.
Now let us use this formula in our previous case. We will select cell B11 and put equal to symbol along with function SUM defining range from B4:B10
On pressing enter Excel will add up the numbers in column B. Similarly, we can use this function for all other Cell ranges to add up the student’s marks. Alternatively, you can also drag the formula to all relevant cells for auto summation.
Another interesting feature of addition function in Excel is that you can define any range while writing the formula or using the SUM function. Refer below image for example.
Cells ranges have been defined from each of the columns and the Excel adds up each cell value as desired.
Excel gives another smart feature of Auto Sum for those who find typing formula cumbersome or difficult.
To use the Auto Sum feature, select the cell you wish to calculate the sum in and then click on Auto Sum button present under Home Toolbar (highlighted). Function of SUM will be automatically applied to the given cell for entire table range.
If you want to select specific cells in a column for addition, then select those cells and then press Auto Sum button.
If you want to apply the Auto Sum function to complete numeric data, let’s say in our case we need to calculate the Total Marks of all students at once then select Cell ranges from B4 to G10 and press the Auto Sum button.
All columns will display the total marks below the selected range cells i.e. in Cell Range B10:G10
Hope you understand this feature now and do not forget to try out yourself for sample cases as described in the post.
Please comment for any queries you have or any valuable suggestions.


Dr. Arman DC. Santos (left) and Assoc. Prof. Rainilyn Leonardo-Duque (right) tackled the nature and misconceptions of dyscalculia in the 28th episode of OPEN Talk.
OPEN Talk tackled dyscalculia, a form of learning disorder, in the episode titled “Dyscalculia? Ano yon?” on 16 November 2022 from 4:00 pm to 5:00 pm via the UPOU Networks website and Facebook page.
The resource person for this episode was Dr. Arman DC. Santos, a PhD in Education graduate from the Faculty of Education (FEd) of the University of the Philippines Open University (UPOU). He is currently an Associate Professor from the College of Education of the Polytechnic University of the Philippines (PUP), Sta Mesa Campus, and a Campus Director of PUP-Pulilan Campus. The moderator of the discussion was Assoc. Prof. Rainilyn Leonardo-Duque, a PhD in Education graduating student also from FEd, UPOU. She is currently the Head of the Mathematics Department of the College of Science of Bulacan State University.
Dr. Santos clarified that dyscalculia is a specific learning disorder with impairments in the academic domain of mathematics. He identified the four diagnostic criteria of the disorder, namely, the difficulty in using the academic skills in mathematics is persistent, impairments and deficits in mathematics are quantifiable, challenges in mathematics should begin during the school-aged years, and difficulty in mathematics is not accounted to intellectual disabilities.
The resource person provided some common signs and symptoms of the disability, which are important in identifying if a person, especially a child, has dyscalculia — difficulty in counting during the earlier years; difficulty in performing basic arithmetic operations, such as needing to use the fingers in performing basic addition; avoidance or fear of numbers; anxiety towards the mathematics subject; and difficulty in dealing with the sense of time and giving directions.
He mentioned that there is no definite answer yet as to the cause of dyscalculia, but some studies show that it is innate and that the person possesses the disorder since childhood. “Since the learning condition starts from childhood, it can be carried through adulthood, thereby affecting the person’s life, especially that mathematics is everywhere and part of our daily living,” he said.
The resource person clarified some misconceptions involving dyscalculia. “We need to remove the mentality that a person with dyscalculia has low IQ; it’s possible for a child to have normal IQ but has a very low performance in mathematics,” he said. He claimed that the difficulties experienced by people who have dyscalculia should not be accounted to the intellectual disabilities because other factors could cause such limitations, such as eyesight problems. He explained that having difficulties in mathematics does not necessarily mean having dyscalculia because other factors can cause an individual to have challenges with mathematics.
Dr. Santos shared that dyscalculia can be managed with the right intervention, such as using assistive devices, adopting technological resources, and providing individualized instruction. He believed that mathematics educators and psychologists can collaborate to design instruments that can detect early signs, symptoms, and tendencies of dyscalculia. He recommended consulting with a neurodevelopmental professional, pediatrician, and child psychologist for checkup and diagnosis on the learning disability.
The 28th episode of OPEN Talk is a collaborative undertaking between Multimedia Center and UPOU Faculty of Education’s EDUKussion. It can be viewed on UPOU Networks website and UPOU Networks – Multimedia Center Facebook page.


Are Universes Thicker Than Blackberries?: Discourses on Godel, Magic Hexagrams, Little Red Riding Hood, and Other Mathematical and Pseudoscientific Topics
"Something about Gardner's prose—straight-ahead, factual, free of literary pretension—is deliciously addictive."—Michael Dirda, Washington Post Book World
“A profusely illustrated, bemusingly unorthodox introduction to math.”—Booklist
"Dennis Shasha is the absolute best puzzle writer alive."—David Gelernter, professor of computer science, Yale University
A gently guided, profusely illustrated Grand Tour of the world of mathematics.
A New York Times bestseller
"Brilliant, funny…the best math teacher you never had." —San Francisco Chronicle


Tips for circuit simulation
Circuit simulation consists of two parts. One is a Jacobian matrix solver of the transistor network and the other is a compact transistor model. Circuit simulators solve the node potential distribution within a circuit by the Newton iteration method. Major effort has been devoted to develop stable and fast matrix solvers for different purposes. Newly developed transistor models are based on the potential distribution within transistors, which is different from the conventional description as a function of applied bias values. The new modeling method enables the describing of complicated higher-order phenomena in a simple way.
- 1 HiSIM Research Center, Hiroshima University


Extra Credit will be posted here.
Attend Saturday Scholars for help with math
and receive 5 points extra credit.
- must show me what you worked on and a signature from a math teacher or math tutor
LAST EXTRA CREDIT: Page 529: all
DUE before you start the final
Extra Credit assignment for Chapter 12: Page 908:1-6
Chapter 7 Extra Credit (5 points):
Page 520: 1-5 Must show work and have all correct answers for full credit
Due anytime before the chapter 7 test which is schedule for 3/4 &3/5


Online Brain Games | Benefits
Online Brain Games: When we think about or discuss the details and benefits of online mathematical games, we immediately assume that they are meant for growing children in assisting their brain power development.
The truth is many of the mathematical games could be used by adults also for enhancing their brain capabilities, improve memory retention and recollection, and increase processing speed in any kind of situation.
Mathematical games presented by many websites as online brain games range from simple mathematical problems to deep and complicated ones, some of them remaining unsolved even now. Mathematical games could be categorized as basic number games, plain and complex geometrical puzzles, combinational problems, and network-based brain games.
It is thought that mathematical issues have existed since the beginning of human habitation of the planet. One mathematical problem, known as papyrus, was acknowledged to have been created circa 1850 BC and to be a part of the ancient Egyptian civilisation. The conundrum is “There are seven homes there with seven cats living in them. Seven mice were killed by each cat. Each mouse in these homes consumes seven grain ears in total. Wheat equivalent to seven hekats might have been generated from each individual ear of grain. What would the sum of all these things be?”
Similar to this, the ancient Greeks also offered a number of traditional mathematical conundrums, many of which were created by the renowned mathematician and scientist Archimedes. Such mathematical mind tricks can be found in the book “The Sandreckoner,” These mathematical brain teasers can be found in the book “The Sandreckoner,” with the “Cattle Problem” being the most well-known. There is a number with an incredible 206545 digits that solves the issue. Fibonacci was a famous mathematician who lived in the past and whose book “Liber Abaci” was published in 1202; His ideas are still used today by traders on the stock and currency markets as well as in a variety of online brainteasers.
Online Brain Games
The online brain games based on mathematical puzzles offered by nearly all the websites in this field can be categorized as counter and board games, card games, domino games, coin games, pencil and paper games, and scissors and paper games. Board games involve pieces or counters that are placed on the board, moved across the board, and removed from the board. The most basic board games known to everybody are checkers and backgammon. The modern online board games include Scrabble, Monopoly, and Risk. Such online board and counter games would be highly beneficial both for children, as well as for adults in improving brain power.
The online numbers games and geometric puzzles are highly interesting exercises. We might think what could be the great thing about additions, subtractions, multiplications, divisions, and basic geometry. That is underestimating the power of mathematics in improving our brain power. For example, many of us would not be able to multiply beyond 12×12 or 16×16. If you could multiply a 3-digit number by another 3-digit number in your brain and present the answer, you could guess how much brain power you possess. This is easily possible with practice. Similarly, familiarizing yourself with geometrical and trignometrical patterns and solving puzzles involving them improve your brain power tremendously. Such puzzles are available in large numbers in online brain games.


My current topic of rant is "reform" math which, no matter what I read about it, convinces me that we're currently raising the worst-educated generation of kids in US history.
See this CBS article or even, this American Thinker" article for info. (The political 'tude in the second one is absurd, of course. There is no 'Progressive' or radical left-wing plot to keep kids from learning.) I can't think highly of any system of teaching math that doesn't teach a kid what 10 - 7 =.
Maybe it's rote to memorize multiplication tables, but it's not terminally boring, and no one ever died of having to learn long division.
Also, calculators in second grade? I guess a child is never too young to learn they don't need to use their own brain for anything, are they?*
Okay--I won't go on. I'll just say that I'm glad I'm childless and don't have to worry about any offspring of mine being educated into stupidity.
Ever since I heard about this "reform math, I've been thinking about The Feeling of Power, a thought-provoking short story by Isaac Asimov (found a link here) that suggests we're not smart enough to use math wisely anyhow.


Pre invalidating space attitudes toward dating violence scales
Also, the set of vectors are independent because splitting $\bf x$ will always produce non-zero vectors, hence $a_1 a_2 ... I suggest you start here if you are interested in how this is done in a computationally efficient and of course provably correct way.
Perhaps the VDI error is just a symptom of a repairable disk corruption. An invalid pre-header implies corruption of the file, or means its not a VDI at all.
We know: 1) The null space of $A$ consists of all vectors of the form $\bf x $ above. 3) We need three independent vectors for our basis for the null space. 2) If you split up the general solution to $A=$ as done above, then these vectors will be independent (and span of course since you'll have $r$ of them).
So what we can do is take $\bf x$ and split it up as follows: $$\eqalign $$ Each of the column vectors above are in the null space of $A$. : Thank you for explaining the procedure of finding the basis of the null space.
That the null space has dimension 3 (and thus the solution set to $A=$ has three free variables) could have also been obtained by knowing that the dimension of the column space is 2 from the rank-nullity theorem. We may assign any value to their corresponding variable.
So, we set $x_2=a$, $x_4=b$, and $x_5=c$, where $a$, $b$, and $c$ are arbitrary.
Search for pre invalidating space:
I'm surprised that a power cut could corrupt a static part of the file...


If the era of quantum computing began 3 years ago, its rising sun may have been hiding behind a cloud. In 2019, Google researchers claimed they passed a milestone known as quantum supremacy when their Sycamore quantum computer performed an abstruse computation in 200 seconds that would have blocked a supercomputer for 10,000 years. Now, scientists in China have done the computation in hours with regular processors. A supercomputer, they say, could beat Sycamore outright.
“I think they’re right that if they had access to a big enough supercomputer, they could have simulated the … task in seconds,” says Scott Aaronson, a computer scientist at the University of Texas, Austin. The advance takes some of the luster off Google’s claims, says Greg Kuperberg, a mathematician at the University of California, Davis. “Getting 300 feet from the summit is less exciting than reaching the summit.”
However, the promise of quantum computing remains unaltered, say Kuperberg and others. And Sergio Boixo, lead scientist at Google Quantum AI, said in an email that the Google team knew its lead might not last long. “In our 2019 article, we stated that classical algorithms would be improved,” he said. But “we don’t think this classical approach will keep pace with quantum circuits in 2022 and beyond.”
The “problem” solved by Sycamore was designed to be difficult for a conventional computer but as simple as possible for a quantum computer, which manipulates qubits that can be set to 0, 1 or, thanks to quantum mechanics, any combination of 0 and 1 at the same time. Together, Sycamore’s 53 qubits, tiny resonant electrical circuits made of superconducting metal, can encode any number from 0 to 253 (about 9 quadrillion) or even all at once.
Starting with all qubits set to 0, the Google researchers applied to individual qubits and coupled a random but fixed set of logical operations, or gates, over 20 cycles, then read the qubits. Put simply, the quantum waves representing all possible outputs have moved between the qubits and the gates have created interference that strengthened some outputs and canceled others. So some should have appeared more likely than others. Over the course of millions of trials, a spiky output pattern has emerged.
Google researchers said simulating those interference effects would overwhelm even Summit, a supercomputer from Oak Ridge National Laboratory, which has 9,216 central processing units and 27,648 faster graphics processing units (GPUs). Researchers at IBM, which developed Summit, quickly retorted that if they harnessed every bit of the hard drive available to the computer, it could handle the computation in a matter of days. Now, Pan Zhang, a statistical physicist at the Institute of Theoretical Physics at the Chinese Academy of Sciences, and colleagues have shown how to beat Sycamore in a press article at Physical Review Letters.
After others, Zhang and colleagues reformulated the problem as a 3D mathematical array called a tensor network. It consisted of 20 layers, one for each cycle of gates, with each layer comprising 53 points, one for each qubit. The lines connected the points to represent the gates, with each gate encoded in a tensor, a 2D or 4D grid of complex numbers. The execution of the simulation was therefore essentially reduced to multiplying all the tensors. “The advantage of the tensor network method is that we can use many GPUs to perform the computations in parallel,” says Zhang.
Zhang and colleagues also relied on a key insight: Sycamore’s calculation was far from accurate, so theirs didn’t need to be either. Sycamore calculated the distribution of outputs with an estimated fidelity of 0.2%, just enough to distinguish fingerprint-like edginess from noise in circuitry. So Zhang’s team traded accuracy for speed by cutting some lines in his network and eliminating the corresponding gates. Losing just eight lines made the computation 256 times faster while maintaining 0.37% fidelity.
The researchers calculated the output model for 1 million of the 9 quadrillion possible number strings, relying on their own innovation to obtain a truly random and representative set. The computation took 15 hours on 512 GPUs and produced edgy output. “It’s fair to say that Google’s experiment was simulated on a conventional computer,” says Dominik Hangleiter, a quantum computer scientist at the University of Maryland, College Park. On a supercomputer, the calculation would take a few dozen seconds, says Zhang, 10 billion times faster than the Google team estimated.
The advance underscores the pitfalls of running a quantum computer against a conventional one, the researchers say. “There is an urgent need for better quantum supremacy experiments,” says Aaronson. Zhang suggests a more practical approach: “We should find some real-world applications to demonstrate the quantum advantage.”
However, Google’s demonstration wasn’t just hype, the researchers say. Sycamore required far fewer operations and less power than a supercomputer, notes Zhang. And if Sycamore had slightly higher fidelity, he says, the team simulation of him couldn’t keep up. As Hangleiter says, “Google’s experiment did what it was supposed to do, start this race.”


Our research, at the edge of statistical physics, applied mathematics and computer science, relies on theoretical and computational network science to cover a wide spectrum of interests, with applications to social and socio-technical systems, computational epidemiology, smart urban systems, systems biology, systems neuroscience, systems medicine.
Applications from talented and motivated undergraduate, graduate, and postdoctoral scholars, as well as visiting researchers, are welcome at any time: please, include a cover letter and CV, in plain English, in your inquiry
Special agreements between FBK and University of Trento
provide fast channels to internships and formative/thesis stages for students.
we will have 4 openings for fully funded PhD scholarships in the areas of Data Science and Physics. Date for application is likely to be between June and August. Please get in touch with us before the end of June
if you are interested:
- Modeling geometry of complex networks
- Network models for digital humanities: A multilayer approach
- Network science of human mobility: Modelling and prediction
- Statistical Physics of complex multilayer networks


Problem C3.3. Transitional Flow over a SD7003 Wing
This test case is aimed at characterizing the accuracy and performance of high-order solvers for the prediction of complex unsteady transitional flows over a wing section under low Reynolds number conditions. Of particular interest is the evaluation of so-called Implicit Large-Eddy Simulation (or ILES) approaches for handling, in a seamless fashion, the mixed laminar, transitional and turbulent flow regions encountered in these low-Re applications. The unsteady flow is characterized by laminar separation, the formation of a transitional shear layer followed by turbulent reattachment. In a time-averaged sense, a laminar separation bubble (LSB) is formed over the airfoil.
The governing equations are the full 3D compressible Navier-Stokes equations with a constant ratio of specific heats of 1.4 and Prandtl number of 0.72. Solutions obtained employing the fully incompressible Navier-Stokes equations are also desired. Given the low value of Reynolds number being considered, emphasis is placed on ILES approaches; however, methodologies which incorporate dynamic sub-grid-scale (SGS) models are also of interest.
The wing section is based on the Selig SD7003 airfoil profile shown in Fig. 1. This airfoil which was originally designed for low-Reynolds number operation (Rec ~105), has a maximum thickness of 8.5% and a maximum camber of 1.45% at x/c = 0.35. The original sharp trailing edge has been rounded with a very small circular arc of radius r/c ~ 0.0004 in order to facilitate the use on an O-mesh topology. The precise profile geometry will be provided to all participants. The flow is considered to be homogeneous in the spanwise direction with periodic boundary conditions being imposed over a width s/c = 0.2.
Mach number M=0.1
Reynolds number based on wing chord, Rec = 60,000.
Angle of attack:
Case 1. a = 4 deg., which corresponds to a relatively long LSB
Case 2. a = 8 deg., which corresponds to a shorter LSB
Far field boundary: subsonic inflow and outflow. This boundary should be located very far from the wing at a distance of ~ 100 chords
Airfoil surface: no slip isothermal wall conditions with Twall/Tinf = 1.002
1. Time-averaged and spanwise-averaged flow variables and turbulent statics need to be provided in the vicinity of the airfoil. A given length of time will be specified to gather these statistics following a certain period of time to guarantee evacuation of transient effects
2. Comparison of mean u-velocity and Reynolds stresses (u’u’, u’v’, v’v’) at prescribed chordwise stations
3. Mean aerodynamic coefficients (Cl, Cd and Cm)
4. Mean surface Cp
5. Frequency spectra for velocity a selected points
6. Computational requirements


The modern game of sudoku was developed in the end of the 1970's and garnered a large following in Japan during the 80's where it got it's name Sudoku, meaning single number. Sudoku became popular world wide somewhere in 2005. The game of Sudoku is a number puzzle that, in order to solve, must have all the column, rows, and each of the nine 3x3 boxes filled with the numbers 1 through 9.
Not the first Sudoku application to make it to the iPhone, but the Sudoku Guru is by far the best I have seen yet. Sudoku Guru is very simple to follow and you can get playing right away. It offers you 5 different levels of playing starting with the easiest being apprentice, then moving on to intern, then practitioner, then master, and finally, guru. Something that I think is great is something that you don't usually get to do, which is build your own custom game. What I mean by this is Sudoku Guru supplies you with an empty board and allows you to create your own sudoku puzzle and challenge your friends.
Right off the bat you can start solving puzzles. And, with the ability to save a game, Sudoku Guru allows you to start a puzzle during your morning commute on the train and finish it later in the day. Do you want to see how your doing at Sudoku and see how you are progressing? Sudoku Guru supplies you with a statistics page that gives you your best time ever as well as the time it took you to complete your last puzzle. It also supplies you with a help page to explain to you, in detail, everything about the application.
There are two tiny, little things that I didn't like. One would be that they supply you with penciled in numbers that show what numbers are available for use in each box. Personally, I found them very distracting, but it is easily shut off in the options section. Also they have a background noise that I believe was meant to be relaxing, but it's just another distraction. Again, it is easily shut off in the options menu.
With that said, Sudoku Guru still first place on my list of best Sudoku apps.


Deepthi Publications Maths 1a Pdf Download |VERIFIED| 🟤
Deepthi Publications Maths 1a Pdf Download ❤❤❤ https://urloso.com/2sEpSS
Deepthi Publications Maths 1a Pdf Download
Go to the home page for the title you want to download.When you click on a title you will be taken to the MIT OpenCourseWare site where you can download.Download information.
Deepthi Publications Maths 1a (Study) pdf – Join the discussion on Chemistry to check your answer. Download Deepthi eamcet chemistry publications. DOI, ISSN or AARN web.
Deepthi Publications Maths 1a pdf Chisels wit.
Download.. Thanks and regards [PDF] Intermediate 1st Year Maths 1a. Log in or. Intermediate 1st Year Maths 1a Foreword Cover Page 40. 2nd Year.
Section Name: Deepthi Publications Maths 1a pdf Chisels wit Section Level: What are Section Level: What are 1A(1) Intermediate Maths 1 PDF.
Academy. Deepthi Publications Maths 1a Pdf Download.
Join the discussion and tmalescubed. Samiran told me about Deepthi Publications Maths 1a Pdf Download this online speed, some pages were also good However, i tried to look for pdf in many links with no result.
. [PDF] Intermediate 1st Year Maths 1a -. deepthi publications maths 1a pdf download. Download images.
Etextbook for juniors. Download Real PDF file :
PDF; MS-Word. Shaikhul Islam Arif. e text books 2018.pdf Df e text books 2019. -. e text books 2018.zip Deepthi Publications Maths 1a.
.. and all i have to do is right click or double click on the file.
Deepthi Publications Maths 1a Pdf Download 10th June, 2019.
Meet Deepthi who is in St. Augustine High School, Kannur, Kerala


|You are not logged in. (log in or register)|
Big Wheel Acceleration = ( 4 x Pi Squared x R ) / ( Time Squared )
Users Who Selected 'Big Wheel Acceleration = ( 4 x Pi Squared x R ) / ( Time Squared )' by JonathanJ as a Favorite Photograph (1):
DPChallenge, and website content and design, Copyright © 2001-2020 Challenging Technologies, LLC.
All digital photo copyrights belong to the photographers and may not be used without permission.
Proudly hosted by Sargasso Networks. Current Server Time: 04/03/2020 08:44:18 PM EDT.


An answer to the age old question of “why am I learning this at school, I’ll never use it in real life”:
[…] doing math, reading, and writing actually develops the connections between the neurons in the human brain, re-wiring it to complete the tasks you practice in those areas. The layman result is it literally makes you smarter. Studying math that you will never technically use makes your brain better at performing discrete and logic-based tasks. So, the information actually matters very little, but the practice is essential. If a child focused on science and math in school, they will be better at tasks like construction, where you need to focus on measurement and intuitive design and workflow. Reading practice helps the brain fire faster and to more quickly comprehend a work of art as an adult.


To all those who voted, I thank you for voting.
What is 0 divided by o?
- Undefined – 38%
- Any real number – 31%
- Zero – 18%
- Infinity – 9%
- One – 4%
So most of you thought it was undefined.
I was quite confused though. Dean and I bought thought it was any real number. Because you can divide any real number with 0, and you’ll get 0. So 0 divided by 0 is any real number. No?


Matrices are numbers, expressions, symbols arranged in columns and rows a matrix has ‘m’ number of rows and ‘n’ number of columns some of the main. 25 applications of matrix operations 25 applications of matrix operations 87 linear algebra applied because of the heavy use of the internet to conduct business. Related searches for use of matrices in business applications of matrices to business and economics - scribd wwwscribdcom/doc/19613606. How to apply bcg matrix to your company how to apply bcg matrix to your business “to be successful application guide 66 pages.
This book on business mathematics has been written in conformity with the revised matrix theory has its applications in operations business management. Application of matrices to business and application of matrices to business and economics pdf economics pdf application of matrices to business and economics pdf. Assignment point - solution for best matrix algebra linear in the context of solving practical business problems the practical applications typically. The first part of this book presents the relevant aspects of the theory of matrix algebra for applications in many applications of matrix 5 business days faq.
Linear algebra and its applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear. Mathematics assignment help, matrices, what is the business application of matrices.
Mathematicians and scientists have found many applications of matrices example 5product of a row matrix and a column matrix matched problem 5 refer to example 5. Original articles the application of matrix organization concepts in managing pacification and rural development. Let’s consider some practical uses of matrix mathematics in a variety of settings, along with a brief introduction to matrices applications of matrix mathematics. Example 1 the governing board for a fortune 500 company is expected to collect votes of managers within the company on a potential new policy change in the way it manages clients.
Applications of matrices to business and economicsscribd upload a document search books, presentations, business, academicsexplore documents b. What are the applications of matrices in real that is more widely used for real world applications than matrices and business developer.
128 chapter 3 determinants 34 applications of determinants find the adjoint of a matrix and use it to find the inverse of the matrix use cramer’s rule to solve a. Business applications, such as market shops, use matrix multiplication to calculate yearly, monthly, or even daily profits based on price and quantity matrices. Business application of matrices section 16 applications of functions in business and economics - duration: matrix(application in real life. Math 023 - matrix algebra for business notes by erin pearse contents i systems of linear equations 2 i1 introduction to systems of linear equations 2. 3 matrix algebra and applications 31 matrix addition and scalar multiplication 32 matrix multiplication 33 matrix inversion 34 game theory 35 input-output models. Matrices find many applications in scientific fields and apply to practical real life problems as well, thus making an indispensable concept for solving many.


In Part I the problem was to find the sample size, n, given failure count, c = 0, confidence level = 1 – P(c = 0), and minimum reliability = (1 – p’). The table giving sample size, n, with failures c = 0, for certain common combinations of confidence level and minimum reliability is reproduced below.
While I would like that none of the samples fail testing, failures do happen. Does that mean testing should stop on first fail? Are the test results useless? In this part I will flip the script. I will talk about what value I can extract from test results if I encounter one or more failures in the test sample.
I start with the binomial formula as before
It gives us the likelihood, P(x = c), of finding exactly c failures in n samples for a particular population failure rate p’. (Note that 1 – P(x ≤ c) is our confidence level, and 1 – p’ = q’ is our desired reliability.)
However, knowing the likelihood of finding just c failures in n samples isn’t enough. Different samples of size n from the same population will give different counts of failures c. If I am okay with c failures in n samples, then I must be okay with less than c failures, too! Therefore, I need to know the cumulative likelihood of finding c or less failures in n samples, or P(x ≤ c). That likelihood is calculated as the sum of the individual probabilities. For example, if c = 2 samples fail, I calculate P(x ≤ 2) = P(x = 2) + P(x = 1) + P(x = 0).
For a particular failure rate p’, I can make the statement that my confidence is 1 – P(x ≤ c) that the failure rate is no greater than p’ or alternatively my reliability is no less than q’ = (1 – p’).
It is useful to build a plot of P(x ≤ c) versus p’ to understand the relationship between the two for a given sample size n and failure count c. This plot is referred to as the operating characteristic (OC) curve for a particular n and c combination.
For example, given n = 45, and c = 2, my calculations would look like:
The table below shows a few values that were calculated:
A plot of P(c ≤ 2) versus p’ looks like:
From the plot I can see that the more confidence I require, the higher the failure rate or lesser the reliability estimate will be (e.g. 90% confidence with 0.887 reliability, or 95% confidence with 0.868 reliability.) Viewed differently, the more reliability I require, the less confidence I have in my estimate (e.g. 0.95 reliability with 40% confidence level).
Which combination of confidence and reliability to use depends on the user’s needs. There is no prescription for choosing one over another.
I may have chosen a sample size of n = 45 expecting c = 0 failures for testing with the expectation of having 90% confidence at 0.95 reliability in my results. But just because I got c = 2 failures doesn’t mean the effort is for naught. I could plot the OC curve for the combination of n, and c to understand how my confidence and reliability has been affected. Maybe there is a combination that is acceptable. Of course, I would need to explain why the new confidence, and reliability levels are acceptable if I started with something else.
Once I have values for p’ and P(c ≤ 2), I can create an X-Y graph with X = p’, and Y = P(c ≤ 2).
 Burr, Irving W. Elementary Statistical Quality Control. New York, NY: Marcel Dekker, Inc. 1979. Print. ISBN 0-8247-6686-5


We want our children to be confident mathematicians, who excel in their learning. Teachers have high expectations of each and every child at SMBS and enable them to be successful in their achievements.
Our curriculum is supported through the White Rose Maths Scheme and this is used in years groups: Reception to Year 6.
The scheme uses the approaches of: all children provided challenge in their learning through the use of reasoning and problem solving, a CPA (concrete, pictorial and abstract) approach when using resources; a variety of visual representations and resources (e.g. Numicon, base 10 blocks) are used; children record in a range of ways; they are taught to use maths in a range of different contexts to ensure deeper understanding.
Throughout the school we use 1:1 and small group teaching to enhance our Maths class teaching, to enable pupils to reach the highest possible standards in Maths by addressing any individual gaps or misconceptions.
Children are given regular opportunities to apply their mathematical knowledge through problem solving, puzzles and investigations. This may be using examples such as White Rose's - Problem of the Day:
At St Mary’s, we want maths to be relevant and meaningful within the real world, build pupils’ resilience, develop their fluency, reasoning and problem solving skills, give pupils opportunities to enjoy numbers, enable them to make links between different areas of maths and to enable all pupils to achieve well.
At St Mary’s the Early Years Outcomes and National Curriculum will be predominantly taught supported by the White Rose Maths scheme to promote teaching through a mastery approach. Children will practise counting daily and will be provided with suitable opportunities for independent learning as well as explicit teaching.
Our school target is 80%+ of pupils will achieve at or above age related expectations by the end of each year.
At least 80%+ of pupils will achieve at or above age related expectations by the end of Foundation stage, Key Stage 1 and Key Stage 2.
Through lesson observations, 100% percent of teaching will be at a good standard or better.
Through work scrutinies and pupil conferencing, 90%+ percent of pupils’ recorded work will evidence good or better effort, a range of recording methods, a range of formal and informal problem solving strategies being used, regular opportunities for deepening understanding and reasoning, and good or better presentation.


Let’s start with the ice cream cone. To find the volume of the ice cream “ball” on top of the cone, we need to know the volume of a sphere.
Formula for volume of sphere
= 43 π r3
Where r is the radius of the sphere.
If the radius of the ice cream ball is 3cm,
Volume of ice cream “ball”
= 43 π r3
= 43 (3.142) (3)3
= 113.11 cm3
Volume of ice cream squashed inside cone
= 0.5 x 113.11
= 56.56 cm3
Total volume of ice cream in ice cream cone
= 113.11 + 56.56
= 169.67 cm3
To find the volume of the ice cream inside the bread, we need to find the volume of a cuboid.
Formula for volume of cuboid
= length (l) x breadth (b) x height (h)
If we measure the ice cream inside the bread, and l = 10cm, b = 5cm, h = 3.5cm.
Volume of ice cream in bread
= l x b x h
= 10 x 5 x 3.5
= 175 cm3
So in this case, the volume of the ice cream in bread is slightly more than that of the ice cream cone. If the kiasu auntie wants to get more value for money, she should get the ice cream in bread.
Try it with your own ice cream, or use the formulas to compare the volumes of your other food!


Point cost:4 skill points
Initial rating:6 or < on d20
Recomended for:All Wizards, Adventurers
This Skill is that of mathematics. A character using this skill can perform any type of mathematical tasks ranging from the simplest (i.e. 1 + 1 = 2), to the most esoteric. (i.e. Gandrinsons' uncertainty constraint principle of fluid Manna dynamics.
(No this doesn't mean anything, I just threw it up there for the heck of it.)) This skill permits a character to perform these skills in ones head with a -2 modifier, on paper or blackboard +1, or with some computational device (abacus) +1, or with both +2. When such aids are not used the amount of time required is increased by a factor of 1. With this skill a character can easily compute the maximum velocity of an object in free fall, based on it's wind resistance, and distance of the fall, and arrive at the amount of damage one would take if one fell that distance. The amount of damage calculated will be within 20% of the correct damage. In order to make such calculations, the character must spend a minimum of 1 round performing them. Another example of how this skill could be used is in determining how much damage a character will take from being breathed on by an Ancient Red Dragon. Again the answer should be within 20% of the correct figure. Yet another example would be the ability to determine the amount of time, damage, and the precise striking location necessary, in order to chop a hole through a 2' thick brick wall using a pick axe. Once again, the results should be within 20% of the correct figure. This skill can be used for a myriad of purposes, limited only by the players ability to come up with feasible situations. If the roll fails, the result should be off by 80%. It is up to the DM to determine whether the result was an over estimate or an under estimate. It is also up to the DM to determine the amount of time necessary in order to perform the calculation. Use of this skill in conjunction with others gives a +1 bonus to the chance of success, when the other skill is one of the following skills: Engineering, Navigation, Gaming. This skill may be improved by expending additional skill points on the skill. For each additional slot used, the character gains a +1 bonus, up to a maximum of +3 bonus. (+1 = Bachelors degree, +2 = Masters degree +3 = Doctorate degree). The DM must make any rolls for this proficiency due to the nature of it's outcome. Additionally a successful check may force the DM to reveal damages, or chances, before characters actually perform certain actions. No check should be necessary for simple arithmetic. (i.e. addition, subtraction, division, multiplication). Characters without this skill are assumed to have minimal mathematical skills, and will often make computational errors when performing the simplest of tasks.
Return to the Skills & Talents page.
Last updated:Thu, Jul 30, 1998 17:41
This page has been accessed times since 24 Jul 1998.


Difference Between Spearman And Pearson Correlation Pdf
- and pdf
- Tuesday, April 27, 2021 12:03:04 AM
- 1 comment
File Name: difference between spearman and pearson correlation .zip
- What is the difference between correlation and linear regression?
- Spearman's rank correlation coefficient
- Spearman's Rank-Order Correlation using SPSS Statistics
Correlations tests are arguably one of the most commonly used statistical procedures, and are used as a basis in many applications such as exploratory data analysis, structural modelling, data engineering etc. In this context, we present correlation , a toolbox for the R language R Core Team and part of the easystats collection, focused on correlation analysis. Its goal is to be lightweight, easy to use, and allows for the computation of many different kinds of correlations, such as:. Biweight midcorrelation : A measure of similarity that is median-based, instead of the traditional mean-based, thus being less sensitive to outliers. It can be used as a robust alternative to other similarity metrics, such as Pearson correlation Langfelder and Horvath
What is the difference between correlation and linear regression?
The test is used for either ordinal variables or for continuous data that has failed the assumptions necessary for conducting the Pearson's product-moment correlation. If you would like some more background information about this test, which does not include instructions for SPSS Statistics, see our more general statistical guide: Spearman's rank-order correlation. Possible alternative tests to Spearman's correlation are Kendall's tau-b or Goodman and Kruskal's gamma. In practice, checking for these three assumptions just adds a little bit more time to your analysis, requiring you to click of few more buttons in SPSS Statistics when performing your analysis, as well as think a little bit more about your data, but it is not a difficult task. These three assumptions are:.
Correlation functions consist of a broad variety of statistical tests, used to describe the relationship between two, or more, sets of data. Those functions, whether they are parametric or non-parametric, are used in medical studies to characterize the strength of this relationship, and the direction of the relationship. We will successively introduce parametric tests such as the Pearson correlation coefficient, the linear regression model, followed with non-parametric tests such as the Spearman and Kendall rank correlation tests. Finally we will say a few words of calibration, used to evaluate risk scores. The principle of each test will be described and illustrated with selected examples found in medical literature. For two variables x and y , the Pearson correlation coefficient is defined as the covariance of x and y divided by the product of their standard deviations. The strength of association between the two variables is considered important or very strong if the coefficient ranges from 0.
Spearman's rank correlation coefficient
Sign in. I recently came across a scenario where I educated myself about the difference between the Pearson and Spearman correlation coefficient. I felt that is one piece of information that a lot of people in the data science fraternity on the medium can make use of. Read on! Contents of this post:. Correlation is the degree to w hich two variables are linearly related. This is an important step in bi-variate data analysis.
The idea of the paper is to compare the values of Pearson's product-moment correlation coefficient and Spearman's rank correlation coefficient.
Spearman's Rank-Order Correlation using SPSS Statistics
Correlation is a technique for investigating the relationship between two quantitative, continuous variables, for example, age and blood pressure. Pearson's correlation coefficient r is a measure of the strength of the association between the two variables. The first step in studying the relationship between two continuous variables is to draw a scatter plot of the variables to check for linearity. The correlation coefficient should not be calculated if the relationship is not linear. For correlation only purposes, it does not really matter on which axis the variables are plotted.
When investigating the relationship between two or more numeric variables, it is important to know the difference between correlation and regression. Correlation quantifies the direction and strength of the relationship between two numeric variables, X and Y, and always lies between Prism helps you save time and make more appropriate analysis choices. Try Prism for free.
Home QuestionPro Products Workforce.
Беккер надеялся, что тот внял его совету не надевать пока пиджак. Он начал было вертеть головой, но испугался, что очки в тонкой металлической оправе только этого и ждут, и весь сжался, надеясь, что черный пиджак хоть как-то прикроет его брюки защитного цвета. Увы, это было невозможно.
Тут все совпадает. Он решил, что мы добрались до него и, вероятно, отравили - ядом, вызывающим остановку сердца. Он понимал, что мы могли решиться на это только в одном случае - если нашли Северную Дакоту. По спине Сьюзан пробежал холодок.
Техника извлечения. - Она пробежала глазами таблицу. - Уран распадается на барий и криптон; плутоний ведет себя несколько .


Homework 2, due Tuesday, Sept. 5, 2017
Directions: Do Q1, Q2, Q3, and if you are a grad student, Q4.
Put your answers on your blog, and email me the address of the blog if you haven't already. Remember to check over this assignment early, and let me know if you would like us to go over in class how to do any of these, or have any other questions.
Q1. Recall the discussion of exponential curves. Using a spreadsheet or calculator, estimate the following (some hints are below, if you get stuck). Put the answers on your blog, but if the spreadsheets do not upload easily, it is not necessary to upload the actual spreadsheets.
Estimate the doubling time of the software development productivity of the average programmer, if productivity increases at 6%/year.
(Do not do in 2016 - from last year: Estimate the percent per year of increases in the capabilities of pocket computers (y'know, smartphones and such) if this doubles every 2 years. Estimate the percent per year of increases in the capabilities of pocket computers if this doubles every 18 months, as some think it is doing. How long will it take for inflation to halve the value of $100 if inflation is occuring at 2% per year?)
Here are some HW hints that many of you might find of interest. We can talk more about it in class if people wish.
A student asked:
Q: I figured out the estimation, but I did not use a formula. Did we need to have a formula?
Answer: Just calculating the results, one year at a time, is the easiest way to do it. Any amount of money to start with should give the same answer in number of years.
HW: Estimate the doubling time of the software development productivity of the average programmer, if productivity increases at 6%/year.
Q: Is there a number that I start off with?
Answer: I would suggest starting with any number, then add 6% each year until it is double. The number of years it takes is the answer. Let's suppose current programmer productivity is 1000. Then the next year, it would be 1000 plus 6% of 1000. 6% is the same as 6/100 (definition of "%"). So we need to find 1000+(6/100)*1000. That equals 1.06*1000, which works out to 1060 after the first year.
Q: And although it may be simple, I am not sure how to figure out the percent per year. How do I do that?
Answer: Trial and error! For a doubling in 2 years, plug in, say 40% and run your year-by-year calculation twice, for the two years, and see if the result is a doubling. If it more than doubles, try 39%. If it less than doubles, try 41% instead.For doubling in 18 months, that is the same as quadrupling in 3 years. With a whole number of years, you can now just run your year-by-year calculation 3 times, for the 3 years.
Q2. Discuss what topic(s) and format(s) you are considering for your term project. Topic(s) can be anything future related. Format(s) can be a paper, a creative writing story, a program, a musical performance, skit, video, etc. Group or individual are both acceptable. You can change your mind later, but this question is to get you started thinking and writing about it. Word count for this question: 200 words or more. This project will be built step by step in each HW so it is not a big crunch at the end of the semester.
Q3. We discussed the Delphi method. The questions below will give a more in-depth understanding of the Delphi method. Please post the answers on your blog.
A. For your question that we used the Delphi Method on in class, find the median and the range of the middle 50% of the responses. Using a graphics editor of your choice (even MS Paint works for this), make a graph that is analogous or similar to the one in the lecture notes, showing the total range, middle 50% range, and median.
- Hint: if you have an even number of data, the median will be halfway between the middle pair (the median of 1, 2, 3, 4 is 2.5, while the median of 1, 2, 3 is 2). If the number of data points is not divisible by 4, then how do you find numbers that divide the data points into the middle half, with the high quarter of figures above and the low quarter below? Interpolate: the interpolated numbers can be between two data points. For example, 2/7 of the way between 3 and 4 is 3 2/7.
- Hint: Maybe your data will not permit you to graph the middle 50%. However, maybe the data will allow showing the middle x% where x is some number close to 50 that works with the data. For example, if you have 7 data points then you could specify the middle 43% because that would contain the middle 3 data points.
C. Based on what you find out about the Delphi method, what shortcomings, risks, or other weaknesses do you see for the process that we followed in class? Also do you see a way to fix some of these, if we wanted to follow a more rigorous approach?
Q4. Grad students only: You might or might not have already obtained the book you plan to review. If you have not obtained it yet, it should be in the mail to you by now. Check on it. Find reviews of the book on line. Amazon often has them. Also you can often find reviews at goodreads.com. Do a search like the following (works in chrome): site:www.goodreads.com "something really new" which leads to reviews for the book titled "Something Really New" (obviously you would do it for a different book). Read the reviews and make sense out of them. For example, what things about the book can you glean from them? Do they all complain or praise the same things, or are they all different and make it hard to see anything about the book that many readers seem to agree on? Etc. This should be a complete analysis of the reviews such that there would not be anything much that someone might be able to add about the reviews.


Math Bowl promotes a deep love for STEM
Published 11:49 pm Friday, March 29, 2024
Getting your Trinity Audio player ready...
The first Lowndes County District-Wide Math Scholar Bowl was held at Lowndes Middle School on Mar. 7.
The event not only celebrated the talents of young mathematicians but also promoted a love for math and problem-solving in the district’s students. All Lowndes County Public Schools (LCPS) were well represented with approximately 145 students who participated in the thrilling display of mathematical aptitude.
The Math Scholar Bowl is one component of LCPS’s overall STEM Program which aims to increase interest and participation in Science, Technology, Engineering and Mathematics (STEM) related career fields. All students that participated in the Math Scholar Bowl received participation certificates and a treat bag. Each grade level had students that won first, second or third place prizes which included Wal-Mart gift cards totaling $1,200 in the following amounts: $50 prizes for first place, $30 for second place, and $20 for third place winners.
Email newsletter signup
There were a total of 45 winners, spanning across seven grade levels.
LCPS will be hosting a field trip on May 3 to reward the hard work of the district’s students for participating in both the District-Wide Science Fair and the District-Wide Math Scholar Bowl. The students and select faculty will travel to Birmingham to visit the McWane Science Center and Dave and Busters.
These activities would not be possible without the county’s sponsors: Hayneville Telephone Company, Alabama State University Inservice Center, Representative JaMichael Lawrence, First Citizens Bank, Lily Missionary Baptist Church and the Lowndes County Sheriff’s Department.


The Drake Equation is represented as follows:
Obviously, when you look at the questions behind the various parameters – How many stars are there in the milky way? How many stars have habitable planets? etc. – there’s a considerable amount of guesswork involved. As we learn more, parameters can be slowly refined and N can be calculated with a tad more certainty.
The real value of the Drake Equation is not in the answer itself, but the questions that are prompted when attempting to come up with an answer
The video below pulls-together both equation and paradox – and then neatly dovetails the concept of The Great Filter hypothesis.
Dan Carlin engagingly explains how it all fits-together.
A really interesting video.


Maths quest 7 pdf Free Download for Windows - Informer Free download maths quest 7 pdf Files at Software Informer.. Maths Quest is an action-packed, and highly interactive 3D adventure game, teaching and testing children .
5 61 62804 MQGM HSC SS 10.3 - general-maths - home Maths Quest General Mathematics HSC Course 3E WORKED EXAMPLE 2 .. 13 1 144 3 155 39 166 25 17 -1 18-11 7 19-61 3 20 - 5 7 21 -1 22-3 23-24 24-96.
Maths Quest 7 Answers Online Full Online Verified Book Library Maths Quest 7 Answers Online .. Our site has the next Epub Books maths quest 7 answers online designed for free PDF download.
12C Area and perimeter of a sector - StrathmoreYr9Maths Area and perimeter of a sector .
What do you knoW numeracy 1 numeracy set 1a 2 set 1B 6 set . 2 Maths quest 7 for Victoria 3e In this chapter there are six sets of questions.. These questions provide the opportunity for students to use their numeracy skills in .
Maths Quest 10+10 a - PAUL WEISER The calculator companion booklet is also available as a PDF file on the eBookPLUS under the preliminary section of Maths Quest 10 + 10A for Victoria Australian .
ADVANCE INFORMATION 2014 - Wiley: Home MATHS QUEST 7-10 ADVANCE INFORMATION 2014 > THEORY AND PRACTICE Content is carefully sequenced and graded to allow students to build their knowledge and skills, .
MATHS QUEST 7-10A - John Wiley & Sons MATHS QUEST 7 FOR THE AUSTRALIAN CURRICULUM Maths Quest 7 for the Australian Curriculum Textbook + eBookPLUS $62.95 9781742162812 p Maths Quest 7 for the Australian .


Despite their best efforts, teachers simply don’t have the time or resources to address each student’s individual needs. This is a large part of why so many students fall behind, especially in areas such as math. To solve this problem, a lot of parents turn to after-school tutoring, believing that their children will receive the math help they need from professional math tutors. The problem with this approach is that it’s merely a temporary fix. If your own child is struggling at their North Canton, Ohio or Massillon, Ohio school, it’s most likely due to a series of knowledge gaps that he or she has acquired over the years. In this type of situation, supplemental learning is needed, not just tutoring. Fortunately, Mathnasium knows the difference between the two, which is why this Canton, Ohio learning center is such an excellent choice for students who need help to catch up to their classmates.


Dear Dr. Boli: I find myself facing a difficult theoretical problem, and I am at a loss as to how to arrive at the solution. If the distance between Pittsburgh and Chicago is 500 miles, and a train sets off from Chicago at 45 miles per hour, and another sets off from Pittsburgh at 50 miles per hour, when will they meet? —Sincerely, A Student of Mathematics in a Local Secondary School.
Dear Sir or Madam: They will not meet. You neglected to mention that the train from Pittsburgh is headed for Philadelphia, whereas the train from Chicago is headed for Milwaukee. Without this information the problem is, of course, insoluble. With the proper information, however, it becomes trivially easy.
On This Day in History.
ON THIS DAY in 1857, the famous tea clipper Pertinacious was wrecked in a ferocious gale just outside Zanesville, Ohio. To this day no one knows how it got there.


Just How Much Is really a Cubic Yard?
Exactly what is a Cubic Yard?
A cubic yard is the level of a cube using the length, height and width of 1 yard (3 ft or 36 inches). One cubic yard is equivalent to 27 cubic ft. That will help you otherwise this could happen, the level of two automatic washers is simply more than a cubic yard.
Due to their shape, dumpster volume is calculated in cubic yards. Understanding how to calculate cubic yards and estimate the quantity of debris you’ve can help you choose the best container size for the project.
What’s the Web site Yard along with a Cubic Yard?
A yard measures a 2-dimensional area, along with a cubic yard measures three-dimensional volume, or just how much an area holds.
How Can You Calculate Cubic Yards?
To determine in cubic yards, you’ll first have to appraise the area in inches or ft after which calculate its volume. Begin using these steps to find out your volume when it comes to yards:
Appraise the length, height and width (or depth) of the debris or even the area it’s taking on.
Convert measurements to yards by dividing measurements in ft by 3 or dividing measurements in inches by 36.
After you have your volume in yards, make use of the equation below to calculate cubic yards.
It is simple to calculate cubic yardage by converting the 3 size of your material into yards and multiplying them. For instance, should you find out a garden that’s 9 ft lengthy, 3 ft wide and one foot deep, you’ll have one cubic yard of dirt. This is the way it breaks lower:
Multiplying the 3 dimensions, length, height and widthOrlevel, provides you with the entire cubic yardage of the debris. Within this example, 3 yards x 1 yard x 1/3 yard = 1 cubic yard of dirt.
How Can You Convert Square Ft or Cubic Ft to Cubic Yards?
You are able to convert place to volume with the proper information.
Knowing the sq footage of the material, you need to know the width and length from it. To transform Square Feet Cubic Yards ft to cubic yards, you just need to be aware of height or depth. After you have that measurement, multiply the sq footage through the height/depth in ft. Divide the dpi by 27 (the amount of cubic ft inside a cubic yard) to obtain a measurement in cubic yards.
If you have measurements in cubic ft, divide them by 27 to transform to cubic yards.
The Length Of a Cubic Yard of Debris?
After you’ve calculated the level of your debris in cubic yards, still it might be hard to picture the way the dumpster size you’re selecting comes even close to other disposal methods, for example garbage bags, pick-up truck beds or wheelbarrows. Additionally, for some kinds of project debris that do not fall into line as quickly like a garden, it can be hard to determine the number of cubic yards you’re likely to have.
As an item of reference, we’ve damaged lower just how much debris our most typical dumpster sizes holds when compared with other disposal methods:
- 20 cubic yard dumpster: Equal to about 110-130 33-gallon trash bags, 6 pickup loads or 180-270 wheelbarrow loads.
- 30 cubic yard dumpster: Equal to about 170-190 33-gallon trash bags, 9 pickup loads or 270-405 wheelbarrow loads.
- 40 cubic yard dumpster: Equal to about 230-250 33-gallon trash bags, 12 pickup loads or 360-540 wheelbarrow loads.
Find out more about our roll off dumpster sizes to get the best fit for the project, or call we at 866-284-6164 to obtain an expert’s recommendation.
Which Dumpster Size Suits Your Debris?
Additionally to volume, the load of the debris is a vital step to consider just before disposal. It’s also wise to make use of your measurements to estimate the load of the debris before your dumpster rentals.
The load of the cubic yard depends positioned on the types of materials you’re getting rid of. For reference, the next lists the approximate weight of 1 cubic yard of common materials:
- 1 cubic yard of mulch weighs 1,000 pounds, based on dryness.
- 1 cubic yard of soil weighs roughly 2,200 pounds.
- 1 cubic yard of sand, gravel or stone can weigh greater than 3,000 pounds.
- 1 cubic yard of roofing materials can weigh between 4,200 – 7,000 pounds.
- 1 cubic yard of concrete or asphalt weighs 4,000 pounds.
- 1 cubic yard of drywall weighs 500 pounds.
- 1 cubic yard of carpet can weigh between 2,300 – 3,200 pounds.
Knowing how you can appraise the weight and size of the debris in cubic yards, you are able to with confidence choose the correct dumpster size for the project. If you are eliminating furniture, household junk or any other item unlisted here, our dumpster size chart is really a useful resource to understand what container size is the best for the amount and weight of the materials.


The notion of a statistical question serves as a fundamental cornerstone, guiding the pursuit of empirical inquiry and the systematic exploration of numerical patterns and trends. Rooted in the principles of probability and quantitative analysis, a statistical question embodies the essence of inquiry that can be answered through the interpretation of data and the application of statistical methodologies, serving as a catalyst for empirical investigation and evidence-based conclusions.
At its core, a statistical question encapsulates the essence of variability and uncertainty within a specific context or dataset. It beckons researchers and analysts to delve into the nuances of data distribution, exploring the variability of observations and the underlying patterns that govern the phenomena under investigation. By posing questions that necessitate the interpretation of numerical data, a statistical question fosters a systematic approach to understanding the inherent variability and trends within a dataset, enabling researchers to draw informed conclusions and make evidence-based decisions.
A statistical question serves as a catalyst for the formulation of hypotheses and research objectives within the domain of quantitative analysis. By delineating the parameters of inquiry and framing questions that require empirical validation, researchers can construct a robust framework for data collection, analysis, and interpretation, fostering a systematic and rigorous approach to investigating complex phenomena and uncovering underlying numerical patterns that may otherwise remain obscured.
The essence of a statistical question lies in its capacity to engender critical thinking and analytical reasoning within the realm of empirical inquiry. By posing questions that necessitate the application of statistical tools and methodologies, researchers are compelled to engage in a process of systematic analysis, exploring the intricacies of data interpretation and the identification of significant trends and correlations that contribute to a comprehensive understanding of the phenomena under investigation.
In addition to its role in empirical inquiry, a statistical question serves as a linchpin for fostering informed decision-making and policy formulation across various domains, including economics, social sciences, and public health. By posing questions that demand empirical validation and data-driven insights, decision-makers and policymakers can leverage statistical analyses to inform strategic planning, resource allocation, and policy implementation, fostering a culture of evidence-based decision-making that is rooted in empirical rigor and analytical precision.
Furthermore, a statistical question facilitates the exploration of causality and correlation within a dataset, enabling researchers to discern meaningful relationships between variables and uncover underlying trends and patterns that contribute to a comprehensive understanding of the phenomena under investigation. By posing questions that necessitate the identification of causal relationships and correlations, researchers can employ a diverse array of statistical techniques, such as regression analysis and hypothesis testing, to elucidate the complex interplay between variables and discern the factors that contribute to the observed numerical trends.


MATHS ANALYSIS & APPROACHES HL
This course takes into consideration the demand for analytical proficiency in a world where innovation is rooted in the in-depth understanding of mathematics. It combines traditional pre-university mathematical courses with investigation, conjecture and proofs. The foundation of mathematics analysis and approaches rests on a student’s ability to construct, communicate and justify correct mathematical arguments. The use of technology (software and other hand-held technology) is a requisite in this course.
Students can choose to offer the course at a standard level (SL) or higher level (HL). They should generally be able to manipulate algebraic expressions, recognize patterns and comprehend their associated mathematical concepts. However, students interested in the course at a higher-level need to have strong skills, ability to understand simple proofs and must enjoy solving challenging problems.
Students will be able to:
- Develop a curiosity and love for mathematics, and appreciate its power.
- Develop an understanding of the mathematical concepts, principles and nature.
- Communicate mathematics clearly, concisely and confidently in various contexts.
- Develop logical and creative thinking coupled with patience and persistence in problem solving to establish confidence in mathematical application.
- Apply skills to other areas of knowledge and to future developments in their local and global communities
- Appreciate the interplay of developments in technology and mathematics
- Appreciate the universality of mathematics and its multicultural, international and historical perspectives.
- Develop the ability to reflect critically upon their own work and the work of others
- Independently and collaboratively extend their understanding of mathematics.
- Lectures 6
- Quizzes 0
- Skill level All levels
- Language English
- Students 50
- Certificate No
- Assessments Yes


Hey, Welcome students! Here in this article, our team (Nikhilreviews) is going to provide you the NCERT Solutions for Class 12 Maths pdf that will help you to score good marks in your exam.
In our article on Neet Most Wanted Biology Book Pdf Free Download, One student named Manoj requested us for the NCERT Solutions for Class 12 maths pdf.
Here is the screenshot As an example that Manoj Asked For Help!
NCERT Solutions for Class 12 Maths pdf is a very necessary book to score well in your exam, it helps solve assignments, homework, or any other doubt. It also helps understudies finish cutthroat tests like IIT JEE, AIIMS, NDA, UPSC, NEET, BITSAT, VITEEE, and other government assessments.
To put it plainly, NCERT arrangements are needed for any undergrad designing passageway test or government test since they are your best partner and foot forward in your test arrangements. Scoring good marks in maths exams can be a troublesome methodology since it includes something other than remembering realities; it additionally expects you to apply what you’ve realized. This must be refined through training and your hard efforts.
NCERT Maths Solutions for Class 12 gives a solid conceptual basis for all chapters and topics included in the CBSE-mandated 12th-grade portion. Important formulas, theorems, and equations are included in the solution PDF. Each point is further discussed with extensive explanations so that students may grasp the concepts quickly and effortlessly. Now without wasting any single second. let`s dive into the topic to know more about NCERT Class 12 Maths Chapterwise Solution.
Class 12 NCERT Math Solution PDF
|1).||Relations And Functions||Download|
|2).||Inverse Trigonomteric Functions||Download|
|5).||Continuity and Differentiability||Download|
|6).||Application of Derivatives||Download|
|8).||Application Of Integrals||Download|
Blueprint Of Class 12 Maths
|I.||Relations And Functions||08|
|IV||Vector And Three Dimensional Property||14|
What`s Inside The Chapters
NCERT Solutions For Class 12 Maths PDF Chapter 1: Relations And Functions.
The ideas of relations, functions, domain, and codomain introduced in Class 11 are expanded upon in this chapter. The students look at the graphs of numerous real-valued functions. The chapter includes four tasks that help to reinforce the principles covered in the chapter.
NCERT Solutions For Class 12 Maths PDF Chapter 2: Inverse Trigonometric Functions.
This chapter utilizes the limited range of trigonometric functions that allows them to be one-on-one, thereby revealing the inverse of the functions. This chapter introduces the inverse trigonometric function through two tasks that teach students about its behavior, graphical representations, and basic features. Later on, these reveal to be more useful in terms of integration.
NCERT Solutions For Class 12 Maths PDF Chapter 3: Matrices
This part takes you through the properties of quite possibly the main instruments of Mathematics, in particular Matrices. The understudies gain proficiency with the fundamentals of Matrices and Matrix Algebra.
NCERT Solutions For Class 12 Maths PDF Chapter 4: Determinants
This chapter, which is correctly preceded by Matrix, deals with a crucial aspect of Matrices, namely Determinants. The determinants of orders up to three and their cofactors and inverses are covered in this chapter. This chapter also discusses determinants’ applications, such as calculating the area of triangles, adjoint of matrices, and the consistency of a set of linear equations.
NCERT Solutions For Class 12 Maths PDF Chapter 5: Continuity and Differentiability
This part gets after the Differentiation of Functions presented in Class 11. The part investigates the significant ideas of Continuity, Differentiability and sets up the connection between them. It likewise manages the progression and differentiability of Inverse Trigonometric Functions. It likewise presents remarkable and logarithmic capacities.
NCERT Solutions For Class 12 Maths PDF Chapter 6: Application of Derivatives
With Continuity and Differentiability denoting the beginning of Calculus, this section manages the differentiability of capacities, and prologue to subsidiaries. It dives into the subsidiaries of explicit capacities, and their applications, specifically the digressions and typical to bends, and the pace of progress in certain amounts. It likewise discusses expanding and diminishing capacities.
NCERT Solutions For Class 12 Maths PDF Chapter 7: Integrals
This is perhaps the most significant and tedious section in the entire Class 12 Mathematics. This part manages a mix of capacities, and its applications as far as computation of regions. This denotes the prologue to Integral Calculus. There is an aggregate of 11 activities in this section, making it a very practice-driven piece of the schedule.
NCERT Solutions For Class 12 Maths Chapter 8: Application Of Integrals
This section manages the utilizations of integrals in computing regions under basic bend, lines, parabolas, and circles. The two activities give enough inquiries to rehearsing the region computations.
NCERT Solutions For Class 12 Maths PDF Chapter 9: Differential Equations
This section presents the idea of Differential conditions, the general and specific arrangements, and the request and level of a condition. This additionally discusses the utilization of differential conditions in the six activities.
NCERT Solutions For Class 12 Maths PDF Chapter 10: Vector Algebra
This section manages the vector amounts, that is, the amounts with both size and bearing. The Vector polynomial math sums up the guidelines of expansion of vector amounts and other significant properties. Vector Algebra assumes a major part in Physics.
NCERT Solutions For Class 12 Maths PDF Chapter 11: Three-Dimensional Geometry
This part uses vectors to ascertain the distance between lines, a point, and a line, and a line and a plane, alongside the points between them. It additionally presents the idea of heading cosines.
NCERT Solutions For Class 12 Maths PDF Chapter 12: Linear Programming
This chapter delves into the concept of linear programming issues and how to solve them using simply the graphical method.
NCERT Solutions For Class 12 Maths PDF Chapter 13: Probability
This section manages the idea of Conditional Probability and the experiences of something very similar in our day-by-day lives. This investigates Bayes’ Theorem, the increasing rule, and the freedom of occasions.
1). Is NCERT Books is enough to score out of marks in Maths?
Yes, NCERT is definitely a very good book to get the best marks in your exam. Because in the exam a lot of questions are asked from this book only. The language utilized in the arrangement book is extremely intelligent and simple. We have likewise attempted to incorporate substitute answers for answers, in case there are any. A solitary snap download to any NCERT reading material and arrangement book.
2). Is NCERT Book is Better than all other books?
Yes, the NCERT book is better than all books, because NCERT covers only those topics or questions that is which have appeared in the exam.
3). Is it important to solve all the NCERT Questions given toward the finish of every section??
The inquiries and answers given in NCERT course books toward the finish of every part are very significant for assessment as well as for understanding the ideas in a superior manner. These inquiries are given to test the understudies’ agreement and learning over the points that they have learned in the section. Taking care of the NCERT practice issues will help you clear every one of the ideas and formulae you learned in a section acquaint with various kinds of inquiries that may be posed in tests get sufficient practice which is critical to prevailing in the Mathematics test work on your precision and speed.
Final Verdict (Conclusion)
Thanks for reading our article, In this article, we hope you will have an amazing learning experience after using the solutions. we have made this article with lots of research and observations. So, dear readers if you have any questions or confusion left in your mind then don`t hesitate to ask your doubts in the comment section. Our team respects your questions and will try to solve them.
- Pardeep physics class 12 PDF.
- Pradeep Chemistry Class 12 PDF.
- Public Administration And Public Affairs.