California’s new assessment program, the California Assessment of Student Performance and Progress (CAASPP), represents the next step in our state’s ambitious education remodeling project.
The new assessments enable parents and teachers to know how well students are learning the skills and knowledge they need to succeed in today’s world.
The assessments that comprise the 2016 CAASPP administration are a mix of online and paper-pencil assessments.
The online component contains the Smarter Balanced English language arts/literacy (ELA) and mathematics tests. The paper-pencil component includes CST/CMA/CAPA science tests and the optional STS for RLA.
Understanding the new assessment scores
It’s important to remember that results from the new assessments are only a component of our upgraded system, and just one way of measuring student progress, along with class assignments and report cards. Further adjustments will be needed along the way to help us make lasting progress – and both patience and persistence will be required to help our schools and students continue to succeed during this time of remodeling.
- NCSD 2015-16 CAASPP Test Result Comparison Documents
- Understanding Your Students 2015-2016 Score Reports
- View a sample report
- Understanding Your Students 2015-2016 Score Report Video
- New Test Score Guide Web page
- Take the practice test- An individual user account is not required to take the practice tests/use the GUEST login and session when prompted.
- California Department of Education Website
- A Family Guide to Understanding California's New Testing System Part 1
- A Family Guide to Understanding California's New Testing System Part 2
CDE Website Smarter Balanced Assessment System
Understanding Your Child's Student Score Report 2014-2015 Baseline Test Results Video
Portal for California Assessment of Student Performance and Progress (CAASPP)
Practice and Training Tests
Test Administration Resource Links
Big Ideas Math Curriculum
General Information CCSS Math
Live Math Binder (Cupertino School District)
Math Scribe -Free interactive online textbook for Common Core Algebra 1
Parent Handbook Mathematics Grades 6-8 Common Core State Standards California Public Schools
Parent Roadmaps to Common Core Math by Grade Level
Parent's Handbook- California's Common Core Standards (CCSS)
Parent Engagement Meetings Math FAQ's
Nevada City School District Math Committee Reports
Video- Why is Math Different Now? by Dr. Raj Shah


Free printable division flash cards pdf
Printable Division FlashcardsMini 1- Math Flash Cards
Free printable multiplication flash cards pdf Printable. Division flash cards printable pdf, Raven and johnson biology pdf, Math Facts Flashcards: Division. The best math fact flashcards I've ever used had the problem with the answer on one side (for learning the math fact), and the., 43 printable division worksheets presented in a pdf book for kindergarten and 1st grade. Learning basic division concept. Division with pictures. Dividing numbers by 1 to 10 practice worksheets..
MULTIPLICATION AND DIVISION TRIANGLE FLASHCARDS
Printable Division Flashcards Worksheet Library. Free Division Flash Cards for Kids. This set of color division flash cards contains division problems based on the 12 times tables. The flash cards have been saved together in a printable pdf for your convenience. Click on the images below to open the pdf in your browser and download the file to your computer., 2 Г—5 10 2 Г—7 14 2 Г—8 16 2 Г—6 12 www.AllFreePrintable.com www.AllFreePrintable.com www.AllFreePrintable.com www.AllFreePrintable.com.
43 printable division worksheets presented in a pdf book for kindergarten and 1st grade. Learning basic division concept. Division with pictures. Dividing numbers by 1 to 10 practice worksheets. Not only for subtraction but addition, multiplication, division, etc.... Flash cards make learning subtraction facts easier for students. Students enjoy them because it's a hands-on way to learn math. The better students are at math facts, the better they'll be in higher level math! Subtraction Flash Cards. These are free printable flash cards
Free printable multiplication flash cards pdf Printable. 8 Printable Flash Cards Worksheets. Whether you are just getting started practicing your math facts, or if you are tring to fill in missing knowledge for timed practice tests, these free printable flash cards for addition math facts will help! Addition Flash Cards, Worksheets > Flashcards > Math > Division. Free division math facts flashcards. These free flashcards help kids learn their basic division math facts. Our math flashcards complement our K5 Math program; a 14-day free trial is available. Division math facts flashcards. Entire Set. Set of 1's. Set of 2's. Set of 3's. Set of 4's. Set of 5's. Set.
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Printable multiplication flashcards. FREE Division Flashcards with Color Choices Division is something you learn right after multiplication. So it was time for some division flash cards. Free Division Flash Cards - numbers 1 to 12 - 5 color options: white, blue, green, red and pink - 3Dinosaurs.com See more, It doesnвЂ™t matter whether you have downloaded our free multiplication flash cards printable sheets or have purchased a box of UpSparks Multiplication Flash Cards, you still have access to the same growing library of free resources. Everything from question worksheets to apps and fun multiplayer games learners can play with friends, there is.
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70+ Fun Multiplication Worksheets вђ Charts Flash Cards. Find your free printable division games/page/4 here for free printable division games/page/4 and you can print out. Search for free printable division games/page/4 here and subscribe to this site free printable division games/page/4 read more! Division-Flash-Cards. Create Account. Membership Level: Yearly Membership - $8.00 - 1 Year-Access all of Tim's Printables for 1 year. Choose Your Payment Method . PayPal Credit / Debit Card Auto Renew. Already a member? Sign in. Leave a Comment Cancel Reply. Your email address will not be published. Required fields are marked * Type here.. Name* Email* Website. Save my name, email, and website.
Division flash cards printable pdf, Raven and johnson biology pdf, Math Facts Flashcards: Division. The best math fact flashcards I've ever used had the problem with the answer on one side (for learning the math fact), and the. 10 Flashcards www.Multiplication.com 3 x 10 30 www.multiplication.com 2 x 10 20 www.multiplication.com 1111 x x x 10110010 10 www.multiplication.com 6 x 10 60 www.multiplication.com 5 x 10 50 www.multiplication.com 4 x 10 40 www.multiplication.com 9 x 10 90 www.multiplication.com 8 x 10 80 www.multiplication.com 7 x 10 70 www.multiplication.com. 11 вЂ¦


Carrie Jordan's class photos run the length of Normandy Elementary's gym wall. Every year from 1995 to 2016, 25 or so students surrounded their teacher in each photo. And while the fashion and hairstyles changed over those years, the smiles on their faces did not.
And, maybe today, those students don't remember the mathematics principles their teacher, "Miss Jordan," taught them. But, if nothing else, they likely do remember how she taught it — with fun games and a positive attitude.


Welcome to YOUR Student’s Links Page
Below are some helpful school links as well as links to some helpful learning tools & activities
Our students enhance their classroom training with on-the-job skills, developed through internships. These learning experiences provide each student with an opportunity to explore career choices that align with their skill sets, talents and interests.
Ultimately students will learn how to meet daily life challenges independently and with confidence, becoming productive, successful citizens in our community.
- Click the link
- Click on Current Events
- Pick an article to read
- Answer all the questions at the bottom of the page in complete sentences.
Math Sites & Links
Mathematics is one subject that most of us are afraid of. Solving problems, algorithms, algebra, trigonometry, linear equations, calculus etc. are not everyone’s cup of tea.
Moreover the sight of boring black and white text books filled with numbers can be very intimidating. Therefore to make math fun, colorful and interesting, there are math websites that can easily help in problem-solving with step by step tutorials, math games and guide articles. Look below for top 10 websites for learning mathematics online.
Mathway is one of the best online mathematics websites that can solve almost all kinds of math problems. It offers different mathematics tools and helpful tutorials that can guide to learn all concepts of mathematics easily. With hundreds of millions of problems already solved, Mathway is one of the top problems solving resource available for students, parents, and teachers. Mathway solves problems in Basic Math, Pre-Algebra, Algebra, Trigonometry, Precalculus, Calculus, Statistics, Finite Math, Linear Algebra, and Chemistry. Available easily on Android and I tunes, receiving answers on Mathway is completely free, but step-by-step solutions require payment.
Combining new technology along with educationally sound principles, Math.com provides a unique experience that quickly guides the user to the solutions they need and the products they want. The solutions include on-demand modular courses targeting key math concepts, 24/7 online tutoring, assessments, and expert answers to math problems and questions. It also offers recreational and exploratory introduction to the world of math that can be easily understood and used for deeper understanding of the subject.
3. Math is Fun
Mathsisfun is one of the best online platforms for learning mathematics in a fun way. It provides numerous mathematic tools, puzzles, games, worksheets and activities that can make learning mathematics interesting for children, teachers and parents. It covers topics such as data, geometry, numbers, money, algebra, measurement.
4. Cool Math 4 Kids
Coolmath4kids is one of the coolest kids learning websites providing some useful Mathematics learning tools, puzzles and games which are very useful to teach kids Mathematics. It boasts to be an amusement park of learning games, activities, puzzles and many more things for students under 12 years.
5. The Math Forum
Mathforum is one of the oldest forums on mathematics where students and teachers can engage and problem solve. It is one of the best online communities made for educators, teachers, students and researchers who love maths or want to love maths. It is regarded as one of the best virtual learning platforms for learning mathematics offering study materials, articles, guides and softwares, on maths for all levels (Elementary, Middle, High and College+).
PurpleMath is another popular site for students and teachers to gain a deeper understanding of algebra. It provides for innovative ways to learn algebra and emphasizes on practicalities rather than technicalities making math useful in real life. It contains tutoring forums, worksheets, lessons and articles to make learning algebra easy and fun.
Coolmath is a popular mathematics learning website making the learning experience easy to understand. It provides math for 13 years to 100 years of age covering topics such as algebra, pre-calculus and more. CoolMath offers free math lessons, games and applications which can help students learning math quickly.
8. Math Playground
Mathplayground offers math based kids learning games. It is an educational site for elementary and middle school students where you can practice your math skills, play a logic game, and have some fun!
9. Math Cats
Mathcats provides funny puzzle and games to learn math easily. This website promotes open-ended and playful explorations of important math concepts in the context of online learning games, interactive applets, and activity suggestions. Math Cats is packed with activities covering a variety of math concepts. In this engaging site, you will find math games, math trivia, math investigations, math crafts, an art gallery loaded with student submitted “cat artwork,” and more. Students will enjoy this colorful site that is sure to provide hours of fun while learning.
Onlinemathlearning offers basic to high level math teaching materials to students. You can find here hundreds of useful resources on Mathematics. It offers mathematics solutions from Pre-KG to 12th Grade, along with Maths for Tests such as GRE, GMAT, SAT, GCSE, Regents, ACT, California, A-level. It also includes interactive learning through games and worksheets.


2 edition of Computer graphics and children"s understanding of linear and locally linear graphs found in the catalog.
Computer graphics and children"s understanding of linear and locally linear graphs
Thesis (M.Sc.) - University of Warwick, 1987.
Graphs help bring numbers to life, and our exciting, skills-based graphing games make it easy to learn how to create and read graphs. Start with the basics of the bar graph, and work up to picture graphs, collecting data from word problems, and locating points on . Tags: linear, graphs All rights to paintings and other images found on are owned by their respective owners (authors, artists), and the Administration of the .
troduction to abstract linear algebra for undergraduates, possibly even ﬁrst year students, specializing in mathematics. Linear algebra is one of the most applicable areas of mathematics. It is used by the pure mathematician and by the mathematically trained scien-tists of all disciplines. This book is directed more at the former audience. Chapter 5. Linear Algebra. Perhaps the most universal tools of graphics programs are the matrices that change or transform points and vectors. In the next chapter, we will see how a vector can be represented as a matrix with a single column, and how the vector can be represented in a different basis via multiplication with a square matrix.
Identify linear functions from graphs and equations S.3 Find the slope of a graph S.4 Find the slope from two points S.5 Find a missing coordinate using slope S.7 Slope-intercept form: graph an equation S.8 Slope-intercept form: write an equation from a graph. See this page from the I.R.S. for examples of two pie charts showing U.S. government income and spending (outlay) in It also includes some questions to help you understand the charts. The picture at the top of this page shows an example of a bar graph, a line graph, a pie chart, and a table.
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Kids learn about linear equations and how to graph a line from a linear equation. Example math problems. History Biography Geography Science Games.
Kids Math. Intro to Linear Equations. A linear equation is an equation that describes a straight line on a graph. You can remember this by the "line" part of the name linear equation. Linear graphs word problems (Opens a modal) Linear graphs word problem: cats Linear models word problem: book (Opens a modal) Linear models word problem: marbles (Opens a modal) 4 questions.
Practice. Unit test. Test your understanding of Linear equations, functions, & graphs with these 25 questions. Start test.
About this unit. Other articles where Linear graph is discussed: number game: Graphs and networks: the latter are sometimes called linear graphs, although there is little confusion within a given context. Such graphs have long been associated with puzzles. Linear Algebra in Computer Graphics In two dimensions, we can represent a vector by a 2x1 column matrix x y ⎡ ⎤ ⎢ ⎥ ⎣ ⎦ We can scale a vector by multiplying by a suitable diagonal matrix S 0.
Linear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and s: Applications of Computer and Video Graphics within Linear Algebra By: Nicole Hill, Emily Deane & Bryan Combs Linear Algebra- the backbone of many applications from computer graphics to gaming Projections Squeezing Shear Mapping Scaling Rotations Reflections Projections Linear.
lot of “classical” linear algebra and techniques from optimization theory. And there comes the main challenge: in order to understand and use tools from machine learning, computer vision, and so on, one needs to have a ﬁrm background in linear algebra and optimization theory. Help children see that good readers read the graphics.
Some children are under the impression that good readers do not need to look at the graphics to fully understand a text and thus avoid doing so (Norman, ), when, in fact, use of graphics is actually a.
Computer Graphics 6 Computer graphics is an art of drawing pictures on computer screens with the help of programming. It involves computations, creation, and manipulation of data. In other words, we can say that computer graphics is a rendering tool for the generation and manipulation of.
–Linear combinations of basis vectors span the space •i.e. any cubic polynomial is a sum of those basis cubics • Linearly independent –Means that no basis vector can be obtained from the others by linear combination •Example: i, j, i+j is not a basis (missing k direction!) I collect some books below.
Graphs and Matrices by Bapat (as pointed out by Josse). Section of Graph Theory: Springer Graduate Text GTM By Reinhard Diestel covers linear algebra on graphs (, P).
Section of Graph Theory and Its Applications, Second Edition By Jonathan L. Gross, Jay Yellen (, p) covers, similarly. Handbook of Graph Theory (), 2nd Edition by Gross. Get this from a library. Linear geometry with computer graphics.
[John Loustau; Meighan Dillon] -- Disk contains: GraphLib The well-known Don Cohen wrote a book called Changing Shapes with Matrices. He called it, “A book for ages 7 to adult – for people into computer graphics, morphs, how living things differ in shape, or just in the fun and power of being able to change a 2-D shape, oneself, quickly and easily.”.
Essential to computer graphics Graphs: simplest class of \piecewise linear" spaces locally like at space (linear space) but globally: nontrivial topology View from inside a 3-torus (Je Weeks \The shape of space") understanding of the distant universe.
Yes. The ideas of linear algebra are used throughout computer graphics. In fact, any area that concerns itself with numerical representations of geometry often will collect together numbers such as x,y,z positions into mathematical objects called.
Graphing a Linear Function Using y-intercept and Slope. Another way to graph linear functions is by using specific characteristics of the function rather than plotting points.
The first characteristic is its y-intercept which is the point at which the input value is zero. To find the y-intercept, we can set [latex]x=0[/latex] in the equation. Linear graphs worksheet for 6th grade children. This is a math PDF printable activity sheet with several exercises.
It has an answer key attached on the second page. This worksheet is a supplementary sixth grade resource to help teachers, parents and children at home and in school. Linear graph worksheet for 2nd grade children. This is a math PDF printable activity sheet with several exercises.
It has an answer key attached on the second page. This worksheet is a supplementary second grade resource to help teachers, parents and children at home and in school. Read, create, and interpret bar graphs with these worksheets. Box Plots (Box-and-Whisker Plots) Create box plots on a number line using the values for Q1, median, Q3, minimum, and maximum.
(Approx grade levels: 6, 7, 8) Line Graph Worksheets. Read and create line graphs with these worksheets. Line Plot (Dot Plot) Worksheets. Make your own Graphs. Explore the wonderful world of graphs.
Create your own, and see what different functions produce. Get to understand what is really happening.
What type of Graph do you want. Function Grapher and Calculator: Equation Grapher. Make a Bar Graph, Line Graph or Pie Chart. Linear algebra emerged in the s yet spreadsheets were invented in the s. I blame the gap on poor linear algebra education. Historical Notes: Solving Simultaneous equations.
An early use of tables of numbers (not yet a “matrix”) was bookkeeping for linear systems: becomes.The book is extremely well written and clearly was a labor of love.
If you get some pleasure out of math and code, you'll have no technical troubles working your way through the book and in the end will be rewarded with an intimate, flexible understanding of graphics development that won't be hamstrung by dependence on a specific API. The field of graph algorithms has become one of the pillars of theoretical computer science.
This is an introduction to graph algorithms accessible to anyone with a strong linear algebra background - it allows non-computer science trained engineers and scientists to quickly understand and apply graph s: 2.


JXCirrus Maths is a maths training application aimed at primary school children. It focuses on basic arithmetic: Times tables, addition, subtraction and division. It will let you set up exercises that are run each day, and then records the best time and lets you race against that. Features: - Set up any number of exercises for your child. - For Times tables and division: Select one or more times tables to practice, choose how many questions will be asked, choose whether they will be run in random order. - For Addition and subtraction: Select a range to add up to or subtract from (i.e. add up to numbers between 15 and 25) and how many questions to be asked. - Schedule exercises to be run once a session, once a day or once a week. - Records the fastest time for an exercise. - Lets you race against your fastest time (which adds that extra bit of interest to maths practice). - Set up the application to display photos from the family album - The photo will change over after each completed exercise. - Set up exercises for any number of children. - Share exercises between computers using Cloud services like Box and Dropbox. - Available on Windows, MacOS and Linux. - Includes a built-in user manual.


Carlos Saiago is the author of Álgebra Linear ( avg rating, 5 ratings, 0 reviews, published ) and Álgebra Linear Teoria, Exercícios Cecília Perdigão. Cecília Perdigão studies Teoria Dos Grafos, Education, and History. Linear Algebra and its Applications () – rank of matrices and the equivalence class graph 聻 Rosário Fernandes ∗, Cecília Perdigão.
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More recently, other authors have been studying mr G when G is a graph different from a tree, e. Let G be a graph such that G is a path of order p. Leal Duarte, The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree, Linear and Multilinear Algebra 46 — Hogben, Computation of minimal rank and path cover number for graphs, Linear Algebra Appl.
The teachers of this course will also set a Schedule to receive the students beyond class time. Hogben, On the difference between the maximum multiplicity and path cover number for tree-like graphs, Linear Algebra Appl. There’s a problem loading this menu right now. Since in B the additional entries in these rows are all 0, Eq.
Assume, without loss of generality, the order x11. Dias da Silva for helping them to improve and revise this article. Repeating this process we obtain a contradiction. It is now easy linesr see that the rows of A corresponding to vertices in the same equivalence class are equal. Linear Algebra and its Applications — www. ComiXology Thousands of Digital Comics.
Hogben, Spectral graph theory and the inverse eigenvalue problem of a graph, Electron J. There are no another classes with cardinality one, so G satisfies the hypothesis of Theorem 3.
Linear Algebra 13 — Enter lindar email address you signed up with and we’ll email you a reset link. Linear Algebra 11 — For the sake of simplicity, consider an ordering of the elements of V G such that each equivalence class of Cecila is a set of consecutive elements in that ordering; for instance first we consider the vertices of X1then the vertices of X2 and so on until we reach the vertices of the last class Xp.
Loewy, Graphs whose minimal rank is two, Electron.
Álgebra Linear e Geometria Analítica | Cecília Perdigão
Easily, we can see that the rows 2. Content tecla de atalho: Other occurrences See Lesson Summaries Exams. Projections and Orthogonality; 5. In particular when G is an unicyclic graph, the problem was solved in . Product details Paperback Publisher: The calculus of the classification is identical to that described above. Let B be the adjacency matrix of G. Write a customer review. Now, we can ask: Share your thoughts with other customers.
Amazon Renewed Refurbished products with a warranty. Amazon Drive Cloud storage from Amazon. Implications to the minimum rank of graphs, Electron.
For this we have to define Definition 3. I’d like to read this book on Kindle Don’t have a Kindle? Log In Sign Up. Amazon Restaurants Food delivery from local restaurants. We denote by N x the set of all neighbors of x in G, i. In Section 3 we study the previous inequality for all graphs whose equivalence class graph is a path.
English Choose a language for shopping. The minimum rank of matrices and the equivalence class graph. Be the first to review this item Would you like to tell us about a lower price? Click here to sign up.


For months now, I’ve been drawing and painting circles. I’ve found the activity both calming and centering. My mandalas are pretty sloppy and primitive especially when you compare them to work like this. (Not that there’s anything wrong with sloppy and primitive. I prefer art that looks like anybody can do it, and am often turned off by highly technical expertise.) Today, however, I decided to add a dimension of precision to my work.
I bought a protractor and attempted to follow directions for creating a six-radiation mandala from Baily Cunningham’s beautful book: Mandala, Journey to the Center. It’s been a while since I tried following someone else’s directions, and I found it nearly impossible to complete the mandala as instructed. I blame it on the math.
I’ve always hated math in school, and things like numbers and protractors and compasses are, for me, instruments of torture. Still, adding a little geometry and measurement to the creative art opened a new process for me. I could actually feel the unused parts of my brain getting a workout. I thought about the inevitability of geometry, and the universality of numberic relationships and ratios. I wondered how different my life would be if, as a child, I had not been so afraid of math. The mathematical language of the universe may have revealed truths I will never access.
Maybe in working with the arcs and the angles in my mandalas, I’ll catch a glimpse of the secrets of math without having to understand it. As I color my circles, I can at least appreciate of the value of balance with a renewed appreciation for measurement and precision.


Credit: Mats Rudels
Monday, June 16, 7:30 p.m.
How Not to Be Wrong presents surprising revelations using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon.
Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.
Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.”.
Jordan Ellenberg is the Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin-Madison. He has lectured around the world on his research in number theory and delivered one of the plenary addresses at the 2013 Joint Mathematics Meetings, the largest math conference in the world. His writing has appeared in Wired, The New York Times, The Washington Post, The Wall Street Journal, The Boston Globe, and The Believer, and he has been featured on the Today show and NPR’s All Things Considered. He writes a popular column called “Do the Math” for Slate.
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mirabilius, The logarithmic spiral is found across the natural world. You will
see this spiral curve in the chambers of a nautilus shell, in an unfurling fern
frond, in the centre of a sunflower or in the swirling eye of a storm cloud.
This piece began with a study of the mathematics of the logarithmic spiral and
developed into its current twisting form.
Embroidery thread and pins on paper, 92 x 105cm (framed size), Framed in a white box frame


What have you achieved this week?
I learn’t about Integers and Integers are whole numbers like 1,2,3 and so on (no fractions). Integers are on a number line (adding). Integers in Real life: Clock, Speed monitors in cars, Protractors and etc. I also read, interpret, write and order numbers in the thousands.
What workshops have you attended?
I have attended a workshops on dividing decimals and I haven’t been able to go to much workshops because I have to work with Miss W but I am going to try to go to a lot more now.
What new concepts and strategies have you learnt?


Cross correlation example
Cross-Correlation 8: Correlation •Cross-Correlation •Signal Matching •Cross-corr as Convolution •Normalized Cross-corr •Autocorrelation •Autocorrelation example •Fourier Transform Variants •Scale Factors •Summary •Spectrogram E1.10 Fourier Series and Transforms (2015-5585) Fourier Transform - Correlation: 8 - 2 / 11
The DFT correlation operator ` ' was first defined in §7.2.5. The term ``cross-correlation'' comes from statistics, and what we have defined here is more properly called a ``sample cross-correlation.'' That is, is an estimator 8.8 of the true cross-correlation which is an assumed statistical
Exploring the relationship between Correlation and the Cauchy-Schwarz inequality deserves its own post to really develop the intuition. For now it is only important to realize that dividing Covariance by the square root of the product of the variance of both Random Variables will always leave us with values ranging from -1 to 1.
Cross-Correlation. This is a kind of correlation, in which the signal in-hand is correlated with another signal so as to know how much resemblance exists between them. Mathematical expression for the cross-correlation of continuous time signals x (t) and y (t) is given byMi note 5 pro efs file
Cross correlation example
2. cross correlation. Cross correlation is to calculate the dot product for two series trying all the possible shiftings. For example, let's fix the s_a and assume that you slide s_b from the left to the right. At the beginning, s_b is far away and there is no intersection at all.
The output is the full discrete linear cross-correlation of the inputs. (Default) valid. The output consists only of those elements that do not rely on the zero-padding. same. The output is the same size as in1, centered with respect to the ‘full’ output.
In statistics, a cross-correlation function is a measure of association.For example, the most common correlation coefficient, the Pearson product-moment correlation coefficient (PPMC), is a normalized version of a cross-correlation.The PPMC gives a measure of temporal similarity for two time series.. Cross Correlation in Signal ProcessingJun 24, 2018 · Correlation between two instances of the same variable, r X1X2 and r Y1Y2; Two synchronous correlation (r X1Y1 r X2Y2). In addition, there are also two cross-lagged correlations which we can designate r X1Y2, r X2,Y1. The diagram below shows the four data points and the correlations.
and I can't find a proper way to calculate the normalized cross correlation function using np.correlate, I always get an output that it isn't in between -1, 1. Is there any easy way to get the cross correlation function normalized in order to compute the degrees of freedom of two vectors?Free programs for fathers


Nodes at the lowest level are arranged directly in a circle around their parent. At the upper level, the already arranged nodes form branches that are arranged in a circle around the new parent node. The algorithm is recursively repeated till the highest level is reached. If nodes in the tree have uniform number of children, the end result has fractal-like appearance (subsets of the graph look like scaled-down copies of the whole graph).
You can choose which node should be displayed at the center of the topmost circle by setting the Root property. If it is not specified, the algorithm automatically selects a root that leads to more balanced distribution of nodes.


11 juli 2016 - An introduction to the Kelly Criterion and its benefits. Understand the Kelly Criterion with a simple coin toss example. Use a helpful Kelly Criterion calculator for any bet. How to use Kelly Criterion for betting. Bettors should always look for a mathematical edge rather than rely on their impulses. Learning how. The Kelly Criterion is a sports betting strategy for calculate the optimal amount to stake. We explain how it works, and discuss its advantagesand disadvantages. The Kelly Criterion. When it comes to making long-term profit through gambling, managing your betting bank correctly and finding the right staking plan is as important as identifying a winning strategy based on finding value in the market. Even if you have an edge and can identify value – which is where the bookies offer.
For each possible outcome, calculate the ending bankroll for that outcome starting bankroll plus all wins minus all losses. When this solution is applied in the field of sports investing however, there are a number of challenges. We've provided a very brief explanation of value here, but this is something you should know all about if you're serious about your sports betting. But for this article, it is the how, as in how much to bet, we are interested in. Probability multiplied by odds — 1 divided by odds — 1 multiplied by your chosen fraction.
The Kelly Criterion staking strategy explained | MrGreen Sportsbook Video
HOW TO GUARANTEE PROFIT BETTING (Bankroll Management: Staking Plans) Download our Football Kelly formula calculator in Excel now. Ferguson explained that the optimal bet to make in an NFL market is a teaser which takes a team across the 3 and the 7. Don't like this video? Michael Covel 1,187 views. So to be able to use the formula in the most efficient way, you need to be able to calculate the chances of any particular bet being successful. Add to Want to watch this again later? It's certainly the main reason for using it in the eyes of many bettors, as it's essentially what enables them to get the right balance between growing their bankroll and protecting it. Keep up-to-date with more top-notch betting article by following us on Twitter PinnacleSports. The second disadvantage of the strategy is that it could be considered overly aggressive. Read on to learn more. We don't recommend that you place any bets based upon the results displayed here. Here are five points to follow if you want to maximise your return using basic strategy. If you have a combination of both, take the mean percentage. The result from using these six steps is as follows: Blocked Unblock Follow Get updates. There are, of course, African Sunset Slot Machine Online ᐈ GameArt™ Casino Slots when you might have multiple edges on different games, all taking place at the same time. Many people firmly believe that the strategy is extremely useful for calculating the optimal stakes to place, while others believe it serves very little purpose at all. Find out why Close. Whether the Kelly Criterion is the right approach for you comes down to personal preference.


The Maths Policy is updated annually and reviewed termly by the subject leader and SLT. For more information about the curriculum at Gaskell Primary School please contact the school to arrange a visit where we will be happy to share more information. To view our Maths Policy, click here.
At Gaskell Primary we love learning our times tables. Children are able to earn bronze, silver and gold badges as they move through the times tables.
- Starts from Y2 and goes up to Y6
- Each year group has an average expectation and specific tables to learn. Under the new curriculum, Y4 children onwards are expected to recall all multiplication/division facts for all tables 2-12
- There are Level 3 of times tables and children are able to earn badges once they can instantly recall them
Bronze – 1x, 2x, 5x, 10x
Silver – 3x, 4x, 6x, 8x
Gold – All times tables to 12x
Once completed GOLD – Move onto multiplying 10, 100 & 1000 and decimals. Make sure you practise with your child at home so they can earn a badge!
Click on the image below to access your child’s MyMaths. Simply insert their username and password to access the site. If you don’t know this, please speak to your class teacher.
Click on the image below to access your child’s TTRockstar account. Simply insert their username and password to access the site. If you don’t know this, please speak to your class teacher.


Validating isbn 10 c advice dating sensible
The following function does just that: It removes all characters which are not allowed in a ISBN.
This makes use of Arrow-style function composition.
When the system calculate the check digit for 978168197271 it will come up with 8 as the check digit for that number.
It will compare 8 with 2 and know that a mistake of some sort has been made.
An ISBN-10 control digit is calculated by multiplying each digit with its one-based index and taking the remainder from the integer division by eleven.


For some reason this memoir from a long time ago in a galaxy far away just occurred to me.
I grew up in a small town in Ohio, so small my graduating class was 25 persons. There was a special moment I had, back there in the pre-computer, pre-social media days. Our math teacher set up some advanced math classes for a few of us, maybe 6 people out of my senior class (or was it junior?), and we got exposed to things like different bases for numbers (our decimal system is "base 10", binary "base 2", but you can have whatever you want), some precalculus, some plane and spherical geometry. We just worked our way through the material, wherever it went.
In the latter part of the school year we took a test run by the GTCTM, the Greater Toledo Council of Teachers of Mathematics. I came in second out of that whole area. I never knew how many students took the test, but keep in mind this was advanced math, nerdville.
So I went to Toledo, received my recognition and a prize of a slide rule, a very fancy one (made by Keuffel & Esser as I recall). I had no idea what it was for, but when I went to college in those precalculator days had plenty of use for it later. I still have it somewhere.
I felt the honor of this, but it seems like it should have been a bigger deal to me, this small town guy besting out a lot of math students in the Toledo area (except one). At that time I suppose that there just wasn't such an interest in math (and maybe there still isn't).
A sad addendum
I found my slide rule, but it became immediately apparent that the case had gotten wet, since inside parts were rusted, and in particular, the slide with the hairline had become detached, and as far as I can tell can't be restored.


On the Stress State of the Semi-Strip with a Longitudinal Crack
The stress state of the elastic semi-strip is investigated in the paper. The lateral sides of the semi-strip are fixed and the semi-strip’s short edge is under the mechanical load. The longitudinal crack is located inside the semi-strip. The problem is reduced to the one-dimensional problem with the help of Fourier sin-, cos- transformation, which was applied directly to the Lame’s equilibrium equations and the boundary conditions. The one-dimensional problem is formulated is a vector form. Its solution is constructed with the help of the matrix differential calculation and the Green matrix-function, which was constructed in the bilinear form. The solution of the problem is reduced to the solving of three singular integral equations. The first equation in this system contains two fixed singularities in its kernel. To consider them the corresponding transcendental equation is constructed, and its roots are found. The special generalized method is applied to solve the system of singular integral equations. The stress intensity factors are calculated.
Copyright (c) 2018 Natalya Vaysfeld, Zinaida Zhuravlova
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright of their work, with first publication rights granted to Tech Reviews Ltd.


USCB mathematics professor selected as Fulbright recipient
University of South Carolina Beaufort professor and chair of mathematics Manuel J. (Bud) Sanders has been selected for a Fulbright U.S. Scholar Program to conduct research in Finland for the 2017-18 academic year.
The Fulbright Program is an international educational exchange program designed to “increase mutual understanding between the people of the United States and the people of other countries.”
Through this program, Sanders will be using his Teaching Research Award to study mathematical competency at Tampere University of Technology in Finland.
Sanders’ goal through his research program, entitled “Mathematical Competency in STEM: Preparing the Researchers of Tomorrow,” is to improve the undergraduate learning process for students in scientific disciplines at USCB.
“I want our students to be prepared as they continue into graduate school or go directly into industry,” Sanders said.
The research component of Sanders’ program will focus on understanding specific examples used in the training of scientists, along with how mathematical content is delivered to students going into a wide variety of areas.
Sanders wants to further understand quantum computing and the kind of background students who are going into this area have in mathematics.


It’s a well know fact, that while gambling, players usually make use of different playing strategies. And as we know, if there is a good demand, then it will be an extensive proposal.
So, among these proffers the “Labouchere strategy” is.
The game system Labouchere, sometimes called the “strikeout system”, can be used in several variants. The choice between them depends on the type of roulette and the difference between the rate size.
The simplest form is to write a number sequence, both ordered and chaotic. Its length can vary considerably, but in most cases it is short.
The game system considers each number in sequence, as the equivalent of the bet or the number of counters. With an ordered sequence from 1 to 8, the bet size is determined as the sum of the first and last numbers – 1 + 8 = 9. If you win from this sequence, the first and last numbers are eliminated, making the numbers 2 and 7 extreme. Then the game continues with this algorithm and starts again after deleting all numbers in the sequence.
In the event of a loss, this strategy suggests adding the sequence with the following number. It means, if the last number was 9 when losing, then the sequence must be supplemented with the number 10. In this case, the rate size will be 11, since 1 + 10 = 11. This is the main principle of this strategy.
The Labouchere system exists in other variants, which don’t differ much . The popularity is due to the ability of providing a sufficiently long series of wins.


DiPrete Engineering is proud to participate in this year’s MathCounts competition, a middle school coaching and competitive mathematics program that supports the next generation of engineers.
The MathCounts competition consists of students from 28 local middle and junior high schools who compete in four rounds of math problem-solving questions to earn a spot at the Raytheon MathCounts National Competition in Washington, D.C.
Over the years, DiPrete has participated in the coordination and scoring of the competition. In 2014, Eric Prive, Project Manager at DiPrete, traveled to Walt Disney World to handle the official scoring at the National Competition.
This year, Eric has taken on the role of Assistant State Coordinator for Rhode Island and will be proctoring the competition alongside DiPrete Vice President Chris Duhamel.
“MathCounts is a great way to get students excited about math and its related fields through friendly competition,” said Chris.
“By participating in MathCounts, we can show Rhode Island students that their current achievements can lead to a successful future in engineering,” added Eric. “It’s great to see the passion these kids hold toward math and its related fields and we are honored to be a part of this annual competition.”
To learn more about MathCounts and how you can participate, visit: https://www.mathcounts.org/


Delivering customer success since 1981
complex image equations automatically converted to MathML
improved equation discoverability for end users
“Go where your organization has not gone before with automated machine learning solutions to complex data problems.
Our methodology combined with new AI techniques provide capabilities that were previously impossible just a few years ago!”
-Tammy Bilitzky, CIO, DCL
Supervised Machine Learning
A Deep Learning System to Transform Images Into Markup
Keywords: machine learning, datasets, Artificial Intelligence, natural language processing
Complex equations are challenging to typeset for print or digital publications. Many organizations revert to setting images in common graphic applications such as Illustrator or Photoshop. While the resulting equation is accurate to the human eye, computers and systems are not capable of understanding the meaning behind the image. Further, equations set as images are not accessible to the visually impaired.
DCL created training data that leveraged decades of XML content creation. Using highly varied content, approximately 100K images were extracted, correlated with matching XML markup, and visually verified, using a custom DCL verification tool. DCL engineers selected the Harvard image-to-markup framework, designed to recognize mathematical equations, and applied a statistical model to transform images of equations to LaTex markup. The equations comprised complex display math and inline math equations. Next, DCL trained the image-to-markup statistical model with the verified training data. After extensive training, DCL raised the equation transformation accuracy from 4% to 70%.
The resulting training model employs a convolutional network (feature recognition) for text and layout, with an attention-based neural machine translation system. DCL employs this model to transform images in complex technical journal manuscripts to LaTex math. Converting LaTex math to MathML was also completed, enabling the mathematical equations to be fully discoverable as well as accessible for the visually impaired.
Following are some examples of the original equation images along with the AI-predicted image:


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the proof of Lemma B. ). av J Ulén · Citerat av 3 — proving the implementation, performing experiments and comparing the method to the state Using this lemma it will be shown that some proposals are easy to fuse. tion on Cine Magnetic Resonance Images using GVF-Snake Deformable. Some kind of drug; Candy lunch; Walking proof; Drawl; Brightest star; Never play guitar; Move; Scream. Trinity lane-plattan var bra, men det evidence of people in Iceland who were interested in literature and of their networks at a singularis som lemma.
cokernel f 3 ! 0: Proof. The key is dening the map from kernel f 3 to cokernel f 1 . CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We generalize the notion of an exact category and introduce weakly exact categories. A proof of the snake lemma in this general setting is given.
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Then by elementary diagram chasing, we get the following elements of the respective objects (circled numbers represent order of deduction): a 6 → 7 b 3 → c → 0 2 ↓ f 1 ↓ f 2 ↓ f 3 ↓ f 4 a 5 ′ → b 4 ′ → 0 → 0 1 . The proof of the standard version of the snake lemma go es through. Corollary 2 (Ring Lemma) . Let α : A − → B and β : B − → C b e homomorphisms;
The snake lemma result says that ker S0 T ˇker 0 0 T (for snot a negative integer) That is, unless sis a negative integer, the solution v s 2V to the di erential equation extends, and extends uniquely to a solution u s in S0. [3.0.1] Remark: The gamma function can be rewritten ( s) = Z 1 0 ts e t dt t = 2 Z R t2s e t2 dt jtj = u 2s 2e t2
is a commutative diagram with exact rows, then the snake lemma can be applied twice, to the "front" and to the "back", yielding two long exact sequences; these are related by a commutative diagram of the form In popular culture The proof of the snake lemma is being taught by Jill Clayburgh at the very beginning of the 1980 film It's My Turn.
The Snake Lemma, fundamental in producing long exact sequences in homology or cohomology theories based on an abelian category, is shown to have a proof formally identical to the familiar one involving abelian groups when the category either has enough projectives or enough injectives. Context Diagram chasing lemmas. diagram chasing in homological algebra. salamander lemma ⇒ \Rightarrow.
Snake Lemma, fundamental in producing long exact sequences in homology or cohomology theories based on an abelian category, is shown to have a proof
The Snake Lemma. The snake lemma is one of the fundamental tools allowing one to relate properties of two short exact sequences and their homologies. 19 Jun 2012 The snake lemma is valid in every abelian category and is a crucial tool The proof of the snake lemma is being taught by Jill Clayburgh at the
A short exact sequence of chain complexes induces a long exact sequence of homology modules. Proof. This is a double application of the snake lemma.
Snake lemma demonstration from the 1980's film, It's My Turn, starring Jill Clayburgh and Michael Douglas. To start, we recall the snake lemma as proved by D. Bourn in . Deﬁnition 2.2 A morphism α: A → A 0 in A is proper if it admits a cokernel c α and the factorization α of α along the kernel of c α is a regular epimorphism The proof of the standard version of the snake lemma go es through. Corollary 2 (Ring Lemma) . Let α : A − → B and β : B − → C b e homomorphisms; We sketch enough of the theory of abelian groups to state and prove a well known result called the snake lemma.
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[2.0.1] Proposition: Let A, B, Cbe R-modules over a (not necessarily commutative) C-algebra R. This is a particularly fun and relaxing method of proof, since it is basically impossible to go wrong (i.e. if the proof doesn't work, the theorem is false.) Fun fact: After a hard day's work, many mathematicians like to open up the fridge, grab a beer, then kick back and chill on the sofa while diagram chasing. 🤓 Buyer’s Guide: Best Hiking Snake Proof Chaps (2021) Before venturing on expeditions in a snake-laden area, it is better to be fully shielded to avoid any painful experience. While market is bustling from a wide range of snake chaps, not all products are fabricated from the best materials or even tested on live snakes. A proof of the snake lemma in this general setting is give n. Some applications are given to illustrate how one c an do homological algebra in a weakly exact category . The proof is completed.
19 Jun 2012 The snake lemma is valid in every abelian category and is a crucial tool The proof of the snake lemma is being taught by Jill Clayburgh at the A short exact sequence of chain complexes induces a long exact sequence of homology modules. Proof. This is a double application of the snake lemma. A lecture on the Snake lemma in homological algebra in which a student movie thumb. Stand and Deliver, Giggolo · movie thumb.


Middle school is a tricky time for students, both socially and academically. Math classes often prove especially challenging for many middle schoolers. In my experience as a tutor I have helped several adolescents through this transition, and have come up with 5 helpful hints for excelling in middle school math:
Math in elementary school is a lot different from math in middle school. Before starting middle school, sit down with your student and talk with them about how math is going to be different for them. I’ve found that going over the syllabus before class begins can be quite helpful for students. Giving students a preview of the middle school math can help them mentally prepare for this transition.
This is so important! Teach your student good academic habits at a young age, and help them continue to use them throughout their academic career. The earlier your student can learn good study habits, the better.
Middle school math is essentially an introductory course with many different components. Though all these components are connected, it may be hard for your student to see how all this information fits together. Sit down with your student and create an organizational system so that they can better understand the material. I have found with my students that consistently color-coding math concepts helps them to better understand and remember the content.
Of course different students learn differently. But the one thing that all students have in common is that the more they practice their math, the better their results will be.
Help your student feel confident about the content that they know, positive encouragement in middle school math helps students to lower their anxiety, which improves their performance. If your student is struggling with material, have them go talk with their teacher or work with a tutor at Inizian. I have found that working one-on-one with students greatly improves their academic outcomes, especially in middle school math.


Exact Gravity Duals for Simple Quantum Circuits
Holographic complexity proposals have sparked interest in quantifying the cost of state preparation in quantum field theories and its possible dual gravitational manifestations. The most basic ingredient in defining complexity is the notion of a class of circuits that, when acting on a given reference state, all produce a desired target state. In the present work we build on studies of circuits performing local conformal transformations in general two-dimensional conformal field theories and construct the exact gravity dual to such circuits. In our approach to holographic complexity, the gravity dual to the optimal circuit is the one that minimizes an externally chosen cost assigned to each circuit. Our results provide a basis for studying exact gravity duals to circuit costs from first principles.


Radius Measurement Instructions
Using a carpenter's square:
The Radius of your hot tub is the distance from the place where the square touches the hot tub before it starts curbing.
Note: You may want to consider a slightly smaller radius, with a smaller radius due to the change in the curve it may extend the cover of the spa out further past the corner of your hot tub. For example: 1/2" less radius extends the hot tub cover 1/4" further.
If you don't you don't have a carpenter's square handy:
Using pieces of wood, cardboard or essentially anything with a straight edge, measure the distance for your hot tub's radius with a ruler or a tape measure.
You can also print our our Corner Radius Measurement Guide here: Corner Radius Measurement Guide


Through detailed explanations and an authoritative and inspiring writing style, rajendra bhatia carefully develops general techniques that have wide applications. Matrix analysis by roger a horn download pdfepub ebook. Positive definite matrices and the sdivergence suvrit sra communicated by abstract. It turns out that a matrix is positive definite if and only if all these determinants are positive. Suppose t is the product of three positive semidefinite matrices. Positive definite matrices request pdf researchgate. A matrix is positive definite fxtax ofor all vectors x 0. New properties for certain positive semidefinite matrices. A positive semidefinite matrix is positive definite if and only if it is invertible. Positive definite matrices, bures distance, wasserstein metric. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. Acknowledgement i would like to thank the referees for their helpful comments. This condition is known as sylvesters criterion, and provides an efficient test of positive definiteness of a symmetric real matrix.
Positive definite matrices princeton series in applied mathematics. Positive definite matrices by bhatia, rajendra ebook. Positive definite matrices by rajendra bhatia overdrive. Inequalities for the wasserstein mean of positive definite. Currently my problem has a sample of 4600 observation vectors and 24 dimen.
Note that the authors in 11, proposition 1 claimed a similar result, but there is a serious gap in the proof, which lies in 11, lemma 2. The inner product between two vectors x and y is written as hx,yi or as x. If all of the subdeterminants of a are positive determinants of the k by k matrices in the upper left corner of a, where 1. Inequalities of the wasserstein mean with other matrix means. Alex linley and stephen joseph 8,750 230 5mb read more. Elsner published positive definite matrices by rajendra bhatia find, read and cite all the research you need on researchgate. Recently, a new riemannian metric and a least squares mean of positive definite matrices have been introduced. Holbrook as the solution of the long standing problem of defining an appropriate geometric mean of several positive definite matrices, and has since then been an object of intense study. The riemannian mean of positive matrices lixpolytechnique. Frequently in physics the energy of a system in state x is represented as. This will serve as a warmup and orient the reader to the line of thinking followed through the book.
Namely, the matrix is reduced to an upper triangular matrix by using elementary row operations, as in the first part of the gaussian elimination me. We are interested in positive semidefinite matrices partitioned into 2. The riemannian manifold p n, g of symmetric positive definite real matrices endowed with the trace metric has been object of interest in many frameworks, for instance in theory of metric spaces. In this paper we find relationships of the wasserstein mean with other matrix means such as the power means, harmonic mean, and karcher.
Positive definite functions and operator inequalities. They are called the bureswasserstein metric and wasserstein mean, which are different from the riemannian trace metric and karcher mean. Positive definite matrices isbn 9780691129181 pdf epub. He has served on the editorial boards of several major international journals such as linear algebra and its applications, and the siam journal on matrix analysis and applications. Weighted means and karcher equations of positive operators. Inequalities of the wasserstein mean with other matrix. In fact, restricting positive definite to apply only to symmetric matrices means that we can say that a matrix is positive definite if and only if all its eigenvalues are positive. Products of positive semidefinite matrices sciencedirect. Geometryaware principal component analysis for symmetric. Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry all built around the. Rajendra bhatia founded the series texts and readings in mathematics in 1992 and the series culture and history of mathematics on the history of indian mathematics. The manifold view is endowed with a geodesically convex distance function but the convex view is not. If all of the subdeterminants of a are positive determinants of the k by k matrices in the upper left corner of a. Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry all built around the central theme of positive definite matrices.
Ashoka university, sonepat, haryana 1029, india rajendra. We say that ais positive semide nite if, for any vector xwith real components, the dot product of axand xis nonnegative, hax. Request pdf positive definite matrices this book represents the first. Positive definite matrices princeton series in applied. On a question of bhatia and kittaneh sciencedirect. This book represents the first synthesis of the considerable body of new research into positive definite matrices. Davis, more matrix forms of the arithmeticgeometric mean inequality, siam j. The image on the left is courtesy of bernardbrunel and dumont swelling effect by arsigny et al. Dec 23, 2016 we construct several examples of positive definite functions, and use the positive definite matrices arising from them to derive several inequalities for norms of operators. You can publish your own pdf file online for free in a few minutes. When computing the covariance matrix of a sample, is one then guaranteed to get a symmetric and positivedefinite matrix.
Positive definite matrices by rajendra bhatia, 2007 online. Download it once and read it on your kindle device, pc, phones or tablets. Use features like bookmarks, note taking and highlighting while reading positive definite matrices princeton series in applied mathematics book 24. Therefore it need a free signup process to obtain the book. If a is negative semide nite and has rank m n then there is an m n matrix of rank m such that a s0s. Bhatia, positive definite matrices, princeton university press, princeton, 2006. Bhatia, positive definite matrices, princeton university press, 2007. Forget symmetric, skewsymmetric, ihermitian, skewhermitian all such matrices. Positive definite matrices rajendra bhatia download. The theory of positive definite matrices, positive definite functions, and positive linear maps is rich in content. If it available for your country it will shown as book reader and user fully subscribe. Positive definite matrices by rajendra bhatia, 2007. Rajendra bhatia born 1952 is an indian mathematician, author.
In this paper we find relationships of the wasserstein mean with other matrix means such as the power means, harmonic mean, and karcher mean. Elsner and others published positive definite matrices by rajendra bhatia find, read and cite all the research you need on. Kittaneh, on the singular values of a product of operators, siam j. In geometric terms, the condition of positive semide niteness says that, for every x, the angle between xand axdoes not exceed. Rajendra bhatia princeton university press princeton and oxford iv. Positive definite matrices by rajendra bhatia request pdf. Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometryall built around the central theme of positive definite matrices. Pdf a schurhorn theorem for symplectic eigenvalues.
On the bureswasserstein distance between positive definite matrices. This statement would not be true if positive definite matrices were allowed to be nonsymmetric. In the right plot, the mesh represents the border of the cone of positive semide. Welcome,you are looking at books for reading, the matrix analysis by roger a horn, you will able to read or download in pdf or epub books and notice some of author may have lock the live reading for some of country. Positive definite matrices princeton series in applied mathematics book 24 kindle edition by bhatia, rajendra. Recent work in the study of the geometric mean of positive definite matrices has. Positive definite matrices princeton university press. Sep 01, 2015 bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometryall built around the central theme of positive definite matrices. In every answer matrices are considered as either symmetric or positive definite. Approximation problems in the riemannian metric on positive definite matrices.
When interpreting as the output of an operator, that is acting on an input, the property of positive definiteness implies that the output always has a positive inner product with the input, as. The thing about positive definite matrices is xtax is always positive, for any nonzerovector x, not just for an eigenvector. Positive definite and positive semidefinite matrices. Positive semidefinite 3 x 3 block matrices pdf paperity. Positive definite matrices by rajendra bhatia books on. Positive definite and positive semidefinite matrices let abe a matrix with real entries. Product of any two arbitrary positive definite matrices is. It offers many beautiful theorems that are simple and yet striking in their formulation, uncomplicated and yet ingenious in their proof, diverse as well as powerful in their application.1181 767 202 2 814 648 658 1173 456 1056 603 52 103 85 806 24 426 1469 985 492 194 875 1223 1234 1533 900 898 883 1208 524 1318 297 1059 575 97 264 1487 1097 1445 300 31 819 956 680 1160 543


These 10-deg colour matching functions are linear transformations of the 10-deg cone fundamentals of Stockman & Sharpe (2000), ratified by the CIE (2006) as the new “physiologically-relevant” fundamental CIE CMFs. The transformation produces a form similar to the CIE 1964 , and CMFs, a form still favoured by many engineers and scientists.
where , and are the Stockman & Sharpe (2000) or CIE (2006) 10-deg cone fundamentals tabulated here.
The derivation of this transformation is straightforward. The CMF is the luminous efficiency function originally proposed by Sharpe et al. (2005), but then corrected (Sharpe et al., 2011). The CMFs in the cone fundamental originally proposed by Stockman, Sharpe & Fach (1999) scaled to have an equal integral to the CMF for an equal energy white. The definition of the CMF owes much to the efforts of Jan Henrik Wold. Its derivation depends on the following requirements:
1. Like the other CMFs, the values of are all positive.
2. The integral of for an equal energy white is identical to the integrals for and .
3. The coefficients of the transformation that yields are optimized to minimize the Euclidian differences between the resulting , and chromaticity coordinates and the CIE 1964 , and chromaticity coordinates.
Following the usual convention, , and are given in units of energy.
The proposed CIE standard is also much concerned about defining the precision of the CMFs. Thus, the coefficients of the transformation are defined to 8 decimal places (as in the equations above), the results in linear (energy) units are tabulated to 7 significant figures, and the CMFs are calculated from the cone fundamentals given in linear (energy) units to 9 sf given here. In addition, the standard is strictly only for the CMFs tabulated at 1-nm steps, since only at this step-size are the integrals of the three CMFs precisely equal.
The functions are provided here at 0.1, 1 and 5 nm steps.
Please note that these are proposals that have yet to be ratified by the full TC 1-36 committee or the CIE.
CIE Proceedings (1964) Vienna Session, 1963, Vol. B, pp. 209-220 (Committee Report E-1.4.1), Bureau Central de la CIE, Paris
Stockman, A., Sharpe, L. T., & Fach, C. C. (1999). The spectral sensitivity of the human short-wavelength cones. Vision Research, 39, 2901-2927.
Stockman, A., & Sharpe, L. T. (2000). Spectral sensitivities of the middle- and long-wavelength sensitive cones derived from measurements in observers of known genotype. Vision Research, 40, 1711-1737.
Sharpe, L. T., Stockman, A., Jagla, W. & Jägle, H.(2005). A luminous efficiency function, V*(λ), for daylight adaptation. Journal of Vision, 5, 948-968.
CIE (2006). Fundamental chromaticity diagram with physiological axes. Parts 1 and 2. Technical Report 170-1. Vienna: Central Bureau of the Commission Internationale de l' Éclairage.
Sharpe, L. T., Stockman, A., Jagla, W. & Jägle, H. (2011). "A luminous efficiency function, V*(λ), for daylight adaptation: a correction." Color Research & Application, 36, 42-46.


On April 17, Governor Pritzker announced that he is suspending in-person learning for all Illinois schools for the remainder of the 2019-2020 school year. Please visit the remote learning page below for more information. Returning Student Online Registration is now open
First grade is quite an exciting place to be! We love to learn to read and write with details, practice addition and subtraction in math, explore being an engineer in science, and be a community member in social studies.
Friendship, respect and responsibility are also important topics that are woven throughout each school day. First graders learn through multiple opportunities that promote and enhance different learning styles.
St. Charles Community Unit School District 303


Presented by: Quang Nguyen
Background: High-dimensionality and sparsity are challenging problems in statistical analysis of microbiome relative abundance data. One approach is to aggregate taxa to sets, most commonly to Linnean taxonomic categories identified through classification of representative sequences. However, most researchers perform aggregation through the pairwise summation of counts, preventing comparison across sets of different sizes.
Methods: We developed a taxa set enrichment method based on the isometric log-ratio transformation (cILR) for microbiome relative abundance data. Our method generates sample-specific taxa set enrichment scores with a well-defined null hypothesis corresponding to the Q2 competitive null hypothesis in the gene set testing literature. Significance testing was performed by estimating the empirical null distribution accounting for variance inflation due to inter-taxa correlation.
Results: Here we demonstrated the performance of our method using both real data and parametric simulations for multiple microbiome analysis tasks, which are: single sample enrichment testing, differential abundance testing, and disease prediction.
Conclusions: The cILR method provides a flexible way to aggregate taxonomic variables to pre-defined sets, allowing for a comparison of enrichment across sets of different sizes. The statistic corresponds to a well-defined null hypothesis and is designed to address the compositional nature of microbiome data.
Quang Nguyen – Poster Description (Audio Clip)
If you have any questions regarding the poster, feel free to reach out to Quang Nguyen here.


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Not what you mean? Use parentheses! Set differentiation variable and order in "Options".
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How the Derivative Calculator Works
For those with a technical background, the following section explains how the Derivative Calculator works.
First, a parser analyzes the mathematical function. It transforms it into a form that is better understandable by a computer, namely a tree (see figure below). In doing this, the Derivative Calculator has to respect the order of operations. A specialty in mathematical expressions is that the multiplication sign can be left out sometimes, for example we write "5x" instead of "5*x". The Derivative Calculator has to detect these cases and insert the multiplication sign.
When the "Go!" button is clicked, the Derivative Calculator sends the mathematical function and the settings (differentiation variable and order) to the server, where it is analyzed again. This time, the function gets transformed into a form that can be understood by the computer algebra system Maxima.
Maxima takes care of actually computing the derivative of the mathematical function. Like any computer algebra system, it applies a number of rules to simplify the function and calculate the derivatives according to the commonly known differentiation rules. Maxima's output is transformed to LaTeX again and is then presented to the user.
The "Check answer" feature has to solve the difficult task of determining whether two mathematical expressions are equivalent. Their difference is computed and simplified as far as possible using Maxima. For example, this involves writing trigonometric/hyperbolic functions in their exponential forms. If it can be shown that the difference simplifies to zero, the task is solved. Otherwise, a probabilistic algorithm is applied that evaluates and compares both functions at randomly chosen places.
If you have any questions or ideas for improvements to the Derivative Calculator, don't hesitate to write me an e-mail.


Equiangular Spiral. Rotation
Coxeter wrote about the Equiangular Spiral (Logarithmic Spiral):
"This curve was first recognized by Descartes. Jacob Bernouilli found it so fascinating that he arranged to have it engraved on his tombstone with the inscription
These words (which E.T. Bell translates as "Though changed I shall arise the same") express a remarkable consequence of the way the curve can be shifted along itself by a dilative rotation: any dilatation has the same effect on it as a rotation, and vice versa." (Coxeter, p. 125)
Coxeter said that Steinhaus describes this property as an optical illusion: "If we turn the book about the vertex, the spiral seems to grow larger or smaller. Two spirals having the same constant angle with the radii are congruent." (Steinhaus, p. 132). Steinhaus wrote about the relation between Logarithmic Spirals and pursuing paths.
Using position vectors you can change the spiral.
This is another example of equiangular spiral.
Coxeter - Introduction to Geometry (John Whiley and sons)
Hugo Steinhaus, Mathematical Snapshots, Dover Publications (third edition, 1999)
We can read some pages of this book in Google Books: Mathematical Snapshots by Hugo Steinhaus.
D'Arcy Thompson - On Growth and Form. (Cambridge University Press)


The first tables to give the equation of time in an essentially correct way were published in by Christiaan Huygens. Geometric Vectors in 3D are still directed line segments, but in the xyz-plane.
And if you calculate this, take your 6 minus negative 3, that's the same thing as 6 plus 3, that is 9. Now what is the change in y.
In two dimensions, we worked with a slope of the line and a point on the line or the y-intercept. Geometric Vectors in 3D are still directed line segments, but in the xyz-plane.
During a year the equation of time varies as shown on the graph; its change from one year to the next is slight. This is also called the normal vector. Applications of Vectors Vectors are extremely important in many applications of science and engineering.
Express the velocity of the plane as a vector. These calculated the mean time, albeit local to a point of longitude.
When good mechanical clocks were introduced, they agreed with sundials only near four dates each year, so the equation of time was used to "correct" their readings to obtain sundial time. This can be written as 1,35 In the third year, there were 57 participants.
And then standard form is the form ax plus by is equal to c, where these are just two numbers, essentially. Also note that to go from the last equation to the first equation, we have to set each to t, and solve back for x, y, and z. We saw a similar concept of this when we were working with bearings here in the Law of Sines and Cosines, and Areas of Triangles section.
Things to try The simplest case. The primary Imatest MTF calculation is the slanted-edge, which uses a mathematical operation known as the Fourier transform.
The algorithm is described in detail here. Remember that for a 2 by 2 matrix, we get the determinant this way: We have three different ways to write this 3D line using parametric equations:.
Explore math with sgtraslochi.com, a free online graphing calculator.
Learn why the Common Core is important for your child. What parents should know; Myths vs. facts. Click on Submit (the arrow to the right of the problem) and scroll down to “Find the Angle Between the Vectors” to solve this problem. You can also type in more problems, or click on the 3 dots in the upper right hand corner to drill down for example problems.
The formulas for the other functions aren’t needed very often, but when you do need them they drop right out of the definitions in equation 3 and equation 5, plus the. According to the Bible, God killed or authorized the killings of up to 25 million people.
This is the God of which Jesus was an integral part. The question is asking to choose among the following choices that states the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6, base on my calculation and further analysis, I would say that the answer would be y=-3/2x+8.
I hope you are .Write an equation in standard form of the line that passes


Johnella George, like many of her classmates
at Andrew Jackson High School, seemed destined for failure.
To graduate, Johnella and her classmates have to pass first-year
But they entered the Northside school last fall with no
background in a subject that causes many students' brains to go on
Moreover, a high percentage had scored 22 points below the
national average in math on a standardized basic skills test, said
Jackson principal Jack Shanklin.
It wasn't a formula for success, and it had Jackson's
So they targeted about 250 students who were at risk of dropping
out of school because of attendance problems, poor test scores and
being overage. Then they set up a tutoring program with the help of
modern technology - the computer.
Algebra on the computer?
You bet. The students spend 90 minutes one day in a traditional
algebra class and 90 minutes the next day in computer labs.
The program, known as graduation enhancement, is showing such
potential that it was cited by the SchoolMatch site team, which
visited various Duval County public schools in May, as the type
needed to get low-achieving students back on track.
If need be, the students go back to an elementary math level -
fractions, decimals and so forth - to build up their skills, said
Jeff Corwin, one of three lab teachers.
Lab and algebra teachers work closely together so that lab work
mirrors classroom work.
''What they get in the lab reinforces what they get in the
classroom,'' said algebra teacher Doug Wheeler. ''We've slowed the
That means students have two days to grasp an algebraic concept
before a new one is introduced and two days to do their homework.
For these students, going from basic math to algebra with no
preparation is a big jump, school officials said.
George, for one, recalled how baffled she was when first
introduced to algebra. The 15-year-old said she wondered why letters
such as X and Y were being used in a subject dealing with numbers.
They might as well have been Mandarin Chinese to her.
''Once I caught on, it got easier,'' said George, who came to
Jackson from Matthew Gilbert Middle School. ''Last year, I didn't
like math. Now I've got this computer class, and the teachers are
helping me and I like math better.''
On a recent morning, George was sitting in front of her computer
working on a mileage chart problem. Positive numbers denoted
easterly direction and negative, westerly. She had four choices.
When she made her selection, the computer signaled whether she had
chosen the correct answer. An incorrect one meant she had to figure
out what she was doing wrong.
But her grades reflect the fact she's increasingly making the
right choice. She made D's and F's in math at Gilbert. This year,
her grades have been mainly B's and C's.
Indeed, she's now eager to explain the role of X and Y in
Last year, Duval County tightened its academic standards,
requiring George's class, the Class of 2000, to pass first-year
algebra and geometry to graduate. In the past, students had only to
pass lower-level courses such as consumer math.
Jackson is on block scheduling, a system that transforms a school
day from seven 50-minute classes to four 90-minute sessions. That
enables an entire course to be taught each semester giving students
the opportunity to earn eight credits in an academic year rather
than seven under traditional scheduling.
Thus, at-risk students are in the program for 36 weeks, earning
both a math credit and an elective computer credit. The regular
algebra class lasts 18 weeks with no computer lab.
''Usually we let students fail and then try to help them,''
Wheeler said. ''Now we're trying to help them before they fail. I
really feel that only 10 to 15 percent of these kids would have
passed if thrown into a regular classroom situation.''
Next year, the majority will take liberal arts math, which will
reinforce what they learned in first-year algebra and introduce them
While too early to gauge its success, there are several factors
that indicate the program is working, school officials said. Their
grades improved as their lessons got harder, Wheeler said. For
instance, during the fourth nine weeks, some of his students with
C's, D's and F's at the beginning of the year were making A's.
He estimated that half the class will pass. Still the program is
not a panacea. Absenteeism remains a major problem.
''Our failures in the program are because kids are missing too
many days,'' Wheeler said. ''I would say that only 10 to 15 are
really trying and failing because they don't understand it.''
There are other benefits to the program as well, Shanklin said.
Because math requires reading, it's helping to build their reading
level and it's exposing them to computers, he said.
Moreover, it's playing a secondary role of helping get them
prepared for the all-important high school competency test, which
they will take for the first time as juniors. They also must pass
that test to graduate.
''We're trying to develop their skills in their first two years
of high school,'' Shanklin said. ''Once we get them through these
hurdles, we know they'll be well on their way to graduating.''


2 edition of Adventure mathematics found in the catalog.
R. F. Charlton
|Statement||by R.F. Charlton and R.G. Russell. Pupils" book 2.|
|Contributions||Russell, R. G.|
Download Mathematics (Academic) Books for FREE. All formats available for PC, Mac, eBook Readers and other mobile devices. Large selection and many more categories to choose from. Though elementary in nature, this book deals with fundamental issues in mathematics number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were Price: $
Math is a game, playing with ideas. My Let's Play Math blog is about the ongoing adventure of learning, teaching, and playing around with mathematics from preschool to precalculus. Want to help your kids learn math? Claim your free page problem-solving booklet, and sign up to hear about my new books and other promotions. The 7th grade Math teacher in my school read this to her 7th graders last weeek, and I had to check it out. Like Sir Cumference and the Dragon of Pi and the other books in that series, the narratives helps you truly understand the Pythagorean Theorum. I had memorized it and never quite understood how it would be useful in real life or how it really works/5(48).
Books that teach math, language arts, reading comprehension, science, and social studies to elementary school students through humorous fiction, including books aligned to the new Common Core State Standards. A Math Adventure by. Cindy Neuschwander. avg rating — 3, ratings. The learning of math became more dynamic than solving 25 problems on a page as they came to see that math is a beautiful, discoverable, and exciting field to study. After reading the novel, it was time to begin the writing process, which presented the challenge of negotiating decisions about story direction and writing craft among 25 sixth graders.
Categories and variables in special education
Posts and telephones
Issues in theatre
The Samaritan and Syriack alphabets
Principles of electronic circuits
A demographic analysis of first marriages in England and Wales, 1950-1980
Modern world movements
Fine French and continental furniture, decorations, ceramics and carpets
The 2000 Import and Export Market for Internal Combustion Piston Engines and Parts in United Kingdom
Base flow of 10 south-shore streams, Long Island, New York, 1976-85, and the effects of urbanization on base flow and flow duration
Individual preferences, choices, and risk perceptions
American folk painting
David Acheson, Emeritus Fellow, Jesus College, University of Oxford David Acheson is a British applied mathematician, best known for his popular maths book and All That (OUP, ), which has been translated into 11 languages.
He is an Emeritus Fellow of Jesus College, Oxford, and was Oxford University's first winner of a National Teaching Fellowship, in /5(). Adventures in Mathematics has been added to your Cart Add to Cart. Buy Now See all 2 formats and editions Hide other formats and editions.
Price New from Used from Paperback "Please retry" $ $ $ Paperback $ 5 Used from $ 1 New from $ Cited by: 2. A Mathematical Adventure, the student authors take the reader along on their adventure of discovery of Fourier's wave analysis, creating a work that gradually moves from basics to the more complicated mathematics of trigonometry, exponentiation, differentiation, and integration/5(20).
Adventure Time Mathematical Edition Vol. 1 Adventure mathematics book. Read reviews from the world's largest community for readers. It's ADVENTURE TIME. Join Finn the Huma /5(). Her math calendars and over 18 math books appeal to both young and adult audiences alike.
Three of her books have been Book-of-the Month Club selections, and her Joy of Mathematics was selected as a Pick of the Paperbacks. Her books have been translated into Japanese, Finnish, French, Slovakian, Czech, Korean, Turkish, Russian, Thai, simplified /5(65).
The Three Musketeers, by Alexandre Dumas You can’t really discuss adventure stories without bringing Dumas into the conversation.
His novels are still the gold standard when it comes to stories centered on a sense of esprit de corps and the origin of the idea people with a particular set of skills Adventure mathematics book not be mistreated.
The story begins with aspiring Musketeer d’Artagnan offending. Go on an adventure in the original version of Math Quest. Answer math facts to defeat enemies. Save the king from the Negative Knights.
Math Adventure Game for Kids Skills: Basic Facts, Problem Solving, Reading Comprehension Help save King Mathius and the Kingdom of. Book Adventure is an interactive reading assessment, management, and rewards Adventure is much more than just + book quizzes.
Since not all students learn the same, Book Adventure strives to be inclusive of the different student learning styles and offers a variety of alternative assessment options for those students who might not be great test-takers. Book fairly new New General Maths for Zimbabwe: New Gen Maths for Zimb Bk3 Ans N/E Paperback by John B.
Channon (Author), A. McLeish Smith (Author), H.C. Head ISBN: 0 8 Comments New General maths 3 O level by emily mungwari. This book is intended to be used by children ages 5 to 6. Other age groups will also benefit from the book. Anyone can use this book globally, although the curriculum may differ slightly from one region to the other.
This is so because the core content of Mathematics is the same around the world. Math Adventures Grade 4: Wizard School Paperback – Ap by Linda Bertola (Editor), Agnese Baruzzi (Illustrator) out of 5 stars 13 ratings. See all formats and editions Hide other formats and editions.
Price New from Used from Paperback, Ap "Please retry" $ $Reviews: When I was a college student, I saw a list of essential math books on a blog. I promised to myself to read all those books in 10 years because there were 50 books.
The book consists of an overview of much of mathematics through what's normally taught in the first ~two years of undergrad, with a few extra bonuses (projective geometry!), but with little to no linear algebra (boo!). The book spends nearly all its time focusing on motivations and ideas, and much less on mechanical details/5(47).
From the creators ofAdventure Academy is the newest educational product from Age of Learning Inc. featuring endless game play. Adventure Academy is an educational product that combines an Elementary School curriculum with an interactive 3D world.
Sign up to buy or get the latest news. Adventure Academy combines an Elementary School curriculum with an interactive 3D world. Adventures: Primary Mathematics – Book 2 comprehensively covers the mathematics concepts taught in Grade 2 (students ages 7 to 8) throughout the Caribbean.
The children are encouraged, through the use of the three monkeys, Max, Mindy and Mikey, to embark on a fun-filled learning adventure that will increase their knowledge and improve their.
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Books shelved as math-adventure: Naive Set Theory by Paul R. Halmos, Math Potatoes: Mind-stretching Brain Food by Greg Tang, Math Fables Too: Making Scie. Welcome to Adventures in Math, a free educational program developed to help teach key math skills while reinforcing the importance of ﬁnancial responsibility.
LESSONS & ACTIVITIES FAMILY RESOURCES DIGITAL LEARNING FEEDBACK SURVEY. Lessons & Activities. Grades K–2 Grades 3–5 Grades 6–8. This book includes 13 math projects that you can use in your classroom, each one tied to the Common Core standards and spanning each grade level.
These projects can be easily modified to meet your teaching styles. Students can engage in any of the projects individually or collaboratively. WELCOME TO ADVENTURE ACADEMY LEARNING PROGRAM FOR KIDS Start your day free trial of Adventure Academy now! Monthly payments available, or get 49% off with an annual subscription.
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With the use of the three monkey characters, Max, Mindy and Mikey, children embark on a fun-filled learning adventure that will increase their knowledge and.Buy interesting and cool books on Mathematics online on Amazon.
Maths: Having fun with numbers. Maths is the discipline dealing with numbers, quantities, addition, subtractions and all mechanized operations that can be done with numbers. The development and scope of mathematics .


Withholding and EIC Tables
The Payroll program uses the government's tax tables to calculate how much tax should be withheld. This calculation depends on the selections made in the employee's Wages/Master Paycheck window.
Every time you pay an employee, the program performs these calculations and divides the annual tax among the employee's pay periods. EIC payments are divided and paid to the employee in each paycheck.
On the Payroll tab, click In the navigation pane, click .Single Withholding Table, Married Withholding Table, or EIC Payments Tables. All of the tables are organized in the same way. Each range of annual income has a fixed amount of tax that is applied to employees who fall in that income range, as well as a percentage applied to the excess.
For example, you have an income range of $28,700 to $62,200 with a fixed amount of tax equal to $3907.50 plus 27% of excess over $28,700. An employee who makes $30,000 falls into that range, so they have a fixed amount of $3907.50 + 27% of $1,300 (the excess), which equals $351. Therefore, the employee's total annual tax is $3907.50 + $351 = $4,258.50.
Withholding and EIC Tables Field Information
The lower limit of the range.
- But Not Over
The upper limit of the range.
- Fixed Amount $
The fixed amount of tax that is withheld.
- Plus %
An additional percentage that is withheld.
- Of Excess Over
Wages above this amount are multiplied by the number in the Plus % column.


We’ve added a page with the odds table for Hold’em outs. You can get to it by clicking on the “Odds” tab at the top of the website. There is also a mobile version at:
To use the table, first figure out how many outs you have. For example, if you have a flush draw after the flop, you have 9 outs. Look for 9 under the “Outs” column and see the percentage in the corresponding rows for the turn and river.
Updated April 2015:
The link above is for mobile users. For the full website version, go here:


Test Prep Tutors in Ferris, TX
Find Private & Affordable Test Prep Tutoring in the Ferris Area!
KNOX COLLEGE - BA, SOCIOLIGY , TAMU-COMMERCE - MED, Secondary Education
University of Arkansas Fayetteville - BA, Communication , Texas A & M University-Commerce - Ms, Elementary education
University of Notre Dame - Bachelor of Arts, Government/Philsophy , SMU Dedman School of Law - Juris Doctor, Law
Florida State University - Bachelors, Biological Sciences
Northwood University - BA, Management , Lamar University - MEd, Educational Administration
Associates Complete - AS, Mathematics , University of Texas, Austin - BA, Applied Mathematics, Biology
Texas Southern University - BS, Biology
Arizona State University - BA, Elementary Education
The University of Texas at Austin - Bachelors, Mathematics
Utah Valley University - Bachelors, Aviation Administration , Arizona State University - Masters, Business Administration - Supply Chain...
Washington University in St. Louis - BS, Philosophy-Neuroscience-Psychology
Rice University - BA, History & English
Stanford University - Bachelors, Human Biology
University of North Texas - Bachelors, Mathematics , Texas A & M University-Commerce - Current Grad Student, Mathematics


Riaz is Head of CQF Faculty and teaches Mathematical Finance, C++ programming and Mathematical Methods based courses.
Riaz is an Applied Mathematician with teaching and research interests in the mathematical and computational aspects of financial derivatives. In particular, stochastic volatility and jump diffusion models, exotic options and interest rate modeling. Currently he is developing interests in Islamic Finance.
At the MSc, MBA and executive education levels, Riaz has lectured in Mathematical Finance at University College London (UCL), Oxford University (Mathematical Institute), Lahore University of Management Sciences (LUMS) and Institute of Business Administration (IBA), Karachi.
He continues to be a visiting faculty member at both LUMS and IBA, in addition to lecturing on a part-time basis in the mathematics department at UCL. Riaz has also facilitated for The London Mathematical Society on their Short Course Scheme for UK based PhD students.
Riaz holds the degrees of BSc., MSc. and PhD in Mathematics from King’s College London, Imperial College London and University College London in turn. His PhD is in theoretical and computational fluid dynamics.
In the past Riaz's academic research has involved applying mathematics, in particular Partial Differential Equations, to model problems in aerodynamics, underwater acoustics, electromagnetics and physiological flows. For the past 12 years Riaz has been fully committed to problems in Quant Finance.
Dr Riaz Ahmad books:


Created by a former elementary school teacher
is a fun and easy to use math learning game.
Mathcard is a concentration-style educational game.
Eighteen cards are dealt to the player in three even rows.
The object of the game is to match all the cards and answer each math problem in the shortest possible time.
The five best scores are retained in a Hall Of Fame.
Currently, Mathcard runs on Windows only.
When the download is complete, run the downloaded file (SETUP.EXE) to install the program.
Mathcard originally was written as a college class project.
Then it was sold for many years as a shareware program.
Now the author offers the full version of this engaging educational math program for free.
When the program asks for an code to unlock the full version, use these values (without quotes):
Mathcard is an excellent educational math learning game for kids and adults.
Mathcard is perfect for elementary school classrooms, home school parents and adult learning settings.