Ohio Valley Christian School seniors gathered for the last time as students before taking their next steps into the world as graduates during their graduation ceremony Saturday afternoon at First Baptist Church and Ohio Valley Christian School. According to information provided by Ohio Valley Christian Administrator Patrick O'Donnell, Katlyn Bradley, OVCS senior, is the daughter of Robert Bradley, Norma and Chris Ellcessor.


Most Popular Stories

A new chapter: OVCS Class of 2017 receives diplomas 
Search for "math OR mathematics"29 May 2017  7:01 pm 
Urban emissions could be cut by seventy per cent
Mathematics News  ScienceDaily29 May 2017  6:00 amA researcher has developed a mathematical model that determines the optimal conditions for sustainable urban distribution. The model can reduce logistical pressure in cities and make goods transport more sustainable. In some cases, it may be possible to reduce emissions in cities by seventy per cent. 
What Does Compactness Really Mean?
Scientific American  Math27 May 2017  12:00 pmIt took me a long time to understand the mysterious mathematical property of compactness  Read more on ScientificAmerican.com 
Math Problem
Mathematics16 May 2017  12:02 amHow long will it take you to figure out a problem that it took this boy less than a second to solve? 
How to win ALL marbles in Mancala on your first move, with MATLAB!
Loren on the Art of MATLAB22 May 2017  7:02 amToday's guest blogger is Anoush Najarian who leads the MATLAB Performance Team at MathWorks. And while she mostly focuses on helping MATLAB run fast, in her spare time, she likes to use MATLAB for hobby projects in robotics, math, and games.ContentsWinning at MancalaThe RulesIs There a FirstPlayer Advantage? (You Bet!)Alternative Rule SetsWhat's Next?Winning at MancalaLet me tell you what happened when I got tired of losing at Mancala, and decided to write some MATLAB code to play it. Shoutout to my daughter, sixth grader Natalie, for introducing me to the game, and being a partner in these…




Search for "math OR mathematics"

A new chapter: OVCS Class of 2017 receives diplomas 
29 May 2017  7:01 pmOhio Valley Christian School seniors gathered for the last time as students before taking their next steps into the world as graduates during their graduation ceremony Saturday afternoon at First Baptist Church and Ohio Valley Christian School. According to information provided by Ohio Valley Christian Administrator Patrick O'Donnell, Katlyn Bradley, OVCS senior, is the daughter of Robert Bradley, Norma and Chris Ellcessor. 
Trial near for sect members accused of beating away demons
29 May 2017  7:00 pmRUTHERFORDTON, N.C.>> It has been nearly 41 2 years since Matthew Fenner said he was beaten in a church sanctuary by a group of congregants hellbent on expelling his "homosexual demons." After countless twists and turns, the longdelayed, highprofile case finally appears ready to move forward in North Carolina Superior Court. 
District planning Wilcox Elementary, NR Middle School closing...
29 May 2017  6:54 pmThe community is invited to share in the closing celebrations for Wilcox Elementary School and North Ridgeville Middle School as the North Ridgeville City Schools district is planning two events. One is from 9 a.m. to noon June 10. The other is from 4 to 7 p.m. June 14. Both schools will be open for tours. 
Butte College plans to break ground for new buildings in December
29 May 2017  6:41 pmButte Valley >> Nearly a year after voters approved Measure J, the $190 million bond proposed by Butte College, the school plans to break ground on the first of several construction projects. The college plans in December to begin construction on its new welding facility and remodel an undeveloped 6,800 square foot space in the Skyway Center. 
Maharashtra HSC Result 2017: HSC Class 12th Results at 1 pm at mahresult.nic.in
29 May 2017  6:11 pmThe Maharashtra State Board of Secondary & Higher Secondary Education will declare the Maharashtra HSC Result 2017 on May 30 at 1 pm on the official website mahresult.nic.in but you can check it on maharashtra12.jagranjosh.com. It will be difficult for you to check on the official site so there is another easier way to check your Maharashtra HSC Result 2017.



Mathematics News  ScienceDaily

Urban emissions could be cut by seventy per cent
29 May 2017  6:00 amA researcher has developed a mathematical model that determines the optimal conditions for sustainable urban distribution. The model can reduce logistical pressure in cities and make goods transport more sustainable. In some cases, it may be possible to reduce emissions in cities by seventy per cent. 
Mathematical modeling can identify ways to limit aggressive tumor cell growth
24 May 2017  7:06 amMathematical models can be used to predict how different tumor cell populations interact with each other and respond to a changing environment, research suggests. 
A fresh math perspective opens new possibilities for computational chemistry
19 May 2017  2:23 pmA new mathematical âshortcutâ is speeding up molecular absorption calculations by a factor of five, so simulations that used to take 10 to 15 hours to compute can now be done in approximately 2.5 hours. 
Don't count on your chickens counting
16 May 2017  9:16 amTo understand numbers, you need culture, says a cognitive scientist. He argues against the current conventional wisdom that numerical cognition is biologically endowed. 
No evidence that enrichment activities encourage pupils to study STEM Alevels
9 May 2017  9:19 amThere is no evidence to suggest enrichment activities run to interest pupils in science, technology, engineering and maths results in significantly higher numbers of teenagers studying these subjects at Alevel.



Scientific American  Math

What Does Compactness Really Mean?
27 May 2017  12:00 pmIt took me a long time to understand the mysterious mathematical property of compactness  Read more on ScientificAmerican.com 
Harnessing Serendipity
18 May 2017  4:00 amInnovation is critical to sustained economic growth—and mathematics can help us understand how it works  Read more on ScientificAmerican.com 
Is There a Link between Music and Math?
15 May 2017  4:00 amNadine Gaab, an associate professor of pediatrics at Boston Children’s Hospital and Harvard Medical School, and Jennifer Zuk, a doctoral student at Harvard University, answer:  Read more on ScientificAmerican.com 
The Sneaky Danger of Space Dust
11 May 2017  4:40 pmWhen tiny particles of space debris slam into satellites, the collision could cause the emission of hardwarefrying radiation. Christopher Intagliata reports.  Read more on ScientificAmerican.com 
A Few of My Favorite Spaces: The Douady Rabbit
7 May 2017  6:00 amCome for the fractals. Stay for the bunny puns  Read more on ScientificAmerican.com



Mathematics

Math Problem
16 May 2017  12:02 amHow long will it take you to figure out a problem that it took this boy less than a second to solve? 
Math Champion Wins With Answer About Pecking Chicks
15 May 2017  12:02 pmA 13yearold boy from Texas took less than a second to answer the word problem in the Raytheon Mathcounts National Competition. 
No Such Thing as a Math Person
15 May 2017  4:00 amGoing to an allgirls school isnât necessarily what makes a girl good at math, research finds. 
Fending Off Math Anxiety
24 Apr 2017  4:00 amParents can help by starting to talk to children at an early age about numbers in everyday life. 
The Worldâs Most Beautiful Mathematical Equation
15 Apr 2017  12:30 pmMath can make our brains light up in the same way art and music do.



Loren on the Art of MATLAB

How to win ALL marbles in Mancala on your first move, with MATLAB!
22 May 2017  7:02 amToday's guest blogger is Anoush Najarian who leads the MATLAB Performance Team at MathWorks. And while she mostly focuses on helping MATLAB run fast, in her spare time, she likes to use MATLAB for hobby projects in robotics, math, and games.Contents<ul><li>Winning at Mancala</li><li>The Rules</li><li>Is There a FirstPlayer Advantage? (You Bet!)</li><li>Alternative Rule Sets</li><li>What's Next?</li></ul>Winning at MancalaLet me tell you what happened when I got tired of losing at Mancala, and decided to write some MATLAB code to play it. Shoutout to my daughter, sixth grader Natalie, for introducing me to the game, and being a partner in these experiments. The RulesNow, there are many ways to play the games in the Mancala family. The rule set we wrote the... 
Stop If
8 May 2017  12:00 amToday's guest post comes from Sean de Wolski, one of my fellow Application Engineers. You might recognize him from MATLAB answers and the pick of the week blog!Have you ever wanted MATLAB to pause in debug mode when a certain condition is met? Perhaps when a specific problemfile out of a directory is read or on an iteration of a forloop that yields an unexpected result? Perhaps that forloop has to iterate a few dozen or hundred times before the problem iteration occurs and you don't want to walk through step by step in debug mode?In this post, we're going to survey a few different ways to handle this.Contents<ul><li>Keyboard</li><li>DBSTOP ...</li><li>Testing and Clean Up</li><li>Bonus</li><li>Comments</li></ul>KeyboardI was talking with a MATLAB user... 
MATLAB Guide, a New Edition
1 May 2017  4:36 amMATLAB Guide, a New EditionDisclaimer: I read very few MATLAB books. I'm thinking you can guess why!I recently got a copy of the latest edition of this book, MATLAB Guide, Third Edition, by Desmond and Nick Higham. And I have enjoyed wandering through it. Des and Nick bring the clarity of their teaching to the book (or is it the other way around?). This is both a good reference book and introduction to MATLAB, though it doesn't replace (nor does it preclude) getting your hands on the keyboard and working problems out for yourself. They encourage you to get tapping away on your keyboard to get your own MATLAB experience.The book's included topics span a large area of computing  e.g., matrices, linear... 
Working with Text in MATLAB
24 Apr 2017  6:43 amI'd like to introduce today's guest blogger, Dave Bergstein, a MATLAB Product Manager at MathWorks. In today's post, Dave discusses recent updates to text processing with MATLAB.Contents<ul><li>Example: How Late Is My Bus?</li><li>Text as Data</li><li>Recommendations on Text Type</li><li>Looking to the Future</li></ul>In today's post I share a text processing example using the new string array and a collection of new text manipulation functions, both introduced in R2016b. I also give recommendations on when best to use string, char, or cell for text and share some of our thinking on the future.Also be sure to check out Toshi's post Introducing String Arrays and Loren's post Singing the Praises of Strings.Example: How Late Is My Bus?My friend in New... 
Optimizing a Structural Design
10 Apr 2017  1:43 amToday you'll see a new demonstration of applying optimization techniques. Today's guest is Takafumi Ohbiraki. This demonstration was part of the contents of the MATLAB EXPO which was held in Tokyo last year (2016).Contents<ul><li>Design of an umbrella hook</li><li>FEM model (Using Partial Differential Equation (PDE) Toolbox)</li><li>Process of Optimization</li><li>Design of Experiments (DOE) (Taguchi design)</li><li>Calculation with setting parameters for L18</li><li>Factor Effect Chart</li><li>S/N ratio</li><li>Output</li><li>Optimization using patternsearch solver</li><li>Optimization using ga solver</li><li>Multiobjective optimization using the gamultiobj solver</li><li>Conclusion</li></ul>Optimization is a universal topic in both engineering and data science. It is a technology with high needs. Speaking of...



Homeschool Math Blog

Multiplication algorithm and lattice multiplication
24 May 2017  6:41 amThis is a GOOD comparison between the standard multiplication algorithm and lattice multiplication!The author even brings in the area model for multiplying multidigit numbers (which I also show in Math Mammoth). The area model is of course only used to show students what is going on, based on place value  not to replace any algorithm.QUOTEIn our desire for "efficiency," we lose transparency in the standard "long multiplication" algorithm.Read it at https://mathblog.com/multiplication/ 
Math Mammoth printed books sale
22 May 2017  12:55 pmMath Mammoth printed books at now at 20% off at Rainbow Resource Center!Please note that they sell TWO versions of the books:(1) Books in full color(2) Books with blackandwhite inside pagesBOTH have fullcolor covers so you cannot go by that. The full color books cost slightly more. You can mix and match if you'd like, such as by purchasing the student books in full color and the answer key and test books with blackandwhite inside pages.This promotion runs till June 2, 2017. 
Math Mammoth sale  May 2017
14 May 2017  7:30 amUse coupon code MAYSALE2017 to get 25% off of all Math Mammoth & Make It Real Learning downloads and CDs sold at www.mathmammoth.com site. đThis promotion is valid through Monday, May 29, 2017. 
Practice math facts online with your voice
12 May 2017  9:23 amNow there's a place where you  or your child  can practice math facts with your VOICE! Just say the answers out loud to the computer!You do need to use Google Chrome for it to work with voice... otherwise, it does also have buttons you can push to give your answers.http://www.dadsworksheets.com/mathflash/additionhttp://www.dadsworksheets.com/mathflash/subtractionhttp://www.dadsworksheets.com/mathflash/multiplicationhttp://www.dadsworksheets.com/mathflash/divisionYoungsters might find this intriguing to try out! 
A Mathematical Fable about the Pythagorean Theorem
8 May 2017  11:32 amHere's a video  A Mathematical Fable  that I showed to my girls recently. It ties in with the Pythagorean Theorem and is kind of interesting and funny at the same time! Enjoy!



Denise Gaskins' Let's Play Math

Playful Math Carnival #108 via Math Hombre
23 May 2017  5:25 pmCheck out the new Math Teachers at Play blog carnival at Math Hombre blog. You’re sure to enjoy this month’s collection of playful math for all ages. <ul> <li>Math Teachers at Play 108</li> </ul> The carnival features numberless problems, math circles, bookmaking, talking with kids, infinite series, division, number routines, calculus, inspiring tips for teachers, and much more. Click here to go read the carnival blog! Past carnivals are still full of mathy treasure. Check them out: <ul> <li>Browse all the past editions of the Math Teachers at Play blog carnival</li> </ul> Want to help your kids learn math? Claim your free 24page problemsolving booklet, and you’ll be among the first to hear about new books, revisions, and sales or other... 
Do You Blog About Math?
15 May 2017  5:25 am[Image by Mike Licht, NotionsCapital.com (CC BY 2.0) via Flickr.] It’s carnival time again. Activities, games, lessons, handson fun — if you’ve written a blog post about math, we’d love to have you join our Math Teachers at Play (MTaP) math education blog carnival. Posts must be relevant to students or teachers of schoollevel mathematics (that is, anything from preschool up through firstyear calculus). Old posts are welcome, as long as they havenât been published in past editions of this carnival. Click here to submit your blog post Don’t procrastinate: The deadline for entries is Friday, May 19. The carnival will be posted next week at Math Hombre. Have you noticed a new math blogger on your block... 
Even a Math Workbook Can Be a Game
4 May 2017  4:11 amHomeschooling Memories… My youngest daughter wanted to do Singapore math. Miquon Red was her main math text at the time, but we added a bit of Singapore Primary Math 1B whenever she was in the mood. We turned to the lesson on subtracting with numbers in the 30somethings. The first problem was pretty easy for her: 30 − 7 = _____ I reminded her that she already knew 10 − 7. She agreed, “Ten take away seven is three.” Then her eyes lit up. “So it’s 23! Because there are two tens left.” Wow, I thought. She’s catching on quickly. Mom Always Talks Too Much We went to the next problem: 34 − 8 = _____ “Now, this one is harder,” I said. “But you know what ten minus eight is, right? So we could take one of... 
Playful Math Carnival #107 via Give Me a Sine
29 Apr 2017  8:37 amCheck out the new carnival of playful math for all ages at Give Me a Sine blog. Each month’s carnival brings you a great new collection of puzzles, math conversations, crafts, teaching tips, and all sorts of mathy fun. <ul> <li>Math Teachers at Play #107</li> </ul> This month’s post features symmetry, origami, and an ant hotel. Percents, fractions, decimals, and the bathroom sink. Algebra, geometry, and trig. And much more! Click Here to Read the Carnival Blog Hey, Blogger, Can You Spare a Time? Do you write an education or family blog? Classroom teacher, math coach, homeschooler, parent, college professor, unschooler — anyone interested in helping kids play around with math? Please consider volunteering to host the MTaP... 
Rabbit Trails and Fibonacci Poetry
26 Apr 2017  4:11 amHomeschooling Memories… Well, I hadn’t planned on spending my day that way. But one of the great things about homeschooling is the freedom to follow rabbit trails. While browsing the Carnival of Homeschooling, I found a link to Farm School blog’s article Fib Foolery, which sent me to Gotta Book for his articles The Fib and More Fibbery (read the comments on both threads, but be warned that some are crude) and several other posts, all of which set me off on a morning of poetic fun. A “Fib” is a Fibonacci poem. It’s based on syllable count, like a haiku, but the lines follow the Fibonacci counting series: 1, 1, 2, 3, 5, 8… Each number is the sum of the previous two numbers. I knew what I was going to share...



Basic mathematics blog

Math Skills by Grade
21 May 2017  6:19 pmSharpen your math skills by grade here with crystal clear lessons 
Online Math Tests
21 May 2017  2:34 pmA great variety of online math tests to see how good you are at math. 
Free ALgebra Lessons
21 May 2017  8:44 amEnjoy these free algebra lessons that will make learning algebra online easy 
Prealgebra Lessons
21 May 2017  7:12 amPrealgebra lessons will teach you how to add, subtract, multiply, and divide different types of numbers 
Geometry Lessons
21 May 2017  5:51 amGet free geometry help with these easy to follow geometry lessons



Computational Complexity

Graduation from the Other Side
25 May 2017  5:31 amI've attended many graduations in my time, mostly as faculty, a couple of times as a student or a brother. This last weekend I attended my first university graduation as a parent as my daughter Annie graduated from Brandeis University in Waltham, Massachusetts. Brandeis has a big graduation ceremony with lots of speeches and then different departments or groups of departments have their own diploma ceremonies with their own speakers and where they give out the actual diplomas. Brandeis gives out a number of honorary doctorates each year and for the first time gave one to a computer scientist, Turing Award Winner Leslie Lamport. Lamport received his PhD at Brandeis in math in 1972 before they had a CS... 
The Optimizers
18 May 2017  5:42 amLast week the Georgia Tech School of Industrial and Systems Engineering honored the 80th birthday of George Nemhauser and the 70th of Arkadi Nemirovski at an event naturally called NemFest. The Nems are powerhouses in the optimization community and this event drew many of the greats of the field. In theoretical CS we often take NPcomplete as a sign to stop searching for an efficient algorithm. Optimization people take NPcomplete as a starting point, using powerful algorithmic ideas, clever heuristics and sheer computing power to solve or nearly optimize in many realworld cases. Bill Cook talked about his adventures with the traveling salesman problem. Check out his British pub crawl and his tour... 
If an ugrad asks `is field X worth studying' the answer is almost always yes
16 May 2017  6:28 amAn undergraduate Freshman recently emailed me that he was very interested in Quantum Computing and wanted to know 1) Who on the fCS aculty works in QC (Answer: Andrew Childs though you should ask him about postdocs, grad students, and Physics faulty in the area.) 2) What are good books on QC for a bright ugrad. I said the following: QC since Democritus by Aaronson QCA gentle introduction by Rieffel and Polak QC for CS by Yanofsy and Mannucci QC and QI by Nielsen and Chuang Some of Scott's blog posts. Ask Andrew Childs for more. my webpage of book reviews for SIGACT NEWS here and search for Quantum to get some other books read the reviews and pick one. on Amazon type in quantum computing and see what... 
William Tutte (19172002)
14 May 2017  6:18 amToday we celebrate our mothers of course, but also the 100th anniversary of the birth of Bill Tutte, best known for his role in decrypting the Lorenz cipher used by the Nazi high command. Tutte also made many important advances in graph theory and algorithms. For this post, let's look at one very powerful concept, the Tutte Polynomial, with a rather technical looking definition. Fix a graph G with vertex set V and edge set E with n = V. For a subset A of E, let kA be the number of connected components of A and nA be the number of vertices of the vertices of G induced by A, and k=kE the number of connected components of G. The Tutte polynomial T(x,y) is the sum over all subsets A of E of the... 
How to Solve It
11 May 2017  6:07 amToday a guest post from Periklis Papakonstantinou, coincidentally not unrelated to Bill's post earlier this week. I'll be back with a special post on Sunday. I'm teaching in an undergrad program that is half computer science and half business at Rutgers, but the CS part taught there is the real thing (I assume for Business too). This term I taught a very theoretical course in cryptography and I realized that (1) the students enjoyed it and (2) that they were lacking basic reasoning skills. I ended up teaching for a few weeks how one can structure basic logic arguments. I am not sure if they appreciated things like the hybrid argument but I believe I convinced them that without rigorous thinking one cannot...



Mathematics and Computation

A modular formalization of type theory in Coq
29 May 2017  8:01 amHere are the slides for the talk I just gave at TYPES 2017 in Budapest. It is joint work with Philipp Haselwarter and ThĂŠo Winterhalter. The abstract for the talk is available online. It describes a complete formalization of dependent type theory which allows you to turn various features of type theory on and off, and it proves several basic formal theorems. GitHub repository: formaltypetheory Slides:Â TYPES 2017 Â â A modular formalization of type theory in CoqÂ [PDF] 
Two PhD positions in Ljubljana starting October 2017
28 Mar 2017  4:27 amWe are looking for two PhD students at the Faculty of Mathematics and Physics, University of Ljubljana. The programme starts in October 2017 and lasts three years. The positions will be fully funded (subject to approval by the funding agency). The candidates should have a Master’s degree in mathematics or computer science. No knowledge of Slovene is required. The first PhD student will be advised by dr. Andrej Bauer. The topic of research is foundations of type theory. The candidate should have interest in mathematical aspects of type theory, and familiarity with proof assistants is desirable. The second PhD student will be advised by dr. Matija Pretnar. The topic of research is the theory of programming... 
Five stages of accepting constructive mathematics
10 Oct 2016  8:27 amIn 2013 I gave a talk about constructive mathematics “Five stages of accepting constructive mathematics” (video)Â at the Institute for Advanced Study. I turned the talk into a paper, polished it up a bit, added things here and there, and finally it has now been published in the Bulletin of the American Mathematical Society. It is not quite a survey paper, but it is not very technical either. I hope you will enjoy reading it. Free access to the paper:Â Â Five stages of accepting constructive mathematics (PDF) 
The new and improved Programming languages zoo
7 Sep 2016  1:39 amIt is my pleasure to announce the new and improved Programming languages Zoo, a potpourri of miniature but fully functioning programming language implementations. The new zoo has a decent web site, it is nowÂ hosted on GitHub, and the source code was cleaned up. Many thanks to Matija Pretnar for all the work. The purpose of the zoo is to demonstrate design and implementation techniques, from dirty practical details to lofty theoretical considerations: <ul> <li>functional, declarative, objectoriented, and procedural languages</li> <li>source code parsing with a parser generator</li> <li>recording of source code positions</li> <li>prettyprinting of values</li> <li>interactive shell (REPL) and noninteractive file processing</li> <li>untyped, statically and...</li></ul> 
Formal proofs are not just deduction steps
30 Aug 2016  8:08 amI have participated in a couple of lengthy discussions about formal proofs. I realized that an old misconception is creeping in. Let me expose it. In traditional mathematical logic (by which I mean firstorder logic, as established by Hilbert, Ackermann, Skolem, GĂśdel and others) the concepts ofÂ logical formula and formalÂ proof are the central notions. This is so because the main goal of traditional logic is the metamathematical study ofÂ provability, i.e., what can be proved in principle. Other concerns, such as what can be computed in principle, are relegated to other disciplines, such as computability theory. It is too easy to forget that mathematical logic is only an idealization of what...



IMA Journal of Applied Mathematics Current Issue

Shape of transition layers in a differentialdelay equation
3 May 2017  5:00 pmAbstractWe use asymptotic techniques to describe the bifurcation from steadystate to a periodic solution in the singularly perturbed delayed logistic equation $\epsilon\dot x(t) =  x(t) + \lambda f(x(t1))$ with $\epsilon \ll 1$. The solution has the form of plateaus of approximately unit width separated by narrow transition layers. The calculation of the period two solution is complicated by the presence of delay terms in the equation for the transition layers, which induces a phase shift that has to be calculated as part of the solution. High order asymptotic calculations enable both the shift and the shape of the layers to be determined analytically, and hence the period of the solution. We show... 
On the spectral analysis of residual stress in finite elasticity
2 May 2017  5:00 pmAbstractIn the literature, residual stress problems are generally formulated using classical invariants despite most of them having an unclear physical meaning and not having experimental advantages. In this article, we give an alternative formulation for residual stress problems using a set of spectral invariants. These invariants have a clear physical meaning which may facilitate the design of a residual stress experiment. For the case of an energy function that depends on the right Cauchy tensor and the residual stress tensor, we show that only nine of the classical invariants are independent, not 10 as commonly assumed. Details of the spectral formulation are given and several boundary value problems... 
The distributions of some transmission eigenvalues in one dimension
28 Apr 2017  5:00 pmAbstractThis work focuses on two main topics about the transmission eigenvalue problem defined on the unit interval $[0,1]$: (i) the distributions of transmission eigenvalues in a region ${\it{\Sigma}} _{\varepsilon }$ which is symmetric about the axes; (ii) the existence of real transmission eigenvalues under some conditions on acoustic profiles $n_{1}\left( x\right) $ and $n_{2}\left( x\right) $. These subjects are central to the socalled qualitative methods for inverse scattering involving penetrable obstacles. Specifically, in the case where $% n_{1}(x)=n_{2}(x)$ for $x=0 $, $1$, we show how to locate the transmission eigenvalues in ${\it{\Sigma}} _{\epsilon }$. The existence of infinitely many real... 
Threshold dynamics of an agestructured epidemic model with relapse and nonlinear incidence
23 Apr 2017  5:00 pmAbstractIn this article, we propose and analyse an epidemic model with relapse, infection age and a general nonlinear incidence rate. Roughly speaking, we establish a threshold dynamics determined by the basic reproduction number $\mathscr R_0$. If $\mathscr R_0Š1$ then the diseasefree steady state is globally asymptotically stable while if $\mathscr R_0>1$ then the endemic steady state is globally asymptotically stable. The global attractivity for the steady states is obtained by employing the fluctuation lemma and the approach of Lyapunov functionals. Our results imply that decreasing the initial transmission rate and drawing up efficient prevention ways play a much more important role on... 
Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution
31 Mar 2017  5:00 pmAbstractWe deal with front solutions of the Kortewegde VriesBurgers equation which is the simplest one describing long wave propagation in a dissipative media with dispersion in the weakly nonlinear limit. This equation represents a singular perturbation of the hyperbolic Hopf equation, and its nonlinearity is assumed to be presented by a nonconvex potential having a concrete expression. Various types of stationary structures of the originating discontinuities are investigated, the domains of their existence are described, and also the analysis of their dynamic stability is undertaken. In the domain of absence of stationary structures, a numeric study of stability of the nonstationary structures has...



The Math Less Traveled

AlphaGo
27 May 2017  10:15 amMany of my readers may have already heard about AlphaGo, a computer program developed by Google DeepMind which plays the ancient board game of Go. Developing a program to play Go is not that big of a dealâthe first such program was written in 1968âbut what is a big deal is how well it plays. In fact, it has just beaten Ke Jie, widely regarded at the moment to be the best human Go player in the world, three games to none in a threegame series. What is Go? Go is a very old board game, invented in ancient China over 2500 years ago. Players take turns playing white and black stones on the intersections of a grid, with the goal being to surround more territory than the opponent. The rules themselves are... 
Post without words #17
24 May 2017  1:26 pm 
Post without words #16
19 May 2017  9:31 am 
Now on mathstodon.xyz
16 May 2017  5:27 pmChristian LawsonPerfect and Colin Wright have set up an instance of Mastodonâa decentralized, opensource Twitter cloneâas a place for mathy folks to be social. Itâs appropriately named mathstodon.xyz, and because itâs opensource they were able to easily hack in support. Neato! Iâve never been on Twitterâthe costs of the resulting distraction would far outweight any benefits for meâbut mathstodon.xyz seems like it could be a fun place to discuss math without being endlessly distracting (weâll see), so I decided to try it out for now: Iâm @byorgey. Hereâs my initial entry to the #proofinatoot contestâthe idea is to write a proof that fits in Mastodonâs 500character limit for... 
Computing optimal play for the greedy coins game, part 4
12 May 2017  1:15 pmLast time I explained a method for computing best play for instances of the greedy coins game, which is feasible even for large games. This general approach is known as dynamic programming and is applicable whenever we have some recursively defined thing where the recursion generates a lot of overlap/duplication: in our case, the game tree and the values for Alice are defined recursively, but we saw that there is a lot of duplication of subgames. The solution is to organize things in such a way that we never have to look at a particular subthing more than once. In practice, instead of thinking about trees, we can just keep an uppertriangular matrix , where will denote Aliceâs best score from the point...



eon

What are the chances that a bird will poop on my car?
17 May 2017  6:30 pmThis question was posed as a scenario of mathematics in everyday life. Some googling led to Randall “XKCD” Munroe’s post here. Borrowing similar ideas leads to my own computation below. I park at an open air carpark for work. The easy assumptions are my car has a 4.3m x 1.75m footprint and I park for 8 hours a day. For data on birds, after some searching I found a 2016 article that estimates (provided I interpreted correctly) a total of 377 birds in 113 hectares of builtup area at another university in the country. So if we assume a similar bird population here and that birds poop uniformly everywhere once every hour, [tex] \frac{377}{113 \times 10,000} \times 8 \times 4.3 \times 1.75 \approx 2\% [/tex]... 
Queen of Mathematics
9 Apr 2017  5:26 pmNumber theory has been called the Queen of Mathematics. Until some fifty years ago, it did not occur to anyone that number theory, especially the study of prime numbers, would have any immediate applications to business. More recently, the Queen has been relegated to be the object of a courtship, inspired by material gains, rather than awe. As a result, progress has been made in unexpected directions, which have required deeper investigations. — Papa Paulo A.K.A. Paulo Ribenboim from his pseudonovelnumber theory text “Prime Numbers, Friedns Who Give Problems: A Trialogue with Papa Paulo” (p. 50). 
Triangular numbers modulo powers of 2 and its generalizations
14 Mar 2017  5:54 pmSomeone discussed with me an interesting problem that he was working on with his students. They found that the congruence [tex] \frac{1}{2}X(X+1) \equiv a \pmod{n} [/tex] has a solution for every [tex] 0 \le a n [/tex] if and only if [tex] n =2^k[/tex]. My first instinct of course was to complete the squares for triangular numbers and reduce the problem to [tex] X^2 \equiv a \pmod{n} [/tex]. This turn out to work well for odd modulus and the solutions for triangular numbers and squares correspond. But when the modulus was a power of 2, completing the square would not work. A simple search found a few websites where the phenomenon was recorded and it seems a (perhaps original?) source is Knuth’s the Art of... 
If there is some good inflammable stuff it will catch fire
21 Oct 2016  8:06 pmDo not try to satisfy your vanity by teaching them great many things. Awake their curiosity. It is enough to open the minds, do not overload them. Put there just a spark. If there is some good inflammable stuff it will catch fire. The quote appears at the end of chapter 14 of Polya’s Mathematical Discovery. Polya attributes the quote to Anatole France from Le jardin d’Epicure. Perhaps he translated the French into English. He further adds: There is a great temptation to paraphrase this passage: “Do not try to satisfy your vanity by teaching high school kids a lot of … just because you wish to make people believer that you understand it yourself …” Yet les us resist temptation.... 
Catalan numbers
20 Oct 2016  5:22 pmI really enjoyed reading Federico Ardila’s article in the Mathematical Intelligencer. Apparently there was a vote of 3030 members at an assembly of CUP (Not Cambridge University Press but the Candidatura d’Unitat Popular). The vote had to do with forming an alliance with another party and ultimately related to the independence of Catalonia. The amazing thing that happened was that the vote came out 1515 Yes and 1515 No. The probability that a YESNO vote of 2m persons ends up in a tie is [tex] \binom{2m}{m}/2^{2m} [/tex], closely related to the Catalan number [tex] \binom{2m}{m}/(m+1) [/tex]. I love the dual connections and of course Ardila did not fail to mention Stanley’s Enumerative Combinatorics. What...



WordPress Tag: Mathematics

Applied Mathematician Interview
29 May 2017  7:08 pmOriginal Source : The Interview Portal As part of our Mathematics interview series, we are delighted to speak to a mathematics professional who successfully transitioned from research into the industry. Shyam Krishnamurthy from The Interview Portal in conversation Â with Visweswaran Nageswaran, an applied mathematician at Liquidnet, a firm that specializes in developing complex math based algorithms for institutional stock trading. Viswesh, can you tell us about your background? Sure!, i grew up in Thiruvanmiyur, Chennai where i went to Hindu Sr Sec School. I come from a traditional family where there was a lot of emphasis on getting a good education. However i was veryÂ clear that i didnt want to follow... 
NBCT Mathematics AYA  Visual Score Calculator
29 May 2017  6:47 pmDisclaimer – (This post is not certified by the National Board for professional Teaching and Although I think it’s right on it is possible there is a mistake. Use at your own risk, and please let me know if you think I made a mistake.) I thought it would be nice to have a way to look at your National Board Scores visually. This seems particularly helpful to me if you have to retake a component or have only completed some components. You can enter your scores and play around with the other scores you need to pass. Unfortunately we don’t know what overall score we need yet to pass the NB certification. (Link to Desmos graph is below.) Your total score will show up on the left next to – T. All the scores... 
Is This Funky Winkerbean Supposed To Make Sense?
29 May 2017  5:34 pmSo a little something roiled the normally calm world of ridiculing Tom Batiuk’s Funky Winkerbe 
The Rule of 135
29 May 2017  4:23 pmFrom SingingBanana. 
Spectral Circles on a Truncated Icosahedron
29 May 2017  12:44 pmI used MSPaint and Geometer’s Sketchpad to make the designs on the faces, and then used Stella 4d (here) to put the whole thing together.



Institute for Mathematics and Computer Science

PreAlgebra Plus: An Online Math Course Designed for Gifted Thinkers
21 May 2017  10:00 pmPrealgebra, typically taught during the middle school years, serves as a bridge from the fundamentals of number sense and arithmetic to the rigors of algebra. Problemsolving and abstract thinking skills are further developed in order to be applied to more complex situations. A typical prealgebra curriculum is designed to promote computational or procedural fluency. Unfortunately, that is rarely enough to engage gifted minds. PreAlgebra Plus, an online course within the Elements of Mathematics: Foundations program, offers gifted students a better option. Five Reasons Gifted Students Prefer PreAlgebra Plus <ol> <li>PreAlgebra Plus was created specifically for the way gifted minds work. Course material invites...</li></ol> 
Educational Summer Camp Matters:Three Reasons Why Exercising the Mind is Important
22 Mar 2017  10:00 pmThe Institute for Mathematics and Computer Science (IMACS) believes in making sure kids exercise their minds this summer, in addition to their bodies, with fun yet educational summer camp experiences. Spending summers having fun and being outside is definitely important, but a small dose of educational summer camp is essential for all students too. Here are three reasons why: 1. Retain Knowledge: Summer vacation can often lead to forgetfulness and overall loss of learning. According to a study by the RAND Corporation, students lose, on average, one month of learning during the summer, all students lose some learning in math, and summer learning loss is cumulative over time. When kids aren't working certain... 
2016 Holiday Logic Puzzle from IMACS
14 Dec 2016  10:00 pmAs most people know, Santa Clause generates an annual list of children who have been sufficiently nice to warrant a Christmas present (and, of course, a complementary list of children who have been too naughty to deserve a present). Last December, while checking his list twice, Santa discovered that the status of four children — Amy, Bobby, Charlie, and Donna — remained in doubt. He decided to talk to the four of them in order to rank them from nicest to naughtiest. In his conversations, the children made the following claims: Amy said, "I am nicer than Charlie." Bobby said, "I am naughtier than Donna." Charlie said, "I am neither the nicest nor the naughtiest of the four of us." Donna said something as... 
Gifted Math: A Better Alternative to Acceleration
16 Nov 2016  10:00 pmFor mathematically talented children, acceleration is a commonly used approach to address their need to be challenged. Acceleration is often the most affordable option for schools, and it does help gifted children avoid unnecessary repetition. As such, acceleration works to a certain degree for all parties: Students are less bored; little or no extra work is required of teachers; districts incur little or no extra cost; and parents know that something is being done for their gifted child. Acceleration has become a "good enough" solution. While acceleration can save gifted math students from unnecessary repetition, by definition acceleration cannot go deeper than the standard curriculum, and deeper is what... 
IMACS Success Spotlight: Fiona Brady
12 Oct 2016  10:00 pmCongratulations to IMACS graduate Fiona Brady who is beginning her studies at the University of Chicago. Fiona first attended IMACS HiTech Summer Camp when she was ten. Over the next eight years, she went on to complete IMACS’ universitylevel courses in University Computer Science, AP Computer Science: Java Programming, and Logic for Mathematics. Homeschooled since fifth grade, Fiona was awarded a National Merit Scholarship, named an AP Scholar with Distinction, and scored 2360 on the SAT. She is also a second degree black belt in Taekwondo and won a bronze medal at the 2013 AAU Junior Olympic Games. As a high school student, Fiona studied four years of undergraduate, advanced undergraduate, and...



MathFour

Infinity, Earworms and the Song That Never Ends
4 May 2017  7:18 amI recently had cause to experience The Song That Never Ends.Â Again. Of course it “got stuck in my head,” as many songs do. Which made me think of infinity, finiteness and one of the weirdest concepts: earworms. Earworms It’s not a medical problem, although it sounds like a mix between ear mites and pinworms – yuck! Turns out earworms are those bits of a song that get in your ear and cause the whole thing to get stuck in your head. TheÂ cure to an earworm is to play the song in its entirety. It’s a psychological thing. It’s been studied. Yup – if you listen to the whole song, it goes away (you’re welcome). But what if the song never ends? “This is the song that never ends…” By the very definition of the... 
Playing the Game in Job Interviews and Math Class
19 Apr 2017  4:36 amI’ve been in education for over 20 years. I’ve learned to play the “get the job” game and gotten pretty good at it. If you’re a teacher or professor, you know the game I’m talking about: there’s the “demo teach” element of the interview process. You have a handful of other math teachers “learning” how to solve a system of equations (or some other math topic replete with pitfalls for the inexperienced) based on your minilecture for them. At some point, you stop getting annoyed at the demo teach and start thinking how it can show other math teachers a different way of teaching. Changing the Game As I mentioned previously, I’m making a transition from math teaching to math using. I’m going to be a software... 
Coding Instead of Math? Yes!
19 Mar 2017  5:34 amI’ve told so many homeschool parents to stop teaching math and instead teach coding (or programming as we used to call it). If children learn coding, then math will come as needed. The logic is the same and coding is far more exciting in today’s social setting than is math. (Yes, that’s unfortunate, but it’s true. To deny it is foolish.) So I’m taking my own advice! I’ve enrolled in The Houston Coding Bootcamp Powered by UT Austin and am tickled pink at my decision. I have a bazillion projects in my mind dying to get out (including a fully robust version of the That’s Math text messaging service). I’ve been itching to share the news on MathFour.com, but have been hesitant to do so. “I’m all math all the... 
What Kind of Math Book are You?
14 Feb 2017  8:42 amYou’ve seen the quizzes for just about every “what kindÂ of…” Now there’s a quiz tailoredÂ toÂ the math educators. Enjoy! A big thanks to TryInteract.com for sharing a complementary super version of their quiz maker. The post What Kind of Math Book are You? appeared first on MathFour. 
Think Funâs Rush Hour Is Enjoyable for the Very Young
2 Feb 2017  2:30 amThis is part of Wordless WednesdayÂ and Throwback Thursday … Rush Hour is a game of logic and skill. The colorful cars are fun for other things too. The object of the game is to move the cars and let the target car “escape.” But at 4 years old, K8 was happy to figure out how to fit all the cars in the game board. Get a copy of Think Fun’s Rush Hour – it’s a noscreen, single player logic game that appeals to girls and boys alike! You might also like: <ul> <li>Rush Hour Traffic Jam Game â Low & High Tech</li> <li>The Tower of Hanoi Math Game</li> <li>Hanukkah Math â Playing the Dreidel Game</li> <li>Chutes and Ladders â It’s a Math Game!</li> </ul> The post Think Fun’s Rush Hour Is Enjoyable for the Very Young appeared first on...



Motion Math

Playing with Prototypes
11 May 2017  12:27 pmPrototyping is one of the most important stages in the development of Motion Math’s games â the process to get our ideas from paper to something interactive and playable that we can test... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
Motion Math is now live on the web!
23 Feb 2017  11:53 am“Can my students play Motion Math on Chromebooks?” That’s the most common question we’ve been asked over the years by teachers. Well, that and “How do you make... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
Promoting a Growth Mindset Through Personalized Mindset Coaching
30 Nov 2016  6:20 amMotion Math’s company mission is to help children find delight in intellectual challenge. When children learn to love the experience of struggling through frustration and confusion,... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
Factors of Learning â a new tool for personalization
20 Oct 2016  11:43 amWe’re excited to announce a new tool in the Motion Math teacher dashboard â Factors of Learning. This new report offers innovative data to help you build a student’s learning mindset â a... [[ This is a content summary only. Visit my website for full links, other content, and more! ]] 
New game contentâŚupdate your apps!
22 Sep 2016  10:38 amWe’re encouraging all Motion Math subscribers to update your apps, or politely ask your local IT guru to do so. (Even better, turn on “Automatic app updates” on your iPads.) Â Why?... [[ This is a content summary only. Visit my website for full links, other content, and more! ]]



Math for all Grade blog

May 10, Percent
10 May 2017  3:20 amPercent is a fraction with denominator hundred. How to convert percent into decimals, fractions and ratios are problems in percentages. Percent more, percent less are other problems. 
May 10, Triangle Inequality Property of sides
10 May 2017  2:52 amTriangle Inequality Property of sides 
May 10, Percentages1
10 May 2017  2:06 amPercentages1 
May 10, Percentages
10 May 2017  2:06 amPercent means per hundred. Percentage is a fraction. It can be expressed as a fraction and a decimal. Overall percent change gives net percent change during successive percent changes. 
May 9, mathforallgrades
9 May 2017  8:25 pmmath for all grades covers in depth all math subjects :algebra, arithmetic, calculus with essential concepts and unlimited solved problems.



MIND Research Institute Blog

4 Steps to Student Success With Word Problems Using ST Math
26 May 2017  9:00 amâWord problems are easy to teach!â said no teacher ever. We all know the truth  word problems can be wonderful opportunities for students to apply deep mathematical knowledge toward complex real world problems. But getting students there is the hard part. When it comes to tackling the challenge of teaching word problems, research can help guide us in the right direction. Here are four small but significant changes we can make to support students through word problems. Step 1: Focus on Conceptual, Foundational Knowledge Conceptual understanding opens the door to higher order thinking and complex problem solving. In order to be successful with word problems, students must have a concrete... 
What is Ulamâs Number Spiral? [Downloadable Activity]
24 May 2017  9:00 amA Number Spiral is Born In 1963, mathematician Stanislaw Ulam was doodling during a lecture. He was writing out positive integers (positive numbers counting by 1) in a grid where the number 1 was in the middle and the other numbers spiraled outward. Once Ulam had completed his spiral, he decided to circle all of the prime numbers and discovered an unusual pattern. All of the prime numbers lined up in diagonals! In order to make sure it wasnât just coincidence, Ulam expanded his spiral to include more numbers and found that a larger grid made the pattern stand out even more. The figure below is a 200 x 200 spiral where each black dot represents a prime numberâyou can clearly see the black dots... 
Course RoundUp: Summer Learning for Educators
17 May 2017  9:00 amLooking to learn something new this summer? Maybe you want to develop your personal learning network on social media, read a few new books, or take a course alongside other educators. Thanks to technology, we can take learning online and collaborate with educators around the country and the world. Plus, we can do many of these events or tasks in our pajamas, or even by the pool! Below, we have collected some Massive Open Online Courses (MOOCs) as well as open courseware, so you can choose your own learning adventure this summer. Increase Your Math Knowledge Mathematical Mindsets Stanford University Summer 2017 âThis course unpacks the teaching approach that was used in an 18lesson... 
UC Irvine Launches Connected Learning Lab
11 May 2017  9:00 amAs a fellow anteater (Class of 2016, Paul Merage School of Business), I am excited to announce the launch of the Connected Learning Lab (CLL) at the University of California, Irvine campus. The Connected Learning Lab is an interdisciplinary hub for research and innovation that is uniquely focused on the both the connected learner and emerging digital technologies. Connected learning is about putting relationships first in order to provide the access and support needed for learners to pursue their personal interests. The CLL established the Connected Learning Alliance, a network of organizations dedicated to spreading connected learning, which focuses on supporting young people in their interests and... 
The Teacher's Guide to a Math Game Design Unit [Recorded Webinar]
9 May 2017  9:00 amStudents and adults across the world are engaged in playing all types of games. What if we could harness that enthusiasm for games as an instructional strategy? In this recorded webinar, you will learn everything you need to know to implement a math game design unit in your classroom, including: <ul> <li>How to support the development of skills such as critical thinking, creativity and collaboration</li> <li>How engineering design principles can be used to guide the design process</li> <li>Stories and strategies from other educators who have used this unit in their classrooms</li> <li>Printable guides and resources to facilitate the entire unit</li> </ul> Students get excited about the opportunity to take what they've learned and put it...



Ash Tutors

10 reasons to hire a private tutor for your child
5 May 2017  2:59 amâReading time: 3.2 minutes Why hire a private tutor for your child? Here are 10 good reasons:The demand for private tuition is increasing, due mainly to the popularity of private tuition with parents who want to give their child extra support or prepare them for oncoming examinations.In no particular order, here are 10 reasons to hire a private tutor for your child. 1. Confidence building Some children lack confidence in school and as a result, they can fall behind and find themselves struggling academically. Private tuition can build a child's confidence in next to no time and guide them to academic success they might otherwise miss out on in school.'Getting things wrong' in... 
When is it safe to leave your child home alone?
5 May 2017  2:58 amReading time: 4 minutes Deciding when your child is ready to be left home alone is a decision not to be taken lightly. There are a lot of factors to take into consideration and it's made all that harder because there are no rules or laws to follow. The law doesn't say an age when you can leave a child on their own, but it's an offense to leave a child alone if it places them at risk. (Suitably vague!)It all boils down to how comfortable you and your child are with the idea as well as how adaptable and mature they are. While there is no determined legal age to leave a child at home alone, it should be sufficient to say that babies, toddlers and young children should never be left... 
What's the right age for your child's first email account?
5 May 2017  2:58 amâReading time: 2.6 minutes What age is considered appropriate for a child to have their own email account? A growing number of schools do offer pupils school email accounts. Not usually in infant school, but as they move through the education system into junior school pupils are generally assigned a school email address and password. Teachers can monitor and scan for bad language and harmful content. Any email that causes concern will be forwarded to the designated teacher. This works because it's an email within an 'enclosed network'. Using email across the entire worldwide web is a different matter!It's only natural that with so much exposure to technology from a young age,... 
Why do we celebrate Easter?
30 Mar 2017  11:49 amâReading time: 3.6 minutes A brief history tells us there are a lot of controversies over where the name ''Easter'' actually originates from. The majority of articles mention that the name ''Easter '' has a pagan origin and originates from the name of a pagan AngloSaxon goddess of Spring whose name was Eostre. Some scholars on the other hand say the name ''Easter'' stems from the German word 'auferstehung' which means resurrection. Other articles claim the name ''Easter'' derives from ancient Egypt and Egypt's goddess of fertility.Did you know?Easter Sunday does not have a fixed date, and this year Easter falls on April the 17th which is 3 weeks later than last year when... 
What were classrooms like 100 years ago?
30 Mar 2017  11:49 amâReading time: 3.1 minutes â Just how different are today's classrooms compared to 100 years ago?One hundred years ago, children did go to school, but the classroom and lessons were very unfamiliar by today's standards. The 1870 Education Act was the very first piece of legislation to deal specifically with the provision of education in Britain. However, the act still did not make education for children compulsory. It was not until the Elementary Education Act of 1880 which finally made school attendance compulsory from the age of 5 until the age of 10. In 1893 compulsory education was also extended to blind and deaf children when special schools were established. Life at...
