The summer before I start highschool i learned c++ programming on my own. When i start hisghschool, the first computerlabclass the teacher told us we where going to learn c++ programming through the year.


Most Popular Stories

Dear people who actually work at videogame industry:
Search for "math OR mathematics"28 Jun 2016  3:47 pm 
Doing the math on Zika and sex
Mathematics News  ScienceDaily28 Jun 2016  10:11 amA math professor has developed a scientific model to address the various ways the Zika virus proliferates. The study reveals that mosquito control should remain the most important mitigation method to control the virus. However, the study reveals that Zika is a complicated virus and sexual transmission increases the risk of infection and prolongs the outbreak. 
49 Ways to Celebrate the Most Perfect Day of the Year
Scientific American  Math27 Jun 2016  7:00 amJune 28—6/28 or 28/6—is the most mathematically perfect day of the year. Celebrate by befriending a perfect number  Read more on ScientificAmerican.com 
Letters to the Editor
Mathematics27 Jun 2016  10:30 amReaders react to articles in Science Times. 
Survey Reveals Diversity in the “Learn to Code” Movement
Loren on the Art of MATLAB27 Jun 2016  6:13 amDo you use any free "learn to code" website to teach yourself programming? You may already know how to program in MATLAB, but you may very well be learning other skills on MOOCs.Today's guest blogger, Toshi, analyzed a publicly available survey data to understand the demographic of selftaught coders.ContentsLoad DataHigher Female Representation Than ExpectedMostly Studying in Countries of CitizenshipEthnically Diverse English Speakers in USMany Are Highly Educated and Already Employed in the USMany Already Work In Software Development and IT in USAcademic Background in Software Development…




Search for "math OR mathematics"

Dear people who actually work at videogame industry:
28 Jun 2016  3:47 pmThe summer before I start highschool i learned c++ programming on my own. When i start hisghschool, the first computerlabclass the teacher told us we where going to learn c++ programming through the year. 
New Jersey drivers brace for possible end of cheap gas
28 Jun 2016  3:36 pmNew Jersey's low gas prices have always served as a welcome antidote for residents burdened by a seemingly endless series of toll and fee increases, not to mention the nation's highest property taxes. Now, cheap gas in New Jersey may be going the way of the fax machine, leaving the state's roughly six million drivers doing the math to try and figure out how much pain they'll be in for. 
Study Debunks Gender Performance Gap in Online Video Games
28 Jun 2016  3:35 pmIn the realm of fantasy video games, one epic monster stalks players both online and in the real world  the stereotype that men make better players than women. A new study led by a researcher at the University of California, Davis, slays that troll. 
Help for middleofthenight Insomnia
28 Jun 2016  3:30 pmFind out how to recreate the modern day galaxy manicure from our "100 Years of Nails" video. Tracylee Percival www.luxebytracylee.com It is a frustratingly common scenario: You fall asleep easily at bedtime but are wide awake at 2 or 3 in the morning. 
MCC plans to expand science classrooms, labs
28 Jun 2016  3:29 pmMcHenry County College in Crystal Lake will be getting a new science building and labs. Work on the nearly $17 million construction project is expected to begin in 2017.



Mathematics News  ScienceDaily

Doing the math on Zika and sex
28 Jun 2016  10:11 amA math professor has developed a scientific model to address the various ways the Zika virus proliferates. The study reveals that mosquito control should remain the most important mitigation method to control the virus. However, the study reveals that Zika is a complicated virus and sexual transmission increases the risk of infection and prolongs the outbreak. 
What makes individuals nasty or nice? Mathematical model explains
24 Jun 2016  12:47 pmA scientist has helped develop an innovative mathematical model for exploring why some individuals evolve to be genetically programmed to be nice, while others stay nasty. 
Should firstyear college students assessed as needing remedial math take collegelevel quantitative courses instead?
24 Jun 2016  7:52 amPolicies placing firstyear college students assessed as needing remedial math directly into collegelevel quantitative courses, with additional support, can increase student success, according to a firstofitskind study. 
Nanotechnology, math deliver twoinone punch for cancer therapy resistance
23 Jun 2016  12:01 pmMath, biology and nanotechnology are becoming strange, yet effective bedfellows in the fight against cancer treatment resistance. Researchers have engineered a revolutionary new approach to cancer treatment that pits a lethal combination of drugs together into a single nanoparticle. 
New statistical approach will help researchers better determine causeeffect
21 Jun 2016  12:50 pmResearchers have developed a new statistical technique that can help scientists determine causation of effects they are studying. This method can help scientists advance research that otherwise would stall out in its early phases.



Scientific American  Math

49 Ways to Celebrate the Most Perfect Day of the Year
27 Jun 2016  7:00 amJune 28—6/28 or 28/6—is the most mathematically perfect day of the year. Celebrate by befriending a perfect number  Read more on ScientificAmerican.com 
Topology at the Tonys
14 Jun 2016  9:30 amAnd the Tony Award for the best use of mathematicsin a musical goes to…  Read more on ScientificAmerican.com 
Inspired by Genius: How a Mathematician Found His Way
4 Jun 2016  6:00 amThe mathematician Ken Ono believes that the story of Srinivasa Ramanujan—mathematical savant and twotime college dropout—holds valuable lessons for how we find and reward hidden genius  Read more on ScientificAmerican.com 
The Male Gaze in a Math Book
31 May 2016  3:30 pmI kind ofassumed I could get past page 2 of a math book before the author objectified women...  Read more on ScientificAmerican.com 
How to Use Stars to Find Your Latitude
25 May 2016  7:00 amHave you ever wondered how people figured out their latitude back in the days before the Internet? Did you know you can use the same math trick they used to pinpoint your latitude today? Keep on...  Read more on ScientificAmerican.com



Mathematics

Letters to the Editor
27 Jun 2016  10:30 amReaders react to articles in Science Times. 
Uncovering a Tale of Rocket Science, Race and the ’60s
20 May 2016  12:51 pmTaraji P. Henson and Octavia Spencer star in “Hidden Figures,” a largely untold story of AfricanAmerican mathematicians in the space program. 
An Unneighborly Building That Hums With Lifesaving Capacity
11 May 2016  3:00 amFrom its extraterrestrial presence to its securitystate name, PSAC II, New York’s new emergency answering center, is not neighborly. But you’ll be glad it’s there. 
Bach Pie Recipe
2 May 2016  12:49 pmHow to make an oblong rectangle of creamy dark chocolate studded with banana slices, topped by a braid of four glazed pastry plaits. 
Eugenia Cheng Makes Math a Piece of Cake
2 May 2016  12:49 pmIt can also be a piece of pie, or custard — so says a professor and author who spreads the magic of numbers through dessert recipes.



Loren on the Art of MATLAB

Survey Reveals Diversity in the “Learn to Code” Movement
27 Jun 2016  6:13 amDo you use any free "learn to code" website to teach yourself programming? You may already know how to program in MATLAB, but you may very well be learning other skills on MOOCs.Today's guest blogger, Toshi, analyzed a publicly available survey data to understand the demographic of selftaught coders. Contents<ul><li>Load Data</li><li>Higher Female Representation Than Expected</li><li>Mostly Studying in Countries of Citizenship</li><li>Ethnically Diverse English Speakers in US</li><li>Many Are Highly Educated and Already Employed in the US</li><li>Many Already Work In Software Development and IT in US</li><li>Academic Background in Software Development and IT</li><li>Wide Income Gap in Software Development and IT</li><li>What Affects Income in Software Development and IT?</li><li>Age Factor</li><li>Big...</li></ul> 
Setting a New Time Basis for Date / Time Data
13 Jun 2016  6:57 amI was recently working with someone who had some temporal data in various formats and was trying to merge them in a meaningful way.Contents<ul><li>Problem Setup</li><li>What Didn't Work</li><li>First Working Shot</li><li>Much Better Answer</li><li>P.S.</li><li>And You?</li></ul>Problem SetupI made a small subset of the data and loaded it in.load setTimeBasis whos Name Size Bytes Class Attributes mydatestr 1x6 12 char t 5x1 161 datetime First I looked at the both variables.mydatestr mydatestr = 090506 t t = 12:32:28 12:59:50 12:59:51 12:59:52 12:59:53 You can see that I have a string representing a date (May 6, 2009), and then a datetime... 
Fighting Crime with Predictive Policing
27 May 2016  4:47 amToday's guest blogger, Toshi, is back again.I recently noticed that there is a Kaggle competition titled San Francisco Crime Classification which asks you to predict the category of crimes that occurred in San Franciso from 1/1/2003 to 5/13/2015 in theSFPD Crime Incident Reporting system. The goal of the competition is to predict the category of crime that occurred based on time and location.This reminded me of the movie Minority Report in which a special unit of police arrests people before they commit crimes, but that's SciFi. A more realistic approach is to deter crime by analyzing the past data to predict when and where crimes take place and deploy law enforcement resources to such hot spots. This... 
Save Yourself!
13 May 2016  12:14 pmToday I am going to talk a little about code development and appropriate hygiene that goes with it. Why? Well, have you ever ended up with a really sick feeling after spending hours on something, only to realize that it's been deleted? It's happened to me, but never again!Contents<ul><li>Did You Know...?</li><li>Git Outta Here</li><li>What Do You Do?</li></ul>Did You Know...?MATLAB currently allows you to make backups of your code, and you can control some aspects of that. Here you can see my preferences. I choose to:<ul><li>allow frequent backups of open files</li><li>save these with an alternate extension</li><li>delete them when I quit MATLAB so I don't litter my file system with these backups</li><li>place them in a central location rather than in the same folder as...</li></ul> 
Run Workers Run!
27 Apr 2016  7:45 amToday's guest post comes from Sean de Wolski, one of Loren's fellow Application Engineers. You might recognize him from MATLAB answers and the pick of the week blog!This blog post is going to focus on subtle differences in approaches to running commands on all Parallel Computing Toolbox workers.Contents<ul><li>Background</li><li>pctRunOnAll</li><li>SPMD</li><li>parfevalOnAll</li><li>Table of Tradeoffs</li><li>Lack of PARFOR</li><li>Comments and Feedback</li></ul>BackgroundThe Parallel Computing Toolbox allows you to open headless MATLAB workers that you can then distribute work to in order to speed up your code or offload it from the main MATLAB session. Oftentimes, there is some initial setup that you will want to run on each of the workers in order to prepare them to run. ...



Q J Math: MostRead FullText Articles

The AStokes approximation for nonstationary problems
31 May 2016  5:00 pmDominic Breit<br />Jun 1, 2016; 67:201231<br />Articles 
THE SHIFTED CONVOLUTION OF DIVISOR FUNCTIONS
31 May 2016  5:00 pmBerke Topacogullari<br />Jun 1, 2016; 67:331363<br />Articles 
JACOBIAN VARIETY OF GENERALIZED FERMAT CURVES
31 May 2016  5:00 pmMariela Carvacho, Ruben A. Hidalgo, Saul Quispe<br />Jun 1, 2016; 67:261284<br />Articles 
ON EXPONENTIAL SUMS INVOLVING COEFFICIENTS OF LFUNCTIONS FOR SL(3, Z) OVER PRIMES
31 May 2016  5:00 pmFei Hou, Yujiao Jiang, Guangshi LüJun 1, 2016; 67:285301Articles 
Tensor products of monotone complete Formulaalgebras
31 May 2016  5:00 pmKazuyuki Saito<br />Jun 1, 2016; 67:303329<br />Articles



Computational Complexity

There is now a Bounded Discrete Envy Free Cake Cutting Protocol!
26 Jun 2016  8:05 pmLance: Bill, there is a new result on cake cutting that was presented at STOC! Do you want to blog about it? Bill: Do snakes have hips! Does a chicken have lips! Lance: No to the first one and I don't know to the second one. Bill: Yes I'll blog about it! Whats the paper? Lance: It'sthispaper by Aziz and Mackenzie. Bill: Oh. That's not new. Five people emailed me about it a while back. But yes I will blog about it. Cake Cutting: There are n people with different tastes in cake (some like chocolate and some... OH, who doesn't like chocolate? Okay, someone prefers kale which is on the cake.) They want a protocol that divides the cake in a way that is fair. What is fair? There are many definitions... 
STOC 2016
23 Jun 2016  5:44 amI attended the 2016 STOC Conference earlier this week in Cambridge, Massachusetts. No shortage of awesome results highlighted byLászló Babai's new quasipolynomialtime graph isomorphism algorithm. Babai didn't have a chance to give more than a glimpse into his algorithm in the 20 minute talk but you did see his joy in discovering the concept of "affected" last September, the key to making the whole algorithm work. Babai also received the ACM SIGACT Distinguished Service prize for his work for the community including his openaccess journal Theory of Computing. You can see and access all the papers from the program page. Links on that page will give you free access to the papers forever. I'll mention... 
When does n divide a_n? The answer, though you already know it. The Point, though its not as strong as I wanted. Oh well.
21 Jun 2016  11:54 amIn my last postWhen does n divide a_n?I gave a sequence: a(1)=0 a(2)=2 a(3)=3 for all n ≥ 4 a(n) = a(n2) + a(n3) and I noted that for 2 ≤ n ≤ 23 it looked like n divides a(n) iff n is prime and challenged my readers to prove it or disprove it. I thought it would be hard to find the first counterexample and hence I would make the point: Just because a pattern holds for the first 271440 numbers does not mean that it always holds! However, several readers found that 5212=271441 is a counterexample. In fact they found it rather quickly. I thought it would take longer sincethis blog (also my inspiration)by Colin Wright seemed to indicate that fancy data structures and algorithms tricks are... 
The Relevance of TCS
17 Jun 2016  8:35 amAvi Wigderson responds to yesterday's post. 20 years is a long time, and TCS is in a completely different place today than it was then. I am happy to say that internally its members are far more confident of its importance and independence as a scientific discipline, and externally the recognition of that importance by all sciences (including computer science) has grown tremendously. I have no doubt that both will continue to grow, as will its impact on science and technology. Let me address a few aspects of the original post (one can elaborate much more than I do here). Young talent: The way we continuously draw exceptional young talent to our core questions is not just a fact to state  it carries... 
Karp v Wigderson 20 Years Later
16 Jun 2016  5:19 amThe 48th ACM Symposium on the Theory of Computingstarts this weekend in Boston. Let's go back twenty years to the 28th STOC, part of the second Federated Computing Research Conference in Philadelphia. A year earlier in June of 1995, the NSF sponsored a workshop with the purpose of assess the current goals and directions of the theory community. Based on that workshop a committee, chaired by Richard Karp, presented their reportTheory of Computing: Goals and Directionsat the 1996 STOC conference. While the report emphasized the importance of core research, the central thesis stated In order for TOC to prosper in the coming years, it is essential to strengthen our communication with the rest of computer...



Mathematics and Computation

The real numbers in homotopy type theory (CCA 2016 slides)
15 Jun 2016  3:03 amI am about to give an invited talk at the Computability and Complexity in Analysis 2016 conference (yes, I am in the south of Portugal, surrounded by loud English tourists, but we are working here, in a basement no less). Here are the slides, with extensive speaker notes, comment and questions are welcome. Slides: hottrealscca2016.pdf 
A BrownPalsberg selfinterpreter for Gödel’s System T
4 Jan 2016  12:40 amIn a paper accepted at POPL 2016 Matt Brown and Jens Palsberg constructed a selfinterpreter for System $F_\omega$, a strongly normalizing typed $\lambda$calculus. This came as a bit of a surprise as it is “common knowledge” that total programming languages do not have selfinterpreters. Thinking about what they did I realized that their conditions allow a selfinterpreter for practically any total language expressive enough to encode numbers and pairs. In the PDF note accompanying this post I give such a selfinterpreter for Gödel’s System T, the weakest such calculus. It is clear from the construction that I abused the definition given by Brown and Palsberg. Their selfinterpreter has good... 
Postdoc position in Ljubljana
7 Dec 2015  8:36 amA postdoc position in the Effmath research project is available at the University of Ljubljana, Faculty of Mathematics and Physics. The precise topic is flexible, but should generally be aligned with the project (see project description). Possible topics include: <ul> <li> reasoning about computational effects</li> <li> implementation of computational effects</li> <li>proof assistants and formalization of mathematics</li> </ul> The candidate should have a PhD degree in mathematics or computer science, with background knowledge relevant to the project area. The position is available for a period of one year with possibility of extension, preferably starting in early 2016. No knowledge of the Slovene language is required. The candidates... 
Agda Writer
7 Nov 2015  3:06 amMy student Marko Koležnik is about to finish his Master’s degree in Mathematics at the University of Ljubljana. He implemented Agda Writer, a graphical user interface for the Agda proof assistant on the OS X platform. As he puts it, the main advantage of Agda Writer is no Emacs, but the list of cool features is a bit longer: <ul> <li>bundled Agda: it comes with preinstalled Agda so there is zero installation effort (of course, you can use your own Agda as well).</li> <li>UTF8 keyboard shortcuts: it is supereasy to enter UTF8 characters by typing their LaTeX names, just like in Emacs. It trumps Emacs by converting ASCII arrows to their UTF8 equivalents on the fly. In the preferences you can customize the long...</li></ul> 
Provably considered harmful
5 Aug 2015  11:19 amThis is officially a rant and should be read as such. Here is my pet peeve: theoretical computer scientists misuse the word “provably”. Stop it. Stop it! Theoretical computer science is closer to mathematics than it is to computer science. There are definitions, theorems and proofs. Theoretical computer scientists must understand mathematical terminology. The words “proof” and “provable” are in the domain of mathematical logic. A statement is provable if it has a proof in a given formal system. It makes no sense to say “provable” without specifying or implying a specific proof system. But theoretical computer scientists say things like (I just googled these randomly) “A Provably Optimal Algorithm for...



Natural Blogarithms

Why I do what I do
24 Jun 2016  4:30 amAs I glance back over the previous post where I listed out those questions I intend to tackle here, openly on my blog, I noticed a somewhat glaring omission. There are no “Why?” questions, not even the most important one: Why do I do what I do? My life has taking only a small number of twists and turns. In fact, it almost seems as though I have been on track for this current career path ever since I decided to add a mathematics major my second year of college. For those that do not know, I first shopped for colleges based on my intent to enter fulltime vocational ministry. I found Wayland to be that place where there was the greatest personal attention and interest in my own personal success. Some... 
Summer Blog Project
23 May 2016  7:44 amI’m about to ramble so take this as fair warning. My blog has been around for a long time and has meandered through many identity crises. Sometimes, it’s a puzzle blog posting interesting mindbenders that need a keen intellect and occasionally, some mathematics. That’s all still here, by the way, which you can find with a notsodifficult search tool in the sidebar. It’s also been a devotional through my efforts to better understand our responsibilities as stewards of God’s creation. It’s been a log of classroom activities. At one time, I was posting periodically about what I had accomplished in each of my classes. For the last few years, it has been only a repository for sparse events and... 
Grand Canyon – A photographic tour
17 Mar 2016  11:13 pmThese are a collection of my favorite shots from our recent road trip to New Mexico and Arizona. Click to view slideshow. 
My 4x4x4 Assembly Fail
26 Jan 2016  8:25 pmSome time ago, my son shattered his 4x4x4 Rubik’s cube. The core was snapped but all the pieces were recovered. I tried gluing the core back together and reassembling. It went very well until near the end when it exploded and broke again. A replacement part is on the way. Click to view slideshow. 
Creation Care is Worship in Action
5 Nov 2015  5:20 pmI was honored to be asked to write one of the devotionals for our Creation Care emphasis at WBU this week. I thought I’d share what I wrote. “Whatever you do, work at it with all your heart, as working for the Lord, not for human masters, since you know that you will receive an inheritance from the Lord as a reward. It is the Lord Christ you are serving.” Colossians 3:2324 “I should take better care of my things.” Those words, as they came out of my daughter’s mouth were eerily reminiscent of my own childhood mistakes. She had destroyed another pair of earbuds and took full responsibility for their neglect. As for myself, it was me leaving a toy outside to be chewed up my beloved beagle. Later, it...



The Math Less Traveled

The route puzzle
17 Jun 2016  6:24 pmWhile poking around some old files I came across this puzzle: (Click for a larger version.) I didn’t make it, and I have no idea where I got it from (do you know?). But in any case, wherever it comes from, I think it’s a really great puzzle. I did find the number that can make it through the diagram, but I never did completely finish proving that the solution is unique. Can you solve it? Let’s see if we can prove it together. Please don’t post the number in the comments. But please do post proofs that certain combinations of nodes are impossible. For example, you might post a proof that no triangular number can be one more than a prime; that would mean the leftmost path is impossible. 
The Recamán sequence
12 Jun 2016  9:23 pmI recently learned about a really interesting sequence of integers, called the Recamán sequence (it’s sequence A005132 in the Online Encyclopedia of Integer Sequences). It is very simple to define, but the resulting complexity shows how powerful selfreference is (for both good and evil). Here’s the definition. The first term of the sequence is , and each term differs from by . Now, if were always just more than , we would have the triangular numbers: Note how is one more than ; is more than ; is more than ; and so on. But that’s not quite how the Recamán sequence is defined. In the Recamán sequence, “wants” to be less than : it will be so if is nonnegative and has not already... 
Apollonian gaskets and Descartes’ Theorem II
10 Jun 2016  7:51 pmIn a few previous posts I wrote about “kissing sets” of four mutually tangent circles, and the fact that their signed bends satisfy Descartes’ Theorem, (Remember that the signed bend of a circle is like the curvature , except that if one circle contains the other circles inside it, we give the outer circle a negative bend.) As I explained previously, if we have the bends of three mutually tangent circles, we can compute the possible bends of a fourth circle using the formula , where is the sum of the other bends and Moreover, the two solutions for have the property that so if we have one of them we can easily “flip” to the other one. Doing these repeated “flips” results in an... 
10th anniversary of TMLT!
2 Jun 2016  11:07 amIt’s a little hard to believe, but The Math Less Traveled recently had its 10th anniversary! I started it back in March 2006, while I was teaching high school math. Since then I’ve written 333 posts (a bit more than one every 11 days on average) with over 2000 comments. Here are just a few of my personal favorite posts: <ul> <li>The Nuclear Pennies Game</li> <li>Distributing cookies: solutions</li> <li>The hyperbinary sequence and the CalkinWilf tree</li> <li>mbracelets</li> <li>Triangular number equations via pictures: solutions</li> <li>Computing with decadic numbers</li> <li>Mystery curve, animated</li> <li>Post without words #5, explained</li> <li>An amazingly symmetric icosahedron edge coloring</li> </ul> Probably my most controversial post (and the one that generated the most... 
Factorization diagram cards!
31 May 2016  11:37 amI’ve designed a set of factorization diagram cards and had them actually printed. This is one of the first times in my life when I have caused Actual Physical Objects to be created (other than using a printer I guess) so this is a pretty big deal for me! There’s still some kinks to work out with the design, but I hope to make decks of these cards available for purchase soon. I made a video of me opening the box, check it out:



WordPress Tag: Mathematics

A Radial Tessellation On the Topic of the Difficulty in Tessellating with Regular Pentagons
28 Jun 2016  3:00 pm 
MathematicsHow to teach elementary children about the Pythagorean Theorem
28 Jun 2016  2:24 pmTypically, the Pythagorean theorem is studied right after square roots or in a geometry course. This happens usually in middle school, not in elementary grades. Read More… 
Percent Problems from 1868
28 Jun 2016  11:55 amIntroduction After presenting percent and having students work many problems from the text, I decided to give them a set of problems from 1868. I did this for several reasons: first, I gave this as an inclass quiz in which I allowed the entire class to discuss strategies, compare answers, and work with others. I roamed the room to watch things happen. Second, I gave these problems because they all had fractions in them as well as related information that they had to decide where it fit in the problem. Problems like these are rare in today’s texts. It was a real challenge for the class but some of the students actually said it was fun! The story begins with a copy of what I handed to them. I’d like to... 
Estimating The Predictability Of Time Series Data  Part II
28 Jun 2016  10:00 amIn the previous blog post, we discussed various types of time series data. We understood the concepts of stationarity and shocks. In this blog post, we will continue to discuss how we can estimate the predictability of time series data. People say that future is unpredictable. But that’s grossly reductive! What they actually mean to say is — I’m blindly assuming that my time series data is nonstationary, so I cannot accurately predict what’s going to happen in the future. Predicting future values can open a lot of doors in the Internet of Things (IoT) ecosystem. Before we can forecast future values, it’s important to determine if the time series data exhibits any properties that can be modeled. If not, we... 
Interlude 30
28 Jun 2016  8:35 amA short story continued … He wondered about the number of books published each year about the pernicious effects of thinking. A bit like realists who believe that the “real world” is so evidently so that nothing need be said about it. Except for the fact that realists keep writing books about realism. They, not unlike the unthoughtful ones, want to persuade us by means of persuasive argument that we need not think about what we are in fact thinking about. These highfalutin reflections may very well look like more “pathology” (as noted in the previous “Interlude 29”). Leaving philosophy and other indulgences of thought aside, he wondered if a mathematician’s thought would also be considered among the...



mathrecreation

more Chladni figures in R
24 Jun 2016  5:02 pmFollowing on from an earlier post, the Chladni images here are made using a slightly modified version of the same R script (source here), which uses cosines instead of sines. If you imagine the square of the vibrating surface to be fixed at the center (as depicted below), using cosines seems the natural choice. When modeling standing waves, cosines are used to model openended pipes, while sines are used to model fixedend strings.Playing around with cosinebased formulas led to some images that seemed very close to Chadni's own diagrams, which can be found in an appendix to his book on Google books.For a few of these I've uploaded the scripts that produced them.Chladni image 40 bSourcehere.Chladni image... 
Rascal Triangle
24 Jun 2016  8:09 amA few early iterations of something produced by a short script in R. What is it? You may see it more clearly in some of its later stages of development.Yes, it is Pascal's Triangle modulo 2  I knew you would recognize it :). The R source for generating these images is here. Like other recent posts, this is another example of using R in some simple programming exercises, pretty much completely unrelated to its intended purpose as a language for statistical computing. A wile back, there was a post about using TinkerPlots, a data management software tool for young folk, to do something similar (more detailed instructions on drawing a general Pascal Triangle in TinkerPlots can be found in this article), 
chladniesque figures in R
15 Jun 2016  8:54 pmsome Chladniesque figuresContinuing on from this post, I am playing around with some unusual R language programming activities by creating some simplified Chladni figures.Named for Ernst Chladni, these figures represent nodal patterns formed by vibrating surfaces.Traditionally, these are formed placing fine particles on a surface, like a sheet of metal that is set vibrating (a violin bow against an edge of the metal plate is one popular method). The particles settle in the areas of the surface that have the least motion  the nodes. When you achieve a resonant frequency, a characteristic pattern emerges.some more Chladniesque figuresChladii was not the first to study these, but his enlightenmentera... 
some tilings on regular grids
16 May 2016  7:33 pmThe only regular polygons that can tile the plane by themselves are equilateral triangles, squares, and regular hexagons (these are the regular tilings).In the previous post, we noticed that the regular hexagon tiling can be used as a basis for creating decorative tilings of other polygons, such as nonagons, decagons, 15gons, and so on, that include increasingly curved (but still polygonal) sixpointed stars to fill in the gaps, observing with the help of a formula form another post, that polygons that can be arranged around a regular hexagon like this have a number of sides equal to a multiple of 3.15gons on a regular hexagonal gridWe can do the same sort of thing with the regular triangle tiling,... 
a tiling of regular nonagons and stars
13 May 2016  10:34 amWhen I found this nice nonagon and star tiling, I couldn't get They Might Be Giants out of my head. The underlying symmetry comes from hexagons though:The relationship described in the previous post tells us that the next regular polygon that can be put around a hexagon like this is the dodecagon (see the line k = 6):And sure enough, these dodecagons can also form a nice hexagonbased tiling, with somewhat pointier stars.The k = 6 line above gives us a whole family of polygon and star hexagonal tilings that follow the relationship n = 3m + 3 the stars don't start to appear until m = 2



Math ∞ Blog

10 Great Programming Languages for Mathematics
22 Jun 2016  9:35 amAs someone who is passionate about both mathematics and programming languages, I thought I would share what I consider to be 10 great programming languages for mathematics. I aimed for variety in doing so, to give you a broad spectrum of approaches to programming and problem modeling. The language descriptions are straight from their respective sites or wikipedia pages, but I’ve added my two cents throughout the list as well. 1. Wolfram Language The Wolfram Language is the programming language of Mathematica and of the Wolfram Programming Cloud. It is a general multiparadigm programming language developed by Wolfram Research. It was designed to be as general as possible and emphasizes symbolic... 
Summing It Up Giveaway Winner
22 Jun 2016  9:29 amCongratulations to Trevor H. of Australia, for winning our first Math Blog giveaway. 400 entries were received; not a bad turnout at all, if I may say so myself. I’m already looking forward to the next giveaway – as I hope you are, too. And don’t forget to subscribe if you haven’t already, so as to not miss any of our future contests or posts. 
GIVEAWAY: Enter to win a copy of Summing It Up
15 Jun 2016  2:31 amPrinceton University Press recently published a great book called, Summing It Up: From One Plus One to Modern Number Theory by Prof. Avner Ash and Prof. Robert Gross. This week we are giving away a copy to one lucky reader. To enter Math Blog’s first giveaway, please follow the instructions below. The plan, if all goes well, is to have a regular monthly giveaway with equally appealing prizes offered up each time. Prize details Summing It Up is a highly interesting and ambitious book. Its aim is to explain challenging modern number theory concepts, such as modular forms, starting with the very basics of addition. Further, the book doesn’t assume that the reader has more than calculus level... 
Solomon Golomb’s Legacy
8 Jun 2016  7:00 amLast month, the mathematics and tech communities lost a giant. Solomon Golomb’s discoveries in polynomials led to technology behind some of the most used devices society depends on today. The logic behind 3G, LTE, WiFi, Bluetooth and even GPS all use polynomials that determine the shift register sequences these systems use to encode the data they send. His insight into polyominoes later inspired Tetris (“tetromino tennis”). He created and solved countless math and wordplay puzzles. He also significantly contributed to United States’ understanding and exploration of space. The impact Solomon Golomb left cannot be overstated, sparking Stephen Wolfram, the founder and CEO of Wolfram Research, to reflect on... 
May 2016 Noteworthy Math Books
1 Jun 2016  7:00 amIt’s hard to believe that a month has already passed since April’s edition of this new math book series. I received good feedback on that first post (elsewhere, not in the comments) and as a result, I have incorporated some of those suggestions in this month’s edition. Namely, I added a descriptive line for each book, and separated them in broad categories. Popular Mathematics Books Summing It Up: From One Plus One to Modern Number Theory Stores: USA  Canada  Kindle  UK Kindle “It offers a clear and beautiful progression from addition to modern number theory.” By Avner Ash, Robert Gross ISBN: 0691170193 Publisher: Princeton University Press Publication date: May 17, 2016 Binding: Hardcover Estimated...



MIND Research Institute Blog

Math Books for Kids: Combining Story, Puzzles and Problem Solving
28 Jun 2016  9:00 amMath is all around us, and stories areone way we attempt to understand the world around us. So it is no surprise that there are some good books out there thatuse storytelling to explore math concepts. We asked MIND colleagues to recommend their favorite math books for kids.Educators and parents can use these books to introduce new math concepts, engage childrenin math puzzles, and change perceptions about math. When we bring out the stories, puzzles and problemsolving inherent in math, childrencan better understand and see the math in the world around us! Books to Practice Counting and Develop Number Sense Anno's Counting Book, byMitsumasa Anno Anno’s Counting Book is an educationally rich,... 
Perfect Pair: Cognitively Guided Instruction and ST Math
23 Jun 2016  9:00 amBy Darcy Lewis, Huntington Beach City SD Seven years ago, a visit to watch a fellow teacher use Cognitively Guided Instruction (CGI) in her classroom changed my life. I thought: “Wow, how cool — one rigorous word problem solved in a variety of ways was used to teach kids math.” Over the next year, I made up these grand word problems, posed them to my students and had them share their answers. Then, I found out what CGI really was and boy, I had it ALL wrong! In CGI and ST Math, Students Take the Lead After three years of CGI training, I realized that it is so much more than just solving a word problem. CGItrained teachers use the way their students are thinking about math to guide... 
YearEnd ST Math Celebrations of Learning and Success
21 Jun 2016  11:23 amCartwheels, video compilations and virtual Q&As  these are some of our favorite waysthat our ST Math partner schools celebrated their achievements this school year. Teachers took to Twitter and Facebook to share how they recognized their students’ hard work before summer break. And from coast to coast, you can see how JiJi Culture is changing the perception of math across the country! An assistant principal in Las Vegas, NV, literally does cartwheels in front of students to celebrate their progress in ST Math. Sunrise Acres Elementary School ended the school year reaching their goal of 400 student graduates on ST Math! As promised, Assistant Principal Kim Basham performed cartwheels... 
Here's How To Get Kids Excited About Math (Yes, It's Possible!)
16 Jun 2016  12:00 pmI'll never forget my first day as a high school teacher in America. My dream was pretty simple: Mold eager minds into future science, technology, engineering and math leaders who will help define the 21st century. My reality was a little different. I walked into the classroom armed with a mathematics degree from the University of London, a little prior teaching experience at a small prep school in rural England, and grand ideas about changing the world and inspiring my students. I thought I was ready to take my kids on a journey through math that they would remember for the rest of their lives. Boy, was I wrong. I discovered that most of my students were repeating basic algebra—some for the third... 
9 Enlightening Summer Reads for Math Teachers
14 Jun 2016  9:00 amSummer is upon us, and thatcalls for books to enjoywhile loungingpoolside.We asked MIND Research Institute staffto recommend their favorite mathematically themedreads, and their picks run the gamut of genres from scifi to psychology. Add a few of these to your summer reading list for completely guiltfree and possibly enlightening pleasure. The Martian, by Andy Weir Mark Watney is living an astronaut’s worst nightmare: being stranded on Mars. Despite having very limited supplies, Mark uses his math and science knowledge as well as problemsolving skills to plan out how to survive the next four years and get to the landing site of the next mission. The character’s humor, persistence and...



Teach Math Free

Distance Learning & online Degrees  From the experts
21 Jun 2016  6:09 amWhat is distance learning? Distance Learning  Is an instructional delivery system, where lessons/ classes are broadcast through media sharing platform to the end user taking the course. The end user is free to take the classes from any corner of the world provided he has some basic infrastructure like a computer and an internet... The post Distance Learning & online Degrees  From the experts appeared first on Teach Math Free. 
Ringing Bells Freedom 251 Mobile News India
17 Feb 2016  5:08 pmThe Make in India Initiative brings out a gem  Freedom 251. The Noida based company in India has captured the imagination of billions by launching a phone cheaper than $4 (Rs. 251). The Freedom 251 is a boon to people of the world and an indication of Indian capabilities. The phone breaks all the barriers... The post Ringing Bells Freedom 251 Mobile News India appeared first on Teach Math Free. 
Basic card tricks  how to do card tricks?
6 Feb 2016  9:49 pmI have always been a big fan of card tricks. However, I have seen very small basic card tricks. This is one card trick that is elaborate and involves logical mathematical calculations. This is one of the most impressive hand tricks I have come across. Best card tricks are those that do not make the observer... The post Basic card tricks  how to do card tricks? appeared first on Teach Math Free. 
Short Tricks for Maths  Maths Magic Numbers
23 Dec 2015  8:25 amHave you ever tried to weave magic with numbers. I have time and again looked for short tricks for presentation in math class. Today I put you to video from Howcast that takes magic back to mathematics. A series of simple mathematical calculation leading to a result 1089 with the choice of any number. Choose... The post Short Tricks for Maths  Maths Magic Numbers appeared first on Teach Math Free. 
Math Magician  A Human Number Game Entertainer
19 Dec 2015  6:34 pmHow often have we gone about looking for a movie trailer or a comic piece to entertain us? Have you ever thought back that "Math" could be another option to entertain? Something that could just make you wonder. Probably a number game entertainer? Today I came across one such video as a part of TED... The post Math Magician  A Human Number Game Entertainer appeared first on Teach Math Free.



fxsolver.com  Latest entries

10+X Series and Progressions
24 Jun 2016  6:32 amInmathematics, aseriesis, informally speaking, the sum of the terms of aninfinite sequence. The sum of a finite sequence has defined first and last terms, whereas a series continues indefinitely. Apart from awesome, they are also super useful. 1. Arithmetic progression An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant and is calling common difference. The behavior of the arithmetic progression depends on the common difference . If the common difference is: Positive, the members (terms) will grow towards positive infinity. Negative, the members (terms) will grow towards negative infinity. 2. Fibonacci numbers The famous... 
10 Trigonometry equations a student should know
16 Jun 2016  10:12 amTrigonometry is one of the core courses school students study in numerous countries accross the globe. We searched and found the 10 most useful formulas a school student might encounter. 1.Pythagorean theorem (right triangle) Determines the length of the hypotenuse of a right triangle based on the lengths of the other two sides. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The Pythagorean equation relates the sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found. 2.Area of an arbitrary triangle The area of an arbitrary... 
10 formulas a Doctor should know
10 Jun 2016  3:12 amDoctors are smart people but lots of them hated math in school and though that after becoming doctors, they would never have to solve an equation again! Well think again, while reading the 10 formulas a Doctor should know and use. 1. Airway Conductance In respiratory physiology, airway resistance is the resistance of the respiratory tract to airflow during inspiration and expiration. It is markedly affected by changes in the diameter of the airways, therefore diseases affecting the respiratory tract can increase airway resistance. Airway Conductance is the mathematical inverse of airway resistance. 2. Blood pressure Blood pressure is related to the wall tension of the artery or vein, according... 
Top 10 Radar and Radio Formulas
3 Jun 2016  2:57 amRadar is an object detection system that uses electromagnetic waves to identify the range, altitude, direction, or speed of both moving and fixed objects. Radar and Radio are using similar formulas and they share some of them with telecommunications like the ones we presented in our Top 10 TelecommunicationsFormulas post. 1. Radar Range To calculate the range of a radar you need to know, the transmitted pulse peak power, the maximum power gain of antenna, the Radar cross section area, the antenna aperture, the minimum detectable signal of receiver, and… pi (spoiler alert, it's 3,14). 2. Radiant Exitance (real surface) In radiometry, radiant exitance is the radiant flux emitted by a surface per... 
Top 10 Telecommunications Formulas
27 May 2016  2:40 am1. Antenna Gain In electromagnetics, an antenna’s power gain or simply gain is a key performance figure which combines the antenna’s directivity and electrical efficiency. As a transmitting antenna, the figure describes how well the antenna converts input power into radio waves headed in a specified direction. As a receiving antenna, the figure describes how well the antenna converts radio waves arriving from a specified direction into electrical power. 2. Beamwidth – Parabolic Antenna The beam diameter or beam width of an electromagnetic beam is the diameter along any specified line that is perpendicular to the beam axis and intersects it. Since beams typically do not have sharp edges, the diameter...



Math Vault

Infinite Limits and the Behaviors of Polynomials at the Infinities — A Theoretical Musing
17 Jun 2016  1:55 pmegardless of your early surrounding or schooling background, we know for one that there are two kinds of mathematical objects that are kind of hard to miss in life. The names? Polynomial and Infinity! While the former might have sounded a bit like the name of a snake, polynomials is a oneofitskind mathematical entity whose perfection defies our mathematical imagination. For […] The post Infinite Limits and the Behaviors of Polynomials at the Infinities — A Theoretical Musing appeared first on Math Vault. 
Chain Rule for Derivative — Venturing Into The Dark Side Beneath Applied Calculus…
5 Jun 2016  7:38 pmo the surprise of many math enthusiasts and the like, it seems that we have been pulling out on an incredible amount of calculus modules these days. Of course, if you have had any terrible experience in learning just the mechanics of calculus, this seeminglyrelentless outpouring of materials could make you want to puke. However, if that header […] The post Chain Rule for Derivative — Venturing Into The Dark Side Beneath Applied Calculus… appeared first on Math Vault. 
The Exponent Rule for Derivatives — Your OneStop Shop to StaircaseLooking Functions
21 May 2016  2:51 pmike the featured image above? Good for you! As students (fanatics?) of mathematics and other technical sciences, we have an intuitive appreciation of the role this topic — calculus — plays out in our daily life. While obviously not a subject to be mastered overnight, what’s true is that our first exposure to it tends to be […] The post The Exponent Rule for Derivatives — Your OneStop Shop to StaircaseLooking Functions appeared first on Math Vault. 
The Ultimate Guide to Logarithm: Basic Theory Commonly Missed in High School Which Turns a Log Noob into a Log Whiz
8 May 2016  12:56 amor the very vast majority of humans on earth, there is a topic found in the good old math textbooks that many of us still even dread contemplating about, as it seems to mess with our brain in a rather particular way. The name? — or Logarithm in English to be sure! As terriblesounding as it is, logarithm […] The post The Ultimate Guide to Logarithm: Basic Theory Commonly Missed in High School Which Turns a Log Noob into a Log Whiz appeared first on Math Vault. 
Integration Technique Series — How to Make Use of the Overshooting Method and Integrate with Ease
4 Apr 2016  12:42 amey! Greeting from a bunch of postAprilFool bunnies who never managed to get their modules published on time — because they were simply too busy eating Easter eggs and shooting for the moon. 🙂 Moving onto a more serious topic though, if you’re currently into (or have been into) this thing called integral calculus, you might know from firsthand […] The post Integration Technique Series — How to Make Use of the Overshooting Method and Integrate with Ease appeared first on Math Vault.



StudyPug

Study Companion – Homeschooling Help
24 Jun 2016  10:27 amHomeschooling is blending with other education movements and has created an educational model that is far more dynamic and adaptive than the schooling patterns of the past. Though dissatisfaction with the quality and content of instruction at local public schools heads the list of why many choose homeschooling, modern technology and online learning has put all of history’s collected knowledge at parents and students fingertips. In other words, no homeschooling parent needs to become an expert on differential equations. He or she can simply visit sites like Studypug and find tailored, targeted videos that break down specific problems for students and parents. StudyPug.com offers 24/7 quality math help and... 
Homeschooling and the AfricanAmerican Community
16 Jun 2016  1:00 amAs homeschooling in the United States has moved from being a fringe activity to a popular one, AfricanAmerican families have been one of the fastest growing segments of the homeschooling population. The National Home Education Research Institute, a notforprofit organization that collects data about homebased education, has estimated that 15 per cent of the homeschool population in the United States is nonwhite/nonHispanic. African American Homeschooling “We do know from empirical evidence—not a lot, but some empirical evidence—that over the last 10 to 12 years, it has grown disproportionately faster among minorities, including blacks, than the general rate of growth,” Brian Ray, the NHERI... 
Urban Homeschooling – Not Just Small Town Anymore
10 Jun 2016  1:00 amHomeschooling has morphed from an unusual phenomenon to an accepted educational alternative. Christian Homeschooling A Part of the Mix In the United States, it is no longer solely the province of Christian families who disapprove of a liberal curriculum. Homeschoolers can be found throughout the country, with large concentrations in metropolitan areas. In fact, the percentage of urban children who are homeschooled is almost as large as that of their suburban and rural counterparts. The students, too, are as diverse as the urban populations themselves. In Canada, homeschooling officially celebrated its 40th anniversary in 2015, and here, too, it has grown in popularity. As of 2012, more than 21, 600... 
Homeschooling Gives Kids an Academic Edge
3 Jun 2016  2:18 pmHomeschooling is gaining momentum in the United States. No longer an oddball option for families on the fringes of society, it is attracting families of all political stripes, religious beliefs and geographic locales. Homeschooling Programs Going Mainstream There are approximately 2.3 million American youth who are taught at home today, according to the most recent statistics from the National Home Education Research Institute (NHERI), a notforprofit organization that tracks data about homeschooling. In fact, the population of homeschoolers has more than doubled since 2003, when only 1.09 million students learned at home and continues to grow at a rate of two to eight per cent annually. Most parents... 
Girls in STEM Programs
20 May 2016  4:23 pmThere’s a gender gap worldwide in the science, technology, engineering and math (STEM) workforce. Although the numbers and percentages vary by country, women everywhere are far less likely to pursue an education or a career in a STEM field. Given that women comprise 50 per cent of the global population, there’s a remarkable waste of potential taking place. In addition, STEM skills are increasingly important in the job market. The Million Women Mentors organization estimates that 71 per cent of all jobs in the United States 2018 will require these skills. If we don’t interest girls in STEM subjects while they’re young, there is a danger that they will be left behind when it comes to career...
