Category Archives: math

What Is The Shape of the Universe (Video)

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(Important Changes) PSLE Math: Arrow -> vs Equal=

Source: Facebook For those taking PSLE, please take note of this important update regarding the difference between arrow and equal sign. Forward this to your friends taking PSLE! Basically, I think MOE is trying to instill students to be mathematically … Continue reading

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PhD Comic: 大智若愚

The new PhD Comic is related to the Chinese proverb: 大智若愚, which is roughly translated as “a wise man looks stupid.; great wisdom takes the looks of folly [appearance of stupidity]”.

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SG Education News: More places for Medicine Students

Good news for those aspiring to be medical doctors. Med school places to rise to 500 by next year The Straits Times The National University of Singapore (NUS) has had more than 2,000 top students fight for the 300 spaces … Continue reading

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Les Categories Pour Les Nuls

Originally posted on Math Online Tom Circle:
“Categories for Dummies” (French) https://youtu.be/LVHoROSF3KA Example 1: Paris (P) -> Rome (R) -> Amsterdam (A) Objects: cities {P, R , A} Morphism (Arrow): railway? Identity: railway within the city Associative: (P -> R)…

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Debate (French): Set Theory vs Category Theory

Originally posted on Math Online Tom Circle:
https://sites.google.com/site/logiquecategorique/dcm 4. Category, Logic and IT https://youtu.be/Shk3TNagC-4

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An Introduction to N-Categories

Originally posted on Math Online Tom Circle:
Tom Leinster N = 0 : 0-Cat? => Set, 0-morphism = function N= 1: 1-Cat? => Cat, 1-morphism = functor N= 2: 2-Cat? => 2-morphism = Natural Transformation ? ? Definition of n-Category:?…

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Category Theory : “How to Make Pi”

Originally posted on Math Online Tom Circle:
Dr. Eugenia Cheng – Professor of Category Theory (Chicago University) Author of the Best Selling Category Book Book : (for readers from 7-year-old to high school and undergraduate students) “How to Bake Pi…

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Program = Category 

Originally posted on Math Online Tom Circle:
2017 Keywords:? Category? Monad = Monoid + Endofunctor Category Theory is replacing Set Theory as the foundation of Math. Nowadays, ?few Advanced Math papers are written without using Category to explain, and this…

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Free tutoring app for peer-tutoring

Do try out the new app AsknTeach. Quite a good idea, the app creator reportedly invested more than $100,000 to $200,000 into it. Only problem I can foresee is that overall quality of answers may not be that good, since it … Continue reading

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Integral Domains 整环 (Abstract Algebra)

Originally posted on Math Online Tom Circle:
Remember when you cancel a common factor at both sides of an equation, you must check if the factor is non-zero, otherwise you would miss some answers. This is about Cancellation Law, related…

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South Korean Young Mathematician June Huh

Originally posted on Math Online Tom Circle:
A weak South Korean Math student?June Huh?becomes a top Mathematician in the Princeton Institute for Advanced Study by proving the Read’s Conjecture and Rota Conjecture. “A path less taken to the peak of…

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Summary: Shapes, radius functions and persistent homology

This is a summary of a talk by Professor Herbert Edelsbrunner, IST Austria. The PDF slides can be found here: persistent homology slides. Biogeometry (2:51 in video) We can think of proteins as a geometric object by replacing every atom by a … Continue reading

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Brain has 11 dimensions

One of the possible applications of algebraic topology is in studying the brain, which is known to be very complicated. Site: https://www.wired.com/story/the-mind-boggling-math-that-maybe-mapped-the-brain-in-11-dimensions/ If you can call understanding the dynamics of a virtual rat brain a real-world problem. In a multimillion-dollar supercomputer … Continue reading

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How to explain this math magic trick?

Quite impressive math magic trick, that even impressed the very strict judge Simon Cowell. I am not sure how he did it, other than possible prearranged volunteers. Another possibility is that the calculator is modified. Site: http://www.usmagazine.com/entertainment/news/americas-got-talent-contestant-performs-crazy-magic-trick-w488672 London had the volunteers … Continue reading

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Is There a Multi-dimensional Mathematical World Hidden in the Brain’s Computation?

Originally posted on Math Online Tom Circle:
“Algebraic Topology” can detect the Multi-dimensional neural network in our brain – by studying the Homology (同调) and co-Homology (上同调) with the help of Linear Algebra (multi-dim Matrix) & ?Computers. Homology = compute…

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What is math? 

Originally posted on Math Online Tom Circle:
What is Math ? https://infinityplusonemath.wordpress.com/2017/06/17/what-is-math/ Mathematics?= “that which is learned“ –(Pythagoras) Math is not about calculation, it is understanding the nature, the universe, the philosophy (logic, intelligence – both “human” and “artificial”)… What…

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Yitang Zhang’s Santa Barbara Beach Walk

Professor Yitang Zhang is a famous Math professor who made important progress in number theory (Twin Prime Conjecture). Most strikingly, he made this progress in his fifties, which is kind of rare in the mathematical world. Source: Quanta Magazine Yitang … Continue reading

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Finally received WordAds payout by WordPress

Thanks to all readers of mathtuition88.com, I have received WordAds payout by WordPress. Mathtuition88.com first joined WordAds in 01-2014, where the payout was quite miserable (less than $1 for 5000 views). The payout has since increased considerably, thanks to higher quality … Continue reading

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Singapore Math for  Primary School Kids

Originally posted on Math Online Tom Circle:
Singapore scores the 2017 PISA Test World’s First in Math. Below is the “Singapore Math” shown by an USA School adopting the pedagogy. https://youtu.be/SlAEvaxMzXQ I had the opportunity to meet the inventor of…

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Guide to Starting Javaplex (With Matlab)

Guide to Starting Javaplex (With Matlab) Step 1) Visit https://appliedtopology.github.io/javaplex/ and download the Persistent Homology and Topological Data Analysis Library 2) Download the tutorial at http://www.math.colostate.edu/~adams/research/javaplex_tutorial.pdf and jump to section 1.3. Installation for Matlab. 3) In Matlab, change Matlab’s “Current … Continue reading

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Subtle Error in Wikipedia: Dedekind’s number

On Wikipedia (https://en.wikipedia.org/wiki/Dedekind_number), it is stated that the Dedekind’s number M(n) is the the number of abstract simplicial complexes with n elements. This is incorrect, at least based on the Wikipedia definition of abstract simplicial complex, which does not allow the … Continue reading

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Habitica Mage Highest Intelligence Gear Guide

Habitica is a productivity app, something like a to-do list in a gamified form. Users gain experience and gold from completing tasks, and can join in quests with a party to defeat monsters. The mage class has one of the highest … Continue reading

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Donald Trump Math: 17×6=?

What is 17×6? (without using calculator) Practicing basic mental math without calculator is good. Even for PSLE, where calculator is allowed, it is a good idea not to rely on it too much.

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Pi hiding in prime regularities

Originally posted on Math Online Tom Circle:
Three mysterious Math Objects: Pi,? Complex Numbers,? Prime Numbers are hiding in circle. https://youtu.be/NaL_Cb42WyY

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5 Math Tips That Will Speed Up Your Calculations

5 Math Tips That Will Speed Up Your Calculations For most students, regardless of their age, studying math seems like a nightmare. Taking tuition for maths helps when you or your child struggle with calculations. Check out these 5 simple … Continue reading

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AI “AlphaGo” beats World’s Best Go Player Ke Jie in 1st Match

Originally posted on Math Online Tom Circle:
After the defeat in 1st match, Ke Jie said “AlphaGo is approaching God!”.? This version of AlphaGo is 10x more powerful than last year’s version which has beateb the South-korean Go player Lee.…

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Google officially supports Kotlin from May 2017

Originally posted on Math Online Tom Circle:
Kotlin is the “New Java” officially supported by Google from May 2017! It is less verbose (罗唆) than Java which is clumsy with boilerplates (样板), ?interoperates with Java on JVM, with modern functional…

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Math Tricks found in Chess

Just read this very nice article on Quora, on the relationship between Math and Chess: https://www.quora.com/What-math-tricks-are-hidden-in-chess Also interesting is this YouTube documentary “My Brilliant Brain” featuring Susan Polgar. Author: Tom Boshoff, Engineering student and math enthusiast Updated May 8 There’s lots … Continue reading

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French youngest President Emmanuel Macron and his Education 

Originally posted on Math Online Tom Circle:
Emmanuel Macron is the youngest French President (39) since Napoleon Bonaparte (40). A brilliant student since young, he impressed his secondary school Drama teacher 24 years older, finally married her. Like any genius…

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LaTeX Thesis Template

This site (https://www.sharelatex.com/blog/2013/08/09/thesis-series-pt5.html) has a guide on how to create your own template for a thesis. Quite nice and simple, and easily customizable. The actual Tex source code is found here: https://www.sharelatex.com/project/51fa85c3db89c3c351085071. I like it as the source code is neat … Continue reading

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Math Olympiad Tuition

Maths Olympiad Tuition Tutor: Mr Wu (Raffles Alumni, NUS Maths Grad) SMS/Whatsapp: 98348087 Email: mathtuition88@gmail.com Syllabus: Primary / Secondary Maths Olympiad. Includes Number Theory, Geometry, Combinatorics, Sequences, Series, and more. Flexible curriculum tailored to student’s needs. I can provide material, or … Continue reading

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Nanyang Girls NYGH starts school later at 8.15am

Very good idea by NYGH. Sleep is important for students. SINGAPORE: For almost a year now, Nanyang Girls High (NYGH) students have been starting school at 8.15am – a good 45 minutes later than most secondary schools. And the results have … Continue reading

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Jurong East Maths Tuition

Maths Tuition Tutor (Mr Wu): – Raffles Alumni – NUS 1st Class Honours in Mathematics Experience: More than 10 years experience, has taught students from RJC, NJC, ACJC and many other JCs. Also has experience teaching Additional Math (O Level, … Continue reading

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BM Category Theory II 8: F-Algebra, Lambek’s Lemma , Catamorphism, Coalgebra, Anamorphism

Originally posted on Math Online Tom Circle:
[Continued from previous BM Category Theory …] Intuition: [Artificial Intelligence] You teach the computer, like a Primary 6 kid, that Algebra is a?type of expression (f) which, after evaluation, ?returns a value. If…

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Bukit Batok Maths Tuition

Maths Tuition Tutor (Mr Wu): – Raffles Alumni – NUS 1st Class Honours in Mathematics Experience: More than 10 years experience, has taught students from RJC, NJC, ACJC and many other JCs. Also has experience teaching Additional Math (O Level, … Continue reading

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Renowned Chinese mathematician Wu Wenjun dies at 98

Source: https://news.cgtn.com/news/3d517a4e33637a4d/share_p.html Wu Wenjun, distinguished mathematician, member of the Chinese Academy of Sciences (CAS), and winner of China’s Supreme Scientific and Technological Award winner, died at the age of 98 on Sunday in Beijing, according to the CAS. Wu was … Continue reading

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Rise in WordAds earnings March 2017

WordPress and WordAds have been doing a good job, I must say. In this year (2017), the earnings have increased gradually for my site (view count is approximately constant). Certainly a great improvement from 2016, where I got a measly … Continue reading

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Ye Sons and Daughters (O Filii et Filiae)

Nice traditional hymn.

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What is a Module (模)? 

Originally posted on Math Online Tom Circle:
Replace Field scalar as in a Vector Space to Ring scalar in a Module. https://youtu.be/IvukAijXgLE Module is more powerful than Vector Space – because Ring has an “Ideal” (理想) which can partition it…

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American Genius Series 1 1of8 Jobs vs Gates (2015)

Originally posted on Math Online Tom Circle:
https://youtu.be/prstbP2cG6M

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Structure Preserving

Originally posted on Math Online Tom Circle:
Abstract Algebra studies all kinds of?mathematical structures?(Group, Ring, Vector Space, Category, …) , and relationship between them if the structures are preserved after mapping.

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The Cry of the Poor by John Michael Talbot

Recently I discovered a classical guitar Christian composer on YouTube – John Michael Talbot. His music is quite amazing, and one of a kind. The Cry of the Poor 2. Be not afraid

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Five Loaves and Two Fishes – Corrinne May (Illustrated)

Corrinne May is a Singaporean singer.

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Mathematics: Beauty vs Utility – Numberphile

Originally posted on Math Online Tom Circle:
https://youtu.be/xopM9BFjcNo

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2 minutes pour le théorème de Bézout

Originally posted on Math Online Tom Circle:
https://youtu.be/0_ZzZzvxnP0

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Maths -Topologie

Originally posted on Math Online Tom Circle:
https://youtu.be/L3HXZfLsuXU

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How the Staircase Diagram changes when we pass to derived couple (Spectral Sequence)

Set and . The diagram then has the following form: When we pass to the derived couple, each group is replaced by a subgroup . The differentials go two units to the right, and we replace the term by the … Continue reading

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How do you overcome the fear of the future? Pope Francis provides the keys

Source: http://aleteia.org/2017/04/26/how-do-you-overcome-the-fear-of-the-future-pope-francis-provides-the-keys/ Have you ever been gripped by a fear of the future that left you walking in circles or paralyzed from moving forward? Today, Pope Francis provided a deeper answer to this common human fear, urging Christians to remember that faith is the anchor … Continue reading

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Relative Homology Groups

Given a space and a subspace , define . Since the boundary map takes to , it induces a quotient boundary map . We have a chain complex where holds. The relative homology groups  are the homology groups of this … Continue reading

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