Category Archives: math

Hokkaido University Photo Gallery and Trip Guide

These photos are from a trip to Hokkaido University in August 2017. Hokkaido University is just walking distance away from Sapporo station, and is worth spending an afternoon there. Admission is free. Even in the hottest summer, Hokkaido has cool … Continue reading

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8 Facts About Infinity That Will Blow Your Mind

Nice article on infinity. Also little known is the fact that the symbol of infinity was introduced by clergyman and mathematician John Wallis, hundreds of years ago in 1655. Although not well-known, John Wallis was a talented individual as can … Continue reading

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Fave (previously Groupon) FREE Promo Code

FREE Promo Code discount: http://myfave.com/invite/KJMDZ?city=singapore Fave (previously known as Groupon) is a fantastic deals site that offers many discounts. It includes discounts to many restaurants/buffets in Singapore. Quite many famous restaurants are offering discounts there: e.g. Dancing crab, Mouth Restaurant, Ah … Continue reading

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Increased Tax for US PhD Students

This is very bad news. Graduate students are already poor (stipend is already low to begin with and fixed for the duration of study). A very bad policy for grad students. The tax overhaul passed Thursday by House Republicans could … Continue reading

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A Mathematician is Grateful For…

Originally posted on Math with Bad Drawings:
Math with Bad Drawings View original post

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Free Math Public Lecture at National Library

Interested students may want to attend. It is at the National Library, on 14th December 2017. The Liar Game: Truths & Proofs from Euclid to Turing Ng Kong Beng Public Lecture Series Mark Wildon, Royal Holloway, University of London, UK … Continue reading

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Union-closed sets conjecture

Just read about this conjecture: Union-closed sets conjecture. The conjecture states that for any finite union-closed family of finite sets, other than the family consisting only of the empty set, there exists an element that belongs to at least half of the … Continue reading

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MRT train collision: Scientifically, where is the safest place to sit in a train?

In light of the recent MRT train collision in Singapore (Joo Koon), where at least 23 passengers were injured, it may be of interest to consider scientifically, where is the safest place to sit/stand in a train? We sincerely hope … Continue reading

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Bid for iPhone 8 at only $1 (real)

[Auction] iPhone 8 64GB [Gold] Hachi.tech (online website of the Challenger store) is holding an auction. From time to time, the items there are actually quite good and useful. This time the auction is a iPhone 8 64GB. The auction … Continue reading

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Singapore is in the wrong timezone

Most people who have been living in Singapore all their lives wouldn’t know this: Singapore is in the wrong timezone. To be precise, Singapore should be in the GMT +7 timezone, but we are using the GMT +8 instead. This … Continue reading

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‘Stemaritans’ help breathe life into maths and science

Quite interesting term “Stemaritans”, referring to people who promote STEM (Science Technology Engineering Math). ‘Stemaritans’ help breathe life into maths and science The Straits Times “Parents think highly of the Singapore education system and like the fact that the bulk of our … Continue reading

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He who loves learning is better than he who knows how to learn (Confucius)

From Baidu Baike: 知之者不如好之者,好之者不如乐之者: 对于学习,了解怎么学习的人,不如喜爱学习的人;喜爱学习的人,又不如以学习为乐的人。比喻学习知识或本领,知道它的人不如爱好它的人接受得快,爱好它的人不如以此为乐的人接受得更快。 Translation: He who knows how to learn, is not as good as he who likes learning. He who likes learning, is not as good as he who loves learning. (Confucius) I guess this applies to … Continue reading

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It’s mathematically impossible to beat aging, scientists say

According to Math, no one can live forever. So far, the only counterexample that I know of is Turritopsis dohrnii, also known as the “immortal jellyfish”. The article doesn’t seem to address this counterexample though. Source: Science Daily Aging is a … Continue reading

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Leibniz was a universal genius, but why is Isaac Newton more known? Does it have to do with Newton being British and Leibniz being German?

Answer by Albert Heisenberg, Science Historian M.A. Brown University Leibniz’s formulation of differential and integral calculus was more refined, elegant, and ‘generalizable’ than Newton’s ‘fluxions.’ Leibniz, the natural genius that he was, became interested in mathematics much later in his life … Continue reading

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DSA Interview Questions

Interviews can be intimidating even for adults, let alone 12 year olds. However, the DSA interview is a very important aspect, especially since many would have the same qualifications / test results. Familiarizing with some of the questions can be … Continue reading

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Donate to SOSD (very pitiful dog)

Recently chanced upon SOSD Facebook, and saw this dog, with a very serious maggot wound. They have a few other such dogs under medical care too. Just to spread some awareness through my blog, as not many people have heard … Continue reading

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Lichess to FIDE Elo Rating Conversion

Lichess is a free Chess Server – one of the best out there in fact. It comes with free engine (Stockfish) analysis, and many other nice features. It is well known that Lichess ratings are inflated compared to FIDE / … Continue reading

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Note on p-divisibility in Bockstein Spectral Sequence

If generates a copy of , then . Write , where , . Note that since , hence does not generate a copy of . The only way that is possible is when , i.e .

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Making big data a little smaller

While this result is nice, it also seems to mean that theoretically, we have already reached the limit in dimensional reduction for data compression. Source: Science Daily Harvard computer scientist demonstrates 30-year-old theorem still best to reduce data and speed … Continue reading

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Free Cooking Recipes Newsletter

https://chewbaccascook.wordpress.com/subscribe/ Feel free to subscribe to this Free Cooking Recipe Newsletter. Hundreds of Home Cooking Recipes!

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SOSD Dog Adoption Drive

Just saw this. SOSD (something like SPCA for dogs) is organizing an adoption drive tomorrow 22 Oct Sunday. So if you are interested to see the dogs and perhaps adopt one, you are free to attend (above One-North MRT Station). … Continue reading

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New PR Singpass

Googling info on this is quite hard. Just to share what is the procedure. Basically you need to apply for a new Singpass based on your new PR NRIC, as the previous Singpass based on FIN will be invalid. Also, … Continue reading

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Terence Tao Numberphile

Among current mathematicians, many people regard Professor Tao as the world’s finest… Opinions on such things vary, of course. Professor Tao kindly fielded some of our questions, including many submitted by Numberphile viewers. EXTRA FOOTAGE: https://youtu.be/48Hr3CT5Tpk (and more extras to … Continue reading

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“Actual” GEP Questions 2017 (from Forum)

Since the actual GEP papers are never released, the next best source is from those who have actually taken it and post on forums like Kiasuparents. Some Maths questions my girl remembers. “ In a fishing competition, five kids caught … Continue reading

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The State of Being Stuck

Originally posted on Math with Bad Drawings:
Last year, I got the high school math teacher’s version of a wish on a magic lamp: a chance to ask a question of the world’s most famous mathematician. Andrew Wiles gained his…

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Why do people get so anxious about math? – Orly Rubinsten

View full lesson: http://ed.ted.com/lessons/why-do-peop… Have you ever sat down to take a math test and immediately felt your heart beat faster and your palms start to sweat? This is called math anxiety, and if it happens to you, you’re not … Continue reading

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McCleary User’s Guide to Spectral Sequences (Errata)

(pg 455) When an element satisfies , then, by exactness, there is an element with . Should be instead of . (pg 458) The first differential is given by . The order in the printed version is incorrect. Note that … Continue reading

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Free Video about GEP

Video URL: https://video.toggle.sg/en/series/talking-point-2017/ep23/540809 Talking Point 2017 – EP23 Thu 5 Oct 2017 23 MINS By Channel 5 Published: 05 Oct 2017 Audio: English Cast Steven Chia Each year, only the top 1% of the primary school cohort will enter the Gifted Education Programme. … Continue reading

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Free Movie about PSLE

There are 2 short films on the subject of PSLE, free on YouTube. Quite accurate about the lives of kids in Singapore currently. Do feel free to watch if you are interested. It is truly a first-world problem (only kids … Continue reading

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More expat students catch the ‘tuition bug’ and other Educational News

More expat students catch the ‘tuition bug’ The Straits Times Singapore has gained a reputation for being a “tuition nation”, with surveys … Mr Shaun Lim, a partner at Quintessential Education, said the “kiasu” … SUSS to weave social impact into all courses … Continue reading

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Visionary mathematician Vladimir Voevodsky

Originally posted on Math Online Tom Circle:
A self-study Russian mathematician, kicked out 3 times in high schools, expelled from Moscow University, all because he did not attend classes, preferred to self-study in a broader scope for his curiosity, at…

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Univalent Foundation – Computer Proof of All Maths

Originally posted on Math Online Tom Circle:
The scary complex field of Math worried the mathematicians who would prove a theorem relying on the previous theorems assumed proven correct by other mathematicians. A sad example was Zhang YiTang (1955 –…

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Motif (Motive 目的)

Originally posted on Math Online Tom Circle:
Below is an excellent intuitive explanation (in Chinese) of the abstract concept Motif by Grothendieck: Brief summary – Motif is the source of all “beautiful things” expressed in different forms. Example : God…

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Free Math Games For Everyone

Free Math Games For Everyone Multiplication of big numbers, complex mathematical problems – there are so many issues that people can face not only at school but also in their everyday lives! People need math everywhere and always! That is … Continue reading

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How to prepare for ASEAN Scholarships Pre-U Entrance Test

Recently I received an email from a reader (name removed for anonymity). Just posting here in case it is useful to other readers. Good luck for those interested in applying for the scholarship! I am a 16-year old Malaysian student … Continue reading

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Song of Simple Group

Originally posted on Math Online Tom Circle:
The lyrics to the song can be found in “Contemporary Abstract Algebra” (Seventh Edition) by Joseph A. Gallian (ISBN 978-0-547-16509-7) pages 422 & 423.

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10招教你用Google搜技巧

Originally posted on Math Online Tom Circle:
https://youtu.be/9PNf_u9adZs

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One of the world’s most influential math texts is getting a beautiful, minimalist edition – The Verge

Originally posted on Math Online Tom Circle:
https://www.theverge.com/2017/9/2/16247282/euclids-elements-kroncker-wallis-math-text-beautiful-minimalist-kickstarter Little print-edition of Math Classics: Euclidean 《The Elements》(几何原理) – the second printing by volume after 《The Bible》. The Euclidean Geometry was less emphasised in Secondary school from 1970s in the world (80s…

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The Evolution of Software

Originally posted on Math Online Tom Circle:
https://medium.com/@cscalfani/so-you-want-to-be-a-functional-programmer-part-1-1f15e387e536

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Zhihu 知乎: 环Ring, 域Field, (半Semi-)群Group, 幺半群 MonoId

Originally posted on Math Online Tom Circle:
数学中代数的有两个名词:环,半群,请问环为什么叫做环,它和汉字里的环(字典中的意思)有什么相同之处;同样,半群为什么叫做半群,这个”半“字是怎么解释呢? [葛利流,数学科技] (I) 环和域 环 (Ring) 是德文, 这名词是David Hilbert发明的。 “环”最好的例子: 整数(Integer) 记作 Z (德文Zahl) 是个环。 他研究 Clock Arithmetic 时钟 是个 Modular Arithmetic (Mod 12)运算, 比如 15 = 3 mod 12 … 钟表上的整数 Z…

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2017 PSLE Math Question

Originally posted on Math Online Tom Circle:
Answer: 10 (Yes!) but why ? …(see explanation here )

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Garlic Butter Lobster

Originally posted on Cooking For Fun:
https://m.youtube.com/watch?v=zhK4HF_oRho 1. Put lobster in boiling water for 4 mins. 2. Take lobster out and soak it into cold water. 3. In a bowl, add in minced garlic. Then chopped chili, parsley and sprinkle…

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Train delay: Students given full duration for paper (PSLE English Language and GCE O-level Music Performing)

Fortunately, students affected by the train disruption are given the full duration for their respective papers. It would have been quite a traumatic experience though. Source: Straits Times SINGAPORE – No exam candidates were affected by the train delay on the … Continue reading

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Online Technology News Media Teknologi & Internet

The following is a new Online Tech News site: onlinetech.news. Category: Media Berita Internet Keywords related to the site: Online Technology News Media Teknologi & Internet Berita harian internet Berita harian internet Situs berita internet situs berita teknologi Berita online teknologi online … Continue reading

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Travel Advisory: Volcanic Activity in Bali

On 22 September 2017, Indonesian authorities raised the alert-level for Mount Agung on Bali island to level 4 (Awas or Warning) due to an increased possibility of a volcanic eruption within 24 hours. Indonesia’s National Disaster Mitigation Agency has warned residents and … Continue reading

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PSLE Chinese Listening Exam (mrbrown) Very Funny!

Recently, there is a PSLE Chinese Listening Exam that does not make sense. Question: Student A bought a new clothes. Student B asks Student A: “You bought new clothes?” Student A said: ” No, it is sewn by my mother, … Continue reading

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Recommended Books for Spectral Sequences

Best Spectral Sequence Book So far the most comprehensive book looks like McCleary’s book: A User’s Guide to Spectral Sequences. It is also suitable for those interested in the algebraic viewpoint. W.S. Massey wrote a very positive review to this … Continue reading

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Interesting Facts about Green’s Theorem

Firstly, Green’s Theorem is named after the mathematician George Green (14 July 1793 – 31 May 1841). Something remarkable about George Green is that he is almost entirely self-taught. He only went to school for one year (when he was 8 years … Continue reading

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Pierre-Simon de Laplace; French Newton

To increase your interest in mathematics, let me introduce the French mathematician Pierre-Simon de Laplace, also known as the “French Newton” or “Newton of France”. He helped to calculate projectile motion for Napoleon’s artillery. Laplace was also the examiner for Napoleon when … Continue reading

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5 Skills Students Need To Cope With School Pressures

According to an article published by the American Psychological Association (APA), many teenagers in the USA say they experience stress in patterns comparable to what adults go through. Teenagers also report higher stress levels than adults during the school year. … Continue reading

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