Posts Tagged 'terence tao'

Century-Old Goldbach Weak Conjecture Closer to Being Solved

goldbach-pair-count-primes

The weak Golbach conjecture states that you can break up any odd number into the sum of, at most, three prime numbers. Prime numbers cannot be evenly divided by any other number than themselves or 1.

Read more @ SciTechDaily

Dr Terence Tao’s Career Advice

Fields Medalist Dr. Terence Tao gives career advice to aspiring mathematicians. It’s sound advice from someone who has excelled in his field for over a decade. Here is Dr. Tao’s wiki page. BTW, he’s 34 years old and became a full professor at UCLA at 23. AMS has got a recent interview with Dr. Tao.

Compactification and Metrisation

Some great notes from Dr. Terence Tao’s lecture on compacity and metric spaces.

Metric spaces are sets with a measure of distance between each of its elements. Compact spaces are spaces in which each sequence (xn) admits a converging sub-sequence. This is called the Bolzano-Weierstrass property and such compact spaces are called sequencially compact. There is a more general way of defining a compact space, by saying that each of its open covers has a finite subcover.


subscribe to feed

About

ranjitwithkinginbehand.jpgI'm Range, your host. On the menu, photos, art, stories, entertainment and reviews. Links, maths, education and social issues. I'm in Quebec (Canada) or Taiwan (R.O.C.). Follow me on Twitter.

click to subscribe to The Memoirs & receive updates by email.

Join 1,458 other followers

@djrange: my tweets

channels

archives

del.icio.us

translate the memoirs

copyright notice & disclaimer

Please view the full disclaimer and copyright notice here
free web tracker

© 2006-2012 Range all rights reserved


Follow

Get every new post delivered to your Inbox.

Join 1,458 other followers

%d bloggers like this: