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北京航空航天大学：数学大观 第2讲 数学抽象 无招胜有招”

1. Euclid 5条公理 (Axioms) => 全部 几何 (Geometry)
2. Galois 运算律 (Laws of Operations) => 抽象代数 (Abstract Algebra)

【台湾壹週刊】

速食店员竟然是数学天才

张益唐 (1955 – ) : 北京大学 – 美国数学博士。因为执着数学理论的真理, 得罪美国大学台湾籍论文教授, 毕业后找不到大学教职, 在朋友的 Subway 速食店做会计8年, 潜心业余思考世界数学大难题: Twin Primes Gap, 终于攻破。

他的下一个目标是Riemann Hypothesis, 困扰数学家百年的难题: “素数 (Prime numbers)的分布”都集中在 Zeta function complex plane的 实轴(real = 1/2) 上。大数学家David Hilbert说如果五百年后复活, 第一件事会急着问 “Riemann Hypothesis” 证明了吗?

2010 Steve Jobs declared Post-PC era has arrived with iPhone/iPad/iCloud,  little did he know that he had accidentally also brought the Post-TV & Post-Publication (books, Newspapers) on iPhone/iPad/iCloud platforms for YouTube, ebooks.
Today,  you don’t have to sit on sofa at scheduled time to watch TV programmes,  buy/loan/housekeep books, subscribe to political-biased  newspapers.

The advent of Web 2.0 and “Internet of Things (IoT)” will open up the new era of freedom of “Knowledge Sharing”:

1. Instead of reading 100 books to understand a complex economics /politics / history / science topic, you can go YouTube to attend free seminars by TED, MOOC (Coursera,Khan Academy…), or follow YouTube series by book expert reviewers (罗辑思维,袁腾飞, 百家讲坛, 宋鸿兵货币战争)…
2. You can ask any questions on “Quora“. Anybody with the expertise will volunteer to teach you.
3. You can keep your reading notes in…

It said: “(The above) Prof Yang was a long time colleague of Chen Jingrun (陈景润). He revealed that Chen was, by nature, not a Math genius, his success in climbing the Math Summit was through sheer determined hardwork — especially during the decade long cruel Cultural Revolution when the intellectuals were persecuted — sustained by a very strong interest in Math.”

“Math journey is not a short 100-meter sprint but a 20-year marathon run.”

“He critised the crazy rush of Math Olympiad training in whole China, not only adding extra school burden on kids, it also kills their interest in Math.”

Note: Recently China government bans IMO training in schools.

Chen Jingrun (陈景润), a student of Hua Luogeng (华罗庚), proved in 196x during The Cultural Revolution: (1+2) Goldbach Conjecture.

Goldbach Conjecture:

Any Even Integer = 1 prime + 1 prime
eg. 12 = 5+7 = “1+1”

入声 [-p], [-t], [-k]: 古汉语音尾韵, 明朝之前的金, 元外族统治中国时, ‘入声’消失。现在还保留在地理群山封闭的南方不受外族影响 (粤闽), 和5次逃难移迁的客语。

韩语 (语音) = (唐宋)’中古汉语’ << 客语 << 粤语 << 闽语 (福建, 潮州)

<< 靠近 (越左越像: 客语比粤语, 粤语比闽语, 更靠近韩语)

韩语 入声 [-p = ㅂ ]:
例子: Korean Mixed Rice (Bibimbap ) 비빔밥

汉语分3阶段:
1. 上古汉语: 秦汉时期
2. 中古汉语: 隋唐宋时期
3. 近代汉语: 清民国到今 (普通话).

Julia Child was a legendary american lady who became a French Chef against all odds. She worked as a USA spy in WW II based in China where she was first attracted to food by the Chinese cuisine, then after the war living in Paris where she enrolled herself in “Le Cordon Bleu” French Chef School. She was honored as the Cover Lady of the Time Magazine for transforming Americans’ kitchen, also received Honorable Doctorate Degree from Harvard University.

I remembered taking the hot French Onion Soup in a Parisian restaurant, near the 1,000 year-old Cathedral “Notre Dame de Paris” (where Victor Hugo’s story about the “Hunched man and the Beauty” took place), in cold 2005 winter. With the melted cheese and french bread covering the serving cup of onion soup, it was very delicious!

I had a very late lunch with my family who visited France first time…

San Francisco new “Proof School” for Math kids 
The Math Syllabus : Topology,  Number Theory, …
IT: Python programming

Proof School Website
http://www.proofschool.org/#we-love-math

What is Proof School?

https://www.quora.com/What-is-Proof-School/answer/Alon-Amit?srid=oZzP&share=50c583a6

Math Syllabus:

http://www.proofschool.org/course-descriptions-1#math-courses

Couscous aux merguez et poulet

How to cook merguez sausage

See also:

1. Couscous Salmon Salad

2. Merguez stuffed Squash:

Note: You can replace squash by oval-shape eggplant