What’s New

Howdy?

How to Manage Time?

How to Manage Time is an old and somewhat over discussed question, but it’s still a quite common problem which not lots of people know how to handle because there are too many distractions nowadays in our daily life, such as non-sense discussions and news on internet. I found that this short article How to Manage Time and Set Priorities mentions a few tips that mainly focus on tackling the main problem of lack of time management, and is also quite natty.

Filed under: Miscellaneous

Some Proofs I Did While Reading the Book “Foundations of Modern Probability”

Today I suddenly noticed that in my computer, I still kept this PDF file of some proofs I did (in year 2002 and 2003) for supplementing some details or steps that made me get stuck when I read the first 5 chapters of the book Foundations of Modern Probability written by Professor Olav Kallenberg. I fount it was interesting to look at what I read in the past and sort of made me recall the days in the first year when I came here.

This book is also sold on Amazon.com. It’s a super excellent reference book for a new graduate student to start learning Probability even though some proofs are really painful to read. Unfortunately, I lost some of what I wrote, so this PDF file only includes some details I wrote for chapters 4, 5 and 6. I was too lazy to keep up with this typing work later on. Some proofs were not written in strict mathematical sense, but I still hope it could help someone who just started reading this book and learning Probability Theory on the entry level. Some of proofs might be horribly wrong (I didn’t check them), and you are welcome to help me correct them. (again, I am too lazy to look back at it :-( )

Filed under: The Sciences (technical)

Wolfram Demonstrations Project: Using Mathematica to Illuminate Ideas

Wolfram launches a demonstration project that uses animations to illuminate some mathematical ideas. For example, this Random Branching Process animation demonstrates a Markov process that models a population in which each branch (or individual) splits into two with a certain probability.

Filed under: The Sciences (non-technical)

The Websites Providing Tips on Auto’s Mechanical Repair

YouTube’s Category of Automobiles has videos about the techniques of car’s repair.

ExpertVillage and eHow also have many videos about car’s repair and maintenance. The Auto’s category of the website HowStuffWorks introduces many things about how they work in cars together with flash animations.

There are several websites that provide excellent expert diagnosis and expertises on some car problems and also have many very useful maintenance information. The ones I visit the most are Samarins, DoItYourself Auto, Trust My Mechanic, Pro Mechanics Online, etc.

Popular stores for shopping Automobile parts are AutoZone, Advanced Auto Parts, NAPA, etc.

Filed under: Miscellaneous

Interesting Videos about Terence Tao and Grigori Perelman

YouTube has few interesting videos about these two math geniuses.

Terence Tao’s Video#1 , Terence Tao’s Video#2.

Grigori Perelman’s Video

Filed under: The Sciences (non-technical)

Check Spelling Online

I’ve been always troubled by misspelling words, but recently I found three webpages that are quite convenient for checking spells online. Here they are:

Jacuba,     Orangoo,     SpellCheck.net

Filed under: Miscellaneous

Kong, the Eighth Wonder of the World!

Director Peter Jackson worked off a borrowed dream based on 1933 classical movie King Kong, and utilized the technical advance of late 20th century to present the whole world his “the eighth wonder of the world” King Kong. What I like the most and feel the most painful about is the part when the terror (also the peak) ends up with Kong’s falling from the top of Empire State Building, and Ann trying to grab Kong with her broken heart. “It wasn’t the airplanes. It was beauty killed the beast.” Ann and Kong make all of us believe in the tenderness, the beauty inside everyone.

Filed under: Miscellaneous

Free Online Math Books and Lecture Notes

Professor Cain put a webpage listing many free online math books, among which, I found the book A Fist Course in Linear Algebra is a really good textbook for beginners to start learning linear algebra from the very beginning up to a level even covering some elementary stuff in graduate linear algebra courses.

AMS also posts some online free books on its webpage.

MIT Open Course Ware is a very good resource of lecture notes used during their classes. Its math part covers the courses ranging from undergraduate levels to graduate levels. I believe that many people will benefit a lot from learning through their open sources, and really thank them for bringing this generous idea into reality.

Filed under: Books and Articles

How to Type Chinese on A Computer without Chinese Input System?

This trick is especially useful for the new students who don’t have their own laptops when they come. One just needs to log on the webpage for Chinese input to type Chinese using any public computer in school (Any AU student can use hundreds of public computers on campus). Or, you simply log on my homepage, then click on “Links”, then you will see a link named “Online Chinese Input”.

Filed under: Miscellaneous

A Book by Terry Tao

The PS file of the first part (two parts in total) of the book Solving Mathematical Problems: A Personal Perspective by Terence Tao is available on his website on UCLA server. One can convert this PS file to PDF file through the website PS2PDF. The complete book is sold in many book stores, such as the book store on Amazon.

Filed under: Books and Articles