Skip to main content

Super Tuesday

I am visiting US. Coincidentally, there was the super Tuesday. Some news  show Trump's domination. His motto is ``Make america great again''. However, his definition of word `great' is quite different from I know. He wants to build a wall on southern border and Mexico should pay it. He doesn't believe climate change. He wants to remove the public health care. He wants to bomb ISIS. He wants to restore the death penalty. (See http://www.nytimes.com/interactive/2016/us/elections/donald-trump-on-the-issues.html)

Currently, he is winning. I have a problem to understand of his definition of 'great'. If there is a problem inside a country, then the reason is outside (e.g., Mexico wall). If there is a problem, he just doesn't believe that (e.g., climate change), and so on. If he won, I am afraid what he would do. I can easily imagine it is a war to one of (or some of) ISIS, Russia, China, Mexico, some of Islamic countries, .... I am also afraid who actually fight in such war. If I remember correctly, he also mentioned the US is always protecting alliance, so next the alliance should fight. I cannot imagine the EU follows him, but then, Japan and Korea are most likely. I hope my imagination is all wrong. But I also feel my hope may be quite fragile.

Comments

Popular posts from this blog

Gauss's quote for positive, negative, and imaginary number

Recently I watched the following great videos about imaginary numbers by Welch Labs. https://youtu.be/T647CGsuOVU?list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF I like this article about naming of math by Kalid Azad. https://betterexplained.com/articles/learning-tip-idea-name/ Both articles mentioned about Gauss, who suggested to use other names of positive, negative, and imaginary numbers. Gauss wrote these names are wrong and that is one of the reason people didn't get why negative times negative is positive, or, pure positive imaginary times pure positive imaginary is negative real number. I made a few videos about explaining why -1 * -1 = +1, too. Explanation: why -1 * -1 = +1 by pattern https://youtu.be/uD7JRdAzKP8 Explanation: why -1 * -1 = +1 by climbing a mountain https://youtu.be/uD7JRdAzKP8 But actually Gauss's insight is much powerful. The original is in the Gauß, Werke, Bd. 2, S. 178 . Hätte man +1, -1, √-1) nicht positiv, negative, imaginäre (oder gar um...

Why A^{T}A is invertible? (2) Linear Algebra

Why A^{T}A has the inverse Let me explain why A^{T}A has the inverse, if the columns of A are independent. First, if a matrix is n by n, and all the columns are independent, then this is a square full rank matrix. Therefore, there is the inverse. So, the problem is when A is a m by n, rectangle matrix.  Strang's explanation is based on null space. Null space and column space are the fundamental of the linear algebra. This explanation is simple and clear. However, when I was a University student, I did not recall the explanation of the null space in my linear algebra class. Maybe I was careless. I regret that... Explanation based on null space This explanation is based on Strang's book. Column space and null space are the main characters. Let's start with this explanation. Assume  x  where x is in the null space of A .  The matrices ( A^{T} A ) and A share the null space as the following: This means, if x is in the null space of A , x is also in the n...

My solution of Google drive hang up at "One moment please"

Today I installed Google drive to my Windows 7 environment to share files with my Linux machines. After sign in, the application window said "processing," then it hanged up. There was a button "you must enable javascript". I pushed it, then "One moment please..." after 5 minutes, I exited the program tried it again. It seems some security setting causes this problem. My solution: set  https://accounts.google.com  as a trusted site. Procedure: Open the control panel Go to network and control Go to Internet Options Open Security Tab Click Trusted sites Click the "site" button copy & paste  https://accounts.google.com  to "Add this website to the zone" and click Add button Now it worked for me. But if I removed this site, it still works. That puzzled me a bit...