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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...

Random quotes from ancient time to now

The quality measure of a city (country) is what it does with its referendum. -- a philosopher A good decision is based on knowledge and not on numbers. -- Plato Dictatorship naturally arises out of democracy, and the most aggravated form of tyranny and slavery out of the most extreme liberty. -- Plato One of the penalties for refusing to participate in politics is that you end up being governed by your inferiors. -- Plato Yes, he said; but what are the characteristics of this form of government, and what are the defects of which we were speaking? First of all, I said, consider the nature of the qualification just think what would happen if pilots were to be chosen according to their property, and a poor man were refused permission to steer, even though he were a better pilot? -- The republic, Plato

In 2020, a nation is peacefully colonized

In 2020, X Y, a country A made a declaration of bankruptcy after the many years of financial crisis. The country will be auctioned by other countries soon. This is probably the first colonization without any military actions in the human history. The country A cannot postponed to pay their debt to the future anymore. Currently there are many problems in the world. The size of the economy of country A is not small, the suzerain country will also have a risk. Currently most possible suzerain is either country B or C. However, the debt of country A is huge and the risk is too high. So called Terrorism quasi-country D declared to buy the country A. The spokesman of quasi-country D mentioned, they voluntarily help the country A, but international society thinks the country D wants to recognized as a real country. So, they try to buy it. The people of country A and international society against the country D's plan. However, what is the problem anyone the thing which has the price ta...

How to connect to a guest OS from other machines (Oracle Virtual Box)

1. A background story My home machine had Windows 7 and Linux (dual boot). One day I tried to upgrade to Windows 10. But, it destroyed my MBR of the hard drive. After I fixed the MBR, I got an interesting go and back: Upgrading to Windows 10 ... a problem detected and restore to the old state, reboot Booting Windows 7 and detected upgrade Windows 10, upgrading, reboot Go to the state 1 I decided to do a clean install of Windows 7 and use the Linux in a virtual machine. I only need one Windows commercial application, but. it needs a graphics card access. Thus I cannot put the Windows in a virtual machine. I need some server processes on my Linux machine. When I did a clean install of Windows 7, the Windows update didn't work. The Windows update program had an issue. To fix this problem, I should first need to update the updater, but the updater had an issue. I got an interesting problem here: Windows update has a problem and can not update. To fix the problem, you ne...

A conversation between I and my landlord.

I: I want to move out. I think my rent is too expensive. Landlord: OK. I: Can I use a special method? Landlord: ? I: I don't want to pay the rent anymore, but I want to keep my room and have a full access to my room, like the half of the people of a country want. Landlord: I see. We just need to change the contract a bit. I would like to charge you current two month rent for each access per day. But you don't need to pay the monthly rent. You have no obligation for that. I: Wow, thank you! Landlord: You are welcome. I: Now I only pay when I go to my room. I took back the control!
I use Jenkins  for a nightly automated test. In the test I use valgrind  for memory leak detection and has some graph of number of errors. So I would like to use plot plugin . From the example plot image , it is clear we can have a graph with multiple lines. However, how to do it was a bit ambiguous to me from the web page, the example perl script, and the help (in the plot plugin). The key idea is I need to have multiple data files for multiple lines. For example, in the build I made the following property data files. Each file represents one data line. valgrind_trunk_result.definitely.property valgrind_trunk_result.indirectly.property valgrind_trunk_result.possibly.property The contents of each file is only one line. For example,  valgrind_trunk_result.definitely.property is: YVALUE=0 This file is put under the directory of ${WORKSPACE} where the environment variable "WORKSPACE" is given by jenkins. Figure 1 shows my plot plugin setup in th...