Skip to main content

A vending machine gensym3141

Japanese version

A vending machine ``gensym3141'' is a product of Sirius Cybernetics corporation. This machine's sales point is that it can generate infinite kind of vending machines. This machine can only provide vending machines, but, you can buy anythiFng -- a cap of coffee, a car, or a computer -- from gensym3141. If you want to have a cup of coffee, then you first buy a vending machine which sells a cup of coffee.

Here, you must notice that there is a vending machine which gensym3141 can not provide. Some people easily misunderstand that a vending machine can provide infinite kind of vending machine, that can provide everything. If you are a one of them, Marvin will laugh at you. But since laughing at you does not help you, let's think about such machine a bit.

The vending machine gensym3141 has a keypad, you can input a number 1, 2, 3, ... This means you can input infinite kind of numbers to gensym3141. For example, the number of a vending machine of Vogon poetry book is 157079632679489661923. But, the number of vending machine of the fishbowl made by dolphin is -111111. gensym3141 does not have '-' button on the keypad. Therefore, you can input infinite kind of number to the gensym3141, yet you can not get the vending machine of the fishbowl made by dolphin. Or, it is OK if you can understand infinite does not mean everything.

Of course Sirius Cybernetics corporation marketing people are trained to convince the customers like ``You can buy infinite kind of vending machine from gensym3141. Infinite kind! You can buy everything from this one single machine!'' Also the universe is huge. There are so many stupid customers who believe these words. Therefore, the universe is filled with gensym3141.

By the way, there are many famous vending machines that you can not buy from gensym3141. First of all, you can not by gensym3141. If someone think about such thing, Sirius Cybernetics's mind control machine, which is integrated in the gensym3141, removes your memory. It is highly recommend not to think about that near the gensym3141. One guy tried to buy a vending machine which sells anti-mind-control machines from gensym3141. However, when gensym3141 recognizes the intension of a customer, the mind control machine inside gensym3141 is also activated and the customer becomes a loyal employee of the Sirius Cybernetics corporation.

This is one of the patents of Sirius Cybernetics corporation. You must buy gensym3141 directory from Sirius Cybernetics corporation. We can also not get a vending machine which sells the patents. The details are unknown. There is no record of such sacrifice example.

The publisher of the hitchhiker's guide has a monopoly right of selling the guide. The publisher also has a monopoly right of a monopoly right of selling a vending machine of the guide. Therefore, gensym3141 refuses to sell a vending machine of the guide and also refuses to sell a vending machine of monopoly right of selling the guide. Sirius Cybernetics corporation and the publisher of the guide have a conflict that which has the right to sell a vending machine of a vending machine of monopoly right of selling the guide. This lawsuit took a long time and yet seems no end. Even this lawsuit is finished, it is obvious to see there is the next lawsuit.

OK. It seems we have enough about gensym3141, let's back to the lambda's story.

Comments

Popular posts from this blog

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 null spa

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 parallelogram area is |ad-bc|?

Here is my question. The area of parallelogram is the difference of these two rectangles (red rectangle - blue rectangle). This is not intuitive for me. If you also think it is not so intuitive, you might interested in my slides. I try to explain this for hight school students. Slides:  A bit intuitive (for me) explanation of area of parallelogram  (to my site, external link) .