Paper cut picture: Do not stand at my grave and weep

Sometimes I make Kirie (cutting peper picture). I gave most of them to some friends. This is one of the recent my kirie. I thank Claudia for giving me a permission to put my Kirie's picture in my blog.

I translated a poem, "Sen no Kaze ni natte" (Original English "Do not stand at my grave and weep") to German from Japanese. Why did I translate it based on non-original poem? Hum, I thought I could sing it since Japanese poem has a song. But, it is difficult, of course.

---
Tausend Winde (Stehe nicht vor meinem Grab und weine)
Englisch Autor: Unbekannte (oder Mary Elizabeth Frye)
Japanische Übersetzen: 新井満 (Arai Man)
Deutsche Übersetzen: Hitoshi und Leo

Stehe nicht vor meinem Grab und weine.
Ich bin nicht dort, ich schlafe nicht.
Ich bin tausend Winde, die im Himmel wehen.

Ich bin der gänzende Diamant auf dem Schnee.
Ich bin der Sonnenstrahl auf reifem Getreide.
Am Morgen werde ich ein friedlicher Vogel
der Dich aufweckt, im kreisenden Flug.
In der Nacht werde ich die sanften Sterne.

Stehe nicht vor meinem Grab und weine.
Ich bin nicht dort, ich schlafe nicht.
Ich bin tausend Winde, die im Himmel wehen.
Ich bin überall, wo du bist.
--

Comments

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...

Tezuka Osamu's Black Jack, "Shrinking"

I like several novel authors. My first favorite author is probably Teduka, Osamu. I still love him. The list grows by adding Hoshi, Shinichi, Agatha Christie, Hermann Hesse, and so forth. My first favorite article of Tezuka was Atom as most of the (boy's) Tezuka fans did. But my favorite is Black Jack. I try to summarize one story, it is still quite vivid in my memory. I first read this story when I was 13 - 15 years old. I re-read it at least several times since Black Jack is composed of many short episodes. The title should be "ちぢむ (SHRINKING)" or it might be "縮む(Shrinking)". (It is not so convenient to translate this to English, since English does not have a system to say the exact same word in several ways. So I just simulate it with capital letters.) Black Jack is a genius surgeon, but he does not have the license. In short, his medical activity is illegal. His skill is top level in the world, but, the fee is also out-of-law expensive. In the story ...

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