# Tadashi Tokieda

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**Tadashi Tokieda** (Japanese: 時枝正) is a Japanese mathematician, working in mathematical physics.

## Quotes[edit]

- When you learn mathematics, you learn a lot of
*definitions*. And let's say that you have a certain number of definitions - maybe you learn 100 definitions. Also, there are*a number of theorems*, and*a number of examples to which the theorems apply*.

Now, a*good*piece of mathematics should have*many more theorems than definitions*. And you should have*many more examples than theorems*- that's a good situation.

Unfortunately, everywhere in the world, it happens that in textbooks, in classrooms -

You learn 100 definitions (you have memorize definitions!)

And then you learn 10 theorems;

And then there is only one example.

It should be that you have one definition, ten theorems, and 100 or even 10,000 examples to which the theorems apply.

- Draw pictures, draw pictures! As a guideline, when I do research in any area (fluid mechanics, geometry, dynamical systems, topology, combinatorics, representation theory), I always draw pictures when I'm doing research. I'm drawing one picture every few minutes, so by the end of the day, after maybe six or seven hours, I have maybe 30, 40 pictures, if not more. So in a week that's hundreds. You should be drawing lots and lots of pictures, trying lots of pictures. Some of these pictures can be in your head, but you should start by drawing lots of real pictures, on paper.

But not*a few*pictures.

Not*tens*of pictures.

*Hundreds*of pictures, please,*hundreds*.

Because that's how we can, eventually, listen to Mozart's music - in mathematics!