Götz Kluge's photos with the keyword: physics

Fast Fourier Transform The yellow boxes do the elementary DFT (Discrete Fourier Transform). They also are called " decimation butterflies " and perform four operations: one complex multiplication, one sign inversion and two complex additions. · Numbering of Input - Output: 0000 -- 0000 0001 -- 1000 0010 -- 0100 ... 1110 -- 0111 1111 -- 1111 · The image shown above is the first version of the image shown below: That new version looks nicer, but the old version helps better to understand the numbering scheme.

Fast Fourier Transform The blue boxes do the elementary DFT (Discrete Fourier Transform). They also are called " decimation butterflies " and perform four operations: one complex multiplication, one sign inversion and two complex additions. Usually the transformer is presented differently. This depiction of course does not change the design, but it shows the construction of the transformer using a fractal approach. In the usual presentations (of Radix-2 FFT algorithms), the butterflies cross the lines; in this presentation, lines cross lines. The numbering of inputs and outputs is binary. Why "fractal"? A 2-port DFT requires one butterfly, a 4-port DFT requires two 2-port DFTs plus two butterflies, a 8-port DFT requires two 4-port DFTs plus four butterflies, a 16-port DFT requires two 8-port DFTs plus eight butterflies, and so on. Why "butterfly"? That is because of the two "triangles" in each box. Zoomorphism works even with engineers, and in this case the pair of triangles look like the wings of a butterfly to them. First version (2005):

Teaching physics with Wilhelm Busch's Max & Moritz (1865)

What is Quantum Mechanics? A Physics Adventure Second Edition By Transnational College of LEX Foreword by Dr. Yoichiro Nambu, 2008 Winner Nobel Prize in Physics Translated from Japanese by John Nambu 2nd Edition Published 2009, 592 pages, Paperback, Fully Illustrated ISBN 978-0-9643504-4-1 This is a wonderful book with an unusual teaching concept. Starting from a pre-college level the book digs deep enough into mathematics, but not deeper than necessary. To some readers the teaching style and those anime-like characters may seem to bit a little bit too childish. But that doesn't mean that the autors don't take their readers serious.

This is a table from Wikipedia: en.wikipedia.org/wiki/Planck_units#Simplification_of_physical_equations .