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http://community.wolfram.com/groups/-/m/t/1303454
I need to develop a spline for a repeating function. Here are the requirements:
1. spline must is for a repeating function, repeating every 2 PI.
2. The spline must be continuous for position and first derivative, including the repeating point 0, 2 PI.
3. A segment of the spline must be perfectly linear. The segments before and after must begin/end with the same derivative.
Any help would be appreciated.Thomas Dobroth2018-03-17T20:01:11Z[✓] Use transformation matrices that act on vector?
http://community.wolfram.com/groups/-/m/t/1302857
Hi ,
I'm new with Mathematica and would like to know how to write transformation matrices (operators) that act on vectors (for tensor analysis). Or a Jacobinan-type matrix For example, a differential operator that acts on a column vector of functions:
row 1: d[ ]/dx1 d[ ]/dx2
row 2: d[ ]/dx3 d[ ]/dx4
How can I do that in Mathematica? The regular linear algebra functions don't work.
AUSP6andreusp62018-03-15T15:21:08ZConway's structures
http://community.wolfram.com/groups/-/m/t/1301097
Recently I noticed here a thread about gliders:
http://community.wolfram.com/groups/-/m/t/1120326
I must say that I have virtually almost no idea about "cellular autmatons" ("automata"?), but it reminded me about a book I have read quite a time ago (1979?).
**Manfred Eigen, Ruthild Winkler: "Das Spiel, Naturgesetze steuern den> Zufall" ( ISBN 3-492-02331-2)**
Manfred Eigen is a Nobel-Prize -Winner of 1967 in Chemistry ( for his work about very fast chemical reactions).
In this book several biochemical models are mentioned, which, as it seems, can well be described by cellular automata.
It is mentioned, that a lot of patterns with remarkable behaviour are described by Martin Gardner in "Mathematical Games" , Scientific American, Oct. 1970 and Feb. 1971 (citations given in the aforementioned book).
As I said I am a newby about cellular automata, and so I decided to write a procedure (in Mma 7) which is able to display a "gun", that is a device which emits periodically a glider, and an "eater" , which destroys the arriving glider. See the notebook attached.
First an oscillator and a glider are constructed and displayed, then the gun and eater, and finally both together.
I haven't looked at the behaviour of the system when the the patterns are shifted, but that could be easily done because I have provided a code which allows for translations.
Have a look at it, any comments are welcome.Hans Dolhaine2018-03-13T00:19:34Z