under development
Dies richtet sich an deutschsprachige Lehrerinnen und Lehrer und Schülerinnen und Schüler, die eine automatische Kurvendiskussion für Übungsaufgaben haben wollen. Dabei wird das freie Algebrasystem Maxima (wxMaxima) verwendet.
Observatorio-de-Matematica
Observatorio-de-Matematica
/ Description.txt
Last active
November 30, 2023 16:18
— forked from MSoegtropIMC/Description.txt
Example of main stream linear program solvers failing on small problems
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| The attached files contain a piecwise degree 3 polynomial L-inf norm approximation for the sine and cosine function | |
| in the interval 0...1 with 4 and 64 pieces. | |
| The functions are sampled at the extrema of a Chebyshev polynomial of degree 4 since the residuals of an L-inf polynomial | |
| approximation are by construction typically close to Chebyshev polynomials. The small deviations in the extrema positions usually | |
| don't lead to substantial deviations in the extrema values. | |
| This leads to rather small problems with only 5 variables (4 coefficients and one maximum error variable) and 10 inequalities | |
| (5 extrema points, each positive and negative bounded). | |
| The solution is implemented in: |
Observatorio-de-Matematica
/ gist:0cbb78dea7440b7a5d8fe16f9b422fda
Created
November 30, 2023 16:19
— forked from vext01/gist:1437651
"image file is not of type 15"
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| /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
| /* [ Created with wxMaxima version 0.8.7 ] */ | |
| /* [wxMaxima: input start ] */ | |
| kill(all); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: input start ] */ | |
| chull(z, a, b) := (a+b)*z - (a*b); | |
| /* [wxMaxima: input end ] */ |
Observatorio-de-Matematica
/ KurvendiskussionMitMaxima.md
Created
November 30, 2023 16:32
— forked from bennof/KurvendiskussionMitMaxima.md
Kurvendiskussion Mit Maxima
Observatorio-de-Matematica
/ Lagrange.wxm
Created
November 30, 2023 16:40
— forked from FooBarrior/Lagrange.wxm
NM expirement. Author: Pousqie
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| /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
| /* [ Created with wxMaxima version 11.08.0 ] */ | |
| /* [wxMaxima: input start ] */ | |
| load(draw)$ | |
| Lagrange(x, fn, X, N) := | |
| sum( | |
| fn(X[i]) * product( | |
| if equal(i, j) | |
| then 1 |
Observatorio-de-Matematica
/ q3.wxm
Created
November 30, 2023 16:40
— forked from fernandomalmeida/q3.wxm
Resolução do Problema XOR utilizando função de base radial
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| /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
| /* [ Created with wxMaxima version 11.08.0 ] */ | |
| /* [wxMaxima: comment start ] | |
| Essa primeira parte calcula os multiplicadores de lagrange | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| rbf(x,i,y) := (%e^(-((x[i]-y).(x[i]-y))/2)) $ |
Observatorio-de-Matematica
/ gist:f7413ea1f3281961a46f43ff868e465f
Created
November 30, 2023 16:43
— forked from johnxliu/gist:9047084
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| /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
| /* [ Created with wxMaxima version 12.01.0 ] */ | |
| /* [wxMaxima: input start ] */ | |
| load(diag); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: input start ] */ | |
| a1:matrix([7,-1,6],[-10,4,-12],[-2,1,-1]); | |
| /* [wxMaxima: input end ] */ |
Observatorio-de-Matematica
/ gist:9b5176b1caeddaaa05d8368c0007df4a
Created
November 30, 2023 16:46
— forked from denkiwakame/gist:d5de263d386a2fc2e7d8
includeすればよい
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| /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
| /* [ Created with wxMaxima version 13.04.2 ] */ | |
| /* [wxMaxima: input start ] */ | |
| /* | |
| get_M(_VARS,_F):=block([X,N,r,c,B,y,coeff,flag], | |
| X:_VARS, | |
| f:_F, | |
| N:length(X), | |
| M:[], |
Observatorio-de-Matematica
/ sqrt
Created
November 30, 2023 17:03
— forked from raydsameshima/sqrt
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| A.F.Beardon Complex Analysis page 13: | |
| ```maxima | |
| (%i1) z: sqrt( 1/2*( sqrt(u^2+v^2) + u) ) + %i*(v/sqrt( 2*( sqrt(u^2+v^2) + u) ) ); | |
| 2 2 | |
| sqrt(sqrt(v + u ) + u) %i v | |
| (%o1) ----------------------- + ------------------------------- | |
| sqrt(2) 2 2 | |
| sqrt(2) sqrt(sqrt(v + u ) + u) | |
| (%i2) z^2; |
Observatorio-de-Matematica
/ complex gaussian
Created
November 30, 2023 17:04
— forked from raydsameshima/complex gaussian
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| (%i73) assume(l>0); | |
| (%o73) [l > 0] | |
| (%i74) integrate( exp(-%i*l*t^2),t,-inf,inf); | |
| 1 %i | |
| sqrt(%pi) (------- - -------) | |
| sqrt(2) sqrt(2) | |
| (%o74) ----------------------------- | |
| sqrt(l) | |
| (%i75) polarform (%); | |
| %i %pi |
Observatorio-de-Matematica
/ eq.(1.2)
Created
November 30, 2023 17:04
— forked from raydsameshima/eq.(1.2)
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| (%i13) limit(integrate( ev( (-%i*x)^(n-1)*exp(%i*x*(D+%i*e))/gamma(n), n:3), x,0,inf), e,0); | |
| %i | |
| (%o13) -- | |
| 3 | |
| D | |
| (%i14) limit(integrate( ev( (-%i*x)^(n-1)*exp(%i*x*(D+%i*e))/gamma(n), n:4), x,0,inf), e,0); | |
| %i | |
| (%o14) -- | |
| 4 | |
| D |
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