# Tag Info

3

Thanks for all answers and comments already there. I have updated the question Where is the GAP file editor? How do I save GAP programs? from the GAP F.A.Q to list all available modes in one place. Besides Notepad++ and PSPAd for Windows, it lists some other editors as well. In the future, please check it in the GAP F.A.Q. for any updates. Posting this is ...

1

For reference, in EXCEL 2010 there are now two functions: T.INV(), which gives the "left-tailed inverse" (i.e. the inverse of the cumulative distribution function), and there is T.INV.2T(), which assumes as an argument the probability of both tails.

5

I made a very simple, bare-bones GAP mode for Notepad++, which I used for a GAP course I taught. The following installation instructions are from the notes I handed to the students. (But I do not normally use Windows myself, so I haven't verified them for some time). Download http://dev.quendi.de/gap/gap.xml In Notepad++, select “Define your language...” ...

3

There are a couple of packages to add GAP mode/syntax highlighting to emacs. http://www.gap-system.org/Packages/Contrib/contrib.html

0

Maxima CAS : implicit plot : standard or draw package parametric plot HTH Adam

2

That looks like it may have been ray traced, a commonly used open source program for ray tracing is povray, it expects all of the geometry to be defined procedurally or mathematically which makes it easier to use for creating images like this.

25

The beauty of the picture above is not primarily a question of the software used, but rather the time and effort that went into it. In principle, the only thing software has to be able to do is to plot a parametrized surface with parametrized colors. Here's a picture similar to Niles Johnson's (but with only 2-3 hours invested, and correspondingly less ...

43

Both existing answers say that it is done in Sage, but it is only partially true. The visualization was not done in Sage itself. The image is ray-traced. Niles Johnson, author of the image, used Tachyon, an open source raytracer. So in order to follow similar workflow my recommendation would be: Generate data in Sage, Mathematica or similar mathematical ...

30

From the Wikimedia page about that image we learn that it was made with Sage. A link to the author's page further describes how it was created.

9

The image information page claims it is done with Sage. It is part of this animation, where your image appears at timestamp 2:27.

0

GeoGebra now includes a full Computer Algebra System (CAS) so covers (1), (2) and probably (3) of the original question :)

1

Here it is in GeoGebra: http://tube.geogebra.org/m/2028275 You can download the .ggb file to see how it was made. The tricky bits are these to select the correct center and edge points: If[α < 90°, If[β < 90°, If[γ < 90°, O, D], E], F] If[α < 90°, B, A] Here's a similar construction for a square: ...

0

You mean you want to extend vector V_W until it hits OD? If so, then draw Line[A,B] and intersect it with OD. BTW you will get (much) faster answers about using GeoGebra in this forum: http://forum.geogebra.org

0

Here it is in GeoGebra as a parametric plot (ie just abel's answer) http://web.geogebra.org/?command=Curve[(t+2)^2/2,t^2/3,t,0,20] The beta version can plot non-polynomials, hopefully being released soon: http://web.geogebra.org/beta/?command=sqrt(2x)-sqrt(3y)=2

0

You can just reflect $\sin(x)$ in the line $y=x$ thus: web.geogebra.org/?command=Reflect[sin(x),y=x]

0

GeoGebra works well for this, eg http://web.geogebra.org/?command=f(x)=x+2;a=2;f(a)

2

GeoGebra does exactly what you want: http://web.geogebra.org It already supports some quadrics. Full support is in beta and will be released in the next couple of weeks. You can try it here: http://web.geogebra.org/beta/?command=a=1;z=x^2-a*y^2#3d

1

You can probably do it easily in Mathematica and turn it into an interactive demonstration that can be played with the free CDF player. For examples, see the Wolfram Demonstrations Project, which includes source code for many examples. The example below should get you started: Graph and Contour Plots of Functions of Two Variables These pages should help ...

1

Yes, this is very easy in Macaulay2. See the code exampe below. i1 : R = QQ[x,y] o1 = R o1 : PolynomialRing i2 : I = ideal(x^2-y,y+2) 2 o2 = ideal (x - y, y + 2) o2 : Ideal of R i3 : S = QQ[s,t] o3 = S o3 : PolynomialRing i5 : f = map(S,R,{s^2,t^2}) 2 2 o5 = map(S,R,{s , t }) o5 : RingMap S <--- R i6 : f I ...

0

For ordinary systems, we can use "fde12" solver. But how should we code the problem, if delay term is also present in our system?

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