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2

Inkscape It is a vector graphic program that works for Mac/Linux/Windows. It is not strictly mathematical, but is intuitive and produces pictures with high enough quality. I've used it with success for quite a number of pictures, here are some examples: 1, 2, 3, 4, 5, 6, 7, 8. If you wish, a bit more complex drawings are possible too (the cone below was ...


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Try these free tools: GeoGebra Desmos


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Try using sage math via notebook http://sagenb.org and use the function graph_editor(). I think that's precisely what you want.


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Click here for matlab graph mfile run this program in matlab command window to draw your any graph . define matrix A : adjacency matrix, where A(I,J) is nonzero (=1)if and only if there is an edge between points I and J. for example : write in command window in matlab $$n = 9; t = 2*pi/n*(0:n-1);$$ $$A = round(rand(n));$$ $$xy = [cos(t); ...


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This is more of an add-on to previous answers. I would comment, but I don't have enough reputation. In Sage, a simple script like this will generate the subgroup lattice of a group: G = CyclicPermutationGroup(1176) subgroups = G.subgroups() P = Poset((subgroups, lambda h,k: h.is_subgroup(k))) P.plot(label_elements=False) In your case, it has a nice ...


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if geogebra can do parametric plot then you can try $$x = \dfrac{(t+2)^2}{2}, y = \dfrac{t^2}{3}, t \ge 0 $$


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According to the GeoGebra manual, currently the ImplicitCurve[ <f(x,y)> ] command only supports polynomials in $x$ and $y$. ImplicitCurve[ < f(x,y)> ] Creates the implicit curve f(x,y) = 0. Currently f(x,y) must be a polynomial in x and y.


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I would recast the time constraint on acquisition of items as a cost description, so assuming say 300 to spend in each period, the cost table looks like: $$\begin{matrix} & T_1 & T_2 & T_3 & \text {Max #}\\ \hline X_1 & 100 & 42.8 & 37.5 & 10 \\ X_2 & 75 & 33.3 & 42.8 & 8 \\ X_3 & 37.5 & 60 ...


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The function $f$ that you need is f:= P-> `if`(P::`*`, op(P), P); Note carefully the two pairs of backquotes.


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You can use the "op" command. For instance op(a+b) ; gives you $$a, b$$


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I still think LaTeX is the way to go. Once you start having to write several mathematical expressions, any kind of mouse-driven system for specifying them is going to become very frustrating. LaTeX is extremely efficient for doing exactly what you want to do. \begin{align*} c_1x + a &= c_2 x + b \\ c_1x + a - a &= c_2x + b - ...


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It is checking the number $2^{38006351}-1$ which has more than ten million digits.


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Many computer algebra systems are capable of such computation. I mainly deal with GAP (http://www.gap-system.org), where you can do this, for example, in a very simple way like this: gap> x:=Indeterminate(Rationals,"x"); x gap> f:=x^6+x; x^6+x gap> Value(f,11); 1771572 gap> Value(f,11) mod 19; 12 just to create a polynomial with rational ...


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Well $$ [op(m)][2] = {Y_{{1,2}}}^{2}. $$


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Algebrator (also called Softmath) is a computer algebra system (CAS), which was developed in the late 1990s by Neven Jurkovic of Softmath, San Antonio, Texas. It can show solution steps and context sensitive explanations.


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here is a complete list of softwares: http://en.wikipedia.org/wiki/List_of_interactive_geometry_software


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Another one is Plotly, which is entirely web-based and free for public use. Disclaimer: I help develop Plotly


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All books listed in the comments above are listed in my answer to the question Novel approaches to elementary number theory and abstract algebra, so I am placing a CW-answer here to remove this question from the unanswered queue.


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Solution (found by the OP): one can use "CTRL + ." instead of " = " in Mathcad. That gives the desired form of result.


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Karl Schwede answered this question here, as: Question 2: Computing it


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Given a group $G$, an ordered set $X$ and an action $\varphi: G \times X \to X$, based on your example you want a table with rows $g, \operatorname{im} \varphi(g, \cdot)$, where the images of the elements of $X$ are computed in the given order. We can arrange this in SAGE as follows (using your example): G = SymmetricGroup(4) X = ['A','B','C','D'] act = ...


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I know I'm jumping in quite late here, but for posterity, here is what I used in Sage 6.4: C=AbelianGroup([2,2]) M=C.cayley_table().table() matrix_plot(M) Matrix plot has various colour options. Try matrix_plot(M,options={'cmap':'winter'})



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