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Questions about the use of built-in Mathematica functions, including pure functions.

1 vote
2 answers
127 views

UnsameQ exhibits different behavior than !SameQ

I do not understand the UnsameQ[] behavior below. (I need UnsameQ[] as I may have variables in the array.) {-7, 3, 2} /. x_ /; x == 3 -> w (*{-7, w, 2}*) {-7, 3, 2} /. x_ /; x != 3 -> w (*{w, 3, w}* …
Aharon Naiman's user avatar
4 votes
0 answers
115 views

Order of evaluation of FunctionDomain, Reduce, Solve, etc

For the input (mine is much more complicated, this is a toy example): x/x /. x -> 0 the output of 1 (as opposed to Indeterminate) is understood (although I cannot say I am happy about it), when loo …
Aharon Naiman's user avatar
2 votes
0 answers
140 views

How to prove subspaces of function spaces?

Element[x, Reals], k1 (a1 x^2 + b1 x) + k2 (a2 x^2 + b2 x) == a3 x^2 + b3 x], {a3, b3}, Reals] which produces: a3 == a1 k1 + a2 k2 && b3 == b1 k1 + b2 k2 My question is how to do this for functions … I guess I would have to start with being able to define a vector space for functions, e.g., those defined (or continuous) on [0,2]. But I do not know how to do that. …
Aharon Naiman's user avatar
4 votes
1 answer
267 views

PlotLegends disappearing with list of functions

I know that funcs==={x^2}, so that is a list of functions of x, which it should be. Thanx. …
Aharon Naiman's user avatar