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

7 votes

Find peaks, max and min of an interpolation function?

This functionality is included in the FindMaxima, FindMinima & FindExtrema functions in my EcoEvo package (the continuous part is based on this answer by @DanielLichtblau). …
Chris K's user avatar
  • 20.4k
5 votes

Creating a new list from two lists

Thread[{1, 2, 3} -> {a, b, c}] (* {1 -> a, 2 -> b, 3 -> c} *) Note that the string "->" is different than -> and multiplying isn't the same as inserting. Also, it is generally recommended to avoid us …
Chris K's user avatar
  • 20.4k
2 votes
0 answers
96 views

Complicated output from simple Eigenvalues problem

I have code that uses Eigenvalues on matrices of various sizes. But the output of what should be a very simple problem, namely finding the eigenvalue of a 1x1 matrix, is overly complicated. Eigenval …
Chris K's user avatar
  • 20.4k
3 votes
2 answers
126 views

Rescaling RegionFunction in StreamPlot

I often use a version of @Rahul's myStreamPlot (original here) to make nice looking StreamPlots. Briefly, it rescales the axes to achieve a more even distribution of streams. Options[myStreamPlot] = …
Chris K's user avatar
  • 20.4k
5 votes
Accepted

How do I create a n*n matrix with a Do loop?

Better to use Table: n = Input["What positive integer would you like to start your matrix with?"]; Table[i + j*n, {j, 0, n - 1}, {i, n}]
Chris K's user avatar
  • 20.4k
0 votes

Implementing delay in NestList?

I prefer the syntax of RecurrenceTable, which is similar to the syntax of NDSolve. Does this seem OK? k = 4; K = 0.2; r = 3.6; RecurrenceTable[Join[ {x[n + 1] == (1 - K) r x[n] (1 - x[n]) + K x[n …
Chris K's user avatar
  • 20.4k
3 votes

Arrays, Mapping, and Convolutions

Something like this? pts = {mc, mR1, mR2, mR3, mL1, mL2, mL3, mU, mD}; ThreeDnd[x_, y_, pt_, σ1_, σ2_] := PDF[BinormalDistribution[pt, {σ1, σ2}, 1/2], {x, y}]; Plot3D[ Evaluate[Sum[ThreeDnd[x, y …
Chris K's user avatar
  • 20.4k