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Questions on the correct (or improved) formulation of Mathematica code to achieve particular results. Use this tag (not "symbol") for questions about all those odd @@ /@ # & and _ characters, which are keyboard shortcuts for the Wolfram Language named functions Apply, Map, Slot, Function, and Blank.

0 votes
2 answers
81 views

Difference between % and the variable it is representing?

I have this code. The problem I have is with the % in the Manipulate (after Grid). If I replace % with data, then the values are not evaluated anymore? But how come? Isn't the % refering to data? Cle …
GambitSquared's user avatar
2 votes
2 answers
130 views

Romberg integration with NestList or FoldList?

I am using a NestList like this: NestList[((4 #2 - #1)/3) & @@@ Partition[#, 2, 1] &, T, Length[T] - 1] But the function that is applied on the Partition is not complete, it should include informat …
GambitSquared's user avatar
4 votes
4 answers
851 views

How can I write this using fewer variables?

Amateur here! I made a short piece of code that creates a line that turns in the positive direction (up or to the right) if the sum of the digits of the outcome of a function (x^2 in this case) is eve …
GambitSquared's user avatar
1 vote
0 answers
64 views

Simple list manipulation [closed]

I have two lists: {1,2,3} and {a,b,c} and I want this result: {{1,a},{2,b},{3,c}}. What is the right command? How does one call such an operation?
GambitSquared's user avatar
0 votes
2 answers
87 views

SameQ shorthand [closed]

I thought that === is shorthand for SameQ? Then why do these two expressions yield True for one and False for the other? SameQ[((k^2 (k + 1)^2)/4 + (k + 1)^3) == (((k + 1)^2 (k + 2)^2)/4)] ((k^2 (k + …
GambitSquared's user avatar
4 votes
1 answer
844 views

Meaning of (a : _ : 1)

This is an example from Leonid Shifrin's tutorial: testexpr = Expand[(1 + x)^10] newexpr = Replace[testexpr, {(a : _ : 1)*x^(y_?EvenQ) :> a*f[x^y], a_ /; FreeQ[a, x] :> f[a]}, 1] Basic questi …
GambitSquared's user avatar
7 votes
2 answers
3k views

Difference between != and =!=

I (think I) understand the difference between == (semantic) and === (syntactic). So when comparing != and =!= I was expecting a similar difference. So can anyone explain why the third line in this cod …
GambitSquared's user avatar
1 vote
0 answers
73 views

Why is my array not displayed in TableForm? [duplicate]

Why is the array produced by the following not displayed in TableForm? NumberForm[Table[Sum[(-1)^n 1/n!, {n, 0, i}], {i, 10}] // N, 12] // TableForm {0., 0.5, 0.333333333333, 0.375, 0.366666666 …
GambitSquared's user avatar
0 votes
0 answers
145 views

Indicate level with Replace [duplicate]

Replace[{{x^2, Sqrt[x]}, {x + 1, x - 3}}, f_[x__] -> f, 1] Level 1 of Replace works here as expected with output {List,List} Replace[{{x^2, Sqrt[x]}, {x + 1, x - 3}}, f_[x__] -> f, 2] But with le …
GambitSquared's user avatar
25 votes
5 answers
4k views

How do I increase the readability of this code?

Below is some code I am working on; being a beginner. How can I increase the readability of the part behind Manipulate? I can't read my own code anymore, because it is simply too long and unordered. …
GambitSquared's user avatar
2 votes
1 answer
122 views

Rule vs RuleDelayed in the context of StringReverse [duplicate]

{"test", 3} /. s_String :> StringReverse[s] {"test", 3} /. s_String -> StringReverse[s] The second line gives the error: StringReverse: String expected at position 1 in StringReverse[s] Questi …
GambitSquared's user avatar