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For questions about symbolic computation, as opposed to numerical computations.

0 votes
0 answers
405 views

Mathematical symbol and name for Symbolic Replacement

(Originally from math.SE, but might be better here) I'm searching for a mathematical symbol, that describes the symbolic replacement done for instance in Mathematica: f[xx_, a_, b_] := 3*xx /. … And then, there are those symbolic replacement operations denoted by /. { someA -> someB}. I am interested in the mathematically correct name for the second part. Thanks! …
Mario Krenn's user avatar
  • 2,192
7 votes
3 answers
488 views

Symbolic manipulation of expression with undefined function

I have an expression which is a sum of undefined function v[n1,n2,n3,n4] with 4 arguments (n_i are integers): expr=a*v[n1, n2, n3, n4] + b*v[n5, n6, n7, n8] + c*v[n9, n10, n11, n12] + .... Now I in …
Mario Krenn's user avatar
  • 2,192
1 vote
1 answer
168 views

Unique Replacement of Symbol

I have formular = a[0]*e[0] + a[0]*e[1] + b[1]*e[0] + c[0]*e[1] and I want to replace every e[_] into some unique symbol: formularNew = UniqueReplacement[formular] formularNew = a[0]*uu[10928 …
Mario Krenn's user avatar
  • 2,192
1 vote
2 answers
142 views

Fast symbolic manipulation of expression with undefined function

I have an expression which consists of terms with undefined function calls a[n]: example = 1 - c^2 + c a[1] a[2] + 1/2 c^2 a[1]^2 a[2]^2 + c a[1] a[3] Now I want to transform each term with individ …
Mario Krenn's user avatar
  • 2,192
7 votes
2 answers
231 views

Efficient Search for specific Terms in symbolic Expression

I have a large symbolic expression with six variables a,b,c,d,e,f per term, roughly like this: expr=a^2 b c d^2 + 1/2 a b (b + I d) e^3 - 1/8 I a (c + 1/2 I (c + I d))^2 (I b + 1/2 (c + I d)) e f I … I can solve it using Expand and symbolic replacements, but this is very slow, and I was hoping for a much faster way. Does anybody have a suggestion for a faster implementation? …
Mario Krenn's user avatar
  • 2,192