SymbolicIdentityArray
SymbolicIdentityArray[{n1,n2,…}]
represents an n1×n2×…×n1×n2×… array with elements ai1,i2,…,j1,j2,… equal to 1 if all ikjk, and 0 otherwise.
Details
- Valid dimension specifications ni in SymbolicIdentityArray[{n1,n2,…}] are positive integers. It is also possible to work with symbolic dimension specifications.
- SymbolicIdentityArray may be produced by differentiation involving ArraySymbol objects.
- For an array a=SymbolicIdentityArray[{n1,n2,…}] with positive integer dimension specifications ni, Normal[a] converts a to an explicit array. SparseArray[a] converts a to a SparseArray.
Examples
open all close allBasic Examples (2)
The derivative of a symbolic array variable with respect to itself is a SymbolicIdentityArray:
Create a SymbolicIdentityArray with explicit numeric dimensions:
Convert a to an explicit array:
Convert a to a SparseArray:
Properties & Relations (5)
SymbolicIdentityArray gives a symbolic representation of the array:
Use Normal to convert a to an explicit array:
IdentityMatrix[n] gives an explicit version of SymbolicIdentityArray[{n}]:
SymbolicIdentityArray is a special case of SymbolicDeltaProductArray:
The derivative of a symbolic array variable with respect to itself is a SymbolicIdentityArray:
SymbolicIdentityArray objects are identity elements for ArrayDot:
Text
Wolfram Research (2024), SymbolicIdentityArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html.
CMS
Wolfram Language. 2024. "SymbolicIdentityArray." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html.
APA
Wolfram Language. (2024). SymbolicIdentityArray. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SymbolicIdentityArray.html