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SymbolicZerosArray[]

represents an array of zeros with unspecified dimensions.

SymbolicZerosArray[{n1,n2,…}]

represents an n1×n2×… array of zeros.

Details
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Basic Examples  
Scope  
Properties & Relations  
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SymbolicZerosArray

SymbolicZerosArray[]

represents an array of zeros with unspecified dimensions.

SymbolicZerosArray[{n1,n2,…}]

represents an n1×n2×… array of zeros.

Details

  • Valid dimension specifications ni in SymbolicZerosArray[{n1,n2,…}] are positive integers. It is also possible to work with symbolic dimension specifications.
  • SymbolicZerosArray may be produced by arithmetic operations and differentiation involving ArraySymbol objects.
  • For an array a=SymbolicZerosArray[{n1,n2,…}] with positive integer dimension specifications ni, Normal[a] converts a to an explicit array. SparseArray[a] converts a to a SparseArray.

Examples

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Basic Examples  (3)

Arithmetic operations may return a SymbolicZerosArray:

Wolfram Language code: a = ArraySymbol["a", {m, n, p}];
Wolfram Language code: a - a

The derivative of a constant array is a SymbolicZerosArray:

Wolfram Language code: a = MatrixSymbol["a", {m, n}]; v = VectorSymbol["v", d];
Wolfram Language code: D[a, v]

Create a SymbolicZerosArray with explicit numeric dimensions:

Wolfram Language code: a = SymbolicZerosArray[{2, 2, 2}]

Convert a to an explicit array:

Wolfram Language code: Normal[a]

Convert a to a SparseArray:

Wolfram Language code: SparseArray[a]

Scope  (2)

Arithmetic operations:

Wolfram Language code: SymbolicZerosArray[{m, n}] + 1
Wolfram Language code: 0 ArraySymbol["a", {m, n, p}]
Wolfram Language code: SymbolicZerosArray[{m, n}] MatrixSymbol["a", {m, n}]

Array operations:

Wolfram Language code: Transpose[SymbolicZerosArray[{m, n}]]
Wolfram Language code: SymbolicZerosArray[{m, n, p}].MatrixSymbol["a", {p, r}]
Wolfram Language code: ArrayDot[ArraySymbol["a", {k, l, m, n}], SymbolicZerosArray[{m, n, p}], 2]
Wolfram Language code: TensorProduct[MatrixSymbol["a", {k, l}], SymbolicZerosArray[{m, n, p}]]

Properties & Relations  (2)

SymbolicZerosArray gives a symbolic representation of the array:

Wolfram Language code: a = SymbolicZerosArray[{2, 2, 2}]

ConstantArray gives an explicit array:

Wolfram Language code: b = ConstantArray[0, {2, 2, 2}]

Use Normal to convert a to an explicit array:

Wolfram Language code: Normal[a] === b

SymbolicOnesArray gives an array of ones:

Wolfram Language code: a = SymbolicOnesArray[{2, 3, 4}]
Wolfram Language code: a - 1
Wolfram Research (2024), SymbolicZerosArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SymbolicZerosArray.html.

Text

Wolfram Research (2024), SymbolicZerosArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SymbolicZerosArray.html.

CMS

Wolfram Language. 2024. "SymbolicZerosArray." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SymbolicZerosArray.html.

APA

Wolfram Language. (2024). SymbolicZerosArray. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SymbolicZerosArray.html

BibTeX

@misc{reference.wolfram_2026_symboliczerosarray, author="Wolfram Research", title="{SymbolicZerosArray}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/SymbolicZerosArray.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_symboliczerosarray, organization={Wolfram Research}, title={SymbolicZerosArray}, year={2024}, url={https://reference.wolfram.com/language/ref/SymbolicZerosArray.html}, note=[Accessed: 13-June-2026]}