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SymbolicZerosArray

New in 14.1[Experimental]

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represents an array of zeros with unspecified dimensions.

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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)Summary of the most common use cases

Arithmetic operations may return a SymbolicZerosArray:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-dt7ug1
In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-k4vz24
Out[2]=2

The derivative of a constant array is a SymbolicZerosArray:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-vp0kt
In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-vxjxp
Out[2]=2

Create a SymbolicZerosArray with explicit numeric dimensions:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-cfqmya
Out[1]=1

Convert a to an explicit array:

In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-d2sqr7
Out[2]=2

Convert a to a SparseArray:

In[3]:=3
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https://wolfram.com/xid/0c0oakm1ps2qi-wr1qc
Out[3]=3

Scope  (2)Survey of the scope of standard use cases

Arithmetic operations:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-i1mx3a
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-o4t53
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0c0oakm1ps2qi-pe2max
Out[3]=3

Array operations:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-lunyjf
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-coq16s
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0c0oakm1ps2qi-emy3gi
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0c0oakm1ps2qi-h7686h
Out[4]=4

Properties & Relations  (2)Properties of the function, and connections to other functions

SymbolicZerosArray gives a symbolic representation of the array:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-z7pn2i
Out[1]=1

ConstantArray gives an explicit array:

In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-plla2m
Out[2]=2

Use Normal to convert a to an explicit array:

In[3]:=3
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https://wolfram.com/xid/0c0oakm1ps2qi-4mh225
Out[3]=3

SymbolicOnesArray gives an array of ones:

In[1]:=1
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https://wolfram.com/xid/0c0oakm1ps2qi-8o8zxc
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0c0oakm1ps2qi-pjvi3i
Out[2]=2
Wolfram Research (2024), SymbolicZerosArray, Wolfram Language function, https://reference.wolfram.com/language/ref/SymbolicZerosArray.html.
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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.

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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.

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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

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

BibTeX

@misc{reference.wolfram_2025_symboliczerosarray, author="Wolfram Research", title="{SymbolicZerosArray}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/SymbolicZerosArray.html}", note=[Accessed: 24-March-2025 ]}

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@misc{reference.wolfram_2025_symboliczerosarray, author="Wolfram Research", title="{SymbolicZerosArray}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/SymbolicZerosArray.html}", note=[Accessed: 24-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_symboliczerosarray, organization={Wolfram Research}, title={SymbolicZerosArray}, year={2024}, url={https://reference.wolfram.com/language/ref/SymbolicZerosArray.html}, note=[Accessed: 24-March-2025 ]}

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@online{reference.wolfram_2025_symboliczerosarray, organization={Wolfram Research}, title={SymbolicZerosArray}, year={2024}, url={https://reference.wolfram.com/language/ref/SymbolicZerosArray.html}, note=[Accessed: 24-March-2025 ]}