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Wolfram Language & System Documentation Center
Insert
  • See Also
    • Prepend
    • Append
    • Riffle
    • StringInsert
    • Take
    • Drop
    • Delete
    • ReplacePart
    • FlattenAt
    • Position
    • SubsetMap
    • Splice
    • Sequence
  • Related Guides
    • Parts of Expressions
    • Database-Like Operations on Datasets
    • Computation with Structured Datasets
    • Elements of Lists
    • Function Composition & Operator Forms
  • Tech Notes
    • Adding, Removing, and Modifying List Elements
    • Manipulating Lists by Their Indices
    • See Also
      • Prepend
      • Append
      • Riffle
      • StringInsert
      • Take
      • Drop
      • Delete
      • ReplacePart
      • FlattenAt
      • Position
      • SubsetMap
      • Splice
      • Sequence
    • Related Guides
      • Parts of Expressions
      • Database-Like Operations on Datasets
      • Computation with Structured Datasets
      • Elements of Lists
      • Function Composition & Operator Forms
    • Tech Notes
      • Adding, Removing, and Modifying List Elements
      • Manipulating Lists by Their Indices

Insert[list,elem,n]

inserts elem at position n in list. If n is negative, the position is counted from the end.

Insert[expr,elem,{i,j,…}]

inserts elem at position {i,j,…} in expr.

Insert[expr,elem,{{i1,j1,…},{i2,j2,…},…}]

inserts elem at several positions.

Insert[elem,pos]

represents an operator form of Insert that can be applied to an expression.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Position Specifications  
Associations  
Applications  
Properties & Relations  
See Also
Tech Notes
Related Guides
Related Links
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • Prepend
    • Append
    • Riffle
    • StringInsert
    • Take
    • Drop
    • Delete
    • ReplacePart
    • FlattenAt
    • Position
    • SubsetMap
    • Splice
    • Sequence
  • Related Guides
    • Parts of Expressions
    • Database-Like Operations on Datasets
    • Computation with Structured Datasets
    • Elements of Lists
    • Function Composition & Operator Forms
  • Tech Notes
    • Adding, Removing, and Modifying List Elements
    • Manipulating Lists by Their Indices
    • See Also
      • Prepend
      • Append
      • Riffle
      • StringInsert
      • Take
      • Drop
      • Delete
      • ReplacePart
      • FlattenAt
      • Position
      • SubsetMap
      • Splice
      • Sequence
    • Related Guides
      • Parts of Expressions
      • Database-Like Operations on Datasets
      • Computation with Structured Datasets
      • Elements of Lists
      • Function Composition & Operator Forms
    • Tech Notes
      • Adding, Removing, and Modifying List Elements
      • Manipulating Lists by Their Indices

Insert

Insert[list,elem,n]

inserts elem at position n in list. If n is negative, the position is counted from the end.

Insert[expr,elem,{i,j,…}]

inserts elem at position {i,j,…} in expr.

Insert[expr,elem,{{i1,j1,…},{i2,j2,…},…}]

inserts elem at several positions.

Insert[elem,pos]

represents an operator form of Insert that can be applied to an expression.

Details

  • If the position n is given as a positive integer, the new element is inserted before the element at position n. If n is negative, the new element is inserted after the existing one. »
  • list can have any head, not necessarily List. »
  • If expr has length l, Insert[expr,elem,l+1] appends elem at the end. Conversely, Insert[expr,elem,-l-1] prepends elem at the beginning. »
  • If expr is an Association object, Insert[expr,key->value,pos] inserts an element in the association.
  • When inserting into an association, positions may additionally be given as Key[k] as well as the short form "key". »
  • If the key of the element to be inserted is already present, then the old element with the same key is deleted. »
  • Insert works on SparseArray objects by effectively inserting into the corresponding ordinary lists.
  • Insert[elem,pos][expr] is equivalent to Insert[expr,elem,pos].

Examples

open all close all

Basic Examples  (5)

Insert x before position 3:

Insert x after position 2 from the end:

Insert x before the first element, before the third element and after the last element:

For associations, positions can be specified using Key:

Insert into an expression with any head:

Scope  (11)

Position Specifications  (5)

Insert into a single, deeper position:

Insert at any position in any expression:

Insert at position {1,3} in a matrix, making the first row four elements long:

Insert before the first and third parts (rows) of a matrix:

Insert several elements into the matrix, creating a 3×4 matrix:

Define an operator form of Insert and use it on multiple expressions:

Mix integer parts and Key[key] parts in a single specification:

Associations  (6)

For string keys, the Key wrapper is optional:

Insert before the second position:

Insert before the key 2:

Insert several elements:

Inserting entries with repeating keys in an Association overrides earlier values:

Insert after the last element:

Insert at deeper levels:

Only a rule or list of rules can be inserted into the first level of an association:

Applications  (1)

Insert into a held expression:

Insert an unevaluated expression into the held expression:

Properties & Relations  (7)

If the insertion position is positive, the new element is inserted before the existing element:

If the position is negative, the new element comes after the existing element:

Valid positive positions range from 1 to Length[expr]+1:

Valid negative positions range from -1 down to -Length[expr]-1:

Insertion positions always refer to positions in the original expression:

Thus, only the first insertion is guaranteed to appear at the specified insertion position:

If a position is repeated, multiple insertions will occur at that position:

This can be used to surround an existing element with a new element:

Insert[elem,1] is equivalent to Prepend[elem]:

Insert[elem,-1] is equivalent to Append[elem]:

Insert takes position specifications as returned by Position:

See Also

Prepend  Append  Riffle  StringInsert  Take  Drop  Delete  ReplacePart  FlattenAt  Position  SubsetMap  Splice  Sequence

Function Repository: SpliceAt

Tech Notes

    ▪
  • Adding, Removing, and Modifying List Elements
  • ▪
  • Manipulating Lists by Their Indices

Related Guides

    ▪
  • Parts of Expressions
  • ▪
  • Database-Like Operations on Datasets
  • ▪
  • Computation with Structured Datasets
  • ▪
  • Elements of Lists
  • ▪
  • Function Composition & Operator Forms

Related Links

  • NKS|Online  (A New Kind of Science)

History

Introduced in 1988 (1.0) | Updated in 2003 (5.0) ▪ 2014 (10.0)

Wolfram Research (1988), Insert, Wolfram Language function, https://reference.wolfram.com/language/ref/Insert.html (updated 2014).

Text

Wolfram Research (1988), Insert, Wolfram Language function, https://reference.wolfram.com/language/ref/Insert.html (updated 2014).

CMS

Wolfram Language. 1988. "Insert." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/Insert.html.

APA

Wolfram Language. (1988). Insert. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Insert.html

BibTeX

@misc{reference.wolfram_2025_insert, author="Wolfram Research", title="{Insert}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/Insert.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_insert, organization={Wolfram Research}, title={Insert}, year={2014}, url={https://reference.wolfram.com/language/ref/Insert.html}, note=[Accessed: 01-December-2025]}

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