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Mathematica > Mathematics and Algorithms > Mathematical Functions > Arithmetic Functions >

Plus (+)

x+y+z
represents a sum of terms.

In mixed fractions such as 1, the implicit addition can be entered as 1 Esc + Esc or 1 \[ImplicitPlus]. This evaluates to , but implicit addition is an operator with much higher precedence than +.

Unlike other functions, Plus applies built-in rules before user-defined ones. As a result, it is not possible to make definitions such as .

Plus threads element-wise over lists:

Explicit FullForm:

If any number is approximate, the whole result will be:

Complex numbers add their components:

Plus threads element-wise over lists:

Matrices add element-wise:

Plus sorts its arguments:

Display terms in a sum in a traditional order:

Display a sum without evaluation:

Display the FullForm of a sum:

Find the length of a sum:

Total applies Plus to a list:

Pattern matching works with Plus:

Distribute a function over Plus:

Distribute Plus through a head:

Accumulate makes a cumulative sum: