Plus

Plus(a, b, ...)

a + b + ...

represents the sum of the terms a, b, ....

Note: the Plus operator has the attribute Flat (associative property), Orderless (commutative property), OneIdentity and Listable.

Examples

>> 1 + 2
3

Plus performs basic simplification of terms:

>> a + b + a
2*a+b

>> a + a + 3 * a
5*a

>> a + b + 4.5 + a + b + a + 2 + 1.5 * b
6.5+3.0*a+3.5*b

Apply Plus on a list to sum up its elements:

>> Plus @@ {2, 4, 6}
12

The sum of the first 1000 integers:

>> Plus @@ Range(1000)
500500

Plus has default value 0:

>> a /. n_. + x_ :> {n, x}
{0,a}

>> -2*a - 2*b
-2*a-2*b

>> -4+2*x+2*Sqrt(3)
-4+2*x+2*Sqrt(3)

>> 1 - I * Sqrt(3)
1-I*Sqrt(3)

>> Head(3 + 2 I)
Complex

>> N(Pi, 30) + N(E, 30)
5.85987448204883847382293085463

>> N(Pi, 30) + N(E, 30) // Precision
30

Related terms

Flat, Listable, OneIdentity, Orderless

Implementation status

• ✅ - full supported

Github

• Implementation of Plus