# Puzzles/Sum of a Vector

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< Puzzles

Find the sum of a non-empty numeric vector` v `without using the character` + `.
Currently, 10 essentially different solutions are listed below.

**Spoiler Alert!**

**Solutions**

**Expression****Comment**`".(43{a.)'/v'`a "cheat" `(--)/v`the dyad `(--)`is plus`-/v*(#v)$1 _1`alternating sum `1#.v`

`v p. 1`power series evaluated at 1 `v%.1``*&.^/v`

`*/&.:^v`works if `v`are real numbers`#v#1`

`#I.v`works if `v`are non-negative integers`>:@[&0/v`works if `v`are non-negative integers`(>:@$: <:)`[@.(0=])/v`

`(>:@$: <:)~^:(0<[)/v`works if `v`are non-negative integers; based on the Peano axioms`((*.,0:) $:&#. ~:)/@#:@,^:(0<[)/v`works if `v`are non-negative integers; implements addition on binary representations