# Vocabulary/ampm

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`m&v y``u&n y`Bond Conjunction

Rank Infinity *-- operates on x and y as a whole --*
WHY IS THIS IMPORTANT?

(`m&v`) makes a monad out of a dyad `v` by supplying the (noun) value `m` as the *left* argument of `v`

(`m&v y`) is the same as (`m v y`)

triple =: 3&* i: 3 _3 _2 _1 0 1 2 3 triple i: 3 NB. Same as 3 * i: 3 _9 _6 _3 0 3 6 9

Conversely...

(`u&n`) makes a monad out of a dyad `u` by supplying the (noun) value `n` as the *right* argument of `u`

(`u&n y`) is the same as (`y u n`)

i:3 _3 _2 _1 0 1 2 3 gt0=: >&0 gt0 i:3 NB. Same as (i:3) > 0 0 0 0 0 1 1 1

### Common Uses

1. Weld a noun to a verb, creating a unit that bypasses processing by other modifiers. To prefix 'Mr. ' to each boxed string:

'Mr. '&, each 'Jones';'Smith';'Williams' +---------+---------+------------+ |Mr. Jones|Mr. Smith|Mr. Williams| +---------+---------+------------+

2. Create a monad out of a dyad when one is required.

`x m&v y``x u&n y`Bond Conjunction

Rank 0 _ *-- operates on atoms of x, and the entirety of y --*
WHY IS THIS IMPORTANT?

The dyad form applies the monad form to `y` repeatedly `x` times...

- Phrase:
`x m&v y`applies`m&v`to`y`repeatedly`x`times, and is equivalent to:`x (m&v @ ] ^: [)"0 _ y` - Phrase:
`x u&n y`applies`u&n`to`y`repeatedly`x`times, and is equivalent to:`x (u&n @ ] ^: [)"0 _ y`

See above for a description of the monadic form.