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# Minimisation operator: Given a ( k + 1 )- ary total function:

from
Wikipedia

## Some Related Sentences

# and operator

__#__Composition

__operator__

**(**also called the substitution

__operator__):

**Given**an m-ary

**function**and m k-ary functions

**:**

__#__The test purported to be expert evidence by the witness who was not qualified as an expert, he was merely an

__operator__and assessor of

**a**polygraph.

__#__Devoid of any proved or accepted scientific basis, the evidence of the

__operator__is hearsay which is inadmissible.

__#__Personal Central Certification

**:**The concept of central certification is that an NDT

__operator__can obtain certification from

**a**central certification authority, that is recognized by most employers, third parties and / or government authorities.

# and Given

__#__

__Given__any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f

**(**x )

__#__

__Given__an array of values to be sorted, set up an auxiliary array of initially empty " pigeonholes ," one pigeonhole for each key through the range of the original array.

__#__

__Given__

**a**large enough beta-tester and co-developer base, almost every problem will be characterized quickly and the fix obvious to someone.

__#__

__Given__any elements

**a**and

**a**' of G, if

**a**~

**a**', then

**a**< sup >−

**1**</ sup > ~

**a**' < sup >−

**1**</ sup >

**(**this can actually be proven from the other four, so is strictly redundant ).

__#__

__Given__u and v in W, then they can be expressed as u =

**(**u < sub >

**1**</ sub >, u < sub > 2 </ sub >, 0 ) and v =

**(**v < sub >

**1**</ sub >, v < sub > 2 </ sub >, 0 ).

__#__

__Given__u in W and

**a**scalar c in R, if u =

**(**u < sub >

**1**</ sub >, u < sub > 2 </ sub >, 0 ) again, then cu =

**(**cu < sub >

**1**</ sub >, cu < sub > 2 </ sub >, c0 ) =

**(**cu < sub >

**1**</ sub >, cu < sub > 2 </ sub >, 0 ).

__Given__that the state itself is the

__#__

**1**producer of raspberries in the country, with over 87. 8 % of the crop in 2002, this makes Whatcom County responsible for almost 75 % of the nation's raspberry production.

__#__Launched Global Food Crisis Response Program

**:**

__Given__grants to approximately 40 nations for seeds, etc.

__#__

__Given__two points p < sub >

**1**</ sub > and p < sub > 2 </ sub >, there is

**a**unique fold that passes through both of them.

__#__

__Given__two points p < sub >

**1**</ sub > and p < sub > 2 </ sub >, there is

**a**unique fold that places p < sub >

**1**</ sub > onto p < sub > 2 </ sub >.

__#__

__Given__two lines l < sub >

**1**</ sub > and l < sub > 2 </ sub >, there is

**a**fold that places l < sub >

**1**</ sub > onto l < sub > 2 </ sub >.

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