The result is an explicit choice function: a function that takes the first box to the first element we chose, the second box to the second element we chose, and so on.

The < tt > MixColumns </ tt > function takes four bytes as input and outputs four bytes, where each input byte affects all four output bytes.

* Binary function, a function in mathematics that takes two arguments

In mathematics, a binary function, or function of two variables, is a function which takes two inputs.

The subjective view, that the wave function is merely a mathematical tool for calculating the probabilities in a specific experiment, has some similarities to the Ensemble interpretation in that it takes probabilities to be the essence of the quantum state, but unlike the ensemble interpretation, it takes these probabilities to be perfectly applicable to single experimental outcomes, as it interprets

Suppose that F is a partial function that takes one argument, a finite binary string, and possibly returns a single binary string as output.

In mathematics and computer science, currying is the technique of transforming a function that takes multiple arguments ( or an n-tuple of arguments ) in such a way that it can be called as a chain of functions each with a single argument ( partial application ).

That is, takes an argument of type and returns a function of type.

Note that after calling, we are left with a function that takes a single argument and returns another function, not a function that takes two arguments.

Less formally, the equivalence relation ker on X, takes each function f: X → X to its kernel ker f. Likewise, ker ( ker ) is an equivalence relation on X ^ X.

A function call or syntactic form is written as a list with the function or operator's name first, and the arguments following ; for instance, a function f that takes three arguments might be called using.

Turing machines can compute functions as follows: if f is a function that takes natural numbers to natural numbers, M < sup > A </ sup > is a Turing machine with oracle A, and whenever M < sup > A </ sup > is initialized with the work tape consisting of n + 1 consecutive 1's ( and blank elsewhere ) M < sup > A </ sup > eventually halts with f ( n ) 1's on the tape, then M < sup > A </ sup > is said to compute the function f. A similar definition can be made for functions of more than one variable, or partial functions.

:: To solve the uniform word problem for a class K of groups it is sufficient to find a recursive function f ( P, w ) that takes a finite presentation P for a group G and a word w in the generators of G such that whenever in G ∈ K:

The function f clearly depends on the presentation P. Considering it to be a function of the two variables, a recursive function f ( P, w ) has been constructed that takes a finite presentation P for a group G and a word w in the generators of G such that whenever G has soluble word problem:

The production function takes the general form Y = f ( K, L ), where Y is output, K is capital stock and L is labor.

If f is differentiable at every point in some domain, then the gradient is a vector-valued function ∇ f which takes the point a to the vector ∇ f ( a ).

One way is to define a simpler function ( call it f ) that takes a set of elements, and returns a set that contains all of those elements plus all of their ( direct ) child elements.

However, the notion also applies to higher-order functions: f takes another function p such that p

In terms of the total mass M, the nuclear mass m, the density ρ, and a fudge factor f which takes into account geometrical and other effects, criticality corresponds to

It is safe to say that this takes at most f ( m )< sup > 3 </ sup > operations, so

A function f takes an input x, and returns an output f ( x ).

The flow now defines a map, the Poincaré map F: S → S, for points starting in S and returning to S. Not all these points will take the same amount of time to come back, but the times will be close to the time it takes x < sub > 0 </ sub >.

If the outcomes x < sub > i </ sub > are not equiprobable, then the simple average ought to be replaced with the weighted average, which takes into account the fact that some outcomes are more likely than the others.

The finite fields are classified by size ; there is exactly one finite field up to isomorphism of size p < sup > k </ sup > for each prime p and positive integer k. Each finite field of size q is the splitting field of the polynomial x < sup > q </ sup > − x, and thus the fixed field of the Frobenius endomorphism which takes x to x < sup > q </ sup >.

Let now x ' and y ' be tuples of previously unused variables of the same length as x and y respectively, and let Q be a previously unused relation symbol which takes as many arguments as the sum of lengths of x and y ; we consider the formula

Currently the entire Earth contains over 75 billion tons ( 150 trillion pounds or about 6. 8 x 10 < sup > 13 </ sup > kilograms ) of biomass ( life ), which lives within various environments within the biosphere .< ref > The figure " about one-half of one percent " takes into account the following ( See, e. g.,, which takes global average weight as 60 kg.

Each player takes it in turns to send their ball at least half way round the curved board until it drops down into one of the 9 indents of the 3 x 3 grid.

Each player takes turns to mark " x " or " o " on the board.

which has the same form as Hamilton's principle but in which x < sub > 3 </ sub > takes the role of time in classical mechanics.

The quantity x / c is the time that the wave takes to travel the distance x.

The notation denotes a function which takes one argument and returns it unchanged, printing the single character x as a side effect when it is invoked.

Imposing the condition that our antiderivative takes the value 100 at x = π is an initial condition.

The dot product of the two unit vectors then takes ( cos x, sin x ) and ( cos y, sin y ) for angles x and y and returns

Production assistance often takes the form of locating tools or materials which are urgently needed.

Used in several sets of high reps once or twice each week it will not be long before your entire upper leg takes on a razor-sharp definition in which the muscles look like wire cables writhing and twisting under the skin!!

Your ear takes you into the ensemble, and you may well become aware of instrumental details which previously were apparent only in the score.

Max, in a fit of despair, takes Alicia and runs off for two marvelous weeks in Burbank ( Fink calls it `` the most wonderful and lovely fourteen days in my whole life '' ), at the end of which Alicia tragically contracts Parkinson's disease and dies.

Under the auspices of the Outing Club, Dartmouth also has the Mountaineering Club, which takes on tough climbs like Mount McKinley, and Bait & Bullet, whose interests are self-evident, and even sports a Woodman's Team, which competes with other New England colleges in wood sawing and chopping, canoe races, and the like.

The great column from which the square takes its name was erected by the Emperor Marcus Aurelius.

If one takes the middle number, 5, and multiplies it by 3 ( the base number of the magic square of three ), the result is 15, which is also the constant sum of all the rows, columns, and two main diagonals.

Mr. Kennan takes careful account of every mitigating circumstance in recalling the historical atmosphere in which mistaken decisions were taken.

`` He has married me with a ring of bright water '', begins the Kathleen Raine poem from which Maxwell takes his title, and it is this mystic bond between the human and natural world that the author conveys.

I mean we know the order in which things happen, but we have no clocks and nobody cares enough to count days or to make calendars and there's not much climate here, so none of us know how long anything takes.

The high casualty figures of the Union alarmed the North ; Grant had lost a third of his army, and Lincoln asked what Grant's plans were, to which the general replied, " I propose to fight it out on this line if it takes all summer.

These larvae do not have gills but instead have specialised areas of skin through which respiration takes place.

Edmund Wilson argues that statistically " the logic of the ' Modest proposal ' can be compared with defense of crime ( arrogated to Marx ) in which he argues that crime takes care of the superfluous population ".

Amateur astronomers often like to keep records of their observations, which usually takes the form of an observing log.

In 1976 the International Astronomical Union ( IAU ) revised the definition of the AU for greater precision, defining it as that length for which the Gaussian gravitational constant ( k ) takes the value when the units of measurement are the astronomical units of length, mass and time.

* Celebration of the Slavery Abolition Act 1833 which ended the slavery in the British Empire, generally celebrated as a part of Carnival, as the Caribbean Carnival takes place at this time ( British West Indies ):

The extreme of Calvinism is hyper-Calvinism, which insists that signs of election must be sought before evangelization of the unregenerate takes place and that the eternally damned have no obligation to repent and believe, and on the extreme of Arminianism is Pelagianism, which rejects the doctrine of original sin on grounds of moral accountability ; but the overwhelming majority of Protestant, evangelical pastors and theologians hold to one of these two systems or somewhere in between.

* 1962 – Walter Cronkite takes over as the lead news anchor of the CBS Evening News, during which time he would become " the most trusted man in America ".

Odin's residence is Valhalla, to which he takes those slain in battle, the Einherjar ( Section 20 ).

The Saint Albert the Great Science Academy in San Carlos City, Pangasinan, which offers preschool, elementary and high school education, takes pride in having St. Albert as their patron saint.

In other words, there is no program which takes a string s as input and produces the integer K ( s ) as output.

* All Tomorrow's Parties ( music festival ), a music festival which takes place in Great Britain

In the 1990s, Jürgen Schmidhuber described an algorithmic theory of beauty which takes the subjectivity of the observer into account and postulates: among several observations classified as comparable by a given subjective observer, the aesthetically most pleasing one is the one with the shortest description, given the observer ’ s previous knowledge and his particular method for encoding the data.