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Suppose that has an inverse function.
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Suppose and has
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Suppose a partially ordered set P has the property that every chain ( i. e. totally ordered subset ) has an upper bound in P. Then the set P contains at least one maximal element.
Suppose a non-empty partially ordered set P has the property that every non-empty chain has an upper bound in P. Then the set P contains at least one maximal element.
:" Moses said to God, ' Suppose I go to the Israelites and say to them, " The God of your fathers has sent me to you ," and they ask me, ‘ What is his name ?’ Then what shall I tell them ?” God said to Moses, “ I AM WHO I AM " — Exodus 3: 13-14 ( New International Version ) ( see Tetragrammaton ).
Suppose, for example, that A is a 3 × 3 rotation matrix which has been computed as the composition of numerous twists and turns.
Suppose that a taxi firm has three taxis ( the agents ) available, and three customers ( the tasks ) wishing to be picked up as soon as possible.
Suppose V is a subset of R < sup > n </ sup > ( in the case of n = 3, V represents a volume in 3D space ) which is compact and has a piecewise smooth boundary S. If F is a continuously differentiable vector field defined on a neighborhood of V, then we have
INTERVIEWER: Suppose someone called you and said there was a kid, nineteen or twenty years old, who has been a very good boy, but all of a sudden this week he started walking around the neighborhood carrying a large cross.
Suppose Eve has intercepted the cryptogram below, and it is known to be encrypted using a simple substitution cipher:
Suppose that one has a table listing the population of some country in 1970, 1980, 1990 and 2000, and that one wanted to estimate the population in 1994.
Suppose and inverse
* Suppose that is the infinite cyclic group and the set S consists of the standard generator 1 and its inverse (− 1 in the additive notation ) then the Cayley graph is an infinite chain.
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Suppose and function
Suppose that F is a partial function that takes one argument, a finite binary string, and possibly returns a single binary string as output.
Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.
# Suppose there exists a function called Insert designed to insert a value into a sorted sequence at the beginning of an array.
Suppose that the set of indices such that is decidable ; then, there exists a function that returns if, and otherwise.
Suppose, for concreteness, that we have an algorithm for examining a program p and determining infallibly whether p is an implementation of the squaring function, which takes an integer d and returns d < sup > 2 </ sup >.
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Suppose U is an open subset of the complex plane C, f: U → C is a holomorphic function and the closed disk
Suppose U is a simply connected open subset of the complex plane, and a < sub > 1 </ sub >,..., a < sub > n </ sub > are finitely many points of U and f is a function which is defined and holomorphic on U
Suppose there is a sample of n independent and identically distributed observations, coming from a distribution with an unknown probability density function f < sub > 0 </ sub >(·).
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Suppose that the alternatives can be partitioned into subsets, where each subset has its own cost function, and each alternative belongs to only one subset.
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