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Suppose Alice has a qubit in some arbitrary quantum state.
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Suppose and Alice
An example: Suppose that only Alice, Bob, and Carol have the keys to a bank safe and that, one day, the contents of the safe are missing ( without the lock being violated ).
Suppose that the number of puzzles sent by Bob is m, and it takes both Bob and Alice n steps of computation to solve one puzzle.
Suppose Alice and Bob have to decide whether to go to the cinema to see a ' chick flick ', and that each has the liberty to decide whether to go themselves.
Suppose and has
Suppose, says Dr. Lyttleton, the proton has a slightly greater charge than the electron ( so slight it is presently immeasurable ).
Suppose a definition of a capacitor has an associated attribute called " Capacitance ", corresponding to the physical property of the same name, with a default value of " 100 pF " ( 100 picofarads ).
Suppose both ISPs have trans-Atlantic links connecting their two networks, but A < nowiki >' s </ nowiki > link has latency 100 ms and B's has latency 120 ms.
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 some
; Dennett's reply from natural selection: Suppose that, by some mutation, a human being is born that does not have Searle's " causal properties " but nevertheless acts exactly like a human being.
It is frequently stated in the following equivalent form: Suppose that is continuous and that u is a real number satisfying or Then for some c ∈ b, f ( c ) = u.
:: “ Suppose that a sheriff were faced with the choice either of framing a Negro for a rape that had aroused hostility to the Negroes ( a particular Negro generally being believed to be guilty but whom the sheriff knows not to be guilty )— and thus preventing serious anti-Negro riots which would probably lead to some loss of life and increased hatred of each other by whites and Negroes — or of hunting for the guilty person and thereby allowing the anti-Negro riots to occur, while doing the best he can to combat them.
Suppose block M is a dominator with several incoming edges, some of them being back edges ( so M is a loop header ).
* Suppose that is a sequence of Lipschitz continuous mappings between two metric spaces, and that all have Lipschitz constant bounded by some K. If ƒ < sub > n </ sub > converges to a mapping ƒ uniformly, then ƒ is also Lipschitz, with Lipschitz constant bounded by the same K. In particular, this implies that the set of real-valued functions on a compact metric space with a particular bound for the Lipschitz constant is a closed and convex subset of the Banach space of continuous functions.
Suppose some given data points each belong to one of two classes, and the goal is to decide which class a new data point will be in.
Suppose M is some 2-dimensional Riemannian manifold ( not necessarily compact ), and we specify a " triangle " on M formed by three geodesics.
Suppose we are given boundary conditions, i. e., a specification of the value of φ at the boundary if M is compact, or some limit on φ as x approaches ∞.
Suppose, however, that we have some matrix Q that is not a pure rotation — due to round-off errors, for example — and we wish to find the quaternion q that most accurately represents Q.
Suppose two people who once loved each other come to be on bad terms ; they must make some condition of reconciliation before the love they previously enjoyed can be revived.
Suppose that the government finances some extra spending through deficits ; i. e. it chooses to tax later.
Suppose we can use some number, to index the quality of used cars, where is uniformly distributed over the interval.
Suppose that hunting requires also some arrows, with input coefficients equal to, meaning that to catch for instance one beaver you need to use arrows, besides hours of labour.
Suppose that ζ is an lth root of unity for some odd regular prime l. Since l is regular, we can extend the symbol
Suppose for some unknown constants and unobserved random variables, where and, where < math > k < p </ math >, we have
Suppose some theory T implies an observation O ( observation meaning here the result of the observation, rather than the process of observation per se ):
Suppose that we have statements, denoted by some formal sequence of symbols, about some objects ( for example, numbers, shapes, patterns ).
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