; 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.

Suppose the formula for some given function is known, but too complex to evaluate efficiently.

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 Alice has a qubit in some arbitrary quantum state.

# Suppose that P is some piece of knowledge.

:: “ 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 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 homo economicus thinks about exerting some extra effort to defend the nation.

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 th root of unity for some odd prime.

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 ).

Suppose that one particle is in the state n < sub > 1 </ sub >, and another is in the state n < sub > 2 </ sub >.

Suppose a particle has position in a stationary frame of reference.

Suppose a particle starts at point A, and there is a force F acting on it.

Suppose that a particle of charge experiences an acceleration which is collinear with its velocity ( this is the relevant case for linear accelerators ).

Suppose that a particle moves along the curve with unit speed.

Suppose now that instead of one particle in this box we have N particles in the box and that these particles are fermions with spin 1 / 2.

Suppose we have an electron with energy above the Fermi surface, and suppose it scatters with a particle in the Fermi sea with energy.

Suppose a wavefunction is a solution of the wave equation, giving a description of the particle ( position, for time ).

Suppose a particle moves at a uniform rate along a line from A to B ( Figure 2 ) in a given time ( say, one second ), while in the same time, the line AB moves uniformly from its position at AB to a position at DC, remaining parallel to its original orientation throughout.

Suppose two forces act on a particle at the origin ( the " tails " of the vectors ) of Figure 1.

Suppose each set of quantum numbers specify states where is the number of internal degrees of freedom of the particle that can be altered by collision.

Suppose we wish to measure the position of a particle to within an accuracy Δx.

Suppose that the trajectory of the particle, which moves with the velocity, intersects at the point at time.

Suppose that there are two reference frames S and S < nowiki > '</ nowiki >, where S < nowiki > '</ nowiki > is moving relative to S. The origin of S < nowiki > '</ nowiki > moves along some curve in S, which can be traced out by some vector C which is a function of t. The Einstein force is the apparent force acting on a particle of mass m in the S < nowiki > '</ nowiki > frame, and is defined by

Suppose, says Dr. Lyttleton, the proton has a slightly greater charge than the electron ( so slight it is presently immeasurable ).

Suppose that has an inverse function.

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 Alice has a qubit that she wants to teleport to Bob.

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 that a certain slot machine costs $ 1 per spin and has a return to player ( RTP ) of 95 %.

Suppose the typewriter has 50 keys, and the word to be typed is banana.

Suppose this fuzzy system has the following rule base:

Suppose a lossless antenna has a radiation pattern given by:

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 a computer has three CD drives and three processes.

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 the table has r rows and c columns ; the row sums are and the column sums are.