Assume the following game results:

Assume a Bayesian game in which the agent's strategy and payoff are functions of its type and what others do,.

# Assume the first item is largest.

Assume that t seconds after his jump, his height above sea level in meters is given by.

Assume that NP is unequal co-NP and there is an NP-complete problem that is in co-NP.

and measure the parameter s from c. Assume r is to the right of c since the other case is implied by symmetry.

Assume is a square matrix with rows and columns, so that it can be written as

For systems where the volume is preserved by the flow, Poincaré discovered the recurrence theorem: Assume the phase space has a finite Liouville volume and let F be a phase space volume-preserving map and A a subset of the phase space.

Assume it is true for all numbers less than n. If n is prime, there is nothing more to prove.

Assume that s > 1 is the product of prime numbers in two different ways:

Assume a fair 16-sided die, where a win is defined as rolling a 1.

Assume a player is given 16 rolls to obtain at least one win ( 1 − p ( rolling no ones )).

Assume also that the likelihood of a variate being chosen is proportional to its value.

Assume ( D1 ) is true.

Assume ( D1 ) is false.

Assume ( E1 ) is true.

Assume ( E1 ) is false.

* Assume that each file is represented as a string of bits of some arbitrary length.

Assume further that the coordinate systems are oriented so that, in 3 dimensions, the x-axis and the x ' - axis are collinear, the y-axis is parallel to the y ' - axis, and the z-axis parallel to the z ' - axis.

Assume that the inverse demand curve is of the form x

Assume that his marginal cost is $ 5 per unit.

Assume that marginal cost is C < sub > M </ sub >= 12.

Assume there are a group of N atoms, each of which is capable of being in one of two energy states, either

Assume the motion of the projectile is being measured from a Free fall frame which happens to be at ( x, y )=( 0, 0 ) at t = 0.

Assume a C ++ application being edited in Visual Studio has a class < tt > Foo </ tt > with some member functions:

Assume that the owners of the factories are rewarded by receiving income proportional to the capital that they advanced for production ( with the proportion being determined by the profit rate ).

Assume hearts are trump and both red suit Aces have been played.

Assume that by a uniform pricing system the monopolist would sell five units at a price of $ 10 per unit.

Assume that Carol's key has been revoked ( e. g. by exceeding its expiration date, or because of a compromise of Carol's matching private key ).

Assume the wire costs are the same by weight.

Let's say this interaction is described by a unitary transformation U acting upon H. Assume the initial state of the environment is

Assume there are four agents: two use the tit-for-tat strategy, and two are " defectors " who will simply try to maximize their own winnings by always giving evidence against the other.

Consider a polygon P and a triangle T, with one edge in common with P. Assume Pick's theorem is true for both P and T separately ; we want to show that it is also true to the polygon PT obtained by adding T to P. Since P and T share an edge, all the boundary points along the edge in common are merged to interior points, except for the two endpoints of the edge, which are merged to boundary points.

Assume, as was taken for granted in Galton's time, that surnames are passed on to all male children by their father.

Assume that each case of cooperation increases the chance of survival and reproduction by 10 units, which is divided among the interacting pair ( group of two ).

Assume a ( pseudo ) Riemann manifold is embedded into Euclidean space via a ( twice continuously ) differentiable mapping such that the tangent space at is spanned by the vectors

Assume the consumer utility function is defined by, where U is consumer utility, x and y are goods.

Assume “ that most if not all frontal functions can be explained by one construct ( homogeneity of function ) such as working memory or inhibition ” ( Stuss, 1999, p. 348 ; cf.

Proof by Contradiction: Assume that there is a non-empty set of natural numbers that are not interesting.

# Assume all other duties assigned it by the Constitution or by law.

Assume that the traditional sector pays workers one unit of output which is subsequently spent equally by them in all sectors.

Assume that a string x is read by a deterministic finite automaton, with the machine proceeding into state p. If y is another string read by the machine, also terminating in the same state p, then clearly one has.

Let V < sup > i </ sup > be the subspace of V on which L < sub > 0 </ sub > has eigenvalue i. Assume that V is acted on by a group G which preserves all of its structure.

Assume that the temperature leaving the coil is 10 ° C ( 50 ° F ) and is heated to room temperature ( not mixed with room air ), which is found by following the horizontal humidity ratio from the dew point or saturation line to the room dry bulb temperature line and reading the relative humidity.

Assume this spin can be represented by a real vector, pointing in any direction.

Assume that the combined system determined by two random variables X and Y has entropy, that is, we need bits of information to describe its exact state.