# 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 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 A is true.

Assume that the available data ( y < sub > i </ sub >, x < sub > i </ sub >) are mismeasured observations of the “ true ” values ( y < sub > i </ sub >*, x < sub > i </ sub >*):

Assume the square root of D is a rational number p / q, assume the q here is the smallest for which this is true, hence the smallest number for which q √ D is also an integer.

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 that the " true " model to be estimated is,

Assume, for example, a situation where a farm has a packing shed and fields.

Assume for the moment that g ( x ) does not equal g ( a ) for any x near a.

Assume, for purpose of finding a contradiction, that e is algebraic.

Assume is an odd integer with and suppose and for.

Assume is an even integer with and, for.

Assume praise is a positive reinforcer for a particular employee.

Assume for a two-dimensional turbulent flow that one was able to locate a specific point in the fluid and measure the actual velocity of every particle that passed through that point at any given time.

Assume that there exists a basis for such that and are all approximately orthogonal to a good degree if i is not j and the same thing for and and also and for any i and j ( the decoherence property ).

* Assume a fixed domain of discourse for every quantification, as is done in Zermelo – Fraenkel set theory,

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

Assume that the phase differences will be small ( much less than 1 radian, for example ).

Assume, for example, that a conditional jump is taken every third time.

Assume that is well defined and finite valued for all.

Assume we repeatedly take samples of a given size from this population and calculate the arithmetic mean for each sample — this statistic is called the sample mean.

Assume an attacker manages to get hold of a password that was used for a successful authentication.

Assume that in these animals a gene, called a, codes for parental care, and its other allele, called A, codes for an absence thereof.

Assume that all floating point operations use the standard IEEE 754 double-precision arithmetic.

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.

# Assume the supreme command of all armed institutions and determine their general organization ;

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

Assume from now on all mappings are continuous functions from a topological space to another.

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

* " Assume the same about all people on whom I report.

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 for all n,.