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

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.

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 that p − 1, where p is the smallest prime factor of n, can be modelled as a random number of size less than √ n.

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.

Assume two biased coins, the first with probability p of turning up heads and the second with probability q > p of turning up heads.

: Theorem: Assume T is a bounded linear operator from L < sup > p </ sup > to L < sup > p </ sup > and at the same time from L < sup > q </ sup > to L < sup > q </ sup >.

< li > Assume the same or a new state as prescribed ( go to state q < sub > i1 </ sub >).</ li >

Assume that the discriminant q = b < sup > 2 </ sup > − 4ac is positive.

Assume that b too is horizontal, corresponding to the angle b. There will be second great circle drawn on the same sphere, to one side of which we have + 1, the other − 1 for particle B.

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 an Ethernet broadcast domain ( e. g., a group of stations connected to the same hub ) using a certain IPv4 address range ( e. g., 192. 168. 0. 0 / 24, where 192. 168. 0. 1 – 192. 168. 0. 127 are assigned to wired nodes ).

Assume that the content of the memory is a 1, stored at Q.

Assume also that the phase can be measured with an accuracy of 1 deg, i. e. means that the range can be determined with a precision of ( 600000 * 1 * Pi )/( 2 * 8000 * 180 )= 0. 33 km.

Assume a remote host with public IP address 1. 2. 3. 4 wishes to connect to a server found inside a company network.

Assume a current I = 3 amperes, and a wire of 1 mm diameter ( radius in meters

* Assume the sale price is $ 1. 99 and the cost is $ 1. 40

Assume that Version 1 of a word processor only allows text, and no graphics.

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

Assume that the th sector, in order to produce 1 unit, must use units from sector.

Assume Tom conceives of a new mousetrap on January 1, 2006.

Assume f < sub > N </ sub > has its support in the " time-ordered " subset of N points with 0 < τ < sub > 1 </ sub > < ... < τ < sub > N </ sub >.

Assume that < tt > do_something_A </ tt > takes 100 μs to run, and < tt > do_something_B </ tt > takes 1 μs.

Assume that 0 = 1, and proceed by mathematical induction: 0 = 0 by the axiom of equality.

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 we are given some integers, such as

Assume parts of a maximally entangled Bell state are distributed to Alice and Bob.

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

Assume the wire costs are the same by weight.

Assume now that a and b are not necessarily equal vectors, but that they may have different magnitudes and directions.

Assume that the limit superior and limit inferior are real numbers ( so, not infinite ).

** Assume that there are two consumption bundles A and B each containing two commodities x and y.

Assume a uniform prior of, and that trials are independent and identically distributed.

Assume that the channel from A to B is initialized and that there are no messages in transit.

Assume there are no external costs, so that social cost equals individual cost.

Assume a hand is dealt and that spades are named as trump.

Assume two matrices are to be multiplied ( the generalization to any number is discussed below ).

Assume without loss of generality that A and B are disjoint.

Assume we notice that there are on average 2 customers in the queue and at the counter.

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 hunters ’ economy with free land, no slavery and no significant current production of tools, where beavers and deer are hunted.

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 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.