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Assume the Earth is in L, at the second quadrature with Jupiter ( i. e. ALB is 90 °), and Io emerges from D. After several orbits of Io, at 42. 5 hours per orbit, the Earth is in K. Rømer reasoned that if light is not propagated instantaneously, the additional time it takes to reach K, that he reckoned about 3½ minutes, would explain the observed delay.
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Assume and is
# 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 and L
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.
: 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 >.
Assume that P is the origin in A < sup > 2 </ sup > ⊆ P < sup > 2 </ sup >, and write L for the line at infinity.
Assume four candidates A, B, C and L with 3 voters with the following preferences:
Assume and at
Assume that by a uniform pricing system the monopolist would sell five units at a price of $ 10 per unit.
Assume that Japan wants to protect a domestic industry that is only able to produce and sell widgets at the price P < sub > tariff </ sub >.
Assume also that Americans benefit from immigration ( at least in small amounts ) because they get cheap labor, etc.
Assume that the content of the memory is a 1, stored at Q.
Assume that the set O has at least one element.
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 one is looking straight out of the train car's window at the adjacent track.
Assume customers arrive at the rate of 10 per hour and stay an average of 0. 5 hour.
Assume we notice that there are on average 2 customers in the queue and at the counter.
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 ( 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 that the time to maturity is, and that we will price the option at time < math > t < T </ math >, although the life of the option started at time zero.
Assume that is located at address 0x8130 in memory and at 0x8134 ; also assume this is a 32-bit machine such that an int is 32-bits wide.
Assume furthermore that f is flat at x in X.
* Assume f is flat at x in X.
* " Assume there is at least one other side or version to every story.
Assume that the function ƒ ( x ) has a unique global maximum at x < sub > 0 </ sub >.
Theorem ( Dini's test ): Assume a function f satisfies at a point t that
0.104 seconds.