# Assume the first item is largest.

This result extends to complex s. Assume first and.

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

Assume first that f has a compact support on and that f is continuously differentiable.

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

Assume that a task has two independent parts, A and B.

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 a random variate has a distribution f ( x ).

Assume that Carol's key has been revoked ( e. g. by exceeding its expiration date, or because of a compromise of Carol's matching private key ).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 that the principal authorized to revoke a key has decided that a certain key must be revoked.

: Step 6: Assume the hearer has the ability to perform the act the speaker suggests.

Assume that the ring R has characteristic 0.

Assume that the set O has at least one element.

The concept appears in Wikipedia's principle of " Assume good faith " ( AGF ), which has been a stated guideline since 2005 .< ref >" Wikipedia: Assume good faith.

Assume that a task has two independent parts, A and B.

Assume a man has the name of Saleh ibn Tariq ibn Khalid al-Fulan.

Assume now that C is a general category but that C has products.

Assume a rational function R ( x ) = ƒ ( x )/ g ( x ) in one indeterminate x has a denominator that factors as

# Assume that person X has free will ( assumption ).

Assume that c has the initial value zero.

Assume that the attack has to be mounted on a block cipher, where the encryption and decryption is defined as before:

Proof: Assume that a signal f ( t ) which has finite support in both domains exists.

Assume that every vertex has an associated cost of.

Assume that the asymptotic behavior has the form

Assume that the function ƒ ( x ) has a unique global maximum at x < sub > 0 </ sub >.

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

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.

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 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 T and S are formal theories.

Assume T and S are formal theories.

: 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 >.

Theorem: Assume T is a bounded linear operator from to and at the same time from to.

Assume that initially the table is empty with size ( T )

Assume heat transfer is occurring in a heat exchanger along an axis z, from generic coordinate A to B, between two fluids, identified as 1 and 2, whose temperatures along z are T < sub > 1 </ sub >( z ) and T < sub > 2 </ sub >( z ).

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.

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.

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 a group G is a group extension given as a short exact sequence of groups

Assume G is some graph and is some path of length n on G. In other words, are vertices of G such that and are neighbors.

Assume D is some simply connected domain in the plane and x is a point in D. Take the graph G to be

: Wernicke's Theorem: Assume G is planar, nonempty, has no faces bounded by two edges, and has minimum degree 5.