Assume that we are given some integers, such as

Assume that the pool is large enough that we don't need to consider reflections from the sides or the ends.

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

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 we want to find a function ƒ on R < sup > m </ sup > which satisfies a partial differential equation of degree k, in co-ordinates.

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 we have a particle of radius and density moving with a parcel of fluid of viscosity and density.

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 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.

Assume we have a postfix stack based programming language, like PostScript.

Assume that we have the following data:

Assume we have an observer at radius, who is not moving with respect to the central body, that is, his four-velocity is proportional to the vector.

Assume we have already defined.

Assume for simplicity that we are considering a single binary character ( it can either be + or -).

Assume that we are given noisy observation of a piecewise constant signal

Assume, without loss of generality, that the child we are about to go to is the leftmost.

Assume once again we have a Z < sub > 2 </ sub > conserved parity operator K < sub > χ </ sub > acting upon χ alone.

Assume that we want to estimate an unobserved population parameter on the basis of observations.

Assume differentiability and that is the solution at, then we have from the multivariate chain rule:

Assume we have 10 photoreceptors, one hyperpolarizing ( H ) bipolar cell, and one horizontal cell.

Assume that we have a pendulum whose bob has mass and

Assume we have a closed reactor in which the following liquid phase reversible reaction occurs:

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

Assume an example of an account number " 7992739871 " that will have a check digit added, making it of the form 7992739871x:

Assume the first locus has alleles A or T and the second locus G or C. Both loci, then, have three possible genotypes ( AA, AT, and TT and GG, GC, and CC respectively ).

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

( Assume you are fairly ignorant about martial arts and would have great difficulty making a choice of who to bet on.

Assume the bodies in the mechanism are rigid and the joints are ideal so that the only change in virtual work is associated with the movement of the input and output forces and torques.

Assume T and S are formal theories.

Assume T and S are formal theories.

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

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 is an odd integer with and suppose and for.

Assume is an even integer with and, for.

: Assume a station ( e. g., a server ) with an interface ( 10. 0. 0. 2 ) connected to a network ( 10. 0. 0. 0 / 24 ).

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 that an old derailleur chain is to be replaced with a new chain containing a suitable fast release link, supplied with it.

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

Assume X is a Kähler manifold, so that there is a decomposition on its cohomology with complex coefficients:

* ( Alternatively: Assume close position with partner and polka until bridge ends.

Assume the observer and the source are moving away from each other with a relative velocity ( is negative if the observer and the source are moving toward each other ).

Assume that 5 feature points are found in the model image with the coordinates, see the picture.

Assume the existence of an economy with two agents, Octavio and Abby, who consume two goods X and Y of which there are fixed supplies, as illustrated in the above Edgeworth box diagram.

Assume are jointly multivariate zero mean normal vectors with covariances and is a compressed version of which must maintain a given value of mutual information with.

Assume further that each eigenvalue x in this range is associated with a unique eigenstate.

Assume that is a twice differentiable function on with the unique point such that.

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.