Suppose that one particle is in the state n < sub > 1 </ sub >, and another is in the state n < sub > 2 </ sub >.

Suppose a particle has position in a stationary frame of reference.

Suppose a particle starts at point A, and there is a force F acting on it.

Suppose that a particle moves along the curve with unit speed.

Suppose now that instead of one particle in this box we have N particles in the box and that these particles are fermions with spin 1 / 2.

Suppose some particle has a mass m which is 3. 4 times the mass of electron.

Suppose we have an electron with energy above the Fermi surface, and suppose it scatters with a particle in the Fermi sea with energy.

Suppose a wavefunction is a solution of the wave equation, giving a description of the particle ( position, for time ).

Suppose a particle moves at a uniform rate along a line from A to B ( Figure 2 ) in a given time ( say, one second ), while in the same time, the line AB moves uniformly from its position at AB to a position at DC, remaining parallel to its original orientation throughout.

Suppose two forces act on a particle at the origin ( the " tails " of the vectors ) of Figure 1.

Suppose each set of quantum numbers specify states where is the number of internal degrees of freedom of the particle that can be altered by collision.

Suppose we wish to measure the position of a particle to within an accuracy Δx.

Suppose that the trajectory of the particle, which moves with the velocity, intersects at the point at time.

Suppose that there are two reference frames S and S < nowiki > '</ nowiki >, where S < nowiki > '</ nowiki > is moving relative to S. The origin of S < nowiki > '</ nowiki > moves along some curve in S, which can be traced out by some vector C which is a function of t. The Einstein force is the apparent force acting on a particle of mass m in the S < nowiki > '</ nowiki > frame, and is defined by

Suppose, says Dr. Lyttleton, the proton has a slightly greater charge than the electron ( so slight it is presently immeasurable ).

Suppose both fields have even C-parity ( even C-parity refers to even symmetry under charge conjugation ex.

Suppose we have a container with a huge number of very small particles all with exactly the same physical characteristics ( mass, charge, etc .).

Suppose, therefore, that the back disc has a small, net electrostatic charge.

Suppose the muon happens to have fallen into an orbit around a deuteron initially, which it has about a 50 % chance of doing if there are approximately equal numbers of deuterons and tritons present, forming an electrically neutral muonic deuterium atom ( d-μ )< sup > 0 </ sup > that acts somewhat like a " fat, heavy neutron " due both to its relatively small size ( again, about 207 times smaller than an electrically neutral electronic deuterium atom ( d-e )< sup > 0 </ sup >) and to the very effective " shielding " by the muon of the positive charge of the proton in the deuteron.

Suppose that there existed some process by which one could violate conservation of charge, at least temporarily, by creating a charge q at a certain point in space, 1, moving it to some other point 2, and then destroying it.

Suppose I believe that if I flap my arms with sufficient vigor, I can take off and fly about the room ; could I defend myself against the charge of irrationality by claiming this belief is basic?

Suppose that the semiconductor initially is charge neutral, with the charge due to holes exactly balanced by the negative charge due to acceptor doping impurities.

A simple explanation would be as follows: Suppose the total finance charge for a 12 month loan was $ 78. 00.

Suppose the atom experiences an external classical electric field of frequency, given by

Suppose they both had ventured into realms which their colleagues thought infidel: is this the way gentlemen settle frank differences of opinion??

Suppose that u and v are real-differentiable at a point in an open subset of, which can be considered as functions from to.

Suppose that is a complex-valued function which is differentiable as a function.

Suppose n < sub > 1 </ sub >, n < sub > 2 </ sub >, …, n < sub > k </ sub > are positive integers which are pairwise coprime.

Suppose a mass is attached to a spring which exerts an attractive force on the mass proportional to the extension / compression of the spring.

Suppose a number of scientists are assessing the probability of a certain outcome ( which we shall call ' success ') in experimental trials.

* Suppose that there is a compression algorithm that transforms every file into a distinct file which is no longer than the original file, and that at least one file will be compressed into something that is shorter than itself.

Suppose the state of a quantum system A, which we wish to copy, is ( see bra-ket notation ).

* Suppose G and H are topologically finitely-generated profinite groups which are isomorphic as discrete groups by an isomorphism ι.

Suppose that the signal to be sent ( called the modulating or message signal ) is and the carrier onto which the signal is to be modulated is

Suppose, for concreteness, that we have an algorithm for examining a program p and determining infallibly whether p is an implementation of the squaring function, which takes an integer d and returns d < sup > 2 </ sup >.

: Suppose X is a compact Hausdorff space and A is a subalgebra of C ( X, R ) which contains a non-zero constant function.

:: “ Suppose that a sheriff were faced with the choice either of framing a Negro for a rape that had aroused hostility to the Negroes ( a particular Negro generally being believed to be guilty but whom the sheriff knows not to be guilty )— and thus preventing serious anti-Negro riots which would probably lead to some loss of life and increased hatred of each other by whites and Negroes — or of hunting for the guilty person and thereby allowing the anti-Negro riots to occur, while doing the best he can to combat them.

Suppose further, because this is necessary to the alleged case for our nuclear weapon as the defence of last resort, that, as in 1940, the United States was standing aloof from the contest but that, in contrast with 1940, Britain and the Warsaw Pact respectively possessed the nuclear weaponry which they do today.

As they discussed Shelvocke's book, Wordsworth proffers the following developmental critique to Coleridge, which importantly contains a reference to tutelary spirits: " Suppose you represent him as having killed one of these birds on entering the south sea, and the tutelary spirits of these regions take upon them to avenge the crime.

Suppose I is an ideal which is not R ( respectively, A is a right ideal which is not R ).

Suppose it is also known that 75 % of women have long hair, which we denote as

Suppose P is a definable binary relation ( which may be a proper class ) such that for every set x there is a unique set y such that P ( x, y ) holds.

Suppose f were injective, which means the pieces of S cut out by the squares stack up in a non-overlapping way.

Suppose you recognize one student — call her Anna — from a prior course in which Anna either excelled or did poorly.

Suppose that C is a twice continuously differentiable immersed plane curve, which here means that there exists parametric representation of C by a pair of functions such that the first and second derivatives of x and y both exist and are continuous, and

Suppose some given data points each belong to one of two classes, and the goal is to decide which class a new data point will be in.

Suppose U is a simply connected open subset of the complex plane, and a < sub > 1 </ sub >,..., a < sub > n </ sub > are finitely many points of U and f is a function which is defined and holomorphic on U