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Consider a quantum ensemble of size N with occupancy numbers n < sub > 1 </ sub >, n < sub > 2 </ sub >,..., n < sub > k </ sub > corresponding to the orthonormal states, respectively, where n < sub > 1 </ sub >+...+ n < sub > k </ sub >
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Consider and quantum
Consider the EPR thought experiment, and suppose quantum states could be cloned.
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Consider a quantum mechanical system whose state space is the tensor product of Hilbert spaces.
Consider a quantum mechanical particle confined to a closed loop ( i. e., a periodic line of period L ).
Consider quantum channels that transmit only quantum information.
Consider a composite quantum system with state space For a state
Consider the case of a purely quantum channel Ψ in the Heisenberg picture.
Consider quantum chromodynamics ( QCD ) with two massless quarks u and d. The Lagrangian is
Consider and ensemble
Consider an ensemble of systems described by a Hamiltonian H with average energy E. If H has pure-point spectrum and the eigenvalues of H go to + ∞ sufficiently fast, e < sup >- r H </ sup > will be a non-negative trace-class operator for every positive r.
Consider and size
Consider an MDCT with 2N inputs and N outputs, where we divide the inputs into four blocks ( a, b, c, d ) each of size N / 2.
Consider an ELF executable file of size 10K.
Consider also a goods allocation that is vector-valued and size ( which permits number of goods ) and assume it is piecewise continuous with respect to its arguments.
Consider the antlers of the Irish elk, ( often supposed to be far too large ; in deer antler size has an allometric relationship to body size ).
Consider each point to be a cluster of size 1.
Consider a n < font face =" Arial " size =" 2 "> x </ font > n matrix A.
Consider and N
Consider the unitary form defined above for the DFT of length N, where
Consider the number N ( r ) of balls of radius at most r required to cover X completely.
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Consider a jar containing N lottery tickets numbered from 1 through N. If you pick a ticket randomly then you get positive integer n, with probability 1 / N if n ≤ N and with probability zero if n > N. This can be written
Consider an unsorted database with N entries.
If S is compact but not closed, then it has an accumulation point a not in S. Consider a collection consisting of an open neighborhood N ( x ) for each x ∈ S, chosen small enough to not intersect some neighborhood V < sub > x </ sub > of a.
Consider a rigid regular, crystalline, i. e. not amorphous, lattice composed of N particles.
Consider a system of N qubits that is coupled to a bath symmetrically.
Consider a graph G with vertices V, each numbered 1 through N. Further consider a function shortestPath ( i, j, k ) that returns the shortest possible path from i to j using vertices only from the set
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Consider N systems in adiabatic isolation from the rest of the universe, i. e. no heat exchange is possible outside of these N systems, all of which have a constant volume and composition, and which can only exchange heat with one another.
Consider a sphere B < sub > 2 </ sub > of radius 2 centered at N. The inversion with respect to B < sub > 2 </ sub > transforms B into its stereographic projection P.
Consider a linear polymer to be a freely-jointed chain with N subunits, each of length, that occupy zero volume, so that no part of the chain excludes another from any location.
# Quadratic residue code: Consider the set N of quadratic non-residues ( mod 23 ).
Consider the translates t + N of this subset.
Consider the special case N = 1.
Consider an integer N and a non-negative monotone decreasing function f defined on the unbounded interval < nowiki >
Consider and with
Consider adopting a system of holidays in which time off is granted with an eye to minimum inconvenience to the operation of the plant.
Consider a shear field with a height of H and a cross-sectional area of A opposed by a manometer with a height of H ( referred to the same base as H ) and a cross-sectional area of A.
Consider the assembly of a car: assume that certain steps in the assembly line are to install the engine, install the hood, and install the wheels ( in that order, with arbitrary interstitial steps ); only one of these steps can be done at a time.
* Consider a set with three elements, A, B, and C. The following operation:
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Consider a complete orthonormal system ( basis ),, for a Hilbert space H, with respect to the norm from an inner product.
Consider the real line with its ordinary topology.
( Consider 1 / 0, which is defined with the value of infinity, vs. 0 / 0, which is undefined.
Consider a physical system that acts as a linear filter, such as a system of springs and masses, or an analog electronic circuit that includes capacitors and / or inductors ( along with other linear components such as resistors and amplifiers ).
Fundamental group: Consider the category of pointed topological spaces, i. e. topological spaces with distinguished points.
Consider a collection of particles performing a random walk in one dimension with length scale and time scale.
< li > Consider the group ( Z < sub > 6 </ sub >, +), the integers from 0 to 5 with addition modulo 6.
* The Infinite Moment ( 1961 ) ( US edition of Consider Her Ways, with two stories dropped, two others added )
Consider the following example ( in Kwakw ' ala, sentences begin with what corresponds to an English verb ):
Consider a test apparatus consisting of a closed and well insulated cylinder equipped with a piston.
Consider two noninteracting systems and, with respective Hilbert spaces and.
Consider as above systems and each with a Hilbert space,.
Consider two ISPs, A and B, which each have a presence in New York, connected by a fast link with latency 5 ms ; and which each have a presence in London connected by a 5 ms link.
Consider the following: if the typical user is searching with term " A ", would they also want resources tagged with term " B "?
Again we start with a C < sup >∞</ sup > manifold, M, and a point, x, in M. Consider the ideal, I, in C < sup >∞</ sup >( M ) consisting of all functions, ƒ, such that ƒ ( x ) = 0.
Consider a linear differential equation with constant coefficients
Consider the time series of an independent variable and a dependent variable, with observations sampled at discrete times.
0.244 seconds.