Consider a rectilinear lens in a camera used to photograph an object at a distance, and forming an image that just barely fits in the dimension,, of the frame ( the film or image sensor ).

Consider a point in time at which electrons have just collided with electrode A at position d / 2.

Consider, for example, the behavior of water ( the molecule H < sub > 2 </ sub > O ) which, depending on temperature and pressure, naturally exists in just one of three states: gas, liquid or ice.

Consider a dc bias V < sub > B </ sub >, just short of that required to cause breakdown, applied to the diode.

Consider Her Ways is more than just an original science fiction story.

Consider entrepreneurship as a factor of production, leaving debate aside.

Consider also the case of a vessel leaving a star system, or heading to the outer planets.

Consider the comparison to its RCOOH acid analogue: the chloride ion is an excellent leaving group while the hydroxide is not under normal conditions ; i. e. even weak nucleophiles attack the carbonyl.

Consider a tree that potentially contains a path of infinite length: if a depth-first search is performed in this environment, the search may move down an infinite path and never return, potentially leaving part of the tree unexplored.

Consider the difference that arises in selecting the lumped element view of a circuit rather than the electrodynamic view of the same device.

Consider an open subset U of the complex plane C. Let a be an element of U, and f: U

Consider the point 1 ∈ R < sup >+</ sup >, and x ∈ R an element of the tangent space at 1.

Consider the case where ( that is, the jth element is one and all others zero ).

Consider a Lie algebra g over a field K. Every element x of g defines the adjoint endomorphism ad ( x ) ( also written as ad < sub > x </ sub >) of g with the help of the Lie bracket, as

Consider a basis element of C < sub > k </ sub >, a k-simplex,

Consider the matrix A = A ( G ) whose matrix elements are where is the kth element of G.

Consider a group G and subgroups H and K, with K contained in H. Then the left cosets of H in G are each the union of left cosets of K. Not only that, but translation ( on one side ) by any element g of G respects this decomposition.

Consider, for example, a two element array spaced apart by one-half the wavelength of an incoming RF wave.

Consider an element,, let denote the cardinality of, =.

Consider the closed intervals for all integers k ; there are countably many such intervals, each has measure 1, and their union is the entire real line.

Consider the ( possibly proper ) class B defined such for every set y, y is in B if and only if there is an x in A with F < sub > P </ sub >( x ) = y.

Consider further that there is an adversary called Eve that can observe these encryptions and is able to forward plaintext messages to Alice for encryption ( in other words, Eve is capable of a chosen-plaintext attack ).

* Consider amiodarone for ventricular fibrillation / pulseless ventricular tachycardia after 3 attempts at defibrillation, as there is evidence it improves response in refractory VF / VT.

However in his notebook for 1868 ( known as the ' Brown Book ') there appear the ominous words " Consider Judentum.

Consider a periodic group G with the additional property that there exists a single integer n such that for all g in G, g < sup > n </ sup >

Consider a game of dice throwing in which there are

Pope Pelagius II ( 578-590 ): " Consider the fact that whoever has not been in the peace and unity of the Church cannot have the Lord … Although given over to flames and fires, they burn, or, thrown to wild beasts, they lay down their lives, there will not be ( for them ) that crown of faith but the punishment of faithlessness … Such a one can be slain, he cannot be crowned … slain outside the Church, he cannot attain the rewards of the Church " ( Denzinger, 469 ).

Consider all the unordered sets of k points from the n points, of which there are:

Consider a homogeneous superconductor where there is no superconducting current and the equation for ψ simplifies to:

Consider a 1D situation where there is a jump in the scalar conserved physical quantity, which is governed by the hyperbolic conservation law

Writing in 1960, he begins: " Consider a very long sequence of symbols ... We shall consider such a sequence of symbols to be ' simple ' and have a high a priori probability, if there exists a very brief description of this sequence-using, of course, some sort of stipulated description method.

Consider there is a task L, with low priority.

Consider an election in which there are 4 candidates A, B, C and D, each voter expresses a top-to-bottom ordering of the candidates, and the voters ' orderings are as follows:

Consider for example when a military is organising a secret attack against another nation: it may suffice to alert the other nation for them to know merely that there is a lot of secret activity going on.

Consider a complex, real-world problem, like those of marketing or making policies for a nation, where there are many governing factors, and most of them cannot be expressed as numerical time series data, as one would like to have for building mathematical models.

In the case that T acts on euclidean space R < sup > n </ sup >, there is a simple geometric interpretation for the singular values: Consider the image by T of the unit sphere ; this is an ellipsoid, and its semi-axes are the singular values of T ( the figure provides an example in R < sup > 2 </ sup >).

Consider the circuit minimization problem: given a circuit A computing a Boolean function f and a number n, determine if there is a circuit with at most n gates that computes the same function f. An alternating Turing machine, with one alternation, starting in an existential state, can solve this problem in polynomial time ( by guessing a circuit B with at most n gates, then switching to a universal state, guessing an input, and checking that the output of B on that input matches the output of A on that input ).

Consider the tensor product of modules H < sub > i </ sub >( X, Z ) ⊗ A. The theorem states that there is an injective group homomorphism ι from this group to H < sub > i </ sub >( X, A ), which has cokernel Tor ( H < sub > i-1 </ sub >( X, Z ), A ).

Consider a person standing in the rain on a day when there is no wind.

Consider the scenario in finance where there is a need to understand historic price volatility to determine statistical thresholds of future price movements.

Consider a bug that is moving through a volume where there is some scalar,

Consider a simple case, there is a tradable good ( shoes ) that uses one tradable input to produce ( leather ).

Consider a bathtub in which there is some bathing salt dissolved.