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 a set of n points in a compact area with approximate diameter d and area approximately d².

Consider a valid line to be one where every point is within distance w / 2 of the line ( that is, lies on a track of width w, where w << d ).

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

Consider again the illustration to the right, where it is known that c, e, b + d, and the triangle area A are integers.

Consider a general decision situation having n decisions ( d < sub > 1 </ sub >, d < sub > 2 </ sub >, d < sub > 3 </ sub >, ..., d < sub > n </ sub >) and m uncertainties ( u < sub > 1 </ sub >, u < sub > 2 </ sub >, u < sub > 3 </ sub >, ..., u < sub > m </ sub >).

Consider a simple non-hierarchical Bayesian model consisting of a set of i. i. d.

Consider any set of d + 2 points in d-dimensional space.

Consider estimation of based on data i. i. d.

Consider quantum chromodynamics ( QCD ) with two massless quarks u and d. The Lagrangian is

Consider a point J on the radical axis, and let its distances to B and V be denoted as d < sub > 1 </ sub > and d < sub > 2 </ sub >, respectively.

Consider the following reactions of acetic acid ( CH < sub > 3 </ sub > COOH ), the organic acid that gives vinegar its characteristic taste:

Consider the example ∇ < big >×</ big > < big >×</ big > F.

Consider the example of a coffee cup and a donut ( see < span class =" plainlinks "> this example </ span >).

Consider two systems ; S < sub > 1 </ sub > and S < sub > 2 </ sub > at the same temperature and capable of exchanging particles.

Consider a pseudo random number generator ( PRNG ) function P ( key ) that is uniform on the interval 2 < sup > b </ sup > − 1.

Geometric arrangement for Fresnel's calculation Consider the case of a point source located at a point P < sub > 0 </ sub >, vibrating at a frequency f. The disturbance may be described by a complex variable U < sub > 0 </ sub > known as the complex amplitude.

Consider the logarithm function: For any fixed base b, the logarithm function log < sub > b </ sub > maps from the positive real numbers R < sup >+</ sup > onto the real numbers R ; formally:

< li > Consider the group ( Z < sub > 6 </ sub >, +), the integers from 0 to 5 with addition modulo 6.

Consider a state of the system, described by the single particle states ..., n < sub > N </ sub >.

Consider the context of evaluating each one of a class of events A < sub > 1 </ sub >, A < sub > 2 </ sub >, A < sub > 3 </ sub >,..., A < sub > n </ sub > ( for example, is the occurrence of the event harmful or not ?).

< p > Consider an interesting and revealing incident that occurred during the Quasi War.

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, for example, the difference between strong and weak convergence of functions in the Hilbert space L < sup > 2 </ sup >( R < sup > n </ sup >).

Consider that 700 < 738, yet 700²

Consider an elastic collision in 2 dimensions of any 2 masses m < sub > 1 </ sub > and m < sub > 2 </ sub >, with respective initial velocities u < sub > 1 </ sub > and u < sub > 2 </ sub >

Consider the vectors ( functions ) f and g defined by f ( t ) := e < sup > it </ sup > and g ( t ) := e < sup >− it </ sup >.

Consider the vectors ( polynomials ) p < sub > 1 </ sub > := 1, p < sub > 2 </ sub > := x + 1, and p < sub > 3 </ sub > := x < sup > 2 </ sup > + x + 1.

Consider for example 2x < sup > 2 </ sup > − 5x + 2

We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:

* Chapter 7 divides humility into twelve degrees, or steps in the ladder that leads to heaven :( 1 ) Fear God ; ( 2 ) Substitute one's will to the will of God ; ( 3 ) Be obedient to one's superior ; ( 4 ) Be patient amid hardships ; ( 5 ) Confess one's sins ; ( 6 ) Accept oneself as a " worthless workman "; ( 7 ) Consider oneself " inferior to all "; ( 8 ) Follow examples set by superiors ; ( 9 ) Do not speak until spoken to ; ( 10 ) Do not laugh ; ( 11 ) Speak simply and modestly ; and ( 12 ) Be humble in bodily posture.

Consider a 10 year mortgage where the principal amount P is $ 200, 000 and the annual interest rate is 6 %.

Consider the program below, which reads in a value and fails if the input is 6.

Consider the polynomial x < sup > 5 </ sup > − 3x < sup > 4 </ sup > + 3x < sup > 3 </ sup > − 9x < sup > 2 </ sup > + 2x − 6.

Consider the roll of a and let if the number is even ( i. e. ; 2, 4, or 6 ) and otherwise.

Consider the following ring environment ( for example, running at OC-48c Gbit / s ) with 6 routers ( A through F sequentially ) on it.

Consider a mixture of one mole of ethane ( C < sub > 2 </ sub > H < sub > 6 </ sub >) and one mole of oxygen ( O < sub > 2 </ sub >).

Consider her ways and be wise, which having no captain, overseer or ruler, provides her supplies in the summer, and gathers her food in the harvest " ( 6. 6-9 ).

* Consider a 60 ° ( 360 °/ 6 ) rotation matrix with respect to the oblique lattice basis for a tiling by equilateral triangles.

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 the vectors e < sub > 1 </ sub > = ( 1, 0, 0 ), e < sub > 2 </ sub > = ( 0, 1, 0 ) and e < sub > 3 </ sub > = ( 0, 0, 1 ).