* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.

* Consider the modulo 2 equivalence relation on the set of integers: if and only if their difference is an even number.

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

Consider the number N ( r ) of balls of radius at most r required to cover X completely.

Consider the number

Consider an experiment that can produce a number of results.

Consider an experiment that can produce a number of outcomes.

Consider a typical rational number 415 / 93, which is around 4. 4624.

Consider the behaviour of a belief distribution as it is updated a large number of times with independent and identically distributed trials.

During the time of Consider Phlebas, Minds were estimated to number in the several hundreds of thousands.

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:

Consider a formula that states that some natural number multiplied by itself is 25.

Consider a number n > 0 in base b ≥ 2, where it is written in standard notation with k + 1 digits a < sub > i </ sub > as:

Consider the decimal number

Consider a random walk on the number line where, at each step, the position ( call it x ) may change by + 1 ( to the right ) or-1 ( to the left ) with probabilities:

On August 18 the label released the album's second single, " Consider Me Gone ", and it debuted at number 51 on The Hot Country Single's Chart.

Consider a number divided into one, like 1 / 3 or 1 / 7.

Consider the number.

Consider a raffle where a single ticket wins a prize of all entry fees: if the prize is $ 1, the entry fee will be 1 / number of tickets.

Consider n = 40: the human species is more than 40 generations old, yet the number 2 < sup > 40 </ sup >, approximately 10 < sup > 12 </ sup > or one trillion, dwarfs the number of humans that have ever lived.

Consider a ( hyper ) elliptic curve over a finite field where is the power of a prime number.

Consider a hyperelliptic curve of genus over the field where is the power of a prime number and define as but now over the field.

Consider a country whose economy is characterized by a large number of sectors which are so small that any increase in the productivity of one sector has no impact on the economy as a whole.

Consider it as a standby setup, at negligible cost, for those emergencies when the furnace quits, a blizzard holds up fuel delivery, or for cool summer mornings or evenings when you don't want to start up your whole heating plant.

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 now the force exerted at a certain time.

Here is an everyday experience of the basic nature of the Descartes experiment: Consider sitting in your train and noticing a train originally at rest beside you in the railway station pulling away.

Consider a car's cruise control, which is a device designed to maintain vehicle speed at a constant desired or reference speed provided by the driver.

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

Consider a beam, fixed at one end and having a mass attached to the other ; this would be a single degree of freedom ( SDoF ) oscillator.

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 staff at the London and New York airports.

Consider, for example, a reference frame moving relative to another at velocity in the direction.

#: Consider a unit sphere placed at the origin, a rotation around the x, y or z axis will map the sphere onto itself, indeed any rotation about a line through the origin can be expressed as a combination of rotations around the three-coordinate axis, see Euler angles.

Consider the difference between singing “ oooh ” and “ aaah ”, at the same pitch.

Consider, for example, that when the bride says " I do " at the appropriate time in a wedding, she is performing the act of taking this man to be her lawful wedded husband.

Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:

Consider the system at the point it has reached equilibrium.

Consider a space ship traveling from Earth to the nearest star system outside of our solar system: a distance years away, at a speed ( i. e., 80 percent of the speed of light ).

Consider the time series of an independent variable and a dependent variable, with observations sampled at discrete times.

Consider the 1592 season of Lord Strange's Men at the Rose Theatre as far more representative: between Feb. 19 and June 23 the company played six days a week, minus Good Friday and two other days.

Consider an application requiring four terminals at an airport to reach a central computer.

Consider the chess position shown at right.

Consider code that adds two numbers and then multiplies by a third ; in the Cray, these would all be fetched at once, and both added and multiplied in a single operation.

Consider the approach we would take classically-we pick one block at random, and then perform a normal search through the rest of the blocks ( in set theory language, the compliment ).

Consider a volume of air, with horizontal area and height equal to the mean free path, at pressure and temperature.