Consider a collection of particles performing a random walk in one dimension with length scale and time scale.

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

Consider a sample space generated by two random variables and.

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 random variable X whose probability distribution belongs to a parametric family of probability distributions P < sub > θ </ sub > parametrized by θ.

A particular setting of n and p characterizes a particular probability distribution over a discrete random variable, with possible outcomes ( the support of the distribution ) ranging between 0 and n. Consider the following cases:

Consider a sphere S ( r ) with radius r. A point on the sphere is identified by its latitude φ and longitude λ, for which we introduce the random variables Φ and Λ that take values in Ω < sub > 1 </ sub > = respectively Ω < sub > 2 </ sub > =.

Consider the previous example with men's heights and suppose we have a random sample of n people.

Consider a memoryless AWGN channel, and assume that at k-th iteration, the decoder receives a pair of random variables:

Consider a probabilistic algorithm that, given a formula F ( x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub >) chooses an assignment x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub > uniformly at random.

Consider a random vector.

Consider a random variable,, that takes on values with probability.

* 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 on K the metric induced by the uniform distance.

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

Consider some set P and a binary relation ≤ on P. Then ≤ is a preorder, or quasiorder, if it is reflexive and transitive, i. e., for all a, b and c in P, we have that:

Consider that even the most rare events on Earth can happen multiple times and independent of one another.

Consider the following statement in the circumstance of sorting apples on a moving belt:

For example: Consider first a classical computer that operates on a three-bit register.

Consider the distribution on the figure.

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 a traveling transverse wave ( which may be a pulse ) on a string ( the medium ).

Consider the following operation on an arbitrary positive integer:

Consider the drug testing example in the article on Bayes ' theorem.

Argument from rarity – Consider this case: a lottery winner is accused of cheating, based on the improbability of winning.

Consider a particle P that moves on the surface of a circular cylinder, it is possible to align the Z axis of the fixed frame F with the axis of the cylinder.

Consider an attack on the ciphertext string " WNAIW " encrypted using a Vigenère cipher with a five letter key.

Consider, for instance, these remarks in the introduction to Hegel's Lectures on the Philosophy of History:

" Mother Maria Marthe ( Lilia Skala, called " Mother Maria "), responds by asking him to read another Bible verse from the Sermon on the Mount: " Consider the lilies of the field, how they grow ; they toil not, neither do they spin.

After a week on the run, he meets the Artful Dodger, who beckons Oliver to join him (" Consider Yourself ").

Consider a capacitor of capacitance C, holding a charge + q on one plate and − q on the other.

Consider a configuration in which the rapidly moving material down the chute impinges on an obstruction wall erected perpendicular at the end of a long and steep channel.

Consider an equilateral triangle with three spins, one on each vertex.

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

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 cumulative impact-minimize number of boats at any one time / per day

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.