Consider on K the metric induced by the uniform distance.

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

Consider a uniform plasma, with thermal electrons ( distributed according to the Maxwell – Boltzmann distribution with the temperature ).

Suppose S ' is in relative uniform motion to S with velocity v. Consider a point object whose position is given by r

Consider a simple gravity pendulum, whose length equals the radius of the Earth, suspended in a uniform gravitational field of the same strength as that experienced at the Earth's surface.

Consider a small object immersed in a container of fluid subject to a uniform gravitational field.

Consider an idealized rubber sheet suspended in a uniform gravitational field normal to the sheet.

Consider a cold, uniform, and unmagnetized plasma, where ions are stationary and the electrons have velocity, that is, the reference frame is moving with the ion stream.

Consider, for instance, particles suspended in a viscous fluid in a gravitational field.

Consider a fluid of electrons in a background of heavy, positively-charged ions.

Consider a cube immersed in a fluid with the upper surface horizontal.

Consider a self-gravitating, spherically symmetric fluid in hydrostatic equilibrium.

Consider a fluid of rotating black holes.

Consider the communications process over a discrete channel.

Consider the ratio of the difference of two positions of a particle divided by the time interval, which is called the average velocity over that time interval.

Consider the following commutative diagram in any abelian category ( such as the category of abelian groups or the category of vector spaces over a given field ) or in the category of groups.

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 the subset C of B, consisting of those B elements, which satisfy monic polynomial equations over A:

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 bounded linear transformation T defined everywhere over a general Banach space.

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 the set of all finite and infinite words over the alphabet

Consider as an example the videotape format war ; Two mechanisms independent of product quality could explain how VHS achieved dominance over Betamax from a negligible early adoption lead:

Consider the following problem in deterministic optimal control over the time period:

Consider a finite group permuting those indeterminates over K. By standard Galois theory, the set of fixed points of this group action is a subfield of, typically denoted.

Consider a symmetric game with a smooth payoff function defined over actions of two or more players.

Consider an example economy with the following wages over three years:

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

It was published as part of a 1961 collection with some short stories called Consider Her Ways and Others ( where it forms over a third of the book ).

Consider a typical situation: A retailer faces uncertain demand for its product from customers over time.

Consider an economic system composed of many self-interested individuals each of whom is endowed with a bundle of goods, has preferences over the available bundles and wishes to achieve a maximal satisfaction by exchanging his / her own goods with others.

Consider the functor that sends to ,-coalgebras are then finite or infinite streams over the alphabet, where is the set of states and is the state-transition function.

Consider the following expressions from first order logic over a signature containing a constant symbol 0 for the number 0, a unary function symbol s for the successor function and a binary function symbol + for addition.

Consider the argument " We ought to be altruistic because evolution has selected altruism over millions of years as a reliable guide to what is good ".

Consider the sample ( 4, 7, 13, 16 ) from an infinite population.

Consider the following test case: The field f has been on for infinite time and is switched off at t = 0

Consider an infinite cylinder whose axis lies along the vector

: Consider infinite two-person games with perfect information.

Consider an infinite parallel plate capacitor placed in space ( or in a medium ) with no free charges present except on the capacitor.

Consider now the free body diagram of a deformable body, which is composed of an infinite number of differential cubes as shown in the figure.

Let and be infinite series such that converges absolutely ( thus converges ), and without loss of generality assume that for all positive integers n. Consider the partial sums

( Consider a similar fallacious argument that the Earth's surface must be infinite in area: because otherwise one could go to the Earth's edge and throw a javelin, proving that the Earth's surface continued wherever the javelin hit the ground.

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.