Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.

* 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 a test apparatus consisting of a closed and well insulated cylinder equipped with a piston.

Consider a closed loop of string, left to move through space without external forces.

If S is compact but not closed, then it has an accumulation point a not in S. Consider a collection consisting of an open neighborhood N ( x ) for each x ∈ S, chosen small enough to not intersect some neighborhood V < sub > x </ sub > of a.

Consider the set W of all deductively closed sets of formulas, ordered by inclusion.

Consider a system S and environment ( bath ) B, which are closed and can be treated quantum mechanically.

Consider a closed system in internal equilibrium.

Consider a tube closed at both ends.

Consider a quantum mechanical particle confined to a closed loop ( i. e., a periodic line of period L ).

Consider two observers O and O ', each using their own Cartesian coordinate system to measure space and time intervals.

Consider the intervals of the major scale: tone, tone, semitone, tone, tone, tone, semitone.

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 features of Utopian communism: generous public provision for the infirm ; ;

Consider, for instance, the following equations:

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

Consider a complete orthonormal system ( basis ),, for a Hilbert space H, with respect to the norm from an inner product.

Consider for example the compound ( 3Z, 6E )- 3, 5, 7-trimethylnona-3, 6-diene.

* Consider the set K of all functions ƒ: → satisfying the Lipschitz condition | ƒ ( x ) − ƒ ( y )| ≤ | x − y | for all x, y ∈.

* Consider the importance of genetic resources for food and agriculture for food security

Consider for instance the sequence defined by and.

Consider the unitary form defined above for the DFT of length N, where

Consider the following simple grammar for arithmetic expressions :< syntaxhighlight lang =" bnf ">

Consider a project that has been planned in detail, including a time-phased spend plan for all elements of work.

Consider, for example,

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 Japan, for instance, which used to have optional jury trials for capital or other serious crimes between 1928 and 1943.

Consider for example determining which of the following are to be considered diseases ( i. e., abnormal states requiring cure ): alcoholism, homosexuality, and chronic fatigue syndrome.

Consider for example workers who take coffee beans, use a roaster to roast them, and then use a brewer to brew and dispense a fresh cup of coffee.

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 ?).

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

Consider, for example, what happens when an object in the periphery of the visual field moves, and a person looks toward it.

Consider all the functions φ: G → R such that the set

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:

* 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.

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, also, that all English speakers often pronounce ' Z ' where ' S ' is spelled, almost always when a noun ending in a voiced consonant or a liquid is pluralized, for example " seasons ", " beams ", " examples ", etc.

Consider a hypothetical hotel with countably infinitely many rooms, all of which are occupied – that is to say every room contains a guest.

Consider a series-parallel battery arrangement with all good cells, and one becomes shorted or dead:

Consider the category Grp of all groups with group homomorphisms as morphisms.

Consider the class of all regular paths from a point p to another point q.

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 as an example the interaction between a star and a distant galaxy: The error arising from combining all the stars in the distant galaxy into one point mass is negligible.

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 all the possible strings of p symbols, using an alphabet with a different symbols.

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 the theory obtained by adding a new constant symbol ε to the language and adjoining to Σ the axiom ε > 0 and the axioms ε < 1 / n for all positive integers n. Clearly, the standard real numbers R are a model for every finite subset of these axioms, because the real numbers satisfy everything in Σ and, by suitable choice of ε, can be made to satisfy any finite subset of the axioms about ε.

Consider, for example, this code segment in the Java programming language as given by ( as well as all other Java code segments ):

Consider the solid ball in R < sup > 3 </ sup > of radius π ( that is, all points of R < sup > 3 </ sup > of distance π or less from the origin ).

Consider the set of all trial probability distributions that encode the prior data.