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 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 for instance the open unit disc, a non-compact Riemann surface without boundary, with curvature 0 and with Euler characteristic 1: the Gauss – Bonnet formula does not work.

Consider the unit circle.

Consider a curve lying on a submanifold in ambient manifold, parametrized by arclength, with unit tangent vector.

Consider the unit circle which is described by the ordinary ( Cartesian ) equation

Consider an FCC compound unit cell.

In the case that T acts on euclidean space R < sup > n </ sup >, there is a simple geometric interpretation for the singular values: Consider the image by T of the unit sphere ; this is an ellipsoid, and its semi-axes are the singular values of T ( the figure provides an example in R < sup > 2 </ sup >).

Consider the set F of all those holomorphic functions f on the unit disk for which

Consider the simplified case of a vehicle with constant mass accelerating vertically upwards with a constant thrust per unit mass a in a gravitational field of strength g. The actual acceleration of the craft is a-g and it is using delta-v at a rate of a per unit time.

Consider region D in the plane: a unit circle or general polygon — the asymptotics of the problem, which are the interesting aspect, aren't dependent on the exact shape.

Consider eight cubical boxes of unit volume and unit area of a side.

Consider a unit circle in, shrinking in on itself at a constant rate, i. e. each point on the boundary of the circle moves along its inwards pointing normal at some fixed speed.

Consider a trader who has bought a unit portfolio consisting of one contract each for the Red Party, the Blue Party, and the Green Party, at a cost of $ 1.

Consider, for instance, the top half of the unit circle, x < sup > 2 </ sup > + y < sup > 2 </ sup > = 1, where the y-coordinate is positive ( indicated by the yellow arc in Figure 1 ).

Consider the timelike congruence generated by some timelike unit vector field X, which we should think of as a first order linear partial differential operator.

Consider how the vertical and horizontal displacements of the dot, relative to the center of the circle, vary sinusoidally in time and are out of phase by one quarter of a cycle.

Consider a body of one kilogram, moving in a circle of radius one metre, with an angular velocity of one radian per second.

The Bertrand paradox goes as follows: Consider an equilateral triangle inscribed in a circle.

Consider for example the equation of a circle:

Consider a fixed circle of radius centered at the origin.

Consider a solution circle of radius r < sub > s </ sub > and three given circles of radii r < sub > 1 </ sub >, r < sub > 2 </ sub > and r < sub > 3 </ sub >.

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

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.

That means that some member of P ( S ), i. e., some subset of S, is not in the image of f. Consider the set:

Consider S ( n ):

Consider Phlebas is Banks's first published science fiction novel set in the Culture, and takes its title from a line in T. S. Eliot's poem The Waste Land.

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.

Both titles are derived from a couplet in T. S. Eliot's poem, The Waste Land ( which appears both in this work and Consider Phlebas as an epigraph ):

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

Example 1: Consider S =

Consider a call option and a put option with the same strike K for expiry at the same date T on some stock S, which pays no dividend.

Consider two inertial frames S and S '.

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

Consider a sphere B of radius 1 and a plane P touching B at the South Pole S of B.

Consider the projection π: S < sup > 1 </ sup > → S < sup > 1 </ sup > given by z ↦ z < sup > 2 </ sup >.

Consider a smooth surface S in 3-dimensional Euclidean space R < sup > 3 </ sup >.

The Veterans Committee is the popular name of the National Baseball Hall of Fame Committee to Consider Managers, Umpires, Executives and Long-Retired Players, a committee of the U. S. Baseball Hall of Fame that provides an opportunity for Hall of Fame election to all individuals who are eligible for induction but ineligible for consideration by the Baseball Writers Association of America.

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 sets R and S