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

Consider, for example, the implication this has for plane rotations.

Consider an open subset U of the complex plane C. Let a be an element of U, and f: U

Consider the special case in which the axis of rotation lies in the xy plane.

Consider two points A and B in two dimensional plane flow.

Consider two dimensional plane flow within a Cartesian coordinate system.

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

Consider now the Minkowski plane: R < sup > 2 </ sup > equipped with the metric

Consider the ( Euclidean ) complex plane equipped with the metric

* Consider a uniform layer of fluid over an infinite horizontal plane.

Consider a " small " light source located on-axis in the object plane of the lens.

Consider a plane with a compact arrangement of spheres on it.

Consider a pair of parallel lines in an affine plane A.

Consider the example of moving along a curve γ ( t ) in the Euclidean plane.

Consider a planar projection of each knot and suppose these projections are disjoint. Find a rectangle in the plane where one pair of sides are arcs along each knot but is otherwise disjoint from the knots.

Consider a point in a continuum under a state of plane stress, or plane strain, with stress components and all other stress components equal to zero ( Figure 7. 1, Figure 8. 1 ).

Consider a set of points R ( R is a vector depicting a point in a Bravais lattice ) constituting a Bravais lattice, and a plane wave defined by:

Consider the illustration, depicting a plane intersecting a cone to form an ellipse ( the interior of the ellipse is colored light blue ).

Consider two proof masses vibrating in plane ( as in the MEMS gyro ) at frequency.

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 a triangle in the plane with unequal sides.

Consider an inertial observer in Minkowski spacetime who encounters a sandwich plane wave.

Consider a plane wave where all perturbed quantities vary as exp ( i ( kx-ωt )).

The first of these three identities says that the 0 form a representation of the ordinary Lie algebra spanned by E ( Consider the 0 as vectors on which the E act.

Consider the linear subspace of the n-dimensional Euclidean space R < sup > n </ sup > that is spanned by a collection of linearly independent vectors

From the Szemerédi – Trotter theorem, the number of such lines is, as follows: Consider the set P of n points, and the set L of all those lines spanned by pairs of points of P that contain at least points of P. Note that, since no two points can lie on two distinct lines.

Consider a shear field with a height of H and a cross-sectional area of A opposed by a manometer with a height of H ( referred to the same base as H ) and a cross-sectional area of A.

Consider on K the metric induced by the uniform distance.

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 Phlebas, a novel by Iain M Banks, contains depictions of a tribe known as the Eaters, who repeatedly engage in coprophagia.

Consider for instance the sequence defined by and.

Consider, friend, as you pass by: As you are now, so once was I.

Consider a rectangular area a by b, and any common divisor c that divides both a and b exactly.

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 a state of the system, described by the single particle states ..., n < sub > N </ sub >.

Consider a binary electrolyte AB which dissociates into A + and B-ions and the equilibrium state is represented by the equation:

Consider, for example, the claim that the extinction of the dinosaurs was probably caused by a large meteorite hitting the earth.

Consider two ISPs, A and B, which each have a presence in New York, connected by a fast link with latency 5 ms ; and which each have a presence in London connected by a 5 ms link.

* 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.

Consider three things being pulled by the moon: the oceans nearest the moon, the solid earth, and the oceans farthest from the moon.

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 first claim, that God is a spirit, by itself.

Consider the following URL as it would be requested by a client:

Consider the algorithm described by the pseudocode:

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 " Oh that I had a Thousand Voices " (" O daß ich tausend Zungen hätte ") by German, Johann Mentzer Verse 2: " Ye forest leaves so green and tender, that dance for joy in summer air …" or " O Day Full of Grace " (" Den signede Dag ") by Dane, Nikolai Grundtvig verse 3: " Yea were every tree endowed with speech and every leaflet singing …".

Consider a sample space generated by two random variables and.