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Page "Crystal optics" ¶ 25
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Consider and light
Consider a point, P, such that light that is initially travelling parallel to the axis of symmetry is reflected from P along a line that is perpendicular to the axis of symmetry.
Consider a light ray passing from glass into air.
Consider a space ship traveling from Earth to the nearest star system outside of our solar system: a distance years away, at a speed ( i. e., 80 percent of the speed of light ).
Consider also that viewers perceive the movement of marchers as light waves.
Consider lighta stream of discrete photons — coming out of a laser pointer and hitting a wall to create a visible spot.
Consider a pulse of light traveling in glass.
In some respects Look to Windward serves as a loose sequel to the first Culture novel, Consider Phlebas: the GSV Lasting Damage fought in the Idiran-Culture War, and Ziller specially composes a work to commemorate the arrival of light from a supernova triggered during the war.
Consider a jet with an angle to the lines of sight θ = 5 ° and a speed of 99. 9 % of the speed of light.
Consider a simple clock consisting of two mirrors A and B, between which a light pulse is bouncing.
Consider a " small " light source located on-axis in the object plane of the lens.
Consider how this would refract light.
Consider the net electric field E produced by a light wave of frequency ω together with an external electric field E < sub > 0 </ sub >:
Consider the illustration, depicting a plane intersecting a cone to form an ellipse ( the interior of the ellipse is colored light blue ).
Consider a relay that has to energize to show a green light.
Consider a light source, Σ, and a light " receiver ", S, both of which are extended surfaces ( rather than differential elements ), and which are separated by a medium of refractive index n that is perfectly transparent ( shown ).
Consider an infinitesimal area, dS, immersed in a medium of refractive index n crossed by ( or emitting ) light inside a cone of angle α.
Consider two light sources made up of different mixtures of various wavelengths.
Consider a direct-current circuit with a nine-volt DC source ; three resistors of 67 ohms, 100 ohms, and 470 ohms ; and a light bulb -- all connected in series.

Consider and wave
Consider a wave packet as a function of position x and time t: α ( x, t ).
Consider a wave function that is a sum of many waves, however, we may write this as
Consider a traveling transverse wave ( which may be a pulse ) on a string ( the medium ).
Consider this wave as traveling
Consider solutions in which a fixed wave form ( given by f ( X )) maintains its shape as it travels to the right at phase speed c. Such a solution is given by ( x, t )
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 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 )).
Consider, for example, a two element array spaced apart by one-half the wavelength of an incoming RF wave.
Consider a second order partial differential equation in three variables, such as the two-dimensional wave equation

Consider and along
Consider a physical system that acts as a linear filter, such as a system of springs and masses, or an analog electronic circuit that includes capacitors and / or inductors ( along with other linear components such as resistors and amplifiers ).
Consider dividing the largest rectangle in two triangles, cutting along the diagonal.
Consider T to be a differentiable multilinear map of smooth sections α < sup > 1 </ sup >, α < sup > 2 </ sup >, ..., α < sup > q </ sup > of the cotangent bundle T * M and of sections X < sub > 1 </ sub >, X < sub > 2 </ sub >, ... X < sub > p </ sub > of the tangent bundle TM, written T ( α < sup > 1 </ sup >, α < sup > 2 </ sup >, ..., X < sub > 1 </ sub >, X < sub > 2 </ sub >, ...) into R. Define the Lie derivative of T along Y by the formula
Consider a polygon P and a triangle T, with one edge in common with P. Assume Pick's theorem is true for both P and T separately ; we want to show that it is also true to the polygon PT obtained by adding T to P. Since P and T share an edge, all the boundary points along the edge in common are merged to interior points, except for the two endpoints of the edge, which are merged to boundary points.
Consider two waveforms f and g. By calculating the convolution, we determine how much a reversed function g must be shifted along the x-axis to become identical to function f. The convolution function essentially reverses and slides function g along the axis, and calculates the integral of their ( f and the reversed and shifted g ) product for each possible amount of sliding.
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 an infinite cylinder whose axis lies along the vector
Consider the rigid object moving smoothly along the regular curve.
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 and z
#: 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 a point charge q with position ( x, y, z ).
Consider a Lorentz boost in a fixed direction z.
Consider the projection π: S < sup > 1 </ sup > → S < sup > 1 </ sup > given by zz < sup > 2 </ sup >.
Consider the complex logarithm function log z.
Consider the Laurent expansion at all such z and subtract off the singular part: we are left with a function on the Riemann sphere with values in C, which by Liouville's theorem is constant.
Consider the Laurent series of f ( z ) about i, the only singularity we need to consider.

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