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Consider a light wave propagating along the z principal axis polarised such the electric field of the wave is parallel to the x-axis.
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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.
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Consider light — a stream of discrete photons — coming out of a laser pointer and hitting a wall to create a visible spot.
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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 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 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 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 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, 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 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 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.
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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 the projection π: S < sup > 1 </ sup > → S < sup > 1 </ sup > given by z ↦ z < sup > 2 </ sup >.
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.
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