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Consider a wave packet as a function of position x and time t: α ( x, t ).
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Consider and wave
Consider a light wave propagating along the z principal axis polarised such the electric field of the wave is parallel to the x-axis.
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 the net electric field E produced by a light wave of frequency ω together with an external electric field E < sub > 0 </ sub >:
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 function
Consider a pseudo random number generator ( PRNG ) function P ( key ) that is uniform on the interval 2 < sup > b </ sup > − 1.
Consider the logarithm function: For any fixed base b, the logarithm function log < sub > b </ sub > maps from the positive real numbers R < sup >+</ sup > onto the real numbers R ; formally:
Consider a function from a metric space M to a topological space V, and a point c of M. We direct the set M
Consider the complex Hilbert space L < sup > 2 </ sup >( R ), and the operator which multiplies a given function by x:
Consider a graph G with vertices V, each numbered 1 through N. Further consider a function shortestPath ( i, j, k ) that returns the shortest possible path from i to j using vertices only from the set
Consider, for purposes of illustration, a mountainous landscape M. If f is the function sending each point to its elevation, then the inverse image of a point in ( a level set ) is simply a contour line.
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.
The Mind in Consider Phlebas is also described as having internal power sources which function as back-up shield generators and space propulsion, and seeing the rational, safety-conscious thinking of Minds, it would be reasonable to assume that all Minds have such features, as well as a complement of drones and other remote sensors as also described.
Consider and position
Consider a random walk on the number line where, at each step, the position ( call it x ) may change by + 1 ( to the right ) or-1 ( to the left ) with probabilities:
Suppose S ' is in relative uniform motion to S with velocity v. Consider a point object whose position is given by r
However, during the Idiran-Culture War ( Consider Phlebas ), it played the role of the Culture's military arm, and Special Circumstances took the position of military intelligence.
Consider a discrete charge distribution consisting of N point charges q < sub > i </ sub > with position vectors r < sub > i </ sub >.
( 2001 ); Consider Love ( 2002 ); and Philadelphia Chickens ( 2002 ), which reached the number one position on the list, and was on the list for nearly a year.
Consider a particle or material point with position vector in the undeformed configuration ( Figure 2 ).
0.278 seconds.