Consider a wave packet as a function of position x and time t: α ( x, t ).

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 that takes no parameters and returns input from the keyboard.

Consider a wave function that is a sum of many waves, however, we may write this as

Consider a function with its corresponding graph as a subset of the Cartesian product.

Consider the function f, piecewise defined by f ( x ) = – 1 for x < 0 and f ( x ) = 1 for x ≥ 0.

Consider the recursion equations for the factorial function f:

Consider a function that reads the next line of text from a given file:

Consider the complex Hilbert space L < sup > 2 </ sup >( R ), and the operator which multiplies a given function by x:

Consider a function of jump process.

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 a differentiable function ƒ ( x ) whose derivative is ƒ '( x ).

Consider the vector-valued function F from R < sup > 2 </ sup > to R < sup > 2 </ sup > defined by

Consider an open set on the real line and a function f defined on that set with real values.

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.

Consider the complex logarithm function log z.

Consider the function

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 the equipment needed to protect this many from the weather, to make their cooking easy and their sleeping comfortable.

Consider what follows from the positivist view.

Consider the sample ( 4, 7, 13, 16 ) from an infinite population.

Consider a complete orthonormal system ( basis ),, for a Hilbert space H, with respect to the norm from an inner product.

* 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.

< li > Consider the group ( Z < sub > 6 </ sub >, +), the integers from 0 to 5 with addition modulo 6.

Consider the following quotation from Groucho Marx:

Consider the case of an airfoil accelerating from rest in a viscous flow.

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 that published average values of avoided pump failures range from $ 2600 to $ 12, 000.

Consider a light ray passing from glass into air.

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 these three things we say about God: first, God is a spirit ; second, God is the creator of the world ; and third, God exists apart from space and time.

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 a system in which voters can vote for any candidate from any one of many parties ; suppose further that if a party gets 15 % of votes, then that party will win 15 % of the seats in the legislature.

Consider the two endpoints of a rod of length L. The length can be determined from the differences in the three coordinates Δx, Δy and Δz of the two endpoints in a given reference frame

Suppose that U: D → C is a functor from a category D to a category C, and let X be an object of C. Consider the following dual ( opposite ) notions:

Consider on K the metric induced by the uniform distance.

Consider the Kähler metric

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

Consider the ( Euclidean ) complex plane equipped with the metric