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 from a metric space M to a topological space V, and a point c of M. We direct the set M

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 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 adopting a system of holidays in which time off is granted with an eye to minimum inconvenience to the operation of the plant.

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 the assembly of a car: assume that certain steps in the assembly line are to install the engine, install the hood, and install the wheels ( in that order, with arbitrary interstitial steps ); only one of these steps can be done at a time.

* Consider a set with three elements, A, B, and C. The following operation:

Consider a speech signal reduced to packets, and forced to share a link with bursty data traffic ( traffic with some large data packets ).

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

Consider the real line with its ordinary topology.

( Consider 1 / 0, which is defined with the value of infinity, vs. 0 / 0, which is undefined.

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 ).

Fundamental group: Consider the category of pointed topological spaces, i. e. topological spaces with distinguished points.

Consider a collection of particles performing a random walk in one dimension with length scale and time scale.

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

* The Infinite Moment ( 1961 ) ( US edition of Consider Her Ways, with two stories dropped, two others added )

Consider the following example ( in Kwakw ' ala, sentences begin with what corresponds to an English verb ):

Consider a test apparatus consisting of a closed and well insulated cylinder equipped with a piston.

Consider two noninteracting systems and, with respective Hilbert spaces and.

Consider as above systems and each with a Hilbert space,.

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.

Consider the following: if the typical user is searching with term " A ", would they also want resources tagged with term " B "?

Again we start with a C < sup >∞</ sup > manifold, M, and a point, x, in M. Consider the ideal, I, in C < sup >∞</ sup >( M ) consisting of all functions, ƒ, such that ƒ ( x ) = 0.

Consider a linear differential equation with constant coefficients

Consider the time series of an independent variable and a dependent variable, with observations sampled at discrete times.