Consider the following classically valid theorems.

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 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.

Consider the real line with its ordinary topology.

Consider the closed intervals for all integers k ; there are countably many such intervals, each has measure 1, and their union is the entire real line.

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 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 Phlebas is Banks's first published science fiction novel set in the Culture, and takes its title from a line in T. S. Eliot's poem The Waste Land.

Consider a loop accessing locations in an equidistant pattern, i. e. the path in the spatial-temporal coordinate space is a dotted line.

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

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:

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 a car traveling on a straight line through a hilly road.

Consider two sets of four items lying on a table, with the items in each set being arranged in a vertical line, and such that one set sits next to the other.

Consider a row of bosons all confined to a one-dimensional line.

Consider a quantum mechanical particle confined to a closed loop ( i. e., a periodic line of period L ).

Consider fitting a line: for each data point the product of the vertical and horizontal residuals equals twice the area of the triangle formed by the residual lines and the fitted line.

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 ).

Consider a father marmoset was chimeric in his germ line.

Consider the line in the body defined by the two points p and q, which has the Plücker coordinates,

The film was marketed with the tag line " Consider the possibilities.

Consider fitting a straight line for the relationship of an outcome variable y to a predictor variable x, and estimating the gradient ( slope ) of the line.

Consider what you have to earn to be able to spend the $3,000 and your building time is well worth it.

Consider the subset sum problem, an example of a problem that is easy to verify, but whose answer may be difficult to compute.

Consider a beam, fixed at one end and having a mass attached to the other ; this would be a single degree of freedom ( SDoF ) oscillator.

Geometric arrangement for Fresnel's calculation Consider the case of a point source located at a point P < sub > 0 </ sub >, vibrating at a frequency f. The disturbance may be described by a complex variable U < sub > 0 </ sub > known as the complex amplitude.

Consider for example determining which of the following are to be considered diseases ( i. e., abnormal states requiring cure ): alcoholism, homosexuality, and chronic fatigue syndrome.

Consider the EPR thought experiment, and suppose quantum states could be cloned.

Consider, for example, that when the bride says " I do " at the appropriate time in a wedding, she is performing the act of taking this man to be her lawful wedded husband.

Consider the analogy between the sentence " Snow is white " and the character named Snow White, both of which can be true in some sense.

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 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 the following URL as it would be requested by a client:

Consider a traveling transverse wave ( which may be a pulse ) on a string ( the medium ).

Consider how a simple expression such as could be evaluated – one could also compute the equivalent.

Consider a jar containing N lottery tickets numbered from 1 through N. If you pick a ticket randomly then you get positive integer n, with probability 1 / N if n ≤ N and with probability zero if n > N. This can be written

Consider the implication " if I am in Massachusetts, then I am in North America ", which we might alternatively express as, " if I were in Massachusetts, then I would be in North America ".

Consider the task to find the present value PV of $ 100 that will be received in five years.

Consider code that adds two numbers and then multiplies by a third ; in the Cray, these would all be fetched at once, and both added and multiplied in a single operation.

The drone, Jase, in Consider Phlebas, is described as being constructed before the use of " auras ", and refuses to be retrofitted with them, preferring to remain inscrutable.

Consider an open subset U of the complex plane C. Let a be an element of U, and f: U