Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.

Consider the following simple grammar for arithmetic expressions :< syntaxhighlight lang =" bnf ">

Consider a simple room scene.

Consider a simple example of rational substitution.

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

Consider implementing with a microcontroller chip a simple feedback controller:

Consider for example a sample Java fragment to represent some common farm " animals " to a level of abstraction suitable to model simple aspects of their hunger and feeding.

Consider a simple example drawn from physics.

Consider the simple experiment where a fair coin is tossed four times.

Consider the simple case of two-body system, where object A is moving towards another object B which is initially at rest ( in any particular frame of reference ).

Consider a simple banking application where two users have access to the funds in a particular account.

Consider a simple example: a class of students takes a 100-item true / false test on a subject.

Consider the simple two-valued relationship

Consider the very simple example used by Adam Smith to introduce the subject.

Consider a simple clock consisting of two mirrors A and B, between which a light pulse is bouncing.

Writing in 1960, he begins: " Consider a very long sequence of symbols ... We shall consider such a sequence of symbols to be ' simple ' and have a high a priori probability, if there exists a very brief description of this sequence-using, of course, some sort of stipulated description method.

Consider a simple binary (" for " or " against ") vote.

Consider this simple game: Three gladiators play, with strengths 3, 4, 5.

Consider this simple Python class:

Consider the simple linear regression model

In the case that T acts on euclidean space R < sup > n </ sup >, there is a simple geometric interpretation for the singular values: Consider the image by T of the unit sphere ; this is an ellipsoid, and its semi-axes are the singular values of T ( the figure provides an example in R < sup > 2 </ sup >).

Consider a simple exchange economy with two identical agents, one ( divisible ) good, and two potential states of the world ( which occur with some probability ).

Consider a simple gravity pendulum, whose length equals the radius of the Earth, suspended in a uniform gravitational field of the same strength as that experienced at the Earth's surface.

Consider a simple case: a perfectly competitive market where fuel is the sole input used, and the only determinant of the cost of work.

Consider a 1D situation where there is a jump in the scalar conserved physical quantity, which is governed by the hyperbolic conservation law

Consider all patterns in 1D which have translational symmetry, i. e., functions f ( x ) such that for some a > 0, f ( x + a ) = f ( x ) for all x.

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 problem that has these four properties:

Consider the problem of determining the index of the database entry which satisfies some search criterion.

Consider the two-dimensional problem introduced above:

Consider, for example, the Closest pair problem:

:: • Consider whether a proposed improvement will solve the problem, or cause " crash migration.

Consider the problem of finding solutions of the form ƒ ( r, θ, φ ) = R ( r ) Y ( θ, φ ).

Consider the problem of factoring the polynomial

Consider the following problem.

Consider the problem of a mine owner who must decide at what rate to extract ore from his mine.

Use your experience: Consider the problem and try to make sense of it.

Consider the following stochastic programming problem

Consider a problem that can be solved using a recursive algorithm such as the following:

Consider a complex, real-world problem, like those of marketing or making policies for a nation, where there are many governing factors, and most of them cannot be expressed as numerical time series data, as one would like to have for building mathematical models.

Consider the initial value problem

Consider the following problem in deterministic optimal control over the time period:

Consider the unconstrained optimization problem.

Consider the circuit minimization problem: given a circuit A computing a Boolean function f and a number n, determine if there is a circuit with at most n gates that computes the same function f. An alternating Turing machine, with one alternation, starting in an existential state, can solve this problem in polynomial time ( by guessing a circuit B with at most n gates, then switching to a universal state, guessing an input, and checking that the output of B on that input matches the output of A on that input ).

Consider the problem of estimating the probability that a test point in N-dimensional Euclidean space belongs to a set, where we are given sample points that definitely belong to that set.

Consider the general problem of inferring a distribution for a parameter θ given some datum or data x.

Consider the problem of distributing objects given by a generating function into a set of n slots, where a permutation group G of degree n acts on the slots to create an equivalence relation of filled slot configurations, and asking about the generating function of the configurations by weight of the configurations with respect to this equivalence relation, where the weight of a configuration is the sum of the weights of the objects in the slots.

Consider region D in the plane: a unit circle or general polygon — the asymptotics of the problem, which are the interesting aspect, aren't dependent on the exact shape.