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.

Consider a simple 1D advection problem defined by the following partial differential equation

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:

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 first-order linear ODEs of the general form:

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 ).

Consider a linear differential equation with constant coefficients

Consider an example of linear supply and demand curves.

Consider the continuous linear time-variant system

Consider the continuous linear time-invariant system

Consider an overdetermined system of linear equations, as might occur with repeated measurements of a physical phenomenon to compensate for experimental errors.

Consider a system of n linear equations for n unknowns, represented in matrix multiplication form as follows:

Consider in a vector space V, the general linear group GL ( V ).

Consider a linear polymer to be a freely-jointed chain with N subunits, each of length, that occupy zero volume, so that no part of the chain excludes another from any location.

Consider the homogeneous linear ordinary differential

Consider a bounded linear transformation T defined everywhere over a general Banach space.

Consider a continuous linear operator A: H → H ( this is the same as a bounded operator ).

Consider the second-order homogeneous linear differential equation

Consider the linear differential equation with a constant w. Its exact basis solutions are and.

Consider the continuous linear time-variant system

Consider a linear differential operator with constant coefficients,

Consider the following system of linear equations in an FEA problem

Consider the second-order linear differential equation

Consider a linear model of the form

Consider a linear non-homogeneous ordinary differential equation of the form

Consider the following linear inhomogeneous differential equation:

Consider the linear subspace of the n-dimensional Euclidean space R < sup > n </ sup > that is spanned by a collection of linearly independent vectors