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

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

* P. J. Rudall, K. L. Stobart, W .- P. Hong, J. G. Conran, C. A. Furness, G. C. Kite, M. W. Chase ( 2000 ) Consider the Lilies: Systematics of Liliales.

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.

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

Consider a capacitor of capacitance C, holding a charge + q on one plate and − q on the other.

Consider a circuit where R, L and C are all in parallel.

Consider a list with items and with R1 and R2 being registers containing, respectively, the address of the current ( say C ) list item and a work register containing the XOR of the current address with the previous address ( say C ⊕ D ).

Consider this snippet of C code as an example of the ambiguity encountered when determining SLOC:

Consider the case when a child executes an "" system call ( which is used to execute any executable file from within a C program ) or exits very soon after the.

Consider the subset C of B, consisting of those B elements, which satisfy monic polynomial equations over A:

Consider the category C of algebraic structures ; these can be thought of as sets plus operations, obeying some laws.

Consider a relation variable ( relvar ) R with attributes ( A, B, C, D ) that has only the following two legal values r1 and r2:

Consider the C expression ( 4 + 9 ).

Consider a portfolio P consisting of C < sub > i </ sub > amount of each Arrow security A < sub > i </ sub >.

* Consider the Riesz space C < sub > c </ sub >( X ) of all continuous complex-valued functions of compact support on a locally compact Hausdorff space X.

Consider the following example written in C.

Consider an election in which there are 4 candidates A, B, C and D, each voter expresses a top-to-bottom ordering of the candidates, and the voters ' orderings are as follows:

The first of these three identities says that the 0 form a representation of the ordinary Lie algebra spanned by E ( Consider the 0 as vectors on which the E act.

Consider a finite group G, a field k and the group algebra kG.

Consider the tropical semiring ( also known as the min-plus algebra due to the definition of the semiring ).

Consider the operator algebra of a system of N identical particles.

Consider a Lie algebra g over a field K. Every element x of g defines the adjoint endomorphism ad ( x ) ( also written as ad < sub > x </ sub >) of g with the help of the Lie bracket, as

Consider first representations of the Lie algebra

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.

In Consider Phlebas it is noted that Minds still find humans fascinating, especially their odd ability to sometimes achieve similarly advanced reasoning as their much more complex machine brains.

Consider a slightly more complex example:

Consider the complex Hilbert space L < sup > 2 </ sup > and the differential operator

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

Consider the ( Euclidean ) complex plane equipped with the metric

Consider the Gram – Schmidt process applied to the columns of the full column rank matrix, with inner product ( or for the complex case ).

A fundamental part of ` Abdul-Bahá's teachings on evolution is the belief that all life came from the same origin: " the origin of all material life is one ..." He states that from this sole origin, the complete diversity of life was generated: " Consider the world of created beings, how varied and diverse they are in species, yet with one sole origin " He explains that a slow, gradual process led to the development of complex entities:

Consider the complex logarithm function log z.

Consider for example any compact connected complex manifold M: any holomorphic function on it is locally constant by Liouville's theorem.

Consider a complex scalar field φ, with the constraint that φ < sup >*</ sup > φ = v², a constant.

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 a once-punctured elliptic curve, given as the locus D of complex points satisfying, where and is a complex number.

Consider a d < sup > 6 </ sup > octahedral complex ( example IrBr < sub > 6 </ sub >< sup > 3 -</ sup >).

* Consider C, the field of complex numbers, as a 1-dimensional vector space.

Consider a polygon in the complex plane.