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

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 the C *- algebra of complex square matrices.

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 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.

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

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 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.

Consider an operation like vector addition, which is used very often in computer graphics applications.

Consider Phlebas, like most of Banks ' early SF output, was a rewritten version of an earlier book, as he explained in a 1994 interview:

Consider the space for a maze being a large grid of cells ( like a large chess board ), each cell starting with four walls.

Consider a number divided into one, like 1 / 3 or 1 / 7.

Consider sentences with expletives ( meaningless subjects ), like:

A partition of a set S is a pairwise disjoint set of non-empty subsets, called " parts " or " blocks ", whose union is all of S. Consider a finite set that is linearly ordered, or ( equivalently, for purposes of this definition ) arranged in a cyclic order like the vertices of a regular n-gon.

Consider the “ production ” of rock lobster where the costs to produce one rock lobster ( i. e. paying for labour, the nets, and the like, and including normal profit ) amount to $ 3.

Consider the “ production ” of rock lobster where the costs to produce one rock lobster ( i. e. paying for labour, the nets, and the like, and including normal profit ) amount to $ 3.

Jesus Christ also said: " Consider the lilies, how they grow ; they neither toil nor spin ; yet I tell you, even Solomon in all his glory was not arrayed like one of these. But if God so clothes the grass which is alive in the field today and tomorrow is thrown into the oven, how much more will he clothe you, O men of little faith!

They gained an early foothold with their first major TV series, Consider Your Verdict ( 1961 – 64 ), which presented dramatisations of court cases, but like all other local producers, Crawfords faced massive competition from imported overseas programming.