Consider the case when we have four layers to blend to produce the final image: F =

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 the case in which liquid crystal molecules are aligned parallel to the surface and an electric field is applied perpendicular to the cell as in the following diagram.

Consider the case of an airfoil accelerating from rest in a viscous flow.

Consider also the case of a vessel leaving a star system, or heading to the outer planets.

Consider the case where the far end of the cable is shorted ( that is, it is terminated into zero ohms impedance ).

Argument from rarity – Consider this case: a lottery winner is accused of cheating, based on the improbability of winning.

Consider the simplest case, a system with one independent variable, time.

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 the special case in which the axis of rotation lies in the xy plane.

Consider the manufacture and sale of any item, which in this case we will call a widget.

Consider the following quote: " How can the fact that, in the case of the brains in a vat, the language is connected by the program with sensory inputs which do not intrinsically or extrinsically represent trees ( or anything external ) possibly bring it about that the whole system of representations, the language in use, does refer to or represent trees or any thing external?

Consider the following theorem ( which is a case of the Pigeonhole Principle ):

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

Consider a case of a level sensing platform on an aircraft flying due North with its three gimbal axes mutually perpendicular ( i. e., roll, pitch and yaw angles each zero ).

Consider the expression: in this case, the dummy variable of the product is not mentioned within the term.

Consider that in the case of the Mount Isa orebody, large amounts of capital are required to sink shafts and associated underground infrastructure, then laboriously drill and blast the ore, crush and process it, to extract the base metals, an activity which requires a large workforce.

Consider the case where ( that is, the jth element is one and all others zero ).

Consider the case when the surfaces are flat and planar cross-sections.

Consider the special case N = 1.

Consider the following test case: The field f has been on for infinite time and is switched off at t = 0

Consider the case this way-to a cat, catching and eating mice is perfectly natural and morally sound.

Consider the case of a 2-by-2 matrix

Consider it as a standby setup, at negligible cost, for those emergencies when the furnace quits, a blizzard holds up fuel delivery, or for cool summer mornings or evenings when you don't want to start up your whole heating plant.

Consider what happened during World War 1,, when the Protestant churches united to push the Prohibition law through Congress.

Consider, for example, what happens when an object in the periphery of the visual field moves, and a person looks toward it.

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, also, that all English speakers often pronounce ' Z ' where ' S ' is spelled, almost always when a noun ending in a voiced consonant or a liquid is pluralized, for example " seasons ", " beams ", " examples ", etc.

Consider what happens when the temperature of body " A " changes, but that of the Earth does not.

Consider a moment when a vertex's distance is updated by

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

But the one thing that I didn't expect was when an older player came to talk to me after the first concert and said, ' Consider this your future home.

Consider for example when a military is organising a secret attack against another nation: it may suffice to alert the other nation for them to know merely that there is a lot of secret activity going on.

Consider applying creational patterns when:

Consider a person standing in the rain on a day when there is no wind.

Consider the following when selecting clothing:

Consider what happens when someone sends a message to the list.

Consider what happens when we add two more voters ( to keep the total number odd ).

Consider Peter Unger's example of a cloud ( from his famous 1980 paper, " The Problem of the Many "): it's not clear where the boundary of a cloud lies ; for any given bit of water vapor, one can ask whether it's part of the cloud or not, and for many such bits, one won't know how to answer.

Consider what you can afford to spend and what your goals are before setting up or revamping your employee benefit program.

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, friend, as you pass by: As you are now, so once was I.

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 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 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 those animals in Alaska that are the result of breeding Huskies and wolves: are they dogs?

Consider a hypothetical hotel with countably infinitely many rooms, all of which are occupied – that is to say every room contains a guest.

Consider how the vertical and horizontal displacements of the dot, relative to the center of the circle, vary sinusoidally in time and are out of phase by one quarter of a cycle.

As a sidenote, the fact that artificial intelligences are accepted as citizens of the Culture was a major factor in the Idiran-Culture War, which is explored in Consider Phlebas.

Consider the following claim: " it is false that A and B are both true ", which is written as:

Both titles are derived from a couplet in T. S. Eliot's poem, The Waste Land ( which appears both in this work and Consider Phlebas as an epigraph ):

Consider the factors affecting the demand for a product that are

We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:

Consider a system are of localized, non-interacting absorbing centers.

Consider a language ( such as English ) in which the arithmetical properties of integers are defined.

Consider the theory obtained by adding a new constant symbol ε to the language and adjoining to Σ the axiom ε > 0 and the axioms ε < 1 / n for all positive integers n. Clearly, the standard real numbers R are a model for every finite subset of these axioms, because the real numbers satisfy everything in Σ and, by suitable choice of ε, can be made to satisfy any finite subset of the axioms about ε.

Consider Thomas Hood's " Bridge of Sighs :", in which the lines are of two feet, each composed of three syllables:

Consider the polynomial ring R, and the irreducible polynomial The quotient space is given by the congruence As a result, the elements ( or equivalence classes ) of are of the form where a and b belong to R. To see this, note that since it follows that,,, etc.

David Chalmers recently developed a thought experiment inspired by the movie The Matrix in which substance dualism could be true: Consider a computer simulation in which the bodies of the creatures are controlled by their minds and the minds remain strictly external to the simulation.

Consider a system S and environment ( bath ) B, which are closed and can be treated quantum mechanically.

Consider a game of dice throwing in which there are