Consider Samuelson's " Austrian " approach.

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

Consider some set P and a binary relation ≤ on P. Then ≤ is a preorder, or quasiorder, if it is reflexive and transitive, i. e., for all a, b and c in P, we have that:

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:

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.

Consider these three things we say about God: first, God is a spirit ; second, God is the creator of the world ; and third, God exists apart from space and time.

Consider a wave function that is a sum of many waves, however, we may write this as

Consider, for example cutlery: If one collection of cutlery is combined with another, we still have " cutlery.

Consider the implication " if I am in Massachusetts, then I am in North America ", which we might alternatively express as, " if I were in Massachusetts, then I would be in North America ".

Consider a non-interacting fermion system ( a Fermi gas ), and suppose we " turn on " the interaction slowly.

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

Consider an MDCT with 2N inputs and N outputs, where we divide the inputs into four blocks ( a, b, c, d ) each of size N / 2.

Consider a polygon P and a triangle T, with one edge in common with P. Assume Pick's theorem is true for both P and T separately ; we want to show that it is also true to the polygon PT obtained by adding T to P. Since P and T share an edge, all the boundary points along the edge in common are merged to interior points, except for the two endpoints of the edge, which are merged to boundary points.

Consider two waveforms f and g. By calculating the convolution, we determine how much a reversed function g must be shifted along the x-axis to become identical to function f. The convolution function essentially reverses and slides function g along the axis, and calculates the integral of their ( f and the reversed and shifted g ) product for each possible amount of sliding.

Consider a sphere S ( r ) with radius r. A point on the sphere is identified by its latitude φ and longitude λ, for which we introduce the random variables Φ and Λ that take values in Ω < sub > 1 </ sub > = respectively Ω < sub > 2 </ sub > =.

Consider the previous example with men's heights and suppose we have a random sample of n people.

Consider the Laurent expansion at all such z and subtract off the singular part: we are left with a function on the Riemann sphere with values in C, which by Liouville's theorem is constant.

Consider the Laurent series of f ( z ) about i, the only singularity we need to consider.

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 for example the proceedings that we call ' games '.

" Consider what is likely to happen if we don't further in aging research.

Consider what we have done to the Native Americans in this country-from the time of Columbus to the time of the great Western Migration.

Consider the timelike congruence generated by some timelike unit vector field X, which we should think of as a first order linear partial differential operator.

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

Listen to what Mr. Johnston has to say: `` Consider the savage wounds that isolationism would inflict.

Consider a beam, fixed at one end and having a mass attached to the other ; this would be a single degree of freedom ( SDoF ) oscillator.

Consider the following: if the typical user is searching with term " A ", would they also want resources tagged with term " B "?

Consider the following URL as it would be requested by a client:

Consider code that adds two numbers and then multiplies by a third ; in the Cray, these would all be fetched at once, and both added and multiplied in a single operation.

The Mind in Consider Phlebas is also described as having internal power sources which function as back-up shield generators and space propulsion, and seeing the rational, safety-conscious thinking of Minds, it would be reasonable to assume that all Minds have such features, as well as a complement of drones and other remote sensors as also described.

Consider how this would refract light.

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 this conditional sentence: " If George W. Bush hadn't become president of the U. S. in 2001, Al Gore would have.

Consider that, if an external attacker did not know the port knock sequence, even the simplest of sequences would require a massive brute force effort in order to be discovered.

Consider the case where " a " is assigned to a → bδ during step 1: upon membrane 3 dissolving only a single " b " and two " c " objects would exist, leading to the creation of only a single " e " object to eventually be passed out as the computation ’ s result.

Consider the following examples: in 1905 cars were a luxury, hence an individual unable to afford one would not feel or be viewed as deprived.

Consider how you would access and search through digital media catalogs from these same devices or set top boxes.

Consider that if a language pattern is never encountered, but its probability of being encountered would be very high were it acceptable, then the language learner might be right in considering absence of the pattern as negative evidence.

Consider for example workers who take coffee beans, use a roaster to roast them, and then use a brewer to brew and dispense a fresh cup of coffee.

Consider a particular bundle and take the total derivative of about this point:

Consider two radio transmitters located at a distance of 300 km from each other, which means the radio signal from one will take 1 millisecond to reach the other.

During the course of this study, Derrida not only divulges the exact instances Socrates or his interlocutors make use of this concept, but also reveals the relationship between Plato and Socrates which scholars have kept in secret by questioning the validity of authorship in Plato's letters, where in the second letter Socrates writes: " Consider these fact and take care lest you sometimes come to repent of having now unwisely published your views.

The most straightforward method of calculating a modular exponent is to calculate b < sup > e </ sup > directly, then to take this number modulo m. Consider trying to compute c, given b

Consider, for example, an experimenter wishes to determine how long it will take an F22 Raptor pilot to interact with an interface he or she has used for years.

* Consider Your Verdict ( 1954 – 1985 )-"... it's time for you to take your place on the jury ..."-written & produced by Michael Silver at the CRC Studios in Johannesburg.