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Consider for instance the map f: ( 0, 1 ) → R < sup > 2 </ sup > with f ( t )
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Consider and for
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 a complete orthonormal system ( basis ),, for a Hilbert space H, with respect to the norm from an inner product.
* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.
* Consider the set K of all functions ƒ: → satisfying the Lipschitz condition | ƒ ( x ) − ƒ ( y )| ≤ | x − y | for all x, y ∈.
Consider a project that has been planned in detail, including a time-phased spend plan for all elements of work.
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 Japan, for instance, which used to have optional jury trials for capital or other serious crimes between 1928 and 1943.
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 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 the context of evaluating each one of a class of events A < sub > 1 </ sub >, A < sub > 2 </ sub >, A < sub > 3 </ sub >,..., A < sub > n </ sub > ( for example, is the occurrence of the event harmful or not ?).
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, for example, what happens when an object in the periphery of the visual field moves, and a person looks toward it.
Consider and instance
Consider, for instance, these remarks in the introduction to Hegel's Lectures on the Philosophy of History:
Consider for instance the open unit disc, a non-compact Riemann surface without boundary, with curvature 0 and with Euler characteristic 1: the Gauss – Bonnet formula does not work.
Consider a dataset represented as a matrix ( or a database table ), such that each row represents a set of attributes ( or features or dimensions ) that describe a particular instance of something.
Consider for instance the projection p < sub > 1 </ sub >: R < sup > 2 </ sup > → R on the first component ; A =
Consider a grid graph with r rows and c columns ; the total number n of vertices is r * c. For instance, in the illustration, r = 5, c = 8, and n = 40.
Consider for instance the law of diminishing marginal utility, according to which utility of an added quantity of a good decreases with the amount of the good that is already in possession of the individual.
Consider for instance a certain drug, which cures a given disease in 70 percent of all cases ; without the drug, the disease heals spontaneously in only 50 percent of cases.
Consider, for instance, the top half of the unit circle, x < sup > 2 </ sup > + y < sup > 2 </ sup > = 1, where the y-coordinate is positive ( indicated by the yellow arc in Figure 1 ).
Consider and map
#: Consider a unit sphere placed at the origin, a rotation around the x, y or z axis will map the sphere onto itself, indeed any rotation about a line through the origin can be expressed as a combination of rotations around the three-coordinate axis, see Euler angles.
Consider T to be a differentiable multilinear map of smooth sections α < sup > 1 </ sup >, α < sup > 2 </ sup >, ..., α < sup > q </ sup > of the cotangent bundle T * M and of sections X < sub > 1 </ sub >, X < sub > 2 </ sub >, ... X < sub > p </ sub > of the tangent bundle TM, written T ( α < sup > 1 </ sup >, α < sup > 2 </ sup >, ..., X < sub > 1 </ sub >, X < sub > 2 </ sub >, ...) into R. Define the Lie derivative of T along Y by the formula
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