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Consider the following commutative diagram in any abelian category ( such as the category of abelian groups or the category of vector spaces over a given field ) or in the category of groups.
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Consider and following
Consider the following reactions of acetic acid ( CH < sub > 3 </ sub > COOH ), the organic acid that gives vinegar its characteristic taste:
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 following examples, created using animated GIFs, wherein a key frame defines the starting and ending points of any smooth transition:
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 following example ( in Kwakw ' ala, sentences begin with what corresponds to an English verb ):
Consider the following: if the typical user is searching with term " A ", would they also want resources tagged with term " B "?
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 and diagram
Consider a road network as shown in the adjacent diagram, on which 4000 drivers wish to travel from point Start to End.
Consider the simple influence diagram representing a situation where a decision-maker is planning her vacation.
Consider now the free body diagram of a deformable body, which is composed of an infinite number of differential cubes as shown in the figure.
Consider and any
Consider the logarithm function: For any fixed base b, the logarithm function log < sub > b </ sub > maps from the positive real numbers R < sup >+</ sup > onto the real numbers R ; formally:
#: 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 a system in which voters can vote for any candidate from any one of many parties ; suppose further that if a party gets 15 % of votes, then that party will win 15 % of the seats in the legislature.
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 an elastic collision in 2 dimensions of any 2 masses m < sub > 1 </ sub > and m < sub > 2 </ sub >, with respective initial velocities u < sub > 1 </ sub > and u < sub > 2 </ sub >
Consider this example: reality for people who believe in any particular God is different from reality for those who believe that science is sufficient for explaining life and the universe.
Consider for example, the sharing of food in some hunter-gatherer societies, where food-sharing is a safeguard against the failure of any individual's daily foraging.
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 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 promptly any significant areas of deficiency in financial reporting that might be improved through standard setting.
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 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.
He told Hall: " Consider, here are 2000 people sitting still, absolutely declining to give me any indication of where they belong to ; they will sit still where they are and do nothing else.
Consider a linear polymer to be a freely-jointed chain with N subunits, each of length, that occupy zero volume, so that no part of the chain excludes another from any location.
Consider the ring generated by pairs ( X, V ) where V is a smooth vector bundle on the compact smooth oriented manifold X, with relations that the sum and product of the ring on these generators are given by disjoint union and product of manifolds ( with the obvious operations on the vector bundles ), and any boundary of a manifold with vector bundle is 0.
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