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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 instance, the following equations:
* Consider a set with three elements, A, B, and C. The following operation:
Consider the following example.
Consider the following:
Consider the following simple grammar for arithmetic expressions :< syntaxhighlight lang =" bnf ">
Consider the following analogy.
Consider the following sentences: " Socrates is a philosopher ", " Plato is a philosopher ".
Consider the following two probabilities, assuming a fair coin:
Consider the following situation.
Consider the following quotation from Groucho Marx:
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 two examples.
Consider the following example ( in Kwakw ' ala, sentences begin with what corresponds to an English verb ):
" Consider the following sentences:
Consider the following statement in the circumstance of sorting apples on a moving belt:
Consider a population consisting of the following eight values:
Consider the following hand.
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 the following example: A game is being played to 9 points.
Consider the following URL as it would be requested by a client:
Consider the following operation on an arbitrary positive integer:

Consider and theorem
Consider two instances of Bayes ' theorem:
Consider the drug testing example in the article on Bayes ' theorem.
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 the theorem " There exist irrational numbers and such that is rational.
Consider for example any compact connected complex manifold M: any holomorphic function on it is locally constant by Liouville's theorem.
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 a social decision model of the kind used in the theory of social choice ( such as used in stating Arrow's theorem ).
Consider the following flawed attempt at a theorem:
Consider the tensor product of modules H < sub > i </ sub >( X, Z ) ⊗ A. The theorem states that there is an injective group homomorphism ι from this group to H < sub > i </ sub >( X, A ), which has cokernel Tor ( H < sub > i-1 </ sub >( X, Z ), A ).
From the Szemerédi – Trotter theorem, the number of such lines is, as follows: Consider the set P of n points, and the set L of all those lines spanned by pairs of points of P that contain at least points of P. Note that, since no two points can lie on two distinct lines.

Consider and which
Consider adopting a system of holidays in which time off is granted with an eye to minimum inconvenience to the operation of the plant.
Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.
( Consider 1 / 0, which is defined with the value of infinity, vs. 0 / 0, which is undefined.
Consider a car's cruise control, which is a device designed to maintain vehicle speed at a constant desired or reference speed provided by the driver.
Consider Japan, for instance, which used to have optional jury trials for capital or other serious crimes between 1928 and 1943.
Consider a binary electrolyte AB which dissociates into A + and B-ions and the equilibrium state is represented by the equation:
Consider a hypothetical event which has 8 possible outcomes, in a country using a decimal currency such as dollars.
Consider two ISPs, A and B, which each have a presence in New York, connected by a fast link with latency 5 ms ; and which each have a presence in London connected by a 5 ms link.
Consider the analogy between the sentence " Snow is white " and the character named Snow White, both of which can be true in some sense.
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 a traveling transverse wave ( which may be a pulse ) on a string ( the medium ).
Consider Hawaiian, which has a and, but no or.
Consider a hypothetical hotel with countably infinitely many rooms, all of which are occupied – that is to say every room contains a guest.
Consider a customer purchasing an item which costs five pence, who possesses several silver sixpence coins.
Consider a typical rational number 415 / 93, which is around 4. 4624.
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 an operation like vector addition, which is used very often in computer graphics applications.
Consider the problem of determining the index of the database entry which satisfies some search criterion.
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:

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