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For and any
For the answer cannot be derived from any socially cohesive element in the disrupting community.
For the truth formerly experienced by the community no longer has existential status in the community, nor does any answer elaborated by philosophers or theoriticians.
William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.
For if Serenissimus made the sign of the Cross with his right hand, and meant it, with his left he beckoned lewdly to any lady who happened to catch his eye.
For them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.
For one thing, there wasn't going to be any ceremony at all this year.
For that reason any democratic reform and effort to bring genuine representative government to the Dominican Republic will need the greatest sympathy and help.
For those communities which have financial difficulties in effecting adjustments, there are a number of alternatives any one of which alone, or in combination with others, would minimize if not even eliminate the problem.
For United States expenditures under subsections ( A ), ( B ), ( D ), ( E ), ( F ), ( H ) through ( R ) of Section 104 of the Act or under any of such subsections, the rupee equivalent of $200 million.
For the making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.
For the near term, however, it must be realized that the industrial and commercial market is somewhat more sensitive to general business conditions than is the military market, and for this reason I would expect that any gain in 1961 may be somewhat smaller than those of recent years ; ;
For any house.
For proper accreditation of schools, teachers in any course must have a degree at least one level above that for which the student is a candidate.
For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.
For the lines of any plane, **yp, meeting Q in a conic C, are transformed into the congruence of secants of the curve C' into which C is transformed in the point involution on Q.
For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.
For any choice of admissible policy Af in the first stage, the state of the stream leaving this stage is given by Af.
For in the modern world neither `` spirit '' nor `` matter '' refer to any generally agreed-upon elements of experience.
For in Christ Jesus neither circumcision nor uncircumcision but a new creation is of any account.
For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.
: For any set A, the power set of A ( with the empty set removed ) has a choice function.
: For any set A there is a function f such that for any non-empty subset B of A, f ( B ) lies in B.

For and set
For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.
( For each State, make all computations set forth in items 1 to 8 above, and then add the results obtained for each State in item 8.
For example, the inflected forms of a word can be represented, insofar as regular inflection allows, by a stem and a set of endings to be attached.
For the only time in the opera, words are not set according to their natural inflection ; ;
For a while Nick followed the twisting course of the bubbles, wondering which set came from Elaine.
" For some time, Lincoln continued earlier plans to set up colonies for the newly freed slaves.
For example, after having established that the set X contains only non-empty sets, a mathematician might have said " let F ( s ) be one of the members of s for all s in X.
For finite sets X, the axiom of choice follows from the other axioms of set theory.
For example, suppose that X is the set of all non-empty subsets of the real numbers.
For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.
** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.
** For every non-empty set S there is a binary operation defined on S that makes it a group.
For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.
For much of the history of the series ( Volumes 4 through 29 ), settings in Gaul and abroad alternated, with even-numbered volumes set abroad and odd-numbered volumes set in Gaul, mostly in the village.
For the graphical user interfaces, AIX v2 came with the X10R3 and later the X10R4 and X11 versions of the X Window System from MIT, together with the Athena widget set.
For example, the equation y = x corresponds to the set of all the points on the plane whose x-coordinate and y-coordinate are equal.
For example the character set had no "↑" symbol, so exponentiation was an overstrike of "|" and "*".
For example, a Commodore 64 user calling an Atari BBS would use ASCII rather than the machine's native character set.

For and X
For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.
For example, suppose that each member of the collection X is a nonempty subset of the natural numbers.
For example, if K is a field of characteristic p and if X is transcendental over K, is a non-separable algebraic field extension.
For a singly charged hydrogen ion, ionised at 8 kV, the resulting velocity would be X ms < sup >− 1 </ sup >.
For ƒ ∈ C ( X ) ( with a compact Hausdorff space X ), one sees that:
For natural numbers ( taken to include 0 ) n and k, the binomial coefficient can be defined as the coefficient of the monomial X < sup > k </ sup > in the expansion of.
For example " GOOD DOG " can be encrypted as " PLLX XLP " where " L " substitutes for " O ", " P " for " G ", and " X " for " D " in the message.
For example, an " X " is used to indicate a variable group amongst a class of compounds ( though usually a halogen ), while " R " is used for a radical, meaning a compound structure such as a hydrocarbon chain.
For every real number x, the cumulative distribution function of a real-valued random variable X is given by
For any topological space X the ( Alexandroff ) one-point compactification αX of X is obtained by adding one extra point ∞ ( often called a point at infinity ) and defining the open sets of the new space to be the open sets of X together with the sets of the form G < font face =" Arial, Helvetica "> U </ font >
For example, W, a witness, testifies that she saw X drive his automobile into a green car.
For example, books on the English language may be put in X, and books on language in general in a subclass of X, or this can be reversed.
For a given point P, a line is drawn through P perpendicular to the x-axis to meet it at X and second line is drawn through P perpendicular to the y-axis to meet it at Y.
Most of his roles are cameo appearances, as in Into The Night, Jason X, To Die For, Blood_and_Donuts and Alias, but on occasion he has played major roles, as in Nightbreed or Last Night.

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