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 X of nonempty sets, there exists a choice function f defined on X.

: 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 example, a seated passenger in a moving airplane has zero kinetic energy relative to the airplane, but non-zero kinetic energy ( and higher total energy ) relative to the Earth.

For a discrete probability function f ( y ), let y < sub > i </ sub >, i = 1 to n, be the points with non-zero probabilities indexed in increasing order ( y < sub > i </ sub > < y < sub > i + 1 </ sub >).

For example, JUMPN A, LOC jumps to the address LOC if the contents of register A is non-zero.

For a continuous random variable, the probability of any specific value is zero, whereas the probability of some infinite set of values ( such as an interval of non-zero length ) may be positive.

For a non-zero formal Laurent series, the minimal integer n such that a < sub > n </ sub >≠ 0 is called the order of f, denoted ord ( f ).

For non-zero b and positive n, the recurrence relation from the previous subsection can be rewritten as

For a positive normalised number it can be represented as m < sub > 0 </ sub >. m < sub > 1 </ sub > m < sub > 2 </ sub > m < sub > 3 </ sub >... m < sub > p-2 </ sub > m < sub > p-1 </ sub > ( where m represents a significant digit and p is the precision, and m < sub > 0 </ sub > is non-zero ).

For this reason, the pressure of a Fermi gas is non-zero even at zero temperature, in contrast to that of a classical ideal gas.

For this case of an axisymmetric flow, the only non-zero component of the vorticity vector ω is the azimuthal φ – component ω < sub > φ </ sub >

For another way to view this example, notice that according to classical logic, if the locally non-zero condition fails, then it must fail at some specific point x ; and then f ( x ) will equal 0, so that IVT is valid automatically.

For functions of more than one variable, the theorem states that if the total derivative of a continuously differentiable function F defined from an open set U of R < sup > n </ sup > into R < sup > n </ sup > is invertible at a point p ( i. e., the Jacobian determinant of F at p is non-zero ), then F is an invertible function near p. That is, an inverse function to F exists in some neighborhood of F ( p ).

For a given pair of real symmetric positive-definite matrices, and a given non-zero vector, the generalized Rayleigh quotient is defined as:

For a diagonal matrix such as, we get the pseudoinverse by taking the reciprocal of each non-zero element on the diagonal, leaving the zeros in place, and transposing the resulting matrix.

For example, in the codimension 1 case, we can define the tangent bundle of the foliation as, for some ( non-canonical ) ( i. e. a non-zero co-vector field ).

For example in the surface case, an everywhere non-zero vector field can exist on an orientable compact surface only for the torus.

For example, the ring Zy /( xy ) contains x + ( xy ) and y + ( xy ) as zero divisors, but no non-zero nilpotent elements.

For S is a pure state if and only if its diagonal form has exactly one non-zero entry which is a 1.

For instance, one must presuppose some degree of indeterminate future behavior in any telecommunications systems to achieve non-zero entropy ( if one already knows what the other person will say one cannot learn anything ).

For non-zero cosmological constants, on curved spacetimes quantum fields lose their interpretation as asymptotic particles.

For regular binary representations of values, half of all bits will be non-zero, on average, but with NAF this drops to only one-third of all digits.

For a given connected graph G with n labeled vertices, let λ < sub > 1 </ sub >, λ < sub > 2 </ sub >, ..., λ < sub > n − 1 </ sub > be the non-zero eigenvalues of its Laplacian matrix.

* For α a non-zero limit ordinal, the Morley rank is at least α if it is at least β for all β less than α.

In fact that statement is a little weaker, in that it disregards any initial partial sum of the series, in a way that may vary according to p. For the other primes the radius is non-zero.

For example, a 2 × 2 matrix describing a 45 ° rotation will not leave any non-zero vector pointing in the same direction.