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If and these
If these people were denied a voice ( do they have a moral right to a voice??
If you cut down these horrible buildings you'll have no more traffic jams.
If art is to release us from these postulated things ( things we must think symbolically about ) and bring us back to the ineffable beauty and richness of the aesthetic component of reality in its immediacy, it must sever its connection with these common sense entities ''.
If the would-be joiner asks these questions he is not likely to be duped by extremists who are seeking to capitalize on the confusions and the patriotic apprehensions of Americans in a troubled time.
If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.
If Russian pupils have to take these languages, how come American students have a choice whether or not to take a language, but have to face so many exceptions??
If these services are to be maintained, the New York Central must have the revenues to make them possible ''.
If the resulting difference for the particular State is less or more than these extremes, the State's allotment percentage must be raised or lowered to the appropriate extreme.
If the resulting difference for the particular State is less or more than these extremes, the State's Federal share must be raised or lowered to the appropriate extreme.
If you plan to visit any of these countries, you can obtain your International Driving Permit before you leave at a nominal fee -- around $3.00.
but then Arlene got another tone in a hurry, and she said, `` If it wasn't for these dear children '' --.
If adjectival meanings show relatively low retentiveness of stems, as I am confident will prove to be the case in most languages of the world, why should our basic lists include 15 per cent of these unstable forms, but only 8 per cent of animals and plants which replace much more slowly??
If it could be shown that judgments of good and bad were not judgments at all, that they asserted nothing true or false, but merely expressed emotions like `` Hurrah '' or `` Fiddlesticks '', then these wayward judgments would cease from troubling and weary heads could be at rest.
If we were asked why we thought so, we should say that these things involve great evil and are wrong, and that to take delight in what is evil or wrong is plainly unfitting.
If there is nothing evil in these things, if they get their moral complexion only from our feeling about them, why shouldn't they be greeted with a cheer??
If the wedding party lasted late, and the travel schedule means there are only a few hours before resuming the trip or making an early start, the husband may forestall tensions and uncertainties by confiding to his bride that lying in each other's arms will be bliss enough for these few hours.
If these facilities are not at the door, getting them may cost more than you expect.
If the house is not wired adequately for electricity or if plumbing or a central heating system must be installed, check into the cost of making these improvements.
If we add to these contacts with friendly members the `` contacts with an organization of the church '' ( 11.2 per cent of the cases ), then a substantial two thirds of all recruitment is through friendly contact.
If we have not thought and made a decision entirely in these terms, then we need to submit ourselves to the following `` simple test '': `` Have we decided how we are to kill the other members of our household in the event of our being less injured than they are ''??
If I could put your body in an imaginary atomic press and squeeze you down, squeeze these holes out of you in the way we squeeze the holes out of a sponge, you would get smaller and smaller until finally when the last hole was gone, you would be smaller than the smallest speck of dust that you could see on this piece of paper.
If unchallenged, these decisions have the power to settle more minor legal disputes once and for all.
If these allegiances come into conflict, he or she may be guilty of treason against one or both.
If the demands of these two sovereigns upon his duty of allegiance come into conflict, those of the United States have the paramount authority in American law ; likewise, those of the foreign land have paramount authority in their legal system.

If and numbers
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If he can't play with Mommy's magazines, he should have some old numbers of his own.
If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.
If he does, it's still better than an even chance he won't notice the transposition of the numbers, and if he should notice it, the thing can be passed off as an honest mistake.
* If numbers have mean X, then.
* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).
If, however, the numbers are referring to allies it could possibly include forces from Tyre, Judah, Edom, and Moab.
If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.
Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.
If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.
If the exponent r is even, then the inequality is valid for all real numbers x.
If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).
If the shooter rolls one of these numbers on the come-out roll, this establishes the " point "-to " pass " or " win ", the point number must be rolled again before a seven.
If is a convex set, for any in, and any nonnegative numbers such that, then the vector
If n ≥ 1 and is an integer, the numbers coprime to n, taken modulo n, form a group with multiplication as operation ; it is written as ( Z / nZ )< sup >×</ sup > or Z < sub > n </ sub >< sup >*</ sup >.
If the numbers describing the position of the pyramid were changed and this process repeated, the pyramid would appear to move.
From the criterion it also follows that Carmichael numbers are cyclic .< ref > Proof sketch: If is square-free but not cyclic, for two prime factors and of.
This is a Cauchy sequence of rational numbers, but it does not converge towards any rational limit: If the sequence did have a limit x, then necessarily x < sup > 2 </ sup > = 2, yet no rational number has this property.
If x and y are real numbers, and if the graph of y is plotted against x, the derivative measures the slope of this graph at each point.
If we look for solutions that have the form, where C is a constant, we discover the relationship, and thus must be one of the complex numbers or.
If the matrix entries are real numbers, the matrix can be used to represent two linear mappings: one that maps the standard basis vectors to the rows of, and one that maps them to the columns of.
* If we think of as the set of real numbers, then the direct product is precisely just the cartesian product,.
* If we think of as the group of real numbers under addition, then the direct product still consists of.

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