If there were only darkness, all would be clear.

If there were only the mess, all would be clear ; ;

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

Defoe then commented, `` If they Could Draw that young Gentleman into Their Measures They would show themselves quickly, for they are not asham'd to Say They want only a head to Make a beginning ''.

If it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.

If only for this modest masterpiece of military history, Blenheim is likely to be read and reread long after newer interpretations have perhaps altered our picture of the Marlborough wars.

If only this could be done more often -- with such heartening results -- many of the earth's `` big problems '' would shrink to the insignificances they really are.

If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.

If only the fucken weather wasn't so lousy!!

Somebody, got to be somebody If I don't put my two cents in soon, somebody else will I know they're waitin only for one thing: for the bastards what done it to be nailed.

If only Simms Purdew could do that, whatever the thing he remembered and told.

`` If he would only leave the East '', said Mary.

If only there was a clock for him to crawl against.

If the artist would study his work more thoroughly and move certain units in his design, often only slightly, finer pictures would result.

If you have a full-time doctor now, can he be replaced with a part-time doctor or one who serves on a fee-per-case basis only??

If you wish to budget closely on transportation, saving your extra dollars to indulge in luxuries, one agency lists the small Fiat 500 at only $1.26 a day plus $.03 a kilometer and the Fiat 2100 Station Wagon, seating six, at just $1.10 a day and $.105 a kilometer.

`` If I could only think of something at the studio, near me, to absorb his boundless energy '', I said.

If this is the case, one would expect that not only the various procedures just mentioned which alter the hypothalamic balance would influence emotional state and behavior but that emotion itself would act likewise.

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 only state funds were used to pay for the vocational education, it could be argued that the state should not have to bear the cost of vocational training which would benefit employers in other states.

If so, then it is clear that in saying the suffering was bad we are not expressing our feelings only.

If goodness and badness lie in attitudes only and hence are brought into being by them, those men who greeted death and misery with childishly merry laughter are taking the only sensible line.

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 expression that defines the DFT is evaluated for all integers k instead of just for, then the resulting infinite sequence is a periodic extension of the DFT, periodic with period N.

Tensor products: If C denotes the category of vector spaces over a fixed field, with linear maps as morphisms, then the tensor product defines a functor C × C → C which is covariant in both arguments.

If g is the metric on this manifold, one defines the action S ( g ) as

If f and g are two multiplicative functions, one defines a new multiplicative function f * g, the Dirichlet convolution of f and g, by

If one defines the energy per pulse as:

If every object X < sub > i </ sub > of C admits a initial morphism to U, then the assignment and defines a functor V from C to D. The maps φ < sub > i </ sub > then define a natural transformation from 1 < sub > C </ sub > ( the identity functor on C ) to UV.

Any collection of objects and morphisms defines a ( possibly large ) directed graph G. If we let J be the free category generated by G, there is a universal diagram F: J → C whose image contains G. The limit ( or colimit ) of this diagram is the same as the limit ( or colimit ) of the original collection of objects and morphisms.

If X is an object of a locally small category C, then the assignment defines a covariant functor.

If such a hyperplane exists, it is known as the maximum-margin hyperplane and the linear classifier it defines is known as a maximum margin classifier ; or equivalently, the perceptron of optimal stability.

If there are 4 bits per pixel ( 16 colors ), each frame buffer byte defines two pixels, one in each nibble.

If we restrict attention to real-valued W then the relation is defined only for x ≥ − 1 / e, and is double-valued on (− 1 / e, 0 ); the additional constraint W ≥ − 1 defines a single-valued function W < sub > 0 </ sub >( x ).

If the sort key values are totally ordered, the sort key defines a weak order of the items: items with the same sort key are equivalent with respect to sorting.

If different items have different sort key values then this defines a unique order of the items.

If is a Dirichlet character, one defines its Dirichlet L-series by

If ƒ and g are two arithmetic functions ( i. e. functions from the positive integers to the complex numbers ), one defines a new arithmetic function ƒ * g, the Dirichlet convolution of ƒ and g, by

Richard Belzer defines The Big Lie, in his book UFOs, JFK, and Elvis: Conspiracies You Don't Have To Be Crazy To Believe, this way: " If you tell a lie that's big enough, and you tell it often enough, people will believe you are telling the truth, even when what you are saying is total crap.

The integration functional I defined above defines a linear functional on the subspace P < sub > n </ sub > of polynomials of degree ≤ n. If x < sub > 0 </ sub >, …, x < sub > n </ sub > are n + 1 distinct points in, then there are coefficients a < sub > 0 </ sub >, …, a < sub > n </ sub > for which

If the base field F is the field R of real numbers, then x < sup > 2 </ sup > + y < sup > 2 </ sup > = − 1 defines an algebraic extension field of R ( x ), but the corresponding curve considered as a locus has no points in R. However, it does have points defined over the algebraic closure C of R.

If we want to ignore the physics inside the conductor and only describe the physics in the outside region, it becomes natural to mathematically describe the quantum electron by a section in a complex line bundle with an " external " connection rather than an external EM field ( by incorporating local gauge transformations we have already acknowledged that quantum mechanics defines the notion of a ( locally ) flat wavefunction ( zero momentum density ) but not that of unit wavefunction ).

If X is the toric variety corresponding to the normal fan of P, then P defines an ample line bundle on X, and the Ehrhart polynomial of P coincides with the Hilbert polynomial of this line bundle.

If precondition # 1 is changed to " The good in question must be so inferior that the income effect is greater than the substitution effect " then this list defines necessary and sufficient conditions.

If one defines Einstein temperature as

If D is a central simple algebra over K and v is a valuation then D ⊗ K < sub > v </ sub > is a central simple algebra over K < sub > v </ sub >, the local completion of K at v. This defines a homomorphism from the Brauer group of K into the Brauer group of K < sub > v </ sub >.

If one defines a homology theory axiomatically ( via the Eilenberg-Steenrod axioms ), and then relaxes one of the axioms ( the dimension axiom ), one obtains a generalized theory, called an extraordinary homology theory.