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Page "Graded algebra" ¶ 11
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If and I
If I could make myself feel the same way
If I don't come back in the house, Breed's going to '' --
If I hadn't got Nate stopped when I did, my duds'd all be shot plumb to hell!!
I showed her the shower and tub, and she said, smiling, `` If you really don't mind, I think I'll get clean in the shower, then soak for a few minutes in your tub.
If it were not for an old professor who made me read the classics I would have been stymied on what to do, and now I understand why they are classics ; ;
If I even hint at it do you think it will matter that you are his nephew -- and not even a blood nephew ''??
If you tell him I made a pass at you he might think you misunderstood something I said or did, so instead of just telling him I made a pass, say I tried to date you and that you agreed so you could prove to him what a louse I really am.
If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.
Fruit compote: `` If you think I would understand it '' ; ;
`` If you will pardon, I think it would be better if not.
`` If I don't come out within half an hour ride back to town and bring out a posse ''.
If the old fool argues about the price, tell him I shall order my husband not to treat him as a patient any longer.
If I now risk some comparisons with Sons And Lovers let it be clear that I am not comparing the two works or judging their merits ; ;
If Mrs. Wright doesn't accept the terms in the morning, I'll go either to Tokyo or to Holland, to do what I can.
If I am to speak the whole truth about my knowledge of love, I will have to stop trying to emulate the transcendant nightingale.

If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
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 they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
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 it is an honest feeling, then why should she not yield to it??
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If he is a traditionalist, he is an eclectic traditionalist.
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.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If and homogeneous
If the body is not homogeneous, then the density is a function of the position.
If a mathematical function is used to represent the production function, and if that production function is homogeneous, returns to scale are represented by the degree of homogeneity of the function.
If the Earth were perfectly spherical and homogeneous, then longitude at a point would just be the angle between a vertical north-south plane through that point and the plane of the Greenwich meridian.
If the universe is homogeneous at a large scale, then there would be four times as many stars in a second shell between 2, 000, 000, 000 to 2, 000, 000, 001 light years away.
If two dissimilar homogeneous materials produce thermal EMF1 when the junctions are at T1 and T2 and produce thermal EMF2 when the junctions are at T2 and T3, the EMF generated when the junctions are at T1 and T3 will be EMF1 + EMF2, provided T1 < T2 < T3.
If goods are homogeneous, firms know that a change in their market share is probably due to a price cut ( or quantity increase ) by another member.
If any two functions are solutions to Laplace's equation ( or any linear homogeneous differential equation ), their sum ( or any linear combination ) is also a solution.
If the azeotropic composition is outside the miscibility gap or the constituents of the mixture are completely miscible the type of azeotrope is called a homogeneous azeotrope.
If the supersaturation is high enough, and no suitable surfaces are present, particles may condense in the absence of a pre-existing surface, which is known as homogeneous nucleation.
If the body consists of a homogeneous material with sufficiently known physical properties, the thermal mass is simply the mass of material present times the specific heat capacity of that material.
If the recurrence is inhomogeneous, a particular solution can be found by the method of undetermined coefficients and the solution is the sum of the solution of the homogeneous and the particular solutions.
If there are multiple consumers with homogeneous demand, then profit will equal n times the area ABC, where n is the number of consumers.
If the sex organs are homogeneous, the individual will not be expected to exhibit any intersex traits.
If the physical formula is not dimensionally homogeneous, and therefore erroneous,
If programmers find that they are using multiple objects in the same way, and often have nearly identical code to handle each of them, then composite is a good choice ; it is less complex in this situation to treat primitives and composites as homogeneous.
If the transformation equations defining the generalized coordinates are independent of t, and the Lagrangian is a sum of products of functions ( in the generalized coordinates ) which are homogeneous of order 0, 1 or 2, then it can be shown that H is equal to the total energy E = T + V.
If all units of land are homogeneous, but demand exceeds supply, the entire land will earn economic rent by virtue of its scarcity.
If the homogeneous coordinates of a point are multiplied by a non-zero scalar then the resulting coordinates represent the same point.
If V is a projective variety defined by a homogeneous ideal I, then the values for which A or I appear explicitly in previous definitions must be decreased by one.
If X is a projective variety defined by a homogeneous prime ideal I, then the quotient ring
If R is a quotient of by a homogeneous ideal, then the canonical surjection induces the closed immersion
If the original equations are given in homogeneous form, these can be obtained by setting z
As before, suppose that E is a fibre bundle with structure group G. In the special case when G has a free and transitive left action on F ′, so that F ′ is a principal homogeneous space for the left action of G on itself, then the associated bundle E ′ is called the principal G-bundle associated to the fibre bundle E. If, moreover, the new fibre F ′ is identified with G ( so that F ′ inherits a right action of G as well as a left action ), then the right action of G on F ′ induces a right action of G on E ′.
If it is homogeneous of degree 1, it exhibits constant returns to scale.

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