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Page "learned" ¶ 1083
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Some Related Sentences

If and one
If you take the one, you'd better take both ''.
`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.
If one dancer slaps another, the victim may do a pirouette, sit down, or offer his assailant a fork and spoon.
If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.
If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
If within one year you can make a success out of the American, you can practically name your own salary thereafter.
If it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.
If one finger is raised against the authorities, all our moral power will vanish.
If any one of them has any power to veto the Secretary General's decisions the nature of the organization will have changed.
If he can bounce back with one of those 25 home runs years, the club will have to be better off offensively.
If they do meet and recognize one another, slap backs and embrace, the moment soon is done.
If either one ever started making promises, there is no telling where the promises would end.
If one follows the reports of the Congress, one finds that there still seems considerable uncertainty in the minds of the leaders themselves about what exactly to do in this matter.
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 we had, then one of us would have had to go instead.
`` If I catch you one more time down here without stockings '' --
If, for some reason such as economy, we are not going to develop aircraft nuclear propulsion with a sense of national urgency, then we should turn our effort to developing jet engines with a thrust-to-weight ratio of 12 or 15 to one.
If you don't own a planer and don't want to buy one, it's well worth renting.
Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.
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 use one of the new year-round cooling system fluids such as `` Dowguard '' be sure to check it.
If you run into excess plug fouling on one truck, check to be sure that the rig has a thermostat.

If and characteristic
If we try to study T using characteristic values, we are confronted with two problems.
If a group has an involution with a 2-component that is a group of Lie type of odd characteristic, the goal is to show that it has a centralizer of involution in " standard form " meaning that a centralizer of involution has a component that is of Lie type in odd characteristic and also has a centralizer of 2-rank 1.
If the graph G is connected, then the rank of the free group is equal to 1 − χ ( G ): one minus the Euler characteristic of G.
If the cooling is sufficiently rapid ( relative to the characteristic crystallization time ) then crystallization is prevented and instead the disordered atomic configuration of the supercooled liquid is frozen into the solid state at T < sub > g </ sub >.
If the field of scalars of the vector space has characteristic p, and if p divides the order of the group, then this is called modular representation theory ; this special case has very different properties.
If the field had characteristic p > 0, then − 1 would be the sum of p − 1 ones, but − 1 is not positive ).
If f is the characteristic function of a set B, B is also said to be A-computable, and M is said to be a Turing reduction from B to A.
If the person is infected with scabies, the characteristic zigzag or S pattern of the burrow will appear across the skin ; however, interpreting this test may be difficult, as the burrows are scarce and may be obscured by scratch marks.
If there is no distinct boundary, then the population of A suddenly stopped using the customs characteristic of A and suddenly started using those of B, an unlikely scenario in the process of evolution.
If is the characteristic impedance of the line, then for a wave moving rightward, or for a wave moving leftward.
If the transmission line is uniform along its length, then its behaviour is largely described by a single parameter called the characteristic impedance, symbol Z < sub > 0 </ sub >.
If the current and voltage come from a single wave ( with no reflection ), then V ( x ) / I ( x ) = Z < sub > 0 </ sub >, where Z < sub > 0 </ sub > is the characteristic impedance of the line.
If two people were in a room and one of them wanted to refer to a characteristic of a chair in the room he would say " this chair has four legs " instead of " a chair has four legs.
If the characteristic of the ground field K is not 2, then one can rewrite this fundamental identity in the form
If one puts a detector screen on the other side, the pattern of detected particles shows interference fringes characteristic of waves ; however, the detector screen responds to particles.
If the characteristic length is defined
If it is desired to sample more of the exponential electron portion of the characteristic, an asymmetric double probe may be used, with one electrode larger than the other.
If one bends and deforms the surface, its Euler characteristic, being a topological invariant, will not change, while the curvatures at some points will.
If ( d < sub > n </ sub >: A < sub > n </ sub > → A < sub > n-1 </ sub >) is a chain complex such that all but finitely many A < sub > n </ sub > are zero, and the others are finitely generated abelian groups ( or finite dimensional vector spaces ), then we can define the Euler characteristic
If A is abelian, then the torsion subgroup T is a fully characteristic subgroup of A and the factor group A / T is torsion-free.
The compactness theorem implies Robinson's principle: If a first-order sentence holds in every field of characteristic zero, then there exists a constant p such that the sentence holds for every field of characteristic larger than p. This can be seen as follows: suppose φ is a sentence that holds in every field of characteristic zero.

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