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for a formula P. Variant notations include, for set X and set members x:
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for and formula
During the decade that followed, the common man, as that piece put it, grew uncomfortable as the Voice of God and fled from behind Saint Woodrow ( Wilson ) only to learn from Science, to his shocked relief that after all there was no God he had to speak for and that he was just an animal anyhow -- that there was a chemical formula for him, and that too much couldn't be expected of him.
As a further characterization of the liberal conservative split we may observe that it involves differences in the formula for escaping inevitabilities in history.
As is the case with the allotment provisions for support of vocational rehabilitation services, the matching requirements are also based on a statutory formula.
The 1958 military pay act departed from this established formula by providing for a 6% increase rather than a proportionate increase for everyone retired prior to its effective date of June 1, 1958.
Actually, the engine displacement formula is the standard formula for computing the volume of a cylinder of any type with an added factor that represents the number of cylinders in the engine.
To determine car speed for a given combination of engine speed, gear ratio, and tire size, the formula is: Af.
To determine the rear axle gear ratio for a combination of the other three factors, the formula is: Af.
This was not a search for a `` magic formula '', but rather an examination of basic principles pertaining especially to all types of communication in marriage.
The formula for computing random addresses from the form of each occurrence will not give a distinct address for each distinct form.
Cell dimensions, number of formula units per cell, space group, and specific gravity are given for all substances.
A sufficiently good approximation for determining the end reflection losses R can be obtained from the angle independent Fresnel formula: Af.
A patient could receive up to 300 days paid-for nursing home care under a `` unit formula '' allowing more of such care for those who use none or only part of the hospital-care credit.
The new formula for filling staff positions in the Secretariat is one of a number of recommendations made by a panel of eight in a long and detailed report.
A formula to supply players for the new Minneapolis Vikings and the problem of increasing the 1961 schedule to fourteen games will be discussed by National Football League owners at a meeting at the Hotel Warwick today.
for and P
It is clear that each vector in the range of Af is in Af for if **ya is in the range of Af, then Af and so Af because Af is divisible by the minimal polynomial P.
In the primary decomposition theorem, it is not necessary that the vector space V be finite dimensional, nor is it necessary for parts ( A ) and ( B ) that P be the minimal polynomial for T.
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
Ten students act as managers for a high-school football team, and of these managers a proportion P are licensed drivers.
" Historian Donald described the speech as a " superb political move for an unannounced candidate, to appear in one rival's ( William H. Seward ) own state at an event sponsored by the second rival's ( Salmon P. Chase ) loyalists, while not mentioning either by name during its delivery.
Since P was never asserted as the only sufficient condition for Q, other factors could account for Q ( while P was false ).
In number theory, if P ( n ) is a property of positive integers, and if p ( N ) denotes the number of positive integers n less than N for which P ( n ) holds, and if
( see limit ), then we say that " P ( n ) holds for almost all positive integers n " ( formally, asymptotically almost surely ) and write
The length of the description is just the length of P as a character string, multiplied by the number of bits in a character ( e. g. 7 for ASCII ).
The best presentation of the case for Ambrose is by P. A. Ballerini in his complete edition of that father's works.
Conversely, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.
for and .
His plans and dreams had revolved around her so much and for so long that now he felt as if he had nothing.
It must have hurt her even to walk, for the sole was completely off her left foot and Morgan saw that it was bruised and bleeding.
He hadn't shaved for several weeks, his sparse beard giving his face a pathetic, woebegone expression.
He knew who was riding after him -- the men he had known all his life, the men who had worked for him, sworn their loyalty to him.
There's bound to be someone on guard, but the hat might fool them long enough for me to get close ''.
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