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P and .
Add holes in top, forming `` S '' for salt and `` P '' for pepper.
If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.
Since Af and P divides Af for Af, we have Af.
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.
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
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.
If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.
Ten students act as managers for a high-school football team, and of these managers a proportion P are licensed drivers.
The word `` binomial '' means `` of two names '' or `` of two terms '', and both usages apply in our work: the first to the names of the two outcomes of a binomial trial, and the second to the terms P and Af that represent the probabilities of `` success '' and `` failure ''.
The constancy of P and the independence are the conditions most likely to give trouble in practice.
Obviously, very slight changes in P do not change the probabilities much, and a slight lack of independence may not make an appreciable difference.
We shall find a formula for the probability of exactly X successes for given values of P and N.
Therefore each binomial trial can be thought of as producing a value of a random variable associated with that trial and taking the values 0 and 1, with probabilities Q and P respectively.
On C, from the point P at Af to the point Q at Af, we construct the chord, and upon the chord as a side erect a square in such a way that as S approaches zero the square is inside C.
As S increases we consider the two free corner points of the square, Af and Af, adjacent to P and Q respectively.
We again consider a fixed point P at Af and a variable point Q at Af on C.
We erect a square with PQ as a side and with free corners Af and Af adjacent to P and Q respectively.
Now with P fixed at Af, Af-values occur when the corner Af crosses C, and are among the values of S such that Af.
Moreover, if Af and Af are two planes intersecting in a line l, tangent to Q at a point P, the two free intersections of the image curves Af and Af must coincide at P', the image of P, and at this point Af and Af must have a common tangent l'.
To do this we must first show that every line which meets **zg in a point P meets its image at P.
But if this is the case, then an arbitrary pencil of lines having a point, P, of **zg as vertex is transformed into a ruled surface of order Af having Af generators concurrent at P.

P and Baumann
baumgartneriana ( B. Baumann, H. Baumann, R. Lorenz & Ruedi Peter ) P. Delforge
The successful party consisted of Leslie Stephen, F. J. Hardy, H. B. George, Liveing, Moore, and Morgan, with Christian Almer, Christian and Peter Michel, Ulrich Kauffmann, P. Baumann, and C. Bohren, as guides.
Gerd Baumann ( Oxford: Clarendon P, 1986 ).

P and N
The choice of P and N determines the binomial distribution uniquely, and different choices always produce different distributions ( except when Af ; ;
Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.
* 2012 – N. K. P. Salve, Indian politician ( b. 1921 )
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
* Slightly more generally, given four sets M, N, P and Q, with h: M to N, g: N to P, and f: P to Q, then
* Coffin, Tristram P .; Cohen, Hennig, ( editors ), Folklore in America ; tales, songs, superstitions, proverbs, riddles, games, folk drama and folk festivals, Garden City, N. Y.: Doubleday, 1966.
In the case of parallelization, Amdahl's law states that if P is the proportion of a program that can be made parallel ( i. e., benefit from parallelization ), and ( 1 − P ) is the proportion that cannot be parallelized ( remains serial ), then the maximum speedup that can be achieved by using N processors is
In the limit, as N tends to infinity, the maximum speedup tends to 1 / ( 1 − P ).
In practice, performance to price ratio falls rapidly as N is increased once there is even a small component of ( 1 − P ).

P and Moran
On the other hand, Terrence P. Moran of the NCTE has compared the use of doublespeak in the mass media to laboratory experiments conducted on rats, where a batch of rats were deprived of food, before one half was fed sugar and water and the other half a saccharine solution.
* Thomas P. Moran
* Stuart K. Card, Thomas P. Moran, Allen Newell ( 1983 ).
* Allen Garfield as William P. " Bernie " Moran
The 1983 book The Psychology of Human-Computer Interaction, which he co-wrote with Thomas P. Moran and Allen Newell, became a very influential book in the field, partly for introducing the Goals, Operators, Methods, and Selection rules ( GOMS ) framework.
* The Leader ( Irish newspaper ), a defunct Irish newspaper founded in 1900 by D. P. Moran
Sterling & Edward P. Moran m. Harry Von Tilzer
* " No Wedding Bells For Me " w. E. P. Moran & Will A. Heelan m. Seymour Furth
* Michael P. Moran as Bobby Fain
* Jeffrey P. Moran ; " The Scopes Trial and Southern Fundamentalism in Black and White: Race, Region, and Religion " Journal of Southern History.
* D. P. Moran
D. P. Moran, who founded The Leader in 1900, used the term frequently to describe those who he did not consider sufficiently Irish.
* Card, Stuart K .; Moran, Thomas P .; Newell, A .; ( 1983 ); The Psychology of Human-Computer Interaction.
In the background, the more advanced nationalist views of ideologues such as D. P. Moran had nothing to offer the Unionists.
* Michael P. Moran, American actor and playwright
* Thomas P. Moran, engineer
The cast included William Gaxton as John P. Wintergreen, Lois Moran as Mary Turner, Grace Brinkley as Diana Devereaux, Victor Moore as Alexander Throttlebottom and George Murphy as Sam Jenkins.
Developed in 1983 by Stuart Card, Thomas P. Moran and Allen Newell, it was explained in their book The Psychology of Human Computer Interaction.
* Colantuoni C, Schwenker J, McCarthy J, Rada P, Ladenheim B, Cadet JL, Schwartz GJ, Moran TH, Hoebel BG.
The 1983 book The Psychology of Human-Computer Interaction, which he co-wrote with Thomas P. Moran and Allen Newell, became a very influential book in the field, partly for introducing the Goals, Operators, Methods, and Selection rules ( GOMS ) framework.
With Thomas P. Moran and Allen Newell.
Thomas P. Moran is a Distinguished Engineer at the IBM Almaden Research Center in San Jose, California.
Throughout his life he wrote many letters to Irish newspapers, and in the late 1920s and early 1930s he was a contributor to The Leader edited by D. P. Moran.
Economic woes and a federal budget stalemate contributed to his 1990 election loss to then Alexandria mayor James P. Moran, Jr. Parris was also known for introducing a bill during his first term which prohibited the National Football League from imposing television blackouts of sold-out games.

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