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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 David
* Szatmary, David P. Shay's Rebellion: The Making of an Agrarian Insurrection ( 1984 ), 1787 in Massachusetts
Gail's son David Platt ( Jack P. Shepherd ) became increasingly unbalanced, with various plots and schemes.
* NASA notes by David P. Stern
* David P. Tyndall
* Other significant Lovecraft-related works are An H. P. Lovecraft Encyclopedia by Joshi and David S. Schulz ; Lovecraft's Library: A Catalogue ( a meticulous listing of many of the books in Lovecraft's now scattered library ), by Joshi ; Lovecraft at Last, an account by Willis Conover of his teenage correspondence with Lovecraft ; Joshi's A Subtler Magick: The Writings and Philosophy of H. P. Lovecraft.
David P. Wright argues that the Jewish law used Hammurabi's collection as a model, imitating both its structure and content.
* Sandgren, David P. Christianity and the Kikuyu: Religious Divisions and Social Conflict.
According to the historian David P. Chandler, the leftist Issarak groups, aided by the Viet Minh, occupied a sixth of Cambodia's territory by 1952 ; and, on the eve of the Geneva Conference, they controlled as much as one half of the country.
* Kepler and His Laws, educational web pages by David P. Stern
* Ellerman, David P. ( 1992 ) Property & Contract in Economics: The Case for Economic Democracy.
* " Exploration of the Earth's Magnetosphere ", Educational web site by David P. Stern and Mauricio Peredo
Some notable people who worked in MIPS: James Billmaier, Steve Blank, Joseph DiNucci, John L. Hennessy, David Hitz, Earl Killian, Dan Levin, John Mashey, John P. McCaskey, Bob Miller, Stratton Sclavos.
* Conner, Randy P., Sparks, David Hatfield, and Sparks, Mariya ( 1997 ), Cassell ’ s Encyclopedia of Queer Myth, Symbol and Spirit.
* Beginning in January 2000, David P. Goldman wrote a column for Asia Times Online under the pseudonym " Spengler.
In 1946, David P. Boder, a professor of psychology at the Illinois Institute of Technology in Chicago, traveled to Europe to record long interviews with " displaced persons "— most of them Holocaust survivors.
p53 was identified in 1979 by Lionel Crawford, David P. Lane, Arnold Levine, and Lloyd Old, working at Imperial Cancer Research Fund ( UK ) Princeton University / UMDNJ ( Cancer Institute of New Jersey ), and Sloan-Kettering Memorial Hospital, respectively.
Many researchers, including David Unwin, have found P. longicollum to be distinct from P. kochi and P. antiquus.
* David P. DiVincenzo ( 2000 ).
* David P. DiVincenzo ( 2000 ).
* 1972 – David Silveria, American drummer and songwriter ( KoЯn and L. A. P. D.
David P. Forsythe wrote: " In 1649 up to three-quarters of Muscovy's peasants, or 13 to 14 million people, were serfs whose material lives were barely distinguishable from slaves.
The project is run by director David P. Anderson and chief scientist Dan Werthimer.

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