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.

* The Strange Sound of Cthulhu: Music Inspired by the Writings of H. P. Lovecraft ( ISBN 978-1-84728-776-2 ), written by Gary Hill.

In 1999, Strange Company used Quake II in Eschaton: Nightfall, a horror film based on the work of H. P. Lovecraft.

* 1936: Strange Holiness by Robert P. T. Coffin

Alternatively, the comic book story " Mickey's Strange Mission " from Walt Disney's Comics & Stories # 245 ( 1961, by Carl Fallberg and Paul Murry ) suggests a cultured ancestry for Pete, giving his full name as the genteel Percy P. Percival.

Most significantly this included: Jane Eyre by Charlotte Brontë ; The Crucible by Arthur Miller ; The Cask of Amontillado, The Premature Burial, The Pit and the Pendulum & The Tell-Tale Heart by Edgar Allan Poe ; Frankenstein by Mary Shelley ; The Turn of the Screw by Henry James ; Nicholas Nickelby by Charles Dickens ; The Monkey's Paw by Guy de Maupaussant ; The Picture of Dorian Gray by Oscar Wilde ; The Cthulhu Mythos by H. P. Lovecraft ; Rebecca by Daphne du Maurier ; The Strange Case of Dr. Jekyll and Mr. Hyde by Robert Louis Stevenson ; The Lottery by Shirley Jackson ; Wuthering Heights by Emily Brontë.

* Pulitzer Prize for Poetry: Robert P. Tristram Coffin: Strange Holiness

* In The Strange Death of Adolf Hitler ( 1943 ), by James P. Hogan, Hitler's double ( Ludwig Donath ) becomes the target of an assassination.

Strange hoped to capture P. O. P. S.

* Chapter ten of Gary Hill's " The Strange Sound of Cthulhu: Music Inspired by the Writings of H. P.

* Strange Adventures: " P • A • R • T • N • E • R • S " ( with Sylvain Savoia, one-shot, 2011 )

* In modern times eternal recurrence was a major theme in the teachings of the Russian mystic P. D. Ouspensky whose novel Strange Life of Ivan Osokin ( first published St. Petersburg 1915 ) explores the idea that even given the free-will to alter events in one's life, the same events will occur regardless.

* Mark P. Silverman, And Yet it Moves: Strange Systems and Subtle Questions in Physics, Cambridge, 1993, Chapter 6

He has also written novels: The Strange Case of Mademoiselle P. ( 1992 ) and the 2000 Booker Prize-nominated The Deposition of Father McGreevey ( 1999 ).

* Episode 9: " The Strange Case of Joseph P. Carson "

Based on the Celtic deity, Nodens, is the creation of H. P. Lovecraft and first appeared in his short story " The Strange High House in the Mist " ( 1926 ).

P. Lovecraft, " The Strange High House in the Mist "

The two women's brother, W. R. P. Strange, had been Vicar of Stockland prior to C. W. Whistler.

He appears in Tony Salmons's limited series The Strange Adventures of H. P.

" Strange Bedfellows: J. P. Morgan & Co., Whitehall and the Wilson Administration During World War I ," Business History 1976 18 ( 2 ): 127-151