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. Bearman et al., Leiden: Brill, 1960-2005.

P. Curtis, Steschoros's Geryoneis, Brill, 2011.

* Sebastian R. P. Gertz: Death and Immortality in Late Neoplatonism: Studies on the Ancient Commentaries on Plato's Phaedo, Leiden: Brill, 2011.

P. Schafer and M. Cohen ), Leiden: Brill 1998: 383-408

In episode 3001, the music number " Bad Wolf " showed that the Big Bad Wolf ( performed by David Rudman ) with his family which consists of his mother Big Glad Wolf ( performed by Louise Gold ), his father Well-Clad Wolf ( performed by Jerry Nelson ), his brother Big Rad Wolf ( performed by Joey Mazzarino ), his sister Big Sad Wolf ( performed by Camille Bonora ), his aunt Big Grad Wolf ( performed by Fran Brill ), and his uncle Big Mad Wolf ( performed by Martin P. Robinson ).

* John P. Entelis, Pluralism and party transformation in Lebanon: Al-Kata ' ib, 1936-1970, E. J. Brill, Leiden 1974.

* Sohail Inayatullah, Understanding P. R. Sarkar: The Indian Episteme, Macrohistory and Transformative Knowledge, Brill Academic Publishers, 2002, ISBN 90-04-12842-5.

* Gertz, Sebastian R. P. Death and Immortality in Late Neoplatonism: Studies on the Ancient Commentaries on Plato's Phaedo, Leiden: Brill, 2011.

* J. van Ruiten, " The Four Rivers of Eden in the Apocalypse of Paul ( Visio Pauli ): The Intertextual Relationship of Genesis 2: 10 – 14 and the Apocalypse of Paul 23: 4 ," in García Martínez, Florentino, and Gerard P. Luttikhuizen ( edd ), Jerusalem, Alexandria, Rome: Studies in Ancient Cultural Interaction in Honour of A. Hilhorst ( Leiden, Brill, 2003 ).

P. Bearman et al., Leiden: Brill, 1960-2005.

S. E. Porter, P. Joyce, and D. E. Orton ), Leiden: E. J. Brill 1995, pp. 3-15.

J. J. Collins and P. W. Flint ), Leiden: Brill 2001, vol.

* Sohail Inayatullah, Understanding P. R. Sarkar: The Indian Episteme, Macrohistory and Transformative Knowledge, Brill Academic Publishers, 2002, ISBN 90-04-12842-5.

* Elena E. Kuz ' mina, The Origin of the Indo-Iranians, Volume 3, edited by J. P. Mallory, Brill NV, Leiden, The Netherlands 2007

* Alexander, FM The Use of the Self, E. P. Dutton ( New York, 1932 ), republished by Orion Publishing, 2001, ISBN 0-7528-4391, ISBN 978-0-7528-4391-9

* Stevens, P. F. ( 2001 onwards ).

P. G. Walsh, ( Oxford World's Classics ), 2001.

* Bix, Herbert P. ( 2001 ).

Lovecraft's poetry is collected in The Ancient Track: The Complete Poetical Works of H. P. Lovecraft ( Night Shade Books, 2001 ), while much of his juvenilia, various essays on philosophical, political and literary topics, antiquarian travelogues, and other things, can be found in Miscellaneous Writings ( Arkham House, 1989 ).

* Schroeder-Heister, P. " Popper, Karl Raimund ( 1902 – 94 )," International Encyclopedia of the Social & Behavioral Sciences, 2001, pp. 11727 – 11733. Abstract.

Campbell & J .- P. Latouche, PUF, Paris, 2001

* Greenough, P. M., ( 2001 ) " ," American Philosophical Quarterly 38:

* Landau, Sidney ( 2001 ) Dictionaries: The Art and Craft of Lexicography, Cambridge U. P.

* Daniel P. Friedman, Mitchell Wand, Christopher T. Haynes: Essentials of Programming Languages, The MIT Press 2001.

* General John P. Jumper, Chief of Staff of the United States Air Force from 2001 to 2005

* For essays exploring the relation of process thought to Wesleyan theology, see Bryan P. Stone and Thomas Jay Oord, Thy Nature and Thy Name is Love: Wesleyan and Process Theologies in Dialogue ( Nashville: Kingswood, 2001, ISBN 0-687-05220-3 ).

* Barford, P. M. 2001.

* P. M. Barford, The Early Slavs: Culture and Society in Early Medieval Eastern Europe, British Museum Press, London 2001, ISBN 978-0-7141-2804-7

John P. O ' Neill was a counter-terrorism expert and the Assistant Director of the FBI until late 2001.

Timothy James " Tim " McVeigh ( April 23, 1968 – June 11, 2001 ) was an American domestic terrorist who detonated a truck bomb in front of the Alfred P. Murrah Federal Building in Oklahoma City on April 19, 1995.

* Moreland, J. P. ( 2001 ).

* Herbert McCabe, O. P., UK ( 1926 – 2001 )

* Skidmore, T., Smith, P. – Modern Latin America ( 5th edition ), ( 2001 ) New York: Oxford University Press

* Ucbasaran, D., Westhead, P., and Wright, M., ( 2001 ).

Authors Kenneth C. Laudon and Jane P. Laudon ( 2001 ) of Management Information Systems: Managing the Digital Firm 10th ed.

Gilbert, O. P., " Religious life: early medieval " in Lynch ( 2001 ).

Gilbert, O. P., " Conversion to Christianity " in Lynch ( 2001 ).

This continued until the school's eighth director, Robin P. Swan ( 1998 – 2001 ) changed the monograph requirement back to one " in the face of multiple and competing requirements ".

* de Boer, Jelle Zeilinga, Jeffrey P. Chandon & John Rigby Hale, " New Evidence for the Geological Origins of the Ancient Delphic Oracle ," Geology 29. 8, 707-711 ( 2001 )