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 club signed 3B Troy Glaus, P Russ Ortiz, SS Royce Clayton, and 2B Craig Counsell, among others.

*, P. H. Craig, System and apparatus employing the Hall effect

*" Observation of Perfect Potential Flow in Superfluid ", Paul P. Craig and John R. Pellam ( 1957 ) Physical Review 108 ( 5 ), pp. 1109 – 1112, – Experiments under superfluidity conditions, resulting in the vanishing of lift in inviscid flow since the Kutta condition no longer is satisfied.

A graphic novel adaptation, published in 2008, was illustrated by P. Craig Russell and lettered by Todd Klein.

The novel was later adapted into a 4-issue miniseries by P. Craig Russell.

Neil Gaiman announced at Comic-Con 2007 that P. Craig Russell will adapt the story into comics form.

Adapted by P. Craig Russell.

Also, The Sandman and its spin-offs have won 26 Eisner Awards, including three for Best Continuing Series, one for Best Short Story, four for Best Writer ( Neil Gaiman ), seven for Best Lettering ( Todd Klein ), and two for Best Penciller / Inker ( one each for Charles Vess and P. Craig Russell ).

* P. Craig Russell's Jungle Book Stories ( 1997 ) collects three stories, actually adapted from The Second Jungle Book, which originally appeared between 1985 and 1996.

* P. Craig Russell-comics illustrator

* Sandman: Endless Nights ( Oct / Dec ) by Neil Gaiman with P. Craig Russell, Milo Manara, Miguelanxo Prado, Barron Storey & Dave McKean, Bill Sienkiewicz and Frank Quitely

Art plates were illustrated by William Stout, Mike Mignola, Terri Windling, Bryan Talbot, Jill Thompson, Paul Chadwick, P. Craig Russell, Mark Crilley, Elizabeth Johns, Michael Zulli, Robin Mullins, Lisa Snellings, Terry Moore, Tony DiTerlizzi, Linda Medley, Lorenzo Mattotti, Zander Cannon, Dave McKean, Jeff Smith, Trina Robbins & Steve Leialoha, Gary Gianni, Janine Johnston, Stan Sakai, Michael Kaluta, Moebius, Rebecca Guay, Geof Darrow, Brian Froud and Charles Vess.

* Craig S. Scott, Richard C. Fox, and Gordon P. Youzwyshyn.

Lewis, Ken Ham, William Lane Craig, J. P. Moreland, Ray Comfort, Kirk Cameron, Hugh Ross, Scott Hahn, and R. C.

On July 4, 1987, the San Francisco Giants acquired Dravecky, P Craig Lefferts and 3B Kevin Mitchell from the San Diego Padres for P Mark Grant, P Mark Davis and 3B Chris Brown for their pennant drive.

Philosophers working in the intersection of Thomism and analytic philosophy include: David Braine, Brian Davies OP ( Fordham ), Gabriele De Anna ( Udine ), John Finnis ( Oxford ), Peter Geach, John Haldane ( St Andrews ), Jonathan Jacobs ( Colgate ), Anthony Kenny ( Oxford ), Fergus Kerr OP ( Oxford ), Gyula Klima ( Fordham ), Norman Kretzmann, John Lamont, Anthony J. Lisska ( Denison ), Alasdair MacIntyre ( Notre Dame ), Bruce D. Marshall ( Southern Methodist Univ ), William Marshner ( Christendom ), Christopher Martin ( St Thomas, Houston ), Cyrille Michon ( Nantes, France ), Mark Murphy ( Georgetown ), Herbert McCabe, John P. O ' Callaghan ( Notre Dame ), Claude Panaccio ( UQAM ), Robert Pasnau ( CU Boulder ), Craig Paterson ( Independent Scholar ), Roger Pouivet ( Nancy, France ) Matthew S. Pugh ( Providence College ), Eleonore Stump ( Saint Louis ), Thomas Sullivan and Sandra Menssen ( University of St. Thomas, MN ), Stephen Theron, Denys Turner ( Yale ), Michael Thompson ( Pittsburgh ).

*** " Lilith " ( with P. Craig Russell, in # 50, 2004 )

These gifts helped make possible, respectively, the Jenny Craig Pavilion ( an athletic arena ), the Donald P. Shiley Center for Science and Technology, the Joan B. Kroc School of Peace Studies, and the Degheri Alumni Center.

Alternatively, an inker may do the basic layout of the page, give the work to another artist to do more detailed pencil work, and then ink the page himself ( as Joe Simon often did when inking Jack Kirby, or when Michael T. Gilbert collaborated with penciller P. Craig Russell on the Elric of Melniboné series ).

It is illustrated by Steve Bissette, Randy Broecker, Dave McKean, P. Craig Russell, Jill Carla Schwarz, Bill Sienkiewicz, Charles Vess, and Michael Zulli.

The company partnered with Berkeley Publishing to acquire the rights, and Classics Illustrated returned with new adaptations and a line-up of artists that included Kyle Baker, Dean Motter, Mike Ploog, P. Craig Russell, Bill Sienkiewicz, Joe Staton, Rick Geary, and Gahan Wilson.

** Jinx Special: " My So Called Jinx " ( with Mark Scott Ricketts, David Mack, P. Craig Russell, Adam Warren and Daniel Brereton, 1997 )