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.

State v. Erickson, 574 P. 2d 1 ( Alaska 1978 ).

* Cox, P. N. Shams, G. C. Jahn, P. Erickson and P. Hicks.

A. Tambussi, C. P. Noriega, J. I. Erickson, G. M. & Ketcham, R. A.

Erickson and Art Olsen of the P. N.

Erickson also hosts a weekday radio show on WSB ( AM ) from 6 P. M .– 9 P. M.

Cruz was endorsed by David Barton, founder and president of WallBuilders ; the Club for Growth, a conservative political action committee ; Erick Erickson, editor of prominent conservative blog RedState ; the FreedomWorks for America super PAC ; Princeton University professor Robert P. George ; nationally syndicated radio host Mark Levin ; former Attorney General Edwin Meese ; Tea Party Express ; Young Conservatives of Texas ; and U. S. Senators Jim DeMint, Mike Lee, Rand Paul, and Pat Toomey.

The group came together when Rimer was working at a music store and discovered he had quite a bit in common musically with a customer, Erickson, who had come to purchase a P. A.

Miguel de Benavides, O. P., Spanish clergyman and sinologist ( b. 1552 )

David P. Forsythe wrote: " Of particular significance in Southeast Asia were the incursions of Moro raiders in the southern Philippines who may have captured around 2 million slaves in the first two centuries of Spanish rule after 1565.

The most important places of Spanish hip hop, apart from Madrid ( with a very important contribution from CPV, Duo Kie, Chojin Fresh Boy, Chirie Vegas, Costa, Yako Muñoz, Xcese, Primer Dan, Mitsuruggy, Darmo ), are Barcelona ( 7 Notas 7 Colores, Kunta K, Wario, ARG, Christian Crisis ), Valencia ( Johnny Doc, Àngel, Jackobo Hernández ), Asturias ( Johnny Fontane, Gee Malee, Urban P .) and Málaga ( Hablando en Plata Squad, Elphomega, Triple XXX, Jefe de la M ).

* 1830 ’ s, James Bowie and Rezin P. Bowie, scour the San Saba valley seeking a silver mine that the Spanish had believed to be in the area.

King marched through the streets with a portrait of the Confederate General P. G. T. Beauregard The route of the Old Spanish Trail and was arrested by a U. S. Marshal.

Cueva de las Manos ( Spanish for Cave of the Hands ) in the Santa Cruz province in Argentina Cueva de las Manos ( Spanish for " Cave of the Hands ") is a cave located in the province of Santa Cruz, Argentina, 163 km ( 101 mi ) south from the town of Perito Moreno, within the borders of the Francisco P. Moreno National Park, which includes many sites of archaeological and paleontogical importance.

The P ' urhépecha, normally spelled Purépecha in Spanish and in English and traditionally referred to as Tarascans, are an indigenous people centered in the northwestern region of the Mexican state of Michoacán, principally in the area of the cities of Uruapan and Pátzcuaro.

A legend relates of a 16 – 17 year old Princess Erendira of the P ' urhépecha, who led her people into a fierce war against the Spanish.

Tzintzuntzan was the capital of the P ’ urhépecha ( or Tarasco ) Empire when the Spanish arrived in the 1520s.

The main Spanish document is called the Relación de Michoacán, written by Jerónimo de Alcalá based on what he was told by the P ’ urhépecha elite in 1539.

Tzintzuntzan was made the first capital of the new Spanish province of Mechoacan or Michoacán in the 1520s, and Franciscan friars arrived here to evangelize the P ’ urhépecha people.

* P. v. sharpei, which breeds in the Iberia north to the Spanish side of the western and central Pyrenees and south Roussillon, has upperparts like karelini but black on the head is limited to the moustachial stripe and lores ; the red stripe on males has only a narrow black border

The scientific name seems to have been influenced by a fusion of ancient names for these plants: common tormentil P. erecta was known as tormentilla in medieval Latin, derived from early Spanish – literally " a little torment ", meaning pain that while not debilitating is unpleasant and persistent ( such as a belly ache, against which P. erecta was used ).

The 2nd and 10th Infantry regiments of the 2nd Brigade were ordered by the brigade commander, Col. E. P. Pearson, to advance towards the Spanish lines.

Plantago seed, known commercially as black, French, or Spanish psyllium, is obtained from P. psyllium L., also known as P. arenaria.

Architect George P. Turner designed many of the new homes in the Spanish Colonial Revival architecture | Colonial Revival style, which had become fashionably linked with the glamor of Hollywood, California in the early days of the motion picture industry there.

Red triangle with a letter: " B " ( Belgier, Belgians ), " F " ( Franzosen, French ), " H " ( Holländer, Dutch ), " I " ( Italiener, Italians ), " J " ( Jugoslawen, Yugoslavs ), " N " ( Norweger, Norwegian ), " P " ( Polen, Poles ), " S " ( Republikanische Spanier, Republican Spanish ) " T " ( Tschechen, Czechs ), " U " ( Ungarn, Hungarians ).

* Socorro Rojo del P. O. U. M., a Spanish aid society during the 1930s civil war

In July 2012, Dr Alice Storey et al announced a study using mitochondrial DNA recovered from ancient bones from Europe, Thailand, the Pacific and Chile, and from Spanish colonial sites in Florida and the Dominican Republic, in directly dated samples originating in Europe at 1000 B. P.

Historian Doyce P. Nunis has said that the Spanish named it " El Pueblo de la Reyna de los Angeles " (" The Town of the Queen of the Angels ").

Munio of Zamora, O. P., ( Zamora, 1237-Rome, 1300 ) was a Spanish Dominican friar who became the seventh Master General of the Dominican Order in 1285, and later a bishop.