Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.

Work-outs for the week are as follows: Plain Scotch, 3 ( by Scotch Victor ), Demon Law, 3 ( by Demon Hanover ), Coffee Royal, p ( by Royal Blackstone ) and Beauty Way, p, 3 ( by Demon Hanover ) in 25 ; ;

Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.

Note that we need not know the value of p, for the experiment to be binomial.

He also offers a conversion table ( see Cohen, 1988, p. 283 ) for eta squared ( η < sup > 2 </ sup >) where 0. 0099 constitutes a small effect, 0. 0588 a medium effect and 0. 1379 a large effect.

The natural allegiance and obedience is an incident inseparable to every subject, for as soon as they are born they owe by birthright allegiance and obedience to the Sovereign ( Ex p. Anderson ( 1861 ) 3 E & E 487 ).

::::::::::::- Christie wishing for an earlier exposure to Archaeology, a passage from An Autobiography ( 1984 ), p. 546

Since p ( x ) is irreducible, this means that p ( x ) = k ( x − a ), for some k ∈ F

In number theory, if P ( n ) is a property of positive integers, and if p ( N ) denotes the number of positive integers n less than N for which P ( n ) holds, and if

Under Ambrose's major influence, emperors Gratian, Valentinian II and Theodosius I carried on a persecution of Paganism .< ref name = " MacMullen1984p100 "> MacMullen ( 1984 ) p. 100: ‘ The law of June 391, issued by Theodosius [...] was issued from Milan and represented the will of its bishop, Ambrose ; for Theodosius — recently excommunicated by Ambrose, penitent, and very much under his influence < sup > 43 </ sup > — was no natural zealot.

Chinese languages treat these two phones differently ; for example in Mandarin, ( written b in Pinyin ) and ( written p ) contrast phonemically.

Then, p < sup > 2 </ sup > is the fraction of the population homozygous for the first allele, 2pq is the fraction of heterozygotes, and q < sup > 2 </ sup > is the fraction homozygous for the alternative allele.

His key contributions include topological tensor products of topological vector spaces, the theory of nuclear spaces as foundational for Schwartz distributions, and the application of L < sup > p </ sup > spaces in studying linear maps between topological vector spaces.

Since 1990, AIX has served as the primary operating system for the RS / 6000 series ( later renamed IBM eServer pSeries, then IBM System p, and now IBM Power Systems ).

Model theory generalizes the notion of algebraic extension to arbitrary theories: an embedding of M into N is called an algebraic extension if for every x in N there is a formula p with parameters in M, such that p ( x ) is true and the set

Ackermann's three-argument function,, is defined such that for p = 0, 1, 2, it reproduces the basic operations of addition, multiplication, and exponentiation as

Ackermann's original three-argument function is defined recursively as follows for nonnegative integers m, n, and p:

Its spectral type is A0p ; the " p " stands for peculiar, as the spectrum of its light is characteristic of an Alpha2 Canum Venaticorum variable.

* For a finite field of prime order p, the algebraic closure is a countably infinite field which contains a copy of the field of order p < sup > n </ sup > for each positive integer n ( and is in fact the union of these copies ).

Algeria has always been a source of inspiration for different painters who tried to immortalize the prodigious diversity of the sites it offers and the profusion of the facets that passes its population, which offers for Orientalists between the 19 < sup > th </ sup > century and the 20 < sup > th </ sup > century, a striking inspiration for a very rich artistic creation like Eugène Delacroix with his famous painting women of Algiers in their apartment or Etienne Dinet or other painters of world fame like Pablo Picasso with his painting women of Algiers, or painters issued from the Algiers school.

The " space " character had to come before graphics to make sorting easier, so it became position 20 < sub > hex </ sub >; for the same reason, many special signs commonly used as separators were placed before digits.

To keep options available for lower case letters and other graphics, the special and numeric codes were arranged before the letters, and the letter " A " was placed in position 41 < sub > hex </ sub > to match the draft of the corresponding British standard.

A number of non-Greek etymologies have been suggested for the name, The form Apaliunas (< sup > d </ sup >) is attested as a god of Wilusa in a treaty between Alaksandu of Wilusa and the Hittite great king Muwatalli II ca 1280 BCE.

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

The species that gains the electron pair is the Lewis acid ; for example, the oxygen atom in H < sub > 3 </ sub > O < sup >+</ sup > gains a pair of electrons when one of the H — O bonds is broken and the electrons shared in the bond become localized on oxygen.

The stronger of two acids will have a higher K < sub > a </ sub > than the weaker acid ; the ratio of hydrogen ions to acid will be higher for the stronger acid as the stronger acid has a greater tendency to lose its proton.

It was to provide a safe and spacious crossing for these caravans, and also to make a pleasance for the city, that Shah Abbas 2, in about 1657 built, of sun-baked brick, tile, and stone, the present bridge.

We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.

In any social system in which communications have an importance comparable with that of production and other human factors, a point like f in Figure 2 would ( other things being equal ) be the dwelling place for the community leader, while e and h would house the next most important citizens.

The attack started on October 2, 1643, and the Gortonists held out for a day and a night.

At the end of World War 2,, free Europe was ready for a new beginning.

after completing the payments prescribed by paragraphs ( 2 ) and ( 3 ) of this subsection, to make payments, from time to time in ratable proportions, on account of the unpaid principal of all awards in the principal amount of more than $1,000, according to the proportions which the unpaid principal of such awards bear to the total amount in the fund available for distribution at the time such payments are made ; ;

Though the number of people flowing in and out of our metropolitan areas each day has increased tremendously since World War 2,, total annual rail commutation dropped 124 million for 1947 to 1957.

In order to assist the States in maintaining basic vocational rehabilitation services, Section 2 of the amended Act provides that allotments to States for support of such services be based on ( 1 ) need, as measured by a State's population, and ( 2 ) fiscal capacity, as measured by its per capita income.

With a spare battery, a source of light for 2 weeks or more would be assured.

In the event the total of rupees accruing to the Government of the United States of America as a consequence of sales made pursuant to this Agreement is different from the rupee equivalent of $1,276 million, the amounts available for the purposes specified in paragraph 1, Article 2, will be adjusted proportionately.

With respect to Article 2,, paragraphs 1 ( B ) and 1 ( C ): Uses of Section 104 ( E ) and Section 104 ( G ) rupees: The Government of India will use the amount of rupees granted or loaned to it by the United States pursuant to paragraphs 1 ( B ) and 1 ( C ) for projects to promote economic development with emphasis upon the agricultural sector including food reserve storage structures and facilities as may from time to time be agreed upon by the authorized representatives of the United States and the authorized representatives of the Government of India, in the following sectors: A.

The Government of India further agrees in cooperation with the Government of the United States, to coordinate the use of grant and loan funds provided for in paragraphs 1 ( B ) and 1 ( C ) of Article 2, with such direct dollar assistance as may be made available by the Government of the United States of America, so that both sources of financing may be channeled to specific and clearly identifiable economic development programs and projects.

It is agreed that any goods delivered or services rendered after the date of this agreement for projects within categories A, B, and C under paragraph 2 above which may later be approved by the United States will be eligible for financing from currency granted or loaned to the Government of India.

Local currency will be advanced or reimbursed to the Government of India for financing agreed projects under paragraphs 1 ( B ) and 1 ( C ) of Article 2, of the Agreement upon the presentation of such documentation as the United States may specify.

The Government of India shall maintain or cause to be maintained books and records adequate to identify the goods and services financed for agreed projects pursuant to paragraphs 1 ( B ) and 1 ( C ) of Article 2, of the Agreement, to disclose the use thereof in the projects and to record the progress of the projects ( including the cost thereof ).

Class 2, stations operating on clear channels are required to cease operation or operate under nighttime restrictions beginning either at local sunset ( for daytime class 2, stations ) or sunset at the location of the dominant class 1, station where located west of the class 2, station ( for limited-time class 2, stations ).