Hell, they were fightin' each other so hard they had no time for anyone else.

They were silent for a little while, each looking glum.

They were headed straight for each other on a collision course.

After that, it requires several minutes of concentrated work, including six separate and deliberate actions by a minimum of three men sitting at three separate stations in a bomber, each with another man beside him to help, for an armed bomb to be released.

`` We the people of the Confederate States, each state acting in its sovereign and independent character, in order to form a permanent federal government, establish justice, insure domestic tranquility, and secure the blessings of liberty to ourselves and our posterity -- invoking the favor and the guidance of Almighty God -- do ordain and establish this Constitution for the Confederate States of America ''.

Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.

Perry Mason and Hamilton Burger, Nero Wolfe and Inspector Cramer spend more time fighting each other than they do in looking for the criminal.

In spite of the dreams of the host for oneness in the group, the Af incoming messages for each guest overload his receiving system beyond comprehension if N exceeds about six.

This arrangement was for Copernicus literally monstrous: `` With ( the Ptolemaists ) it is as though an artist were to gather the hands, feet, head and other members for his images from divers models, each part excellently drawn, but not related to a single body ; ;

Such a list must naturally be selective, and the treatment of each man is brief, for I am interested only in their general ideas on the moral measure of literature.

The brother and sister seemed to be a sort of mutual-aid society, a little fortress of kindness for each other in a hard world.

In the central contest, that for Mayor, they may have found some pertinent points in what each faction has said about the other.

The answer is different for each autistic child, but for most there is an answer.

If the railroads, for example, regularly slaughtered 25,000 passengers each year, the high priests of the cult would have cause to tremble for their personal safety, for such a holocaust would excite demands for the hanging of every railroad president in the United States.

Two things have happened in recent months to bring the Council into perspective: each provides a basis for renewed hope and joy.

I know of no other solution than the one N.C. proposes -- to do what we can for each sufferer as he confronts us, hoping that this will spread beyond him to others at some time and some place.

We hoped that its practitioners and teachers might be put on some sort of reserve list and called back for refresher courses each year or so.

Warren and White each carried, in addition to their own weapons and ammo, a box of ammo for the ROK's machine gun.

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

and for p > 2 it extends these basic operations in a way that happens to be expressible in Knuth's up-arrow notation 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 ).

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

for all r ∈ R and x, y ∈ A.

for all x ∈ A.

for all r ∈ R and x ∈ A.

Furthermore, for every a ∈ A we have that a ∧-a = 0 ∈ I and then a ∈ I or-a ∈ I for every a ∈ A, if I is prime.

Every Hilbert space X is a Banach space because, by definition, a Hilbert space is complete with respect to the norm associated with its inner product, where a norm and an inner product are said to be associated if for all x ∈ X.

If a Banach algebra has unit 1, then 1 cannot be a commutator ; i. e., for any x, y ∈ A.

Given x ∈ A, the holomorphic functional calculus allows to define ƒ ( x ) ∈ A for any function ƒ holomorphic in a neighborhood of Furthermore, the spectral mapping theorem holds:

* Consider the set K of all functions ƒ: → satisfying the Lipschitz condition | ƒ ( x ) − ƒ ( y )| ≤ | x − y | for all x, y ∈.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

for all ζ ∈ D.