The completeness of the connections provide that, for N people, there are Af lines of communication between the pairs, which can become a large number ( 1,225 ) for a party of fifty guests.

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.

Such items recall the California journalist who reported an accident involving a movie star: `` The area in which Miss N -- was injured is spectacularly scenic ''.

For example, to move ( as the score requires ) from the lowest F-major register up to a barely audible N minor in four seconds, not skipping, at the same time, even one of the 407 fingerings, seems a feat too absurd to consider, and it is to the flautist's credit that he remained silent throughout the passage.

The approximate equation is Af, where N is the number of Af with electron line-density greater than or equal to Af, and Q is proportional to the mass of the meteorite.

Therefore, N is inversely proportional to the radius cubed and in fair agreement with the inverse 7/2 power derived from 1958 Alpha and 1959 Eta data.

Let N be a linear operator on the vector space V.

We say that N is nilpotent if there is some positive integer R such that Af.

Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

The diagonalizable operator D and the nilpotent operator N are uniquely determined by ( A ) and ( B ) and each of them is a polynomial in T.

We have just observed that we can write Af where D is diagonalizable and N is nilpotent, and where D and N not only commute but are polynomials in T.

hence they commute with D and with N.

for, using the fact that N and N' commute Af and so when R is sufficiently large every term in this expression for Af will be 0.

Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.

These operators D and N are unique and each is a polynomial in T.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

If Af denotes the space of N times continuously differentiable functions, then the space V of solutions of this differential equation is a subspace of Af.

Each of the N trials is either a success or a failure.

Each performance of an n-trial binomial experiment results in some whole number from 0 through N as the value of the random variable X, where Af.

We shall find a formula for the probability of exactly X successes for given values of P and N.

Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.

Some predictions had been made concerning factors R, N, I and Co on these inventories which appeared to be directly related to control and security aspects of personality functioning which were hypothesized as being of importance in differential Kohnstamm reactivity.

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

: p ( N )/ N → 1 as N → ∞

N. p., 26 Nov. 1997.

N. p., n. d.

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

* Algirdas Girininkas ( 1994 ) " The monuments of the Stone Age in the historical Baltic region ", in: Baltų archeologija, N. 1, 1994 ( English summary, p. 22 ).

* Fojut, N. ( 1982 ) Towards a Geography of Shetland Brochs, Glasgow Archaeological Journal, v. 9, p. 38-59, ISSN 0305-8980

: This term is used both for conventional p – n diodes used to monitor temperature due to their varying forward voltage with temperature, and for Peltier heat pumps for thermoelectric heating and cooling .. Peltier heat pumps may be made from semiconductor, though they do not have any rectifying junctions, they use the differing behaviour of charge carriers in N and P type semiconductor to move heat.

* Niemi, Tina M., Ben-Avraham, Z., and Gat, J., eds., 1997, The Dead Sea: The Lake and Its Setting: N. Y., Oxford University Press, 286 p.

Given a subset X of a manifold M and a subset Y of a manifold N, a function f: X → Y is said to be smooth if for all p in X there is a neighborhood of p and a smooth function g: U → N such that the restrictions agree ( note that g is an extension of f ).

N. p., n. d.

* Édouard Schuré, The Great Initiates: A Study of the Secret History of Religions ( 1889 ), Blauvelt ( N. Y .): Garber Books, 1992, 480 p. “ Rama, Krishna, Hermes, Moses, Orpheus, Pythagoras, Plato, and Jesus .”

This ring is a field because it contains a multiplicative inverse for each element N other than zero ( an integer that, multiplied by the element modulo p yields 1 ), and it has a finite number of elements ( p ), making it a finite field.

N. p., n. d.

* A. N. I. M. A. L., an Argentinian heavy metal band

* Dupuy, Trevor N., Curt Johnson, and David L. Bongard.

* Fjeldså, J., & N. Krabbe ( 1990 ).

22 ' N., long.

From the U. S., many airlines now fly to Juan N. Álvarez International Airport year-round.

" The project, later called the Mills Commission, concluded that " Base Ball had its origins in the United States " and " the first scheme for playing baseball, according to the best evidence available to date, was devised by Abner Doubleday at Cooperstown, N. Y., in 1839.

* Grayson, Albert Kirk ( 1975 ): Assyrian and Babylonian Chronicles ( ABC ), Locust Valley, N. Y., Augustin ; reed.

* Augros, Robert M., Stanciu, George N., The New Story of Science: mind and the universe, Lake Bluff, Ill .: Regnery Gateway, c1984.

In the case of parallelization, Amdahl's law states that if P is the proportion of a program that can be made parallel ( i. e., benefit from parallelization ), and ( 1 − P ) is the proportion that cannot be parallelized ( remains serial ), then the maximum speedup that can be achieved by using N processors is

* Tobin, Paul N., 2000, " Is the Universe Fine-Tuned for Life?

After Davy Force signed with Chicago, and then breached his contract to play in Boston, Hulbert became discouraged by the " contract jumping " as well as the overall disorganization of the N. A., and thus spearheaded the movement to form a stronger organization.

* Knoppers, Gary N., 1 Chronicles: A New Translation with Introduction and Commentary, 2 volumes.

* Watson, G. N., A Treatise on the Theory of Bessel Functions, Second Edition, ( 1995 ) Cambridge University Press.

Findlay, J. N., trans.

* Filipowicz, N., and S. S. Renner: " The worldwide holoparasitic Apodanthaceae confidently placed in the Cucurbitales by nuclear and mitochondrial gene trees ".

* McKeeman, William Marshall ; Horning, James J .; Wortman, David B., A Compiler Generator, Englewood Cliffs, N. J.: Prentice-Hall, 1970.

* Hulsewé, A. F. P. and Loewe, M. A. N., eds.

where A ∈ N ( i. e., A is a single nonterminal ), α, β ∈ ( N U Σ )* ( i. e., α and β are strings of nonterminals and terminals ) and γ ∈ ( N U Σ )< sup >+</ sup > ( i. e., γ is a nonempty string of nonterminals and terminals ).