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.

Australia made a mere 63 runs in its first innings, and England, led by A. N. Hornby, took a 38-run lead with a total of 101.

" 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.

The first person to describe the mathematics behind Brownian motion was Thorvald N. Thiele in a paper on the method of least squares published in 1880.

N ' ko came first into use in Kankan, Guinea as a Maninka alphabet and disseminated from there into other Mande-speaking parts of West Africa.

O atoms are red balls, N atoms are blue, and H atoms are omitted for simplicity ; sidechains are shown only out to the first sidechain C atom ( green ).

Under the administration of Félix Éboué, France's first black colonial governor, a military column, commanded by Colonel Philippe Leclerc de Hauteclocque, and including two battalions of Sara troops, moved north from N ' Djamena ( then Fort Lamy ) to engage Axis forces in Libya, where, in partnership with the British Army's Long Range Desert Group, they captured Kufra.

The first was the 1923 textbook Thermodynamics and the Free Energy of Chemical Substances by Gilbert N. Lewis and Merle Randall.

In dovetailing fashion, all programs of all lengths are run, until enough have halted to jointly contribute enough probability to match these first N bits.

If the program hasn't halted yet, then it never will, since its contribution to the halting probability would affect the first N bits.

* Pauli Murray ( 1933 ), first African-American woman named an Episcopal priest ; human rights activist ; lawyer and co-founder of N. O. W

The first SEZ should come into being in 2012 in N ' Sele, a commune of Kinshasa, and will focus on agro-industries.

Each of the columns from 3 to N is set to a value derived from the first and higher derivatives of the polynomial.

In the first step, the final nonzero remainder r < sub > N − 1 </ sub > is shown to divide both a and b. Since it is a common divisor, it must be less than or equal to the greatest common divisor g. In the second step, it is shown that any common divisor of a and b, including g, must divide r < sub > N − 1 </ sub >; therefore, g must be less than or equal to r < sub > N − 1 </ sub >.

To demonstrate that r < sub > N − 1 </ sub > divides both a and b ( the first step ), r < sub > N − 1 </ sub > divides its predecessor r < sub > N − 2 </ sub >

Since the first part of the argument showed the reverse ( r < sub > N − 1 </ sub > ≤ g ), it follows that g = r < sub > N − 1 </ sub >.

where N is the number of full moons since the first full moon of 2000.

Israel was one of the first to welcome the FSM into the family of nations, even before the FSM became a member of the U. N.

Wells also wrote the preface for the first edition of W. N. P. Barbellion's diaries, The Journal of a Disappointed Man, published in 1919.

During the siege, on 8 February 1913, the Russian pilot N. de Sackoff, flying for the Greeks, became the first pilot ever shot down in combat, when his biplane was hit by ground fire following a bomb run on the walls of Fort Bizani.

Q is similar to N in its effect: Q binds to RNA polymerase in Qut sites and the resulting complex can ignore terminators, however the mechanism is very different ; the Q protein first associates with a DNA sequence rather than an mRNA sequence.