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.

According to William Burt, in his notes to Dartmoor, a Descriptive Poem by N. T. Carrington ( 1826 ), the original tomb consisted of a pedestal of three steps, the lowest of which was built of four stones each six feet long and twelve inches square.

Two English translations of the Various History, by Fleming ( 1576 ) and Stanley ( 1665 ) made Aelian's miscellany available to English readers, but after 1665 no English translation appeared, until three English translations appeared almost simultaneously: James G. DeVoto, Claudius Aelianus: Ποιϰίλης Ἱοτορίας (" Varia Historia ") Chicago, 1995 ; Diane Ostrom Johnson, An English Translation of Claudius Aelianus ' " Varia Historia ", 1997 ; and N. G. Wilson, Aelian: Historical Miscellany in the Loeb Classical Library.

For example, N < sub > 2 </ sub >, with eight electrons in bonding orbitals and two electrons in antibonding orbitals, has a bond order of three, which constitutes a triple bond.

Outside the United States, makers of musical saws include Sandvik in Sweden, makers of the limited edition Stradivarius, Alexis in France, which produces a toothless saw, " La Lame Sonore ", with a range of three and a half octaves ( Patent: N ° E31975 ), and Thomas Flinn & Company in the United Kingdom, based in Sheffield, who produce three different sized musical saws, as well as accessories.

Again consider a group of N atoms, this time with each atom able to exist in any of three energy states, levels 1, 2 and 3, with energies E < sub > 1 </ sub >, E < sub > 2 </ sub >, and E < sub > 3 </ sub >, and populations N < sub > 1 </ sub >, N < sub > 2 </ sub >, and N < sub > 3 </ sub >, respectively.

The Samoa Tripartite Convention, a joint commission of three members composed of Bartlett Tripp for the United States, C. N. E. Eliot, C. B.

For example, in a reaction that forms ammonia ( NH < sub > 3 </ sub >), exactly one molecule of nitrogen ( N < sub > 2 </ sub >) reacts with three molecules of hydrogen ( H < sub > 2 </ sub >) to produce two molecules of NH < sub > 3 </ sub >:

Talking for more than three hours, he denied possessing any weapons of mass destruction, or any other weapons prohibited by U. N. guidelines.

As of February 2011, congregations in the United States totaled 1, 018, and 1, 046 when including two congregations in the U. S. Virgin Islands, 19 in Canada, six in other countries, plus 28 multi-denominational congregations affiliated with the UUA: 17 in Mass., four in Ill., three in N. H., two in Vt., and one each in Me.

This can be combined with a potassium fertilizer to produce a compound fertilizer with all three N: P: K: plant nutrients in easily dissolved form.

The most complete is the York cycle of forty-eight pageants ; there are also the Towneley plays of thirty-two pageants, once thought to have been a true ' cycle ' of plays acted at Wakefield ; the Ludus Coventriae ( also called the N Town plays " or Hegge cycle ), now generally agreed to be a redacted compilation of at least three older, unrelated plays, and the Chester cycle of twenty-four pageants, now generally agreed to be an Elizabethan reconstruction of older medieval traditions.

According to a famous 1923 textbook Thermodynamics and the Free Energy of Chemical Substances by the American chemist Gilbert N. Lewis and the American physical chemist Merle Randall, the natural sciences contain three great branches:

Therefore, the convex hull of a set X of three or more points in the plane is the union of all the triangles determined by triples of points from X, and more generally in N-dimensional space the convex hull is the union of the simplices determined by at most N + 1 vertices from X.

Performers, including Def Leppard, Robert Plant, Guns N ' Roses, Elton John, David Bowie, George Michael, Annie Lennox, Seal, Extreme, and Metallica performed various Queen songs along with the three remaining Queen members.

The second half of the concert featured the three remaining Queen members-John Deacon ( on bass ), Brian May ( on guitar ) and Roger Taylor ( on drums )-along with guest singers and guitarists, including Elton John, Roger Daltrey ( of The Who ), Tony Iommi ( of Black Sabbath ), David Bowie, Mick Ronson ( of Spiders from Mars ), James Hetfield ( of Metallica ), George Michael, Seal, Paul Young, Annie Lennox, Lisa Stansfield, Robert Plant ( of Led Zeppelin ), Joe Elliott and Phil Collen ( of Def Leppard ), Axl Rose and Slash ( of Guns N ' Roses ), Liza Minnelli, and others.

" The Sea " ( in three volumes covering physical oceanography, seawater and geology ) edited by M. N.

The three species of small waterfowl in the genus Nettapus are named " pygmy geese ", e. g. the Cotton Pygmy Goose ( N. javanica ).

Of the regional control centers, three were DCA-Far East ( North Camp Drake, N Tokyo Japan ), DCA-KOR, Seoul, Korea and DCA Philippines.

The second animated series introduced three new regular characters: the Normanmeyers ( Norman, Normina, and N. J .), a family of " normal " people living across the street from the Addamses.

Following are several forms of Schrödinger's equation for different situations: time independence and dependence, one and three spatial dimensions, and one and N particles.

On 12 May 1997, as Laurent-Désiré Kabila's Alliance of Democratic Forces for the Liberation of Congo rebels were advancing on Gbadolite, Mobutu had the remains flown by cargo plane from his mausoleum to Kinshasa where they waited on the tarmac of N ' djili Airport for three days.