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.

The family moved north across the Ohio River to free ( i. e., non-slave ) territory and made a new start in what was then Perry County but is now Spencer County, Indiana.

On February 23, 1861, he arrived in disguise in Washington, D. C., which was placed under substantial military guard.

Pr., ISBN 0-521-09456-9.

Altruism is a motivation to provide something of value to a party who must be anyone but oneself, while duty focuses on a moral obligation towards a specific individual ( e. g., a god, a king ), or collective ( e. g., a government ).

Pure altruism consists of sacrificing something for someone other than the self ( e. g. sacrificing time, energy or possessions ) with no expectation of any compensation or benefits, either direct, or indirect ( e. g., receiving recognition for the act of giving ).

Buddhism, Christianity, Hinduism, Islam, Jainism, Judaism and Sikhism, etc., place particular emphasis on altruistic morality.

" At its worst, Scheler says, " love for the small, the poor, the weak, and the oppressed is really disguised hatred, repressed envy, an impulse to detract, etc., directed against the opposite phenomena: wealth, strength, power, largesse.

These two defunct phyla were the Myxomycota ( i. e., plasmodial slime molds, now classified in the taxon Myxogastria ), and Acrasiomycota ( i. e. cellular slime molds, now divided into the taxa Acrasida and Dictyosteliida ).

Compared to earlier telegraph codes, the proposed Bell code and ASCII were both ordered for more convenient sorting ( i. e., alphabetization ) of lists and added features for devices other than teleprinters.

Artemis and Apollo Piercing Niobe's Children with their Arrows by Jacques-Louis David., Dallas Museum of Art.

* Pfeiff, K. A., 1943.

Several hundred frog species in adaptive radiations ( e. g., Eleutherodactylus, the Pacific Platymantines, the Australo-Papuan microhylids, and many other tropical frogs ), however, do not need any water for breeding in the wild.

* After the Development of Agriculture, A. D. A., system of counting years, like A. D. and A. M.

In every war of the United States since the Civil War the South was more belligerent than the rest of the country.

The other, of course, was the Civil War, the conflict which a century ago insured national unity over fragmentation.

according to many critics, in fact, the South has led the North in literature since the Civil War, both quantitatively and qualitatively.

Undoubtedly even the old Southern stalwart Richmond has felt the new wind: William Styron mentions in his latest novel an avenue named for Bankhead McGruder, a Civil War general, now renamed, in typical California fashion, `` Buena Vista Terrace ''.

The present issue in Atlantica -- whether to transform an alliance of sovereign nations into a federal union of sovereign citizens -- resembles the American one of 1787-89 rather than the one that was resolved by Civil War.

It is much less difficult now than in Lincoln's day to see that on both sides sovereign Americans had given their lives in the Civil War to maintain the balance between the powers they had delegated to the States and to their Union.

Instead of this the 1930's witnessed a tragic economic depression, the rise of Fascist dictators in Europe, the wasting Civil War in Spain.

The thoroughgoing idealization of the planter society did not come, however, until after the Civil War when Southern writers were eager to defend a way of life which had been destroyed.

Without saying or seeming to say that in portraying the Sartoris and the Compson families Faulkner's chief concern is social criticism, we can say nevertheless that through those families he dramatizes his comment on the planter dynasties as they have existed since the decades before the Civil War.

The chief literary antecedents of the Snopes clan appeared in the realistic, humorous writing which originated in the South and the Southwest in the three decades before the Civil War.

In the story of Bright and the Corn Law agitation, the Crimean War, the American Civil War, and the franchise struggle Trevelyan reflects something of the moral power which enabled this independent man to exercise so immense an influence over his fellow countrymen for so long.

A popular belief grew up after the war that the only time during the Civil War that Thomas ever put his horse to a gallop was when he went to hurry up Stanley for this assault.

The Secretary of War gave his assent after studying the history of the draft in the American Civil War as well as the British volunteer system in World War 1.

In spite of this catastrophe the final mortality figure from disease in the American Army during World War 1, was 15 per 1,000 per year, contrasted with 110 per 1,000 per year in the Mexican War, and 65 in the American Civil War.

This magnificent but greatly underestimated book, which bodies forth the very form and pressure of its time as no other comparable creation, has suffered severely from having been written about an historical event -- the Spanish Civil War -- that is still capable of fanning the smoldering fires of old political feuds.

progress, or lack of it, toward civil rights in the 50 states is reported in an impressive 689-page compilation issued last week by the United States Commission on Civil Rights.

In 1950, Public Law 920 created Civil Defense ( different from Civilian-groups of World War 2 ), a responsibility of the Government at all levels to help reduce loss of life and property in disaster, natural or manmade.

Heavily armed and mobilized as a fast-moving Civil Defense outfit, 23 operators and office personnel stand ready to move into action at a minute's notice ''.

Laudably enough, it is offering classics and off-beat imports, but last week only one U.S. original was on the boards, Robert D. Hock's stunning Civil War work, Borak.

Even before the benches had dried, the Civil War veterans were straggling back to their places.

As this year marks the centennial of the beginning of the Civil War, this fact is being commemorated with several exhibits throughout the State, but most of all paying tribute to the first Rhode Island Volunteers who rushed to the defense of the City of Washington, putting at the disposal of President Lincoln the only fully equipped and best trained regiment at this time.

The British and Canadian Liaison Officers, as well as Office of Civil and Defense Mobilization, the American Red Cross, and similar interested organizations were informed from time to time as training aids were developed.

This section prevents the military departments and the Office of Civil and Defense Mobilization from carrying out certain transactions involving real property unless they come into agreement with the Committees on Armed Services of the Senate and the House of Representatives.

At that time, during the Civil War, Union muskets were being manufactured in Providence and the drills to drill them were being hand-filed with rattail files.

During the Civil War period Mr. Brown also invented the Brown & Sharpe formed tooth gear cutter, a basic invention which ultimately revolutionized the world's gear manufacturing industry by changing its basic economics.