The second situation is illustrated by the operator T on Af ( F any field ) represented in the standard basis by Af.

It is very easy to establish by induction on R that if F is in Af then Af ; ;

Further, we see by Lemma 2 that the multiplicity of F can only change at a tangent point, and at such a point can only change by an even integer.

The revised edition by F. Campbell-Watson calls for three saxophones, alto, tenor and baritone.

In some European countries, all cultural anthropology is known as ethnology ( a term coined and defined by Adam F. Kollár in 1783 ).

For example, in one-way, or single-factor ANOVA, statistical significance is tested for by comparing the F test statistic

When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

In the middle latitudes, the area of maximum temperature variations, values may vary by 7 – 8 ° C ( 12 – 15 ° F ).

* For Ibn Sina's life, see Ibn Khallikan's Biographical Dictionary, translated by de Slane ( 1842 ); F. Wüstenfeld's Geschichte der arabischen Aerzte und Naturforscher ( Göttingen, 1840 ).

* Life After Death: A History of the Afterlife in Western Religion by Alan F. Segal, Doubleday, 2004

The tones in between are then given by 16: 9 for D, 8: 5 for E, 3: 2 for F, 4: 3 for G, 6: 5 for A, and 16: 15 for B, in ascending order.

First conceived during the Presidency of Dwight D. Eisenhower as a three-man spacecraft to follow the one-man Project Mercury which put the first Americans in space, Apollo was later dedicated to President John F. Kennedy's national goal of " landing a man on the Moon and returning him safely to the Earth " by the end of the 1960s, which he proposed in a May 25, 1961 address to Congress.

* 1975 – Bus massacre in Lebanon: An attack by the Phalangist resistance kills 26 militia members of the P. F. L.

* Opera by G. F. Händel: Agrippina

In 1968, he was cited by William F. Buckley as one of several historical figures whose best qualities would be emulated by the ideal President.

Apollodorus, The Library, with an English Translation by Sir James George Frazer, F. B. A., F. R. S.

Smiley later wrote to Johnson, saying he was ready to fight ; a potential duel was prevented by the intervention of Washington Burrow and Benjamin F. Cheatham.

* John Philoponus: On Aristotle On Coming-to-be and Perishing 1. 1-5, translated by C. J. F. Williams.

* John Philoponus: On Aristotle On Coming-to-be and Perishing 1. 6-2. 4, translated by C. J. F. Williams.

II, translated by S. F. Alleyne, pp. 321 – 394

In the film he is played by F. Murray Abraham, who won the Academy Award for Best Actor.

Her face was very thin, and burned by the sun until much of the skin was dead and peeling, the new skin under it red and angry.

He caught her by an arm and helped her into the kitchen.

It's late and you said they'd be here by dawn ''.

Gavin's stallion was in the barn and he tightened the cinches over the saddle blanket, working by touch in the darkness, comforting the animal with easy words.

Lived alone by the river.

The two horses broke from the yard, from the circle of light cast by the lamp still burning in the house, into the darkness.

It looked as Gavin had first seen it years ago, on those nights when he slept alone by his campfire and waked suddenly to the hoot of an owl or the rustle of a blade of grass in the moon's wind -- a savage land, untenanted and brooding, too strong to be broken by the will of men.

A bold line of violet broke loose from the high ridge of the mountains, followed by feathers of red that swept the last stars from the sky.

They had been seen as soon as they left the ranch, picked out of the darkness by the weary though watchful eyes of two men posted a few hundred yards away in the windless shelter of the trees.

It was pierced by a wagon gate built of two wings.

He looked at the looming hoods of the supply wagons, struck by a new inspiration.

In the brief moment I had to talk to them before I took my post on the ring of defenses, I indicated I was sickened by the methods men employed to live and trade on the river.

I saw the clergyman kneel for a moment by the twitching body of the man he had shot, then run back to his position.

It was pitiful to see the thin ranks of warriors, old and young, wheeling and twisting their ponies frantically from side to side only to be tumbled bleeding from their saddles by the relentless slam, slam of the cruelly efficient Hawkinses.

She showed her surprise by tightening the reins and moving the gelding around so that she could get a better look at his face.

Then she turned back to Wilson and smiled, and he wasn't quite sure what she meant by it.

He grabbed her by the shoulders and went down on one knee, taking her weight so that some of the wind was driven out of him.

You took me by surprise.

Her hat had come off and fallen behind her shoulders, held by the string, and he could see her face more clearly than he had at any time before.

They weren't sleeping, of course, but they thought they were doing him a favor by pretending.

He hadn't shown up too well in their eyes, letting himself be browbeaten by a woman.

They had the house cleaned up by noon, and Wilson sent the boy out to the meadow to bring in the horses.

There was an artificial lake just out of sight in the first stand of trees, fed by a half dozen springs that popped out of the ground above the hillside orchard.

only the counter at one end was lighted by a long fluorescent tube suspended directly above it.