Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.

The class of the congruence is Af, since an arbitrary plane meets **zg in K points.

Since the complex of singular lines is of order K and since there is no complex of invariant lines, it follows from the formula Af that the order of the involution is Af.

Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

The K factor, a term used to denote the rate of heat transmission through a material ( B.t.u./sq. ft. of material/hr./*0F./in. of thickness ) ranges from 0.24 to 0.28 for flexible urethane foams and from 0.12 to 0.16 for rigid urethane foams, depending upon the formulation, density, cell size, and nature of blowing agents used.

Table 1,, p. 394, shows a comparison of K factor ratings of a number of commercial insulating materials in common use, including two different types of rigid urethane foam.

The man most firmly at grips with the problem is the University of Minnesota's Physiologist Ancel Keys, 57, inventor of the wartime K ( for Keys ) ration and author of last year's bestselling Eat Well And Stay Well.

* in J. Barnes, M. Schofield, and R. R. K. Sorabji, eds .( 1975 ).

* Pfeiff, K. A., 1943.

The equilibrium constant K is an expression of the equilibrium concentrations of the molecules or the ions in solution.

The acid dissociation constant K < sub > a </ sub > is generally used in the context of acid-base reactions.

The stronger of two acids will have a higher K < sub > a </ sub > than the weaker acid ; the ratio of hydrogen ions to acid will be higher for the stronger acid as the stronger acid has a greater tendency to lose its proton.

Charles K. Smith argues that Swift ’ s rhetorical style persuades the reader to detest the speaker and pity the Irish.

To do this, Moseley measured the wavelengths of the innermost photon transitions ( K and L lines ) produced by the elements from aluminum ( Z = 13 ) to gold ( Z = 79 ) used as a series of movable anodic targets inside an x-ray tube.

Maj. Gen. Polk ignored the problems of Fort Henry and Fort Donelson when he took command and, after Johnston took command, at first refused to comply with Johnston's order to send an engineer, Lt. Joseph K. Dixon, to inspect the forts.

kina ( K ) per US $ 1 – 2. 7624 ( November 1999 ), 2. 520 ( 1999 ), 2. 058 ( 1998 ), 1. 434 ( 1997 ), 1. 318 ( 1996 ), 1. 276 ( 1995 )

* Fließbach K., Weber B, Trautner P, Dohmen T, Sunde U, Elger CE, Falk A .; Social Comparison Affects Reward-Related Brain Activity in the Human Ventral Striatum, Science, 2007, 318 ( 5854 ): 1305-8.

In modern performances, Mozart's Symphony No. 32, K. 318, which was composed around the same time as Zaide and later used as an overture to Francesco Bianchi's La villanella rapita ( 1784 ), is often given as an overture to Zaide.

The same model predicts the outer atmosphere has a low effective temperature of 3, 318 K, giving it the orange-red hue of an M-type star.

Critical point of fluoromethane is at 44. 9 ° C ( 318. 1 K ) and 6. 280 MPa.

Let V and W be vector spaces over the same field K. A function f: V → W is said to be a linear map if for any two vectors x and y in V and any scalar α in K, the following two conditions are satisfied:

It was based on the Malayalam novel Nammukku Graamangalil Chennu Raappaarkkaam ( Let us go and dwell in the villages ) by K. K. Sudhakaran ( 1986 ).

Let C be the category of vector spaces K-Vect over a field K and let D be the category of algebras K-Alg over K ( assumed to be unital and associative ).

Let K be a topological field, namely a field with a topology such that addition, multiplication, and division are continuous.

Let X be a topological vector space over K. Namely, X is a K vector space equipped with a topology so that vector addition and scalar multiplication are continuous.

Let N and K be normal subgroups of G, with

Let V be a vector space over a field K, and let be a quadratic form on V. In most cases of interest the field K is either R, C or a finite field.

Let the field K be the set R of real numbers, and let the vector space V be the Euclidean space R < sup > 3 </ sup >.

Let K be the set C of all complex numbers, and let V be the set C < sub > C </ sub >( R ) of all continuous functions from the real line R to the complex plane C.

Let K be R, C, or any field, and let V be the set P of all polynomials with coefficients taken from the field K.

Let K be a field ( such as the field of real numbers ), and let V be a vector space over K.

Let V be a vector space over the field K, and let W be a subset of V.

Let the field K be the set R of real numbers, and let the vector space V be the Euclidean space R < sup > 3 </ sup >.

Let K be a closed subset of a compact set T in R < sup > n </ sup > and let C < sub > K </ sub > be an open cover of K. Then

* The D. U. C. K. man

He offers to help K., and manages to unload a few identical landscape paintings on the accused man.

* The Lathe of Heaven ( 1971 ), by Ursula K. Le Guin, a man is able to " effectively " dream, changing waking reality.

* American advertising man Martin K. Speckter invents the interrobang, a new English-language punctuation mark.

According to Howard K. Smith, who covered the executions for the International News Service, Rosenberg was the only condemned man, who when asked at the gallows if he had any last statement to make, replied with only one word: " No ".

A man named Coleman told Virgil that the Cowboys had left the Dunbar and Dexter Stable for the O. K.

Huxley thought he was " the only man who can carry out my work ", and that the deaths of Balfour and W. K.

Gokhale ’ s firm belief in the need for universal education deeply inspired the next great man on the Indian political stage, Mohandas K. Gandhi ; his faith in western political institutions though rejected by Gandhi, was adopted by an independent India in 1950.

DeLorean considered keeping his job and moving to Studebaker headquarters in South Bend, Indiana, when he received a call from Oliver K. Kelley, vice president of engineering at General Motors, a man whom DeLorean greatly admired.

At age 51 he was the youngest apostle in the quorum at the time and the youngest man to be called to the quorum since Boyd K. Packer, who was called in 1970 at age 45.

They include Welterweight Boxing Champion Storer College ( 1925 – 27 ); High Jump champion, Howard University Inter-Scholastic Games ( 1926 ); Gold Medalist in Cross Country, Storer College ( 1927 ); Back-stroke Swimming Champion and No. 3 swimmer in Freestyle Relay team, Howard University ( 1928 ); Captain, Lincoln University Soccer Team ( 1930 ); Winner Two Miles Run, Central Inter-Collegiate Athletic Association Championships at Hampton Institute Virginia ( 1931 ); Bronze Medalist, Richmond Cross Country Marathon ( 1931 ); Gold Medalist in the 1, 000 yard run, One Mile Run and Three Mile Run, Catedonian Games in Brooklyn, NY ( 1932 ); Silver Trophy winner in the Half Mile race, and Silver Cup winner in the One Mile Race, Democratic Field Day Championships, New Haven, Connecticut ( 1933 ); Runner-up ( with G. K. Dorgu ) at the Lagos Tennis Men ’ s Double Championships ( Division B 1938 ); anchor man for the ZAC team which won the 50 yards Freestyle Relay at the Lagos Swimming Championships ( 1939 ).

He was treated indifferently by the man he believed to be his father, Harry K. Thaw, who never accepted Russell as his son.

In response, Hunt approached several other businessmen who had also unsuccessfully sought NFL franchises, including fellow Texan and oil man K. S.

This is Coetzee's second book ( after Life and Times of Michael K ) where man is broken down almost to nothing before he finds some tiny measure of redemption in his forced acceptance of the realities of life and death.

" Alvarado did not provide a name for the K ' iche ' general ; nor did he mention how or by whose hand the man was killed.

For the landing each man carried a rucksack weighing containing extra ammunition, for the Brens, mortars, Vickers K guns and PIATs.

His student William K. Gregory called Osborn's idiosyncratic view on man's origins as a form of " Parallel Evolution " but many creationists misinterpreted Osborn, greatly frustrating him, and believed he was asserting man had never evolved from a lower life form.

* Terrence Catheter ( Jimmy Kimmel ) – An effeminate, red-headed man who acts as spokesperson for various celebrities, such as Tom Cruise, Bill Cosby, Jared Fogle, J. K. Rowling, Mr. T, and the Olsen twins.

In England: A Nation, ( London: R. Brimley Johnson, 1904 ), edited by Lucian Oldershaw, and in a chapter entitled " The Patriotic Idea " written by G. K. Chesterton, the beauty of Box Hill violated by an invading army is used to express a healthy patriot's love for his nation is opposed to the jingoistic nationalism of tabloid newspapers: " But just as a man who has been in love will find it difficult to write a whole frantic epic about a flirtation, so all that kind of rhetoric about the Union Jack and the Anglo-Saxon blood, which has made amusing the journalism of this country for the last six years, will be merely impossible to the man who has for one moment called up before himself what would be the real sensation of hearing that a foreign army was encamped on Box Hill.

Members of the 15-man commission included Dr. Luis Alvarez, a winner of the Nobel Prize in Physics, Neil Armstrong ( a NASA astronaut and the First man on the Moon ), Richard Feynman, a winner of the Nobel Prize in Physics, Dr. Gerard K. O ’ Neill ( an American physicist and space activist ), Dr. Kathryn D. Sullivan ( a Space Shuttle astronaut and the first American woman to walk in space ), and Brigadier General Charles E. " Chuck " Yeager rocket plane pilot and first man to break the sound barrier ( 1947 ).

It also brought the appointment of Chief Constable of the Surrey Constabulary to Sir Joseph Simpson K. B. E., a man who had a lifelong interest in gundogs and who saw clearer than most the possibilities of adapting the natural abilities and qualities of the dog to the specialist requirements of the police service.