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.

They have four sons: Koby Aaron, Kory Allen, Kacy Austin, and Kody Alec — all given " K " names to honor Clemens's strikeouts (" K's ").

* Wisden Cricketers of the Year – Ewart Astill, Freddie Brown, Alec Kennedy, C. K. Nayudu, Bill Voce

* Alec K. Redfearn & The Eyesores

Over the years many famous authors have signed at Hatchards including J. K Rowling, Alexander McCall-Smith, Peter Ackroyd, Margaret Thatcher, Lauren Bacall, Stephen Fry, Jeremy Paxman, Joanne Harris, the late Alec Guinness, David Attenborough, Michael Palin, Deborah, Duchess of Devonshire, Peter Mandelson, Hilary Mantel, Sebastian Faulks, and Howard Jacobson.

Alec K Redfearn is a musician and composer based out of Providence, Rhode Island.

Alec K. Redfearn and the Seizures

Alec K. Redfearn and the Eyesores

Aided by saxophonist Jim Hobbs, drummer Jerome Deupree, accordionist Alec K. Redfearn, tubist Ron Caswell, and musical saw player Leigh Calabrese, the group was a contemporary free improvisation instrumental ensemble which used circus music as a jumping off point.

To develop the Dreamland score, Carpenter formed a second incarnation of Beat Circus with drummer Matt McLaren ( a long-time collaborator of Cuneiform Records label-mate Alec K. Redfearn ), Kaethe Hostetter from Boston, cellist Julia Kent of Antony and the Johnsons, trombonist Curtis Hasselbring, saxophonist Briggan Krauss of Sex Mob, and original members Alec K. Redfearn, Ron Caswell, and Brandon Seabrook.

With the departure of Alec K. Redfearn and Matt McLaren, who wished to focus on their band The Eyesores, Carpenter formed the third incarnation of Beat Circus in 2007, casting himself as the lead vocalist with violinist Paran Amirinazari and violist Jordan Voelker as background vocalists, and introducing a rockabilly-style rhythm section composed of upright bassist Paul Dilley, guitarist / banjoist Andrew Stern, and drummer Gavin McCarthy of Karate.

Paul Thompson is the W. K.

K. Paul, Trench, Trübner & co., ltd., 1898.

K. Paul, Trench, Trübner & co., ltd., 1898.

More significant still is the change in the use of sacrificial language: for Paul the Eucharist is a receiving of gifts from God, the Christian sacrifice is the offering of our bodies ( Romans 12 ).< Barrett, C. K.

Paul K. Davis wrote that " Caesar's victory took him to the pinnacle of power, effectively ending the Republic.

Historian Paul K. Davis wrote, " Having defeated Eudes, he turned to the Rhine to strengthen his northeastern borders-but in 725 was diverted south with the activity of the Muslims in Acquitane.

* Baack, Jessica K. and Paul V. Switzer.

* Paul, B. K et al.

In literature and journalism, Dartmouth has produced nine Pulitzer Prize winners: Thomas M. Burton, Richard Eberhart, Robert Frost, Paul Gigot, Jake Hooker, Nigel Jaquiss, Martin J. Sherwin, David K. Shipler, and Joseph Rago.

Antonín Dvořák's String Quintet in G major, Op. 77 and Wolfgang Amadeus Mozart's Serenade in G major, K. 525 (" Eine kleine Nachtmusik ") are the most popular pieces in this repertoire, along with works by Darius Milhaud, Luigi Boccherini ( 3 quintets ), Harold Shapero, and Paul Hindemith.

Economists who studied with Hayek at the LSE in the 1930s and the 1940s include Arthur Lewis, Ronald Coase, John Kenneth Galbraith, Abba Lerner, Nicholas Kaldor, George Shackle, Thomas Balogh, Vera Smith, L. K. Jha, Arthur Seldon, Paul Rosenstein-Rodan, and Oskar Lange.

Paul K. Benedict had joined the Berkeley team in 1938, and in 1942 he published his own classification, where he overtly excluded Vietnamese ( placing it in Mon – Khmer ), Miao – Yao, and Tai – Kadai (' Kadai ', placing it in Austro-Tai ).

* Miller, Paul Allen, Platter, Charles, and Gold, Barbara K. Sex and gender in medieval and Renaissance texts: the Latin tradition.

K. Paul Johnson suggests in his book The Masters Revealed: Madam Blavatsky and Myth of the Great White Brotherhood that the Masters that Madam Blavatsky claimed she had personally met are idealizations of certain people she had met during her lifetime.

* Summers, Montague, The Werewolf London: K. Paul, Trench, Trubner, 1933.

* Feyerabend, Paul K. 2005.

* Davis, Paul K. ( 2001 ).

As Paul K. Davis writes, " William's victory placed a foreign ruler on the throne of England, introducing European rather than Scandinavian society onto the isolated island " in " the last successful invasion of England.

* Ogden Tweto and Paul K. Sims, Precambrian Ancestry of the Colorado Mineral Belt.

Writing in 1999, Paul K. Davis estimates the Umayyad forces at 80, 000 and the Franks at about 30, 000, while noting that modern historians have estimated the strength of the Umayyad army at Tours at between 20 – 80, 000.

* Davis, Paul K. ( 1999 ) " 100 Decisive Battles From Ancient Times to the Present " ISBN 0-19-514366-3

* < span id =" CITEREFR_Hansma1996 "> Hansma, Paul K. 1996.

Paul K. Davis writes, " Constantine ’ s victory gave him total control of the Western Roman Empire paving the way for Christianity to become the dominant religion for the Roman Empire and ultimately for Europe.

* Paul K. Davis Besieged: 100 Great Sieges from Jericho to Sarajevo ( Oxford: Oxford University Press, 2001 )

For example, Paul K. Davis wrote, " Mongol victory broke the southern Sung dynasty, leading to the establishment of the Yüan dynasty.