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.

Dartmouth has also graduated three Nobel Prize winners: Owen Chamberlain ( Physics, 1959 ), K. Barry Sharpless ( Chemistry, 2001 ), and George Davis Snell ( Physiology or Medicine, 1980 ).

* People: Barry Boehm, Vint Cerf, Douglas Engelbart, Robert Fano, Anup K. Ghosh, James Hendler, Bob Kahn, JCR Licklider, John Poindexter, Larry Roberts, Robert Sproull, Ivan Sutherland, Bob Taylor, Gio Wiederhold.

Some scientists and engineers have expressed reservations about nuclear power, including: Barry Commoner, S. David Freeman, John Gofman, Arnold Gundersen, Mark Z. Jacobson, Amory Lovins, Arjun Makhijani, Gregory Minor, Joseph Romm and Benjamin K. Sovacool.

Among his top ten R & B hits during this latter period included " Funky President ( People It's Bad )" and " Get Up Offa That Thing ", the latter song released in 1976 and aimed at musical rivals such as Barry White, The Ohio Players and K. C.

He performed in productions of National Anthems by Dennis McIntyre, and The Philadelphia Story by Philip Barry in which he played C. K. Dexter Haven, the Cary Grant role in the film version.

* Chemistry – William S. Knowles, Ryōji Noyori, K. Barry Sharpless

** K. Barry Sharpless, American chemist, Nobel Prize laureate

Noyori shared half of the prize with William S. Knowles for the study of chirally catalyzed hydrogenations ; the second half of the Prize went to K. Barry Sharpless for his study in chirally catalyzed oxidation reactions ( Sharpless epoxidation ).

See also New Jersey Country Houses: The Somerset Hills ( written by John K. Turpin and W. Barry Thomson ), Mountain Colony Press, Inc.

In 1925 he joined Sir Barry Jackson's Birmingham Repertory Company, where many eminent British actors, from Edith Evans and Cedric Hardwicke to Derek Jacobi, learned their craft, and Richardson under the veteran taskmaster H. K. Ayliff " absorbed the influence of older contemporaries like Gerald du Maurier, Charles Hawtrey and Mrs. Patrick Campbell.

This reaction was developed principally by K. Barry Sharpless building on the already known racemic Upjohn dihydroxylation, for which he was awarded a share of the 2001 Nobel Prize in Chemistry.

* April 21-The first of a series of innovative modern dress productions of Shakespeare plays, Cymbeline, directed by H. K. Ayliff, opens at Barry Jackson's Birmingham Repertory Theatre in England.

* Barry J. Epstein, Eva K. Jermakowicz.

** Chemistry – William S. Knowles, Ryōji Noyori, K. Barry Sharpless

SSA was developed by Ron Cytron, Jeanne Ferrante, Barry K. Rosen, Mark N. Wegman, and F. Kenneth Zadeck, researchers at IBM in the 1980s.

e-gold was founded in 1996 by Dr. Douglas Jackson and Barry K. Downey .< ref >

* K. Barry Sharpless at The Scripps Research Institute

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James K. Boyce and Barry G. Shelley.

) by Barry K. Beyer at http :// www. chenango. history. museum / Publications. htm

* Richard K. Sharpless, 1956 – 1957

Among the 265 members of faculty are notable chemists and biologists, including Kyriacos Costa Nicolaou, Roy A. Periana, William R. Roush, Paul Schimmel, Ian Wilson, Dale L. Boger, Charles Weissmann, Peter G. Schultz, John R. Yates, Benjamin Cravatt III, Gerald F. Joyce, Raymond C. Stevens and Peter Wright as well as Nobel Laureates Gerald Edelman, Kurt Wüthrich, K. Barry Sharpless and Bruce Beutler.

Early examples include Sharpless epoxidation ( K. Barry Sharpless ) and stereoselective hydrogenation ( William S. Knowles and Ryōji Noyori ).

Click chemistry was first fully described by K. Barry Sharpless of The Scripps Research Institute in 2001 < ref > and describes chemistry tailored to generate substances quickly and reliably by joining small units together.

It was discovered concurrently and independently by the groups of Valery V. Fokin and K. Barry Sharpless at the Scripps Research Institute in California and Morten Meldal in the Carlsberg Laboratory, Denmark.

American chemist K. Barry Sharpless has referred to this cycloaddition as " the cream of the crop " of click chemistry .< ref >

The copper ( I )- catalyzed variant was first reported in 2002 in independent publications by Morten Meldal at the Carlsberg Laboratory in Denmark and Valery Fokin and K. Barry Sharpless at the Scripps Research Institute .< ref >

The other half was awarded to K. Barry Sharpless for his work in oxidation reactions.

The other half of the prize was awarded to K. Barry Sharpless for the development of catalytic asymmetric synthesis, which is a technology relevant to the preparation of many pharmaceuticals.

This effect has been known for many years but in 2005 researchers in the group of K. Barry Sharpless presented a systematic study into this phenomenon.