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.

* Ki-Moon Lee ( K .- M. Lee and S. R.

* Penneman, R. A. and Keenan T. K. The radiochemistry of americium and curium, University of California, Los Alamos, California, 1960

Bauer, R. Baumann, M. Feliciano, K. Samelson, Introduction to Algol.

Formerly, Sauer ( 1955 ) classified the genus into two subgenera, differentiating only between monoecious and dioecious species: Acnida ( L .) Aellen ex K. R.

* Sinclair, R. K. 1988.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

* Sen, R. K., Aesthetic Enjoyment: Its Background in Philosophy and Medicine, Calcutta: University of Calcutta, 1966

Ranjore Singh ( K. C. I. E ) ___________Vijay Singh ( R. 1853-1855 )

To mitigate the differences between K & R C and the ANSI C standard, the (" standard c ") macro can be used to split code into ANSI and K & R sections.

The ' K ' of K & R C and the ' K ' in AWK both stand for ' Kernighan '.

* The C Programming Language (' K & R ') ( 1978, 1988 with Dennis M. Ritchie )

7 ( Zondervan, 1985 ): 15 ; he cites Harrison, R. K. < U > Introduction to the Old Testament </ u >.

Considerable research into biological warfare was undertaken throughout the Cold War era ( 1947 – 1991 ) by the U. S., U. K. and U. S. S. R., and probably other major nations as well, although it is generally believed that such weapons were never used.

In 1972, the U. S., U. K., U. S. S. R., and many other nations signed the BWC, which banned " development, production and stockpiling of microbes or their poisonous products except in amounts necessary for protective and peaceful research.

* Arora, A. K., Tata, B. V. R., Eds.

* 1920 – K. R. Narayanan, 10th President of India ( d. 2005 )

** K. R. Narayanan, President of India ( died 2005 )

Abdul Kalam served as the 11th President of India, succeeding K. R. Narayanan.

K. R. Narayanan was born in a small thatched hut at Perumthanam, Uzhavoor, as the fourth of seven children of Kocheril Raman Vaidyar, a physician practicing the traditional Indian medical systems of Siddha and Ayurveda, and Punnaththuraveettil Paappiyamma.

The family lacked money to buy books and his elder brother K. R. Neelakantan, who was confined to home as he was suffering from asthma, used to borrow books from other students, copy them down, and give them to Narayanan.

K. R. Narayanan with then President of Russia Vladimir Putin on 3 October 2000.

Nehru, who had also been the Minister for External Affairs during his 16 years as PM, held that K. R. Narayanan was " the best diplomat of the country.

While working in Rangoon, Burma ( Myanmar ), K. R. Narayanan met Ma Tint Tint, whom he later married in Delhi on 8 June 1951.

K. Karunakaran, Congress Chief Minister of Kerala, a political adversary of his, informed Narayanan that he was not made a minister because of him being a " Communist fellow-traveller ".

He did not, however, respond when Narayanan pointed out that he had defeated Communist candidates ( A. K. Balan and Lenin Rajendran, the latter twice ) in all three elections.

K. R. Narayanan was elected as the Vice President of India on 21 August 1992, under the Presidency of Shankar Dayal Sharma.

K. R. Narayanan was elected to the Presidency of India ( 17 July 1997 ) with 95 % of the votes in the electoral college, as a result of the Presidential poll on 14 July.

In the person of Shri K. R. Narayanan we have been able to fulfil the dream of Gandhiji.

In the general elections of 1998, K. R. Narayanan became the first sitting President to vote ( 16 February 1998 ), casting his vote at a polling booth in a school within the Rashtrapati Bhavan complex after standing in a queue like an ordinary citizen.

In his farewell address to the nation ( 24 July 2002 ), K. R. Narayanan set his hopes for social action and progress on the service of the nation by its youth.

Reflecting on his Presidency, K. R. Narayanan said:

After his retirement as President, K. R. Narayanan, along with his wife Usha, lived his remaining years in a central Delhi bungalow ( on 34 Prithviraj Road ).

K. R. Narayanan died on 9 November 2005 at the Army Research and Referral Hospital, New Delhi, after being briefly ill with pneumonia and consequent renal failure.

His daughter, Chitra ( Indian ambassador to Switzerland & The Holy See ), on behalf of her mother ( Usha ), sister ( Amrita ), and the rest of his family, expressed her appreciation for the outpouring of grief from all over the country and abroad ; she added that K. R. Narayanan would be remembered for his great love for the nation and for his immense moral strength and courage.

Four siblings, K. R. Gowri, K. R. Bhargavi, K. R. Bharathi, and K. R. Bhaskaran, survived him ; two elder brothers had died when Narayanan was in his twenties.

Villagers of Uzhavoor marched silently to the tharavaadu of K. R. Narayanan and paid him reverent homage.