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.

* 1887 – Srinivasa Ramanujan, Indian mathematician ( d. 1920 )

Ramanujan.

Some notable mathematicians include Archimedes of Syracuse, Leonhard Euler, Carl Gauss, Johann Bernoulli, Jacob Bernoulli, Aryabhata, Brahmagupta, Bhaskara II, Nilakantha Somayaji, Omar Khayyám, Muhammad ibn Mūsā al-Khwārizmī, Bernhard Riemann, Gottfried Leibniz, Andrey Kolmogorov, Euclid of Alexandria, Jules Henri Poincaré, Srinivasa Ramanujan, Alexander Grothendieck, David Hilbert, Alan Turing, von Neumann, Kurt Gödel, Joseph-Louis Lagrange, Georg Cantor, William Rowan Hamilton, Carl Jacobi, Évariste Galois, Nikolay Lobachevsky, Rene Descartes, Joseph Fourier, Pierre-Simon Laplace, Alonzo Church, Nikolay Bogolyubov and Pierre de Fermat.

Starting around the 15th century, new algorithms based on infinite series revolutionized the computation of, and were used by mathematicians including Madhava of Sangamagrama, Isaac Newton, Leonhard Euler, Carl Friedrich Gauss, and Srinivasa Ramanujan.

* April 26 – Srinivasa Ramanujan, Indian mathematician ( b. 1887 )

* December 22 – Srinivasa Aaiyangar Ramanujan, Indian mathematician ( d. 1920 )

The theoretical foundations for such series is given by Broadhurst ( the first formula ) and Ramanujan ( the second formula ) The algorithms for fast evaluation of the Catalan constant is constructed by E. Karatsuba.

The function li ( x ) has a single positive zero ; it occurs at x ≈ 1. 45136 92348 ...; this number is known as the Ramanujan – Soldner constant.

Ramanuja or Ramanujan or Ramanujam is a Tamil name.

Ramanujan is also the name for Srinivasa Ramanujan ( 1887 – 1920 ), an Indian mathematician who is considered by many to be one of the most intrinsically talented mathematicians in history.

* S. Ramanujan, ( 1887 – 1920 ), the famous Indian mathematician, known for his work on continued fractions, number theory, and his 1729 observation

Srinivasa Ramanujan wrote about generalisations of the binomial theorem, and earned a reputation as a genius by writing articles that confounded the best extant mathematicians.

Starting in 1914, he was the mentor of the Indian mathematician Srinivasa Ramanujan, a relationship that has become celebrated.

Hardy almost immediately recognized Ramanujan's extraordinary albeit untutored brilliance, and Hardy and Ramanujan became close collaborators.

In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan.

The Indian Clerk ( 2007 ) is a novel by David Leavitt based on Hardy's life at Cambridge, including his discovery of and relationship with Srinivasa Ramanujan.

However, aside from formulating the Hardy – Weinberg principle in population genetics, his famous work on integer partitions with his collaborator Ramanujan, known as the Hardy – Ramanujan asymptotic formula, has been widely applied in physics to find quantum partition functions of atomic nuclei ( first used by Niels Bohr ) and to derive thermodynamic functions of non-interacting Bose-Einstein systems.

Main character at David Leavitt The Indian Clerk ( 2007 ), which depicts his Cambridge years and the relationship with John Edensor Littlewood and Ramanujan.

* Hardy, G. H. ( 1940 ) Ramanujan, Cambridge University Press: London ( 1940 ).

The subject of immortality brings to mind a vivid incident which took place in 1929 at Montreux in Switzerland.

It makes materials handling the only construction cost that ( like earthmoving and roadbuilding ) should be lower today than in 1929.

A unified set of regulations, applicable to all areas, was issued in 1929, and a complementary series of demographic inquiries in selected areas was instituted at the same time.

It has surrendered any claims of description in favor of psychological accounts of nothingness, as in Heidegger's system ( 1929 ).

The old Morse system was replaced locally by the Simplex modern automatic method in 1929, when Ellamae Heckman ( Wilcox ) was manager of the Western Union office.

It finally reached Broadway in the second and successful version of `` Strike Up The Band '' in 1929.

The very first recording was made for RCA Victor in 1929 with Nathaniel Shilkret conducting the Victor Symphony Orchestra, drawn from members of the Philadelphia Orchestra.

The first Academy Awards ceremony was held on May 16, 1929, at the Hotel Roosevelt in Hollywood to honor the outstanding film achievements of the 1927 / 1928 film season.

The first awards were presented on May 16, 1929, at a private brunch at the Hollywood Roosevelt Hotel with an audience of about 270 people.

For example, the 2nd Academy Awards presented on April 3, 1930, recognized films that were released between August 1, 1928 and July 31, 1929.

Bates was more fortunate, as the song's popularity was well established by the time of her death in 1929.

* 1929 – Huey P. Long Governor of Louisiana is impeached by the Louisiana House of Representatives.

* 1929 – Willis Hall, English playwright and writer ( d. 2005 )

* 1929 – Joi Lansing, American model and actress ( d. 1972 )

* 1866 – Princess Viktoria of Prussia ( d. 1929 )

* 1929 – Mukhran Machavariani, Georgian poet ( d. 2010 )

* 1929 – Ira Levin, American author ( d. 2007 )

He died in America in 1929.

* 1929 – Roch La Salle, Canadian politician ( d. 2007 )

* 1929 – Abdi İpekçi, Turkish journalist ( d. 1979 )

The United States Congress, in the Ratification Act of 1929, provided that until the Congress shall provide for the Government of the islands of American Samoa all civil, judicial, and military powers shall be vested in such person or persons and exercised in such manner as the President of the United States shall direct.

* 2005 – Harald Juhnke, German actor ( b. 1929 )

In Serbia Nikola Pašić ( 1845 – 1926 ) and his Radical Party dominated Serbian politics after 1903 ; they also monopolized power in Yugoslavia from 1918 to 1929 ; during the dictatorship of the 1930s, it furnished the prime minister.

* 1929 – Hafizullah Amin, Afghan politician ( d. 1979 )