As our radius of penetration, R, increases, the area of new knowledge increases by Af, and the total of human knowledge becomes measured in terms of Af.

For United States expenditures under subsections ( A ), ( B ), ( D ), ( E ), ( F ), ( H ) through ( R ) of Section 104 of the Act or under any of such subsections, the rupee equivalent of $200 million.

Companies of all types have made great advances in production capabilities and efficiencies -- in modern equipment and new processes, enlarged R & D facilities, faster new product development.

M & R Dietetic Laboratories, Inc., Columbus, gives all its workers a facsimile checkbook -- each check showing the amount the company spends on a particular fringe.

Many companies have systems, particularly in R & D, which work more or less well, depending upon size and actual belief in the policy on the part of administration, as will be abundantly apparent in subsequent quotations.

We have set up a central R & D department, as well as engineering-management departments -- about 80 people working on problems related to those of our plants.

`` Above these jobs we have chief engineer for the company and vice-president of Engrg, R & Aj.

Paper electrophoresis was carried out on the concentrated samples in a Spinco model R cell using barbital buffer, pH 8.6, ionic strength 0.075, at room temperature on Whatman 3MM filter paper.

We say that N is nilpotent if there is some positive integer R such that Af.

for, using the fact that N and N' commute Af and so when R is sufficiently large every term in this expression for Af will be 0.

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Some predictions had been made concerning factors R, N, I and Co on these inventories which appeared to be directly related to control and security aspects of personality functioning which were hypothesized as being of importance in differential Kohnstamm reactivity.

The action and reaction forces are R and Af, respectively, and are equal and opposite in direction.

An analysis of the vector relationships shows that the rake angle **yc and the friction angle **yt determine the vector direction Af of the force resultants R and Af.

It is difficult to measure the direction and magnitude of R directly.

This is not a constant value like Af, but varies with the thickness of the coating and the direction and magnitude of the resultants R and Af of Fig. 6.

If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.

A sufficiently good approximation for determining the end reflection losses R can be obtained from the angle independent Fresnel formula: Af.

Moreover, by systematically varying the operating conditions in the first stage and always using the optimal Af-stage policy for the remaining stages, we shall eventually find the optimal policy for all R stages.

If all the operating variables were varied simultaneously, Af operations would be required to do the same job, and as R increases this increases very much more rapidly than the number of operations required by the dynamic program.

But even more important than this is the fact that the direct search by simultaneously varying all operating conditions has produced only one optimal policy, namely, that for the given feed state and R stages.

But Af is vastly larger than R.

Consider the process illustrated in Fig. 2.1, consisting of R distinct stages.

These will be numbered in the direction opposite to the flow of the process stream, so that stage R is the T stage from the end.

Let the state of the stream leaving stage R be denoted by a vector Af and the operating variables of stage R by Af.

On 25 January 1939, a Columbia University team conducted the first nuclear fission experiment in the United States, which was done in the basement of Pupin Hall ; the members of the team were Herbert L. Anderson, Eugene T. Booth, John R. Dunning, Enrico Fermi, G. Norris Glasoe, and Francis G. Slack.

* Pinch, William R., " The Corpse and Cult of St. Francis Xavier, 1552-1623 ," in Mathew N. Schmalz and Peter Gottschalk ed.

* The Trial of the U2: Exclusive Authorized Account of the Court Proceedings of the Case of Francis Gary Powers, Heard before the Military Division of the Supreme Court of the U. S. S. R., Moscow, August 17, 18, 19, 1960.

* Duncan, Francis, A Description of the Island Of St Helena Containing Observations on its Singular Structure and Formation and an Account of its Climate, Natural History, and Inhabitants, London, Printed For R Phillips, 6 Bridge Street, Blackfriars, 1805

* October 1 – David R. Francis, American politician ( d. 1927 )

It also named as notable influences the religious and spiritual teachings of Henry David Thoreau, Hillel the Elder, Jesus, Buddha, St. Francis of Assisi, Gandhi, and J. R. R.

His books of poetry include Poems 1913 and 1914 ( 1914 ); Poems Translated from the French ( 1914 ); Three Poems ( 1916 ); The Barn ( 1916 ); The Silver Bird of Herndyke Mill ; Stane Street ; The Gods of the World Beneath, ( 1916 ); The Harbingers ( 1916 ); Pastorals ( 1916 ); The Waggoner and Other Poems ( 1920 ); The Shepherd, and Other Poems of Peace and War ( 1922 ); Old Homes ( 1922 ); To Nature: New Poems ( 1923 ); Dead Letters ( 1923 ); Masks of Time: A New Collection of Poems Principally Meditative ( 1925 ); Japanese Garland ( 1928 ); Retreat ( 1928 ); Winter Nights: A Reminiscence ( 1928 ); Near and Far: New Poems ( 1929 ); A Summer's Fancy ( 1930 ); To Themis: Poems on Famous Trials ( 1931 ); Constantia and Francis: An Autumn Evening, ( 1931 ); Halfway House: A Miscellany of New Poems, ( 1932 ); Choice or Chance: New Poems ( 1934 ); Verses: To H. R. H. The Duke of Windsor, ( 1936 ); An Elegy and Other Poems ( 1937 ); On Several Occasions ( 1938 ); Poems, 1930-1940 ( 1940 ); Shells by a Stream ( 1944 ); After the Bombing, and Other Short Poems ( 1949 ); Eastward: A Selection of Verses Original and Translated ( 1950 ); Records of Friendship ( 1950 ); A Hong Kong House ( 1959 ); Poems on Japan ( 1967 ).

" Neoclassical architecture in the Government Building at the Louisiana Purchase Exposition ," from: David R. Francis, The Universal Exposition of 1904 ( St. Louis: Louisiana Purchase Exposition Company, 1905 ), p. 91.

*" Francis Zuccarelli, R. A ." in Anecdotes of painters who have resided or been born in England: with critical remarks on their productions ; by Edward Edwards, deceased, late teacher of perspective, and associate, in the Royal Academy ; intended as a continuation to The anecdotes of painting by the late Horace Earl of Orford.

* Earlier graduates include J. C. R. Licklider, pioneer in artificial intelligence ; Charles Nagel, founder of the U. S. Chamber of Commerce ; Julian Hill, co-inventor of nylon ; Clyde Cowan, co-discoverer of the neutrino ; James R. Thompson, Governor of Illinois ; David R. Francis, Governor of Missouri ; William H. Webster, former Director of the FBI ; Edward Singleton Holden, President of the University of California ; Nathan O. Hatch, president of Wake Forest University ; Thomas Lamb Eliot, President of Reed College ; and Abram L. Sachar, founding President of Brandeis University.

* Allan, Kenneth R. “ Metamorphosis in 391: A Cryptographic Collaboration by Francis Picabia, Man Ray, and Erik Satie ” in Art History 34, No. 1 ( February, 2011 ): 102-125.

* R. A. Francis, The Abbé Prévost's first-person narrators, Oxford: Voltaire Foundation, 1993, ISBN 0-7294-0448-X ;

This tradition dates back to the inverted detective stories of R Austin Freeman, and reached an apotheosis of sorts in Malice Aforethought written by Francis Iles ( a pseudonym of Anthony Berkeley ).

* Laing, L. R., ( 1975 ) The archaeology of late Celtic Britain and Ireland, c. 400-1200 AD, Taylor & Francis.

His absence was due to the fact that David R. Francis, Mayor of St. Louis, refused any help officiating the Games.

The first at the games of 1904 in St. Louis, Missouri in the USA by David R. Francis the mayor of the city at the time.

Kuechler signs up only German Unionists in his frontier company, and is dismissed by Governor Francis R. Lubbock.

Friar Hippolyte Hélyot, T. O. R., ( 1660 – 1716 ) was a Franciscan friar and priest of the Third Order of St. Francis and a major scholar of Church history.

* Allan, Kenneth R. “ Metamorphosis in 391: A Cryptographic Collaboration by Francis Picabia, Man Ray, and Erik Satie .” Art History 34, No. 1 ( February, 2011 ): 102-125.

The Plumsted Township Committee consists of Mayor Ronald S. Dancer ( R, 2008 ), Deputy Mayor Kenneth H. Francis ( R, 2007 ), Michael McCue ( R, 2009 ), Ada Roberts ( R, 2007 ) and Eric Sorchik ( R, 2009 ).