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.

* Dynes, Wayne R. ' Alan of Lille.

* Thomas, Alan R. ( 1997 ).

* Alan V. Oppenheim, Ronald W. Schafer, John R. Buck: Discrete-Time Signal Processing, Prentice Hall, ISBN 0-13-754920-2

Elfenland is a German-style board game designed by Alan R. Moon and published by Amigo Spiele in German and Rio Grande Games in English in 1998.

Category: Alan R. Moon games

* Alan R. Moon is a British-born designer with numerous games to his credit, often with a railway theme, including the Spiel des Jahres winning Ticket to Ride and Elfenland.

Many modern horror and fantasy writers, including Stephen King, Bentley Little, Joe R. Lansdale, Alan Moore, Junji Ito, F. Paul Wilson, Brian Lumley, Caitlín R. Kiernan, and Neil Gaiman, have cited Lovecraft as one of their primary influences.

Many later figures were influenced by Lovecraft's works, including author and artist Clive Barker, prolific horror writer Stephen King, comics writers Alan Moore, Neil Gaiman and Mike Mignola, film directors John Carpenter, Stuart Gordon, and Guillermo Del Toro, horror manga artist Junji Ito, and artist H. R. Giger.

* < cite id = Rogers2004 > Rogers, Alan R .; Iltis, David & Wooding, Stephen ( 2004 ), “ Genetic variation at the MC1R locus and the time since loss of human body hair ”, Current Anthropology 45 ( 1 ): 105 – 108 .</ cite >

Alan Turing searched for them on the Manchester Mark 1 in 1949, but the first successful identification of a Mersenne prime, M < sub > 521 </ sub >, by this means was achieved at 10: 00 P. M. on January 30, 1952 using the U. S. National Bureau of Standards Western Automatic Computer ( SWAC ) at the Institute for Numerical Analysis at the University of California, Los Angeles, under the direction of Lehmer, with a computer search program written and run by Prof. R. M.

Recent philosophers who defended moral rationalism include R. M. Hare, Christine Korsgaard, Alan Gewirth, and Michael Smith ( 1994 ).

D. R and Quinch, art by Alan Davis.

Alan R. Rushton notes that Harthacnut was son to Emma of Normandy, and that there was a pattern of sudden deaths among descendants of the House of Normandy.

* Rushton, Alan R., Royal Maladies: Inherited Diseases in the Royal Houses of Europe ( 2008 ).

* Charles G. Cunningham, Charles W. Naeser, Richard F. Marvin, Robert G. Luedke, and Alan R. Wallace, Ages of Selected Intrusive Rocks and Associated Ore Deposits in the Colorado Mineral Belt.

* Alan R. White

Backed by such experienced professional R & B sidemen as lead guitarist Steve Cropper, sax man Lou Marini, trumpeter Alan Rubin and bass guitarist Donald " Duck " Dunn, the Blues Brothers proved more than an SNL novelty.

Many of Church's doctoral students have led distinguished careers, including C. Anthony Anderson, Peter B. Andrews, George A. Barnard, William W. Boone, Martin Davis, Alfred L. Foster, Leon Henkin, John G. Kemeny, Stephen C. Kleene, Simon B. Kochen, Maurice L ' Abbé, Isaac Malitz, Gary R. Mar, Michael O. Rabin, Nicholas Rescher, Hartley Rogers, Jr., J. Barkley Rosser, Dana Scott, Raymond Smullyan, and Alan Turing.

* 1987 — David Burstein, Roger Davies, Alan Dressler, Sandra Faber, Donald Lynden-Bell, R. J. Terlevich, and Gary Wegner claim that a large group of galaxies within about 200 million light years of the Milky Way are moving together towards the " Great Attractor " in the direction of Hydra and Centaurus,

* Twentieth-Century Culture: A Biographical Companion edited by Alan Bullock and R. B. Woodings ( Harpercollins, 1984, ISBN 0-06-015248-6

* The Wild Hunt appears frequently in modern fantasy fiction, as in Alan Garner ( in The Moon of Gomrath ), Peter Beagle ( in Tamsin ), Penelope Lively in The Wild Hunt of Hagworthy, Uladzimir Karatkievich ( in The Wild Hunt of King Stakh ), Susan Cooper in The Dark is Rising, Guy Gavriel Kay's trilogy The Fionavar Tapestry, Raymond E. Feist's ' Faerie Tale ', Laurell K. Hamilton's Merry Gentry series, J. R. R. Tolkien's The Lord of the Rings ( as the Dead Men of Dunharrow ), Buffy the Vampire Slayer ( Novel Child of the Hunt ), Andrzej Sapkowski's Geralt of Rivia cicle and Robert Jordan's Wheel of Time series, among many others.

To help keep him out of trouble, his father bought him a large transoceanic radio, and Smith became an avid fan of R & B music and the disc jockeys who played it, such as " Jocko " Henderson of Philadelphia, New York's " Dr. Jive " ( Tommy Smalls ), the " Moon Dog " Alan Freed, and Nashville's " John R ." Richbourg, who later became his mentor.