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.

* In 1990 12 soldiers were sent to Trinidad after a failed coup attempt by radical Black Muslims against the constitutionally elected government headed by Prime Minister A. N. R.

Amide can also refer to the conjugate base of ammonia ( the anion H < sub > 2 </ sub > N < sup >–</ sup >) or of an organic amine ( an anion R < sub > 2 </ sub > N < sup >–</ sup >).

* Dupuy, R. E & Dupuy, T. N. The Collins Encyclopaedia of Military History 4th ed.

R. N. Whybray uses these passages to pinpoint the period of Deutero-Isaiah's activity to 550 – 539 BCE ).

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

for all m in M, n in N and t in R.

* J. Bardeen, L. N. Cooper, and J. R. Schrieffer, " Microscopic Theory of Superconductivity ", Phys.

* J. Bardeen, L. N. Cooper, and J. R. Schrieffer, " Theory of Superconductivity ", Phys.

* R. E. Bryant, S. M. German, and M. N. Velev, Microprocessor Verification Using Efficient Decision Procedures for a Logic of Equality with Uninterpreted Functions, in Analytic Tableaux and Related Methods, pp. 1 – 13, 1999.

The 21 consonant letters in the English alphabet are B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z, and usually W and Y: The letter Y stands for the consonant in " yoke ", the vowel in " myth " and the vowel in " funny ", and " yummy " for both consonant and vowel, for examples ; W almost always represents a consonant except in rare words ( mostly loanwords from Welsh ) like " crwth " " cwm ".

* The cofinality of the real numbers with their usual ordering is ℵ < sub > 0 </ sub >, since N is cofinal in R. The usual ordering of R is not order isomorphic to c, the cardinality of the real numbers, which has cofinality strictly greater than ℵ < sub > 0 </ sub >.

The DCT that is widely used in this regard was introduced by N. Ahmed, T. Natarajan and K. R. Rao in 1974 ; see Reference 1 in discrete cosine transform.

* N. Ahmed and K. R.

The number of stars in the galaxy now, N < sup >*</ sup >, is related to the star formation rate R < sup >*</ sup > by

* Symmetric and transitive: The relation R on N, defined as aRb ↔ ab ≠ 0.

Because there are fast algorithms for the DHT analogous to the fast Fourier transform ( FFT ), the DHT was originally proposed by R. N. Bracewell in 1983 as a more efficient computational tool in the common case where the data are purely real.

* R. N. Bracewell, " Discrete Hartley transform ," J. Opt.

* R. N. Bracewell, " The fast Hartley transform ," Proc.

* R. N. Bracewell, The Hartley Transform ( Oxford Univ.

* Bracewell, R. N.

* Bracewell, R. N., Radio Interferometry of Discrete Sources ( Proceedings of the IRE, January 1958 )

* Bracewell, R. N., The Fourier Transform and Its Applications ( McGraw-Hill, 1965, 2nd ed.

* Bracewell, R. N., Trees on the Stanford Campus ( Stanford: Samizdat, 1973 )

* Bracewell, R. N., The Galactic Club: Intelligent Life in Outer Space ( Portable Stanford: Alumni Association, 1974 ) ( also translated into Dutch, Japanese, and Italian )

* Bracewell, R. N., The Hartley Transform ( Oxford University Press, 1986 ) ( also translated into German and Russian )

* Bracewell, R. N., Two-Dimensional Imaging ( Prentice-Hall, 1995 )

* Bracewell, R. N., Fourier Analysis and Imaging ( Plenum, 2004 )

* Bracewell, R. N., Trees of Stanford and Environs ( Stanford Historical Society, 2005 )

The discrete version of the transform, the Discrete Hartley transform, was introduced by R. N. Bracewell in 1983.

* Bracewell, R. N., The Fourier Transform and Its Applications ( McGraw-Hill, 1965, 2nd ed.

* Bracewell, R. N., The Hartley Transform ( Oxford University Press, 1986 ) ( also translated into German and Russian )

* Bracewell, R. N.,, Proc.

* R. N. Bracewell, The Fourier Transform and Its Applications, McGrawHill Book Company, New York, 1978

Other founders recognized by AMIGOS are H. Kirby Atwood, Sr., Searcy Bracewell, Raymond Cook, Ed Frank, Jr., Carlos R. Hamilton, MD, Victor Huvelle, Mariann and John Marshall, Ed Morris, and Wilson J. Pais.