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.

First is the Stefan – Boltzmann law, which relates the luminosity L, the radius R and the surface temperature T < sub > eff </ sub >.

Second is the mass – luminosity relation, which relates the luminosity L and the mass M. Finally, the relationship between M and R is close to linear.

While factorially distinct from Eysenck's previous R factor, the S-factor did positively correlate with the R-factor, indicating that a basic left – right or right – left tendency underlies both social values and economic values, although S tapped more into items discussing economic inequality and big business, while R relates more to the treatment of criminals, and to sexual issues and military issues.

The term itself relates to Japanese speakers ' tendency to inadvertently substitute the English phonemes " R " and " L " for one another, because the Japanese language has one alveolar consonant in place for both.

Wick rotation also relates a QFT at a finite inverse temperature β to a statistical mechanical model over the " tube " R < sup > 3 </ sup >× S < sup > 1 </ sup > with the imaginary time coordinate τ being periodic with period β.

Aquila relates Simon's parentage and his Samaritan origin, and declares that he claims to be greater than the God who created the world ( H 2. 22 ; R 2. 7 ).

Probably before this should come a long passage of R ( 1. 22 – 74 ) in which Peter speaks of Old Testament history ( 27 – 41 ) and then gives an account of the coming of the true Prophet, His rejection, Passion, and Resurrection, and relates the preaching to the Gentiles.

But R relates that seven other disciples were sent on, while Clement remained at Caesarea for three months with Peter, who repeated in private at night the public instructions he gave during the day ; all this Clement wrote down and sent to James.

She then relates the history of women's suffrage in France, New Zealand, Australia, the United Kingdom, the United States, Sweden, Norway, Finland, Germany and the U. S. S. R. Beauvoir writes that women who have finally begun to feel at home on the earth like Rosa Luxemburg and Marie Curie " brilliantly demonstrate that it is not women's inferiority that has determined their historical insignificance: it is their historical insignificance that has doomed them to inferiority ".

A Talmudic story about him relates that R. Yochanan was accustomed to go and sit at the gates of the bathing place.

The " rotten " connection, with a twist, is propounded by R V Jones who relates the tale that, due to a misunderstanding between the original developers and Lord Cherwell, development of the technology was delayed, the engineers thinking that Lord Cherwell wasn't keen on the idea.

Analogously to the Riemann zeta function, the values of the Dedekind zeta function at integers encode ( at least conjecturally ) important arithmetic data of the field K. For example, the analytic class number formula relates the residue at s = 1 to the class number h ( K ) of K, the regulator R ( K ) of K, the number w ( K ) of roots of unity in K, the absolute discriminant of K, and the number of real and complex places of K. Another example is at s = 0 where it has a zero whose order r is equal to the rank of the unit group of O < sub > K </ sub > and the leading term is given by

The Talmud relates that the people left the lecture-room of R. Chiyya, the darshan, and flocked to hear R. Abbahu, the maggid.

The principal changes in this SFFAS require federal entities to ( 1 ) describe the policies over maintenance and repairs ( M & R ) and the prioritization of M & R activities, ( 2 ) identify factors considered in determining acceptable condition standards, ( 3 ) identify the general property, plant and equipment ( PP & E ) and stewardship PP & E to which DM & R relates and provide the rationale for PP & E that may be excluded, ( 4 ) provide DM & R balances by category of PP & E, and ( 5 ) explain significant changes from the prior year.

Version R, however relates that Arngrim became Sigrlami's war-chief and won many battles and conquered land and subjects for the old king.

: This article relates to the works of the author J. R. R. Tolkien.

An important change in the GFCF boundary in the 2008 SNA relates to the treatment of expenditure on research and development ( R & D ).

The Talmud relates that due to R. Yochanan becoming so upset, Reish Lakish became ill and prematurely died.