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.

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.

About the same time, C. R. Rao introduced the concepts of orthogonal arrays as experimental designs.

Some important contributors to the field of experimental designs are C. S. Peirce, R. A. Fisher, F. Yates, C. R. Rao, R. C. Bose, J. N. Srivastava, Shrikhande S. S., D. Raghavarao, W. G. Cochran, O. Kempthorne, W. T. Federer, V. V. Fedorov, A. S. Hedayat, J.

A widely used transform in this regard is the Discrete Cosine Transform ( DCT ), developed by in 1974 by N. Ahmed, T. Natarajan and K. R. Rao ; see Reference 1 in discrete cosine transform.

The most common variant of discrete cosine transform is the type-II DCT, which is often called simply " the DCT ", ( N. Ahmed, T. Natarajan and K. R. Rao, 1974 ; K. R. Rao and P. Yip, 1990 ); its inverse, the type-III DCT, is correspondingly often called simply " the inverse DCT " or " the IDCT ".

This advantage, however, comes at the price of greater computational requirements if compared, for example and when applicable, to the discrete cosine transform, and in particular to the DCT-II which is simply known as the " DCT "; introduced by N. Ahmed, T. Natarajan and K. R. Rao in 1974 ; see Reference 1 of discrete cosine transform.

* C. R. Rao – statistician and professor emeritus at Penn State

Pramod, Sacon, Jagannatha Rao, R., FRLHTR.

** V. Britanak and K. R. Rao, " A new fast algorithm for the unified forward and inverse MDCT / MDST computation ," Signal Processing 82, 433-459 ( 2002 )

* Makeup department: Babu, R. Sundara Moorthy, M. Sathyam, Venkateswara Rao

* Professor K. R Rao, EE5359: Principles of Digital Video Coding.

* R. Venkata Rao

The specification uses the following existing file formats with the addition of specific metadata tags: JPEG DCT ( where DCT refers to the 1974 publication by N. Ahmed, T. Natarajan and K. R. Rao, Reference 1 in discrete cosine transform ) for compressed image files, TIFF Rev.

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.

Kuvempu, D. V. Gundappa, Da Ra Bendre, B. M. Srikantaiah, Masti Venkatesha Iyengar, Shivaram Karanth, V K Gokak, U R Ananthamurthy, P. Lankesh, Girish Karnad, G S Shivarudrappa, Gorur Ramaswamy Iyengar, Pu thi Narasimhachar, Chennavira Kanavi, Gopalakrishna Adiga, TaRaSu, A N Krishna Rao, Govinda Pai, S. L.

It gradually grew with the pioneering work of a group of his colleagues including S. S. Bose, J. M. Sengupta, R. C. Bose, S. N. Roy, K. R. Nair, R. R. Bahadur, G. Kallianpur, D. B. Lahiri and C. R. Rao.