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R and .
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.

R and Johanan
His rabbinic education was acquired mainly at Tiberias, in the academy presided over by R. Johanan, with whom his relations were almost those of a son ( Yer.
The enormous size of the Leviathan is described by R. Johanan, from whom proceeded nearly all the aggadot concerning this monster: " Once we went in a ship and saw a fish which put his head out of the water.
When the Leviathan is hungry, reports R. Dimi in the name of R. Johanan, he sends forth from his mouth a heat so great as to make all the waters of the deep boil, and if he would put his head into Paradise no living creature could endure the odor of him ( ib .).
Johanan bar Nappaḥa ( 199 – 279 ) has left the following important note relative to the composition and editing of the Mishnah and other halakic works: " Our Mishnah comes directly from Rabbi Meir, the Tosefta from R. Nehemiah, the Sifra from R. Judah, and the Sifre from R. Simon ; but they all took Akiva for a model in their works and followed him " ( Sanh.
This legend has been somewhat elaborately treated in Yiddish under the title, Ein ganz neie Maase vun dem Tanna R. Akiba, Lemberg, 1893 ( compare Tanna debe Eliyahu Zuṭṭa, xvii., where Johanan ben Zakkai's name is given in place of Akiba ).
When R. Johanan wished to initiate R. Eliezer in the Ma ' aseh Merkabah, the latter answered, " I am not yet old enough.
He was a pupil of Johanan ( d. 279 ); in a question regarding the time of the new moon, which he sent to Rav Ammi, he introduces a sentence taught to him by Johanan with the words: " Know that R. Johanan has taught us thus all his life long " ( R. H. 20a ).
Some statements in the book are attributed to R. Berechiah, R. Johanan, R. Bun, rabbis mentioned in the later midrashic literature.
According to R. Johanan, who wrote in the third century,
" R. Johanan said that, according to some, a baraita taught that one hundred and twenty elders, including some prophets, instituted the ' Shemoneh ' Esreh.
But in the Jerusalem Talmud, R. Johanan ( Meg.
He also computed a Hebrew calendar for sixty years, which he subsequently sent to R. Johanan, the head of the Palestinian teachers, as a proof of his knowledge ( Ḥul.
" R. Zera said in the name of R. Abbahu who quoted R. Johanan: These are the eighty thousand battle trumpets which assembled in the city of Bethar, when it was taken and men, women and children were slain in it until their blood ran into the Great Sea.

R and connected
Model example: if U and V are two connected open subsets of R < sup > n </ sup > such that V is simply connected, a differentiable map f: U → V is a diffeomorphism if it is proper and if
Ethers () are a class of organic compounds that contain an ether group — an oxygen atom connected to two alkyl or aryl groups — of general formula R – O – R '.
Representation of an organic compound | organic hydroxyl group, where R represents a hydrocarbon or other organic moiety, the red and grey spheres represent oxygen and hydrogen atoms, respectively, and the rod-like connections between these, covalent chemical bond s. A hydroxyl is a chemical functional group containing an oxygen atom connected by a covalent bond to a hydrogen atom, a pairing that can be simply understood as a substructure of the water molecule.
If an inductor is connected to a direct current source with value I via a resistance R, and then the current source is short-circuited, the differential relationship above shows that the current through the inductor will discharge with an exponential decay:
It has a closed connected subgroup SL < sub > n </ sub >( R ), the special linear group, consisting of matrices of determinant 1 which is also a Lie group.
This group is disconnected, but it has a connected subgroup SO < sub > n </ sub >( R ) of the same dimension consisting of orthogonal matrices of determinant 1, called the special orthogonal group ( for n = 3, the rotation group SO ( 3 )).
A connected abelian Lie group is isomorphic to a product of copies of R and the circle group S < sup > 1 </ sup >.
Because R is the Lie algebra of the simply connected Lie group R, this induces a Lie group homomorphism c: R → G so that
The Type IIA string theory and the Type IIB string theory were known to be connected by T-duality ; this essentially meant that the IIA string theory description of a circle of radius R is exactly the same as the IIB description of a circle of radius 1 / R, where distances are measured in units of the Planck length.
In the process, he discovered some interesting examples of simply connected non-compact 3-manifolds not homeomorphic to R < sup > 3 </ sup >, the prototype of which is now called the Whitehead manifold.
According to Damasio, decision-making regions of the brain are connected to the emotional centers, even after damage to the frontal lobe, a theory he tested on a subject referred to as E. V. R., who also had frontal lobe damage, specifically bilateral damage to his orbitofrontal cortices during removal of a brain tumor.
In the middle of the transition, the resistor R < sub > 3 </ sub > limits the current flowing directly through the series connected transistor V < sub > 3 </ sub >, diode V < sub > 5 </ sub > and transistor V < sub > 4 </ sub > that are all conducting.
The resistor R < sub > 3 </ sub > does not increase the output resistance since it is connected in the V < sub > 3 </ sub > collector and its influence is compensated by the negative feedback.
In partial differential equations, a domain is an open connected subset of the euclidean space R < sup > n </ sup >, where the problem is posed, i. e., where the unknown function ( s ) are defined.
In its general interpretation, a pseudosphere of radius R is any surface of curvature − 1 / R < sup > 2 </ sup > ( precisely, a complete, simply connected surface of that curvature ), by analogy with the sphere of radius R, which is a surface of curvature 1 / R < sup > 2 </ sup >.
The term " R / C " has been used to mean both " remote controlled " and " radio controlled ", where " remote controlled " includes vehicles that are connected to their controller by a wire, but common use of " R / C " today usually refers to vehicles controlled by a radio-frequency link.

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