the mathematical theory of elasticity

... structures of the molecules. These structures are therefore not of immediate concern in the kinetic theory of gases; they determine the exterior fields of force, which form the outworks of the molecule, ... quantum theory of collisions (so far as it affects the theory of the transport phenomena in gases), and on the theory of conduction and diffusion in ionized gases, in the presence of electric ... extent from these usual or normal conditions. These results of statistical mechanics, and others of a like kind, illustrate the use made of probability in the kinetic theory of gases. The results...

Ngày tải lên: 13/02/2014, 23:20

... predicted on the basis of the Nambu equations of motion, and anti-rigid if the correction terms act to enhance the curvature of the world sheet. Numerical simulation of the collapse of a circular loop of ... assume their false vacuum values (n and 1 respectively) on the axis of symmetry, and fall off exponentially with the cylindrical radius ρ. The centre of the string is, therefore, the set of points ... detail). However, in the case of an infinite string in the shape of an oscillating helix, the effect of the corrections is to increase the curvature at some points on the world sheet and reduce it at others....

Ngày tải lên: 17/03/2014, 14:48

Ngày tải lên: 04/06/2014, 12:29

... cost of the employment in question [1] . The excess of the value of the resulting output over the sum of its factor cost and its user cost is the profit or, as we shall call it, the income of the ... AND THE MULTIPLIER Book IV: The Inducement to Invest 11. THE MARGINAL EFFICIENCY OF CAPITAL 12. THE STATE OF LONG-TERM EXPECTATION 13. THE GENERAL THEORY OF THE RATE OF INTEREST 14. THE ... MONEY-WAGES o PROFESSOR PIGOU'S &apos ;THEORY OF UNEMPLOYMENT' 20. THE EMPLOYMENT FUNCTION 21. THE THEORY OF PRICES Short Notes Suggested by the General Theory 22. NOTES ON THE TRADE...

Ngày tải lên: 15/12/2013, 21:15

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Ngày tải lên: 31/12/2013, 23:30

... is the cornerstone of the RNA World. Nevertheless, there is a lot going for the RNA World (Bernhardt summarizes much of the evidence, and I add more below) whereas the other hypothes es on the ... existed already at the late stages of the hypothetical RNA World [92]. All this discussion is not pointless play with hypotheses. Realization of the unique status of the RNA World among the origin of life ... Because of the ability of these naturally occurring RNA riboswitches to bind protein enzyme cofactors, and because many of these cofactors possess non-functional fragments of RNA – one of the earliest...

Ngày tải lên: 13/03/2014, 19:12

... represented by a set of states of the automaton A recognizing L. The cardinal of the set of subsets (of the set of states) is 2ca'd(d(L)). This number 0 Theorem 4 Let L be ... places of their recog- nizing nets. 1 Preliminaries As well-known, the Petri net is a mathematical model of parallel and dis- tributed computing systems. In the last years, the theory of ... [2-31). As we shall see in the sequel, in the theory of growth function, only the state growth speed of the system matters, no attention is paid to the states themselves. This implies that...

Ngày tải lên: 15/03/2014, 12:20

... familiarity with the elementary topology of topological groups and of the real and complex number fields. Most of the material of these notes is to be found in the notes of Artin and the books of Artin, ... fields. These lec- tures were preceded by an elementary course on group theory, vector spaces and ideal theory of rings—especially of Noetherian rings. A knowledge of these is presupposed in these ... The restriction of elements of g to L ′ are automorphisms of L ′ with L as fixed field (by definition of L). By finite galois theory these are all the elements of the galois group of L ′ /L. This...

Ngày tải lên: 16/03/2014, 15:20

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Ngày tải lên: 17/03/2014, 14:44

... part by The American Institute of Mathematics. ON THE K -THEORY OF LOCAL FIELDS 33 where M gp is the group completion (or Grothendieck group) of M and   denotes the submodule generated by the indicated ... −→ · · · , two out of three of the vertical maps are isomorphisms. Hence, so are the remaining vertical maps. To prove the claim, we consider the diagram of ON THE K -THEORY OF LOCAL FIELDS 45 0 ... MADSEN Proof. If a ∈ A ∩ K × then av K (a) ∈ K , and hence, the composition of the two maps in the statement is zero. Only the exactness in the middle needs proof. Let ad log b be an element of ω 1 (A,M) and...

Ngày tải lên: 22/03/2014, 15:21

... conviction of illegal suppliers obviously depend on the extent of the difference between the social and private value of consumption of illegal goods, but they also depend crucially on the elasticity of ... revenue. The left hand side of eq. (12a) is the marginal cost of enforcement, including the effects on output and the odds ratio. The right hand side is the marginal benefit of the reduction ... increases since the drop in the scale of production can more than offset the increased cost per unit. So the elasticity of demand is key on both the cost and benefit sides of enforcement....

Ngày tải lên: 23/03/2014, 20:20

... desired. The ratio of the actual rate of transmission to the capacity C may be called the efficiency of the coding system. This is of course equal to the ratio of the actual entropy of the channel ... . Theorem 16: If the signal and noise are independentand the received signal is the sum of the transmitted signal and the noise then the rate of transmission is R H y H n i.e., the entropy of the ... channel, and the savings possible due to the statistical structure of the original message and due to the nature of the final destination of the information. The fundamental problem of communication...

Ngày tải lên: 08/04/2014, 12:06

... manifested by these superconducting oxides have become one of the most exciting and challenging topics in the field of the electron theory of metals. Originally, the electron theory of metals was ... accom- plishments in the electron theory of metals since the advent of the Sommerfeld free-electron theory. Naturally, the higher the superconducting transition tem- perature, the more likely are possible ... T c . The theory of super- conductivity was established in 1957 by Bardeen, Cooper and Schrieffer [25]. The so called BCS theory has been recognized as one of the greatest accom- plishments in the...

Ngày tải lên: 24/04/2014, 17:13

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Ngày tải lên: 13/05/2014, 12:24