... Control of e∂ ¯ 2.5.2 Analysis of neighbourhoods of antiholomorphic bubbles 2.5.3 Neck surgery and energy quantization 2.5.4 Assembly ofthe proof of Theorem 1.2 Heat flow — the proof of Theorem ... cover the set Ω, and with the property that the union ofthe ˆ discs D2β lie within the slightly larger set Ω Adding together theestimatesofthe form (2.59) which hold for each disc Dβ , we then ... Consequences of Theorem 1.1 There are a number of convergence statements for the energies E, E∂ and E∂ which follow from Theorem 1.1 when ¯ we accept the hypotheses of Theorem 1.2 Since we shall need them...
... density andthe volumetric energy content ofthe mixture The increase of higher hydrocarbons leads to an increase in the volumetric energy content On the other hand, the increase of amount of inert ... detail the applications of fluidized-bed combustors as well as the phenomenon of fluidization andthe physical fundamental aspects ofthe fluidized-bed Furthermore, the theoretical study of heat ... moisture in the fuel divided by the mass ofthe moisture plus the mass ofthe dry fuel and ash The world’s most prominent natural solid fuel resource is coal Coal, remnants of plants and other vegetation...
... detail the applications of fluidized-bed combustors as well as the phenomenon of fluidization andthe physical fundamental aspects ofthe fluidized-bed Furthermore, the theoretical study of heat ... chapter 2, the basic definitions for premixed and diffusion laminar flames are given Since the tasks ofcombustion flow diagnostics are to increase the fundamental understanding of aspects of combustion, ... experimental methods and techniques, form the principal objective of this chapter These studies are complementary, and necessary to enhance the understanding ofthe flow, chemistry, mixing, and heat transfer...
... density andthe volumetric energy content ofthe mixture The increase of higher hydrocarbons leads to an increase in the volumetric energy content On the other hand, the increase of amount of inert ... moisture in the fuel divided by the mass ofthe moisture plus the mass ofthe dry fuel and ash The world’s most prominent natural solid fuel resource is coal Coal, remnants of plants and other vegetation ... molecules and concerns itself with the actions of these individual molecules The second view is concerned with the effect ofthe action of many molecules, and considers the average properties of a...
... work was supported by the 973 Project, the PCSIRT Project ofthe Ministry of Education, the Ministry of Science and Technology, andthe National Science Foundation of China The fourth author is ... 2, 3, 4, and they can be found in the webpage of this article Also, once recurrences are found, they are very efficient in extending the counting sequences In the same page one can find the sequences ... priori bounds for the order ofthe recurrence, and for the degrees of its polynomial coefficients, any empirically derived recurrence (using the command listtorec in the Salvy-Zimmerman Maple package...
... solved The coupled structure ofthe IDT andthe part ofthe host plate beneath IDT is considered as the near field, while the remaining part ofthe plate beyond the IDT is considered as the far ... andthe crack LAS Distance between the actuator andthe sensor LCS Distance between the sensor andthe crack l Length of piezoelectric layer lc Integral path of wavenumber Ppq Cross product of ... History of Elastic Wave Theories The study of wave and vibration phenomena dates back hundreds of years Most early studies were associated with the observation of musical tones or water wavesThe theory...
... as the first, except that the stop() command stops the messages_mc timeline from playing If the handleMessages() function is not passed either a value of "play" or "stop", the last part ofthe ... rewind), and tells the messages_mc instance to play() If the function is passed a value of "stop", the second part ofthe conditional statement is executed This part ofthe statement does almost the ... two lines of script within the else part ofthe statement handle this common functionality in either case Following that, the value of action is further evaluated If action has a value of "ff",...
... component to the model ofthe choice ofthe length of stay The decision depends on the value ofthe unobservable taste We can now construct the probability of observing a series of stay decisions ... using the maximum ofthe expected value ofthe two coin flips—$0.50— rather than the expected value ofthe maximum—$0.75.) This approximation resulted in a model that the computer hardware and software ... Comparing the Dynamic Retention Model andthe Annualized Cost of Leaving Family of Models 15 The key difference from the DRM is that the ACOL is computing the maximum ofthe expected values rather...
... reporting system and it can be an asset for standardizing the PMTCT reports Even before the scaling up ofthe HMIS across the city, the quality ofthe PMTCT reports seem to be good; over 90% the reports ... of standard testing algorithm, unreliable supply of test kits and other logistics, variable training among professionals who are doing the testing and lack of quality control system [12,21] The ... comparability ofthe two estimates; papers from Cameroon and Botswana asserted the comparability ofthe two estimatesand suggesting its potential utility for HIV monitoring In contrast, although the overall...
... on the right hand side of (1.12) by F (z) Then for large |z| by Rouches’ theorem the number ofthe zeros of F (z) inside the contour equals the number ofthe zeros sin number ofthe zeros of ... hold Then for α > nm lim m→∞ (λn − µn − (qψn , ψn )) = 0, (2.1) n=1 where {ψn } are orthonormal eigenvectors ofthe operator L0 The proof of this lemma is analogous to the proof of Lemma and Theorem ... the corresponding operator by L, so L = L0 + q In this article theasymptoticsof eigenvalues andthe trace formula of operator L will be studied In [1] the regularized traces of all orders of...
... on the right hand side of (1.12) by F (z) Then for large |z| by Rouches’ theorem the number ofthe zeros of F (z) inside the contour equals the number ofthe zeros sin number ofthe zeros of ... hold Then for α > nm lim m→∞ (λn − µn − (qψn , ψn )) = 0, (2.1) n=1 where {ψn } are orthonormal eigenvectors ofthe operator L0 The proof of this lemma is analogous to the proof of Lemma and Theorem ... the corresponding operator by L, so L = L0 + q In this article theasymptoticsof eigenvalues andthe trace formula of operator L will be studied In [1] the regularized traces of all orders of...
... individual trees and defined the product ofthe squared diameter andthe length ofthe branch beginning at the base ofthe segment, a proxy ofthe volume of that part ofthe branch, as the auxiliary ... The analyses consider the entire population of paths of each tree (eq [1]) andthe true totals and variances ofthe target variables andtheestimatesofthe totals, respectively Choice ofthe ... made andthe results of an analysis using real data are presented The analysis ofthe effects ofthe crown structure concentrates on the stratification ofthe crown and on the deletion of greater...
... occur is deferred to the last section because it involves a series of fairly lengthy constructions and is not needed for the proof ofthe other theorems The case R = of Theorem was done by Bell ... holds and so, case LC implies (c) Proof of Theorem Proof (of (a)): If R = 0, there is nothing to prove Otherwise, the hypothesis asserts that [xn ] C(x)2 ≤ [xn ] M C(x) for some M < ∞ and n sufficiently ... Forests of various sorts provide easy examples for the application of Theorem These and other graphical examples are discussed by Compton [10] and by Knopfmacher and Knopfmacher [18] in their interesting...
... from the proof of Lemma in our proof of Theorem 1, we will include the full proof of Lemma there As examples of these lemmas, for the symmetric group, which has m = n(n − 1)/2 roots, the asymptotic ... highest weight µ in the kth tensor power ofthe defining representation of GLn , the number of up-down tableaux of shape µ of size k on at most n rows is the multiplicity ofthe representation ... we have in (3) and (4) Lemma The degree ofthe difference operator D is the number m of positive roots if the Weyl group W is any ofthe classical groups the electronic journal of combinatorics...
... to me that a theorem of M Hall shows that the number N(n, 2) of subgroups of index n in a free group of rank is equal to n!ntn (see (1) below and [6]) On the other hand, a result of Comtet [4] ... parts then, as usual, we define the Young subgroup Y (Π) as the subgroup of Sn consisting of all elements which map each ofthe parts Σi into itself The set of Young subgroups of Sn is a lattice, and ... (respectively fS (Π)) be the number of pairs (x, y) of elements from An (respectively, Sn ) such that the parts of Π are the orbits ofthe group x, y generated by x and y Similarly let gA (Π) and gS (Π),...
... above and below by exponential functions of n, bounded above and below by functions ofthe form ncn , andofthe form Ω(ncn ) for every c The structure of graphs in the first three layers is rather ... in the lower part we surround its neighborhood in the upper part with two parentheses indicating the beginning andthe end ofthe interval The record now consists of a list of vertices in the ... graph G, we denote by V (G) and E(G) the vertex set andthe edges set of G respectively The complement of G is denoted G The neighborhood of v ∈ V (G) is the set of vertices adjacent to v For...
... 1999), the PL face patch ofthe IT cortex (Issa & DiCarlo, 2012), as well as other IT regions ofthe cortex (Matsumoto, et al., 2005) Also, microstimulation of sites in the lower bank ofthe STS and ... (LGN) and projects to the remaining layers of V1 and from there to V2 The response latencies of cells in V1, outside of layer 4, were 70 ms (young) and 84 ms (old) and in V2, 82 ms (young) and ... in fulfilment ofthe requirements for the degree of PhD 28 February 2014 Institute of Neuroscience and Psychology School of Psychology College of Science and Engineering University of Glasgow A...
... variable linking the aggregate demand for goods andthe price level The price level is the average price of all the goods produced in the economy 26.2 The macroeconomic demand schedule LM0 ... LM1, and real income at Y1 The macroeconomic demand schedule (MDS) connects these points 26.3 The macroeconomic demand schedule LM0 r P P0 P1 Y0 The MDS shows the different LM1 combinations ofthe ... relaxed 26.1 The price level and aggregate demand The CLASSICAL model of macroeconomics analyses the economy when wages and prices are fully flexible The real money supply is the key variable...
... prosthesis itself, providing for a narrative of origin and fantasy of authenticity and control In Monolingualism ofthe Other or The Prosthesis of Origin, Derrida speaks quite clearly ofthe ... borders of nation andof other institutions 154 Chapter Four Dichotomies and spaces ofthe speed- elite: activism, academia, andthe carrying forward of justice 4.1 The plot thickens: the quest ... interesting ‘accident’ ofthe growth within the alter-globalist movement of these reciprocal annoyances and fights which each other, is then that the event ofthe coming together of such historically...
... = F0 (t) and Fs (t) is the absolute value ofthe sth remainder ofthe Taylor series ofthe exponential exp(−t) The following lemma shows that the problem of estimations ofthe volume of smooth ... (6.3) and (6.5) The fundamental idea ofthe proof relies on the structure of (6.3) and (6.5) allowing to represent the volume ofthe continuous and smooth s-dimensional HCs as a sum of volumes of ... (1.6) To the knowledge ofthe authors, so far these estimates have been unknown From this basic result and new tight two-sided estimatesofthe cardinalities of Γ(s, T, a) and Γ± (s, T, a) by the...