... 2R R α 2/Q Figure The parallelogram Σ(α, R, Q) The proof of Theorem relies on the following fact: Theorem Let Spec(α) be the sequence of heights formed by the convergents of α There exist constants ... scale factor of 2) by gluing two copies ofthe slit torus T \ w0 along their boundaries so that the upper edge ofthe slit in one copy is attached to the lower edge ofthe slit in the other, and ... Roth’s theorem every algebraic integer satisfies the hypothesis of Theorem Some generalizations of Theorem are mentioned in Section For the class of Veech billiards (see [V2]) the set of nonergodic...
... accountability of these three factors was 63.08%, and the result of Bartlett test of sphericity showed the p-value of 0.000 with the KMO value of 0.90 Table shows the result ofthe exploratory ... JSSM The Social Dimensionof Service Workers’ Job Satisfaction: The Perspective of Flight Attendants 167 the goodness of fit But, the value of AGFI was under 0.9 Even if the AGFI value ofthe ... factors ofthe social dimensionofthe occupation The occupational prestige is about the status of an occupation in the occupational structure [22] That is, the occupational prestige is the status...
... estimate We have Main result Main Theorem Let µ be the 5−fold convolution ofthe standard Cantor measure, then the lower extreme value ofthe local dimensionof µ is α5 = | log 3.25 √ arccos 145 ... Thanh et al / VNU Journal of Science, Mathematics - Physics 25 (2009) 57-68 65 From (13), (14) and (15), the assertion ofthe corollary follows 2.2 The proof ofthe main theorem Lemma Let x = (x1 ... Corollary and Proposition 2, we have Theorem Let µ is the 5−fold convolution ofthe standard Cantor measure, then the lower extreme value ofthe local dimensionof µ is √ √ arccos 427 59 145 log...
... 3, we prove the maximal sequences, it is used to find the lower local dimensionThe proof ofthe Main Theorem will be given in the last section The formula for calculating the local dimension Let ... each of them, the way to find α, α and E is quite different It is conjectured that the way to find them in the general case is dificult Let us recall that for s ∈ supp µ the local dimension α(s) of ... - partial sum of t So we get α α= Therefore The claim is proved To complete the proof of our Main Theorem it remains to prove the following claim 4.3 Claim For any β ∈ ( , 1) there exists s...
... are grouped in Annex at the end ofthe document EN II II.1 Apart from the human suffering it causes, the economic consequences ofthe increasing incidence of obesity are of particular importance ... the Commission services will assume that they not object to having their responses, or parts thereof, published on the Commission’s website and/or quoted in reports analysing the outcome ofthe ... The objective ofthe Platform is to catalyse voluntary action across the EU by business, civil society and the public sector Members ofthe Platform include the key EU-level representatives of...
... (affect theory, “power of images”, theories of presence) there are quite important differences I think the justification of bringing them together is that it is worth noting the confluence of these ... one ofthe most influential interpretations ofthe fate of art in recent decades, Arthur Danto’s Snyder challenges Danto’s analysis ofthe current plurality of artistic styles as the result ofthe ... Western aesthetic tradition of interpreting the arts, that ofthe “counter-modern aesthetics” This is at least what Berta Pérez’s discussion ofthe aesthetic aspect of Žižek’s Lacanian reading of films...
... with the general level of socioeconomic development 32 The second phase ofthe analysis entails the calculation ofthe simple indices for each ofthe indicators for each ofthe components of socio-economic ... system The school of thought had it origins in neo-Marxist ideas of structuralism They held the view that the expansion ofthe capitalist system was the reason for the underdevelopment ofthe countries ... demarcated in the spatial economy of Zimbabwe The aim of these policies is the reduction of inequalities in the spatial economy 1.7 Organisation ofthe thesis Chapter contains a review of spatial...
... result is the following: Main Theorem For a = we have α = 1, α = − √ log(1+ 5)−log , 1] log √ log(1+ 5)−log 2 log and E = [1 − The proof ofthe Main Theorem will be given in Section The next section ... i∈Ej 43 ki i∈Oj Then nj = oj + ej 3.2 Claim With the above notation we have j nj−1 oj = ; lim = and lim = r j→∞ nj j→∞ nj j→∞ nj lim Proof The proof ofthe first limit is trivial The second limit ... Describle the local dimension for the (0, 1, a)- problem, where a ∈ N is a natural number Note that the local dimension is an important characteristic of singular measures For a = 3k + the measure...
... a “mother ship” and are equipped with modern weaponry.2 At the high end ofthe spectrum are assaults involving the outright theft of ships and their subsequent conversion for the purposes of illegal ... increase over the mean of 209 recorded for the period of 1994–1999 The concentration of pirate attacks continues to be greatest in Southeast Asia, especially in the waters around the Indonesian ... Acknowledgments The author would like to thank the two reviewers of this monograph—Martin Murphy ofthe University of Reading, UK, and William Rosenau ofthe RAND Corporation—for sharing their insights,...
... to the Netherlands for consumption there) The water footprints of people are increasingly externalised to other parts ofthe world Consumers generally not pay for the negative effects of their ... exploit their potential in the past, they now increasingly so by exporting water 20 / The global dimensionof water governance in virtual form or even in real form The other side ofthe coin is the ... location ofthe pollution, but a more cause-oriented approach would be restructuring the global economy, with the aim ofthe closure of element cycles Making adjustments to the organization of the...
... part of a connected ˆ component of trace singularities, that supports an integral hypersurface S Structure ofthe proof : We divide the proof ofthe theorem in two parts The first part is the reduction ... centers of very good blowing-ups in order to eliminate the bad points and we give the end ofthe proof ofthe main Theorem of reduction to presimple singularities We that under the assumption that the ... (Z≥0 )τ −k The formal linear case given in a) is thepullbackof du/u under the multiform map u = xλ1 · · · xλτ The formally ramified saddle-node cases of b-k) are the τ pullbackofthe saddle...
... issues of law and gender, and criminology Professor Robyn Martin is Professor of Law at the University of Hertfordshire, and has taught at the University of Hong Kong and the University of Bristol ... Convention 1949 I (for the Amelioration ofthe Condition ofthe Wounded and Sick in Armed Forces in the Field) 118 Geneva Convention 1949 II (for the Amelioration ofthe Condition of Wounded, Sick ... sources of disease from the social environment, treating the person as the innocent victim ofthe dangers of nature Modern public health is characterised by an understanding ofthe dynamic of relationships...
... Figure The top graph shows the frequency distributions ofthe number of sheep (on the vertical axis) against their fractal dimension (on the horizontal) The bottom graph shows the sum ofthe ratings ... Judgments of time, aesthetics, and complexity as a function ofthe fractal dimensionof images formed by chaotic attractors Presented at the annual conference ofthe Society for the Chaos Theory ... distributions with these four categories: on the top in Fig is the number of sheep of that dimension (bins are 0.05 wide), on the bottom is the sum total of ratings of sheep of that dimension In short,...
... effect of depression on the mental aspect of QoL went through the mediator of pain, and over 72% ofthe effect was direct When depression was the mediator, depressive symptoms accentuated the negative ... effects of pain on physical QoL The indirect effect of depression on the pain-QoL link pathway was 0.08, indicating that about 75% ofthe effect of pain on QoL impacted through the mediator of depression, ... test each of these three-variable mediation chains The results of separate regression analyses showed none ofthe socio-demographic variables predicted QoL (all p > 0.05); they were therefore...
... (2) of Lemma 2.3 This theorem follows from (3.3), (3.4), and Lemma 2.3 The main result in this article is given by the following theorem, which provides the existence of global attractors ofthe ... closure of H1 in H2(Ω) and Hk = H2k(Ω) ∩ H1 for k ≥ Before the main result in this article is given, we show the following theorem, which provides the existence of global attractors ofthe extended ... http://www.boundaryvalueproblems.com/content/2011/1/39 Page of 10 In this article, we shall use the regularity estimates for the linear semigroups, combining with the classical existence theorem of global attractors, to prove that the extended...
... state a theorem about the existence of weak solution in the weighted spaces This in turn will entail making refined estimates on thedimensionofthe global attractor for TYC system, when the phase ... Improved Estimates for the Global Attractor In 14 , we derive estimates on the upper bound for the Hausdorff and Fractal dimensions ofthe global attractor for the TYC system The estimates are quite ... without the help ofthe “weight” However this result has intuitive meaning Theorem 7.2 tells us there is an inverse relationship between the upper bound M on the Hausdorff dimension for the attractor...
... 22 The Systemic Dimensionof Globalization There is absoluteness ofthe epistemic stock of knowledge, viz., unity of knowledge to form the substance or theme ofthe Summit The vastness of ... part ofthe theory of unity of knowledge on the issues and problems ofthe world-system res extensa is established by the estimation followed by simulation ofthe wellbeing function, subject to the ... in the resources ofthe planet earth The principle of pervasive complementarities is thereby the simulated normative consequence of improving on all relations ofthe positivistic nature, either...
... , from [1] there exists a neighborhood of x persisting in the Fatou set for large n Therefore the original sequence satisfies J(fn ) → J(f ) The proof of Theorem is complete Proof of Theorem Since ... n→∞ s→∞ the proof of theorem is complete Open Question I not know any example satisfying the hypothesis of Theorem Acknowledgments I am grateful to the referee and the editor for reading the first ... prove the theorems; the proof is divided into parts Let f , fn be rational functions We have the following lemma; see [1] Lemma 3.1 If fn → f algebraically, then J(f ) ⊂ lim inf J(fn ) Proof of Theorem...
... for n ≥ The bounds of Theorem 1.1 arise from the following theorem, the finite case of which is [14, Theorem 6] Theorem 1.2 If P is a finitary poset of finite or countable cardinality, then width(Dis(P ... to the Bruhat order on W Thus in particular, the order dimension ˜ ofthe Bruhat order on AK is greater than or equal to the order dimensionofthe Bruhat n order on An In [14], the order dimension ... [11] this property of a finite poset is called “clivage.” We now prove Theorem 1.2 by a straightforward modification ofthe proof ofthe finite case [14, Theorem 6] Proof of Theorem 1.2 If Irr(P...
... algorithm for computing the metric dimensionof a tree They also obtain an upper bound for the metric dimensionofthe d-dimensional grid, showing that to compute the metric dimensionof an arbitrary ... study The center of a graph is the subgraph induced by the vertices of minimum eccentricity The center of a tree is either one vertex v0 or one edge v1 v2 (see [18, 26]) In the first case, v0 is the ... (G H) The projection of S onto G is the set of vertices u ∈ V (G) for which there exists a vertex (u, v) ∈ S The projection of S onto H is defined analogously A column of G H is the set of vertices...