dimension of the pullback attractor

... 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 of the slit torus T \ w0 along their boundaries so that the upper edge of the slit in one copy is attached to the lower edge of the 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...

Ngày tải lên: 14/02/2014, 17:20

... 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 of the exploratory ... JSSM The Social Dimension of 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 of the ... factors of the social dimension of the occupation The occupational prestige is about the status of an occupation in the occupational structure [22] That is, the occupational prestige is the status...

Ngày tải lên: 11/09/2013, 11:44

... estimate We have Main result Main Theorem Let µ be the 5−fold convolution of the standard Cantor measure, then the lower extreme value of the local dimension of 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 of the corollary follows 2.2 The proof of the main theorem Lemma Let x = (x1 ... Corollary and Proposition 2, we have Theorem Let µ is the 5−fold convolution of the standard Cantor measure, then the lower extreme value of the local dimension of µ is √ √ arccos 427 59 145 log...

Ngày tải lên: 13/02/2014, 03:20

... 3, we prove the maximal sequences, it is used to find the lower local dimension The proof of the 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...

Ngày tải lên: 13/02/2014, 04:20

... are grouped in Annex at the end of the document EN II II.1 Apart from the human suffering it causes, the economic consequences of the 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 of the ... The objective of the Platform is to catalyse voluntary action across the EU by business, civil society and the public sector Members of the Platform include the key EU-level representatives of...

Ngày tải lên: 14/02/2014, 13:20

... (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 of the most influential interpretations of the fate of art in recent decades, Arthur Danto’s Snyder challenges Danto’s analysis of the current plurality of artistic styles as the result of the ... Western aesthetic tradition of interpreting the arts, that of the “counter-modern aesthetics” This is at least what Berta Pérez’s discussion of the aesthetic aspect of Žižek’s Lacanian reading of films...

Ngày tải lên: 19/02/2014, 07:20

... with the general level of socioeconomic development 32 The second phase of the analysis entails the calculation of the simple indices for each of the indicators for each of the 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 of the capitalist system was the reason for the underdevelopment of the 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 of the thesis Chapter contains a review of spatial...

Ngày tải lên: 20/02/2014, 16:20

... 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 of the 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 of the 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...

Ngày tải lên: 14/03/2014, 13:20

... a “mother ship” and are equipped with modern weaponry.2 At the high end of the 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 of the University of Reading, UK, and William Rosenau of the RAND Corporation—for sharing their insights,...

Ngày tải lên: 15/03/2014, 22:20

... to the Netherlands for consumption there) The water footprints of people are increasingly externalised to other parts of the 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 dimension of water governance in virtual form or even in real form The other side of the coin is the ... location of the pollution, but a more cause-oriented approach would be restructuring the global economy, with the aim of the closure of element cycles Making adjustments to the organization of the...

Ngày tải lên: 23/03/2014, 00:20

... part of a connected ˆ component of trace singularities, that supports an integral hypersurface S Structure of the proof : We divide the proof of the 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 of the proof of the 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 the pullback of du/u under the multiform map u = xλ1 · · · xλτ The formally ramified saddle-node cases of b-k) are the τ pullback of the saddle...

Ngày tải lên: 28/03/2014, 22:20

... 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 of the Condition of the Wounded and Sick in Armed Forces in the Field) 118 Geneva Convention 1949 II (for the Amelioration of the Condition of Wounded, Sick ... sources of disease from the social environment, treating the person as the innocent victim of the dangers of nature Modern public health is characterised by an understanding of the dynamic of relationships...

Ngày tải lên: 30/03/2014, 09:20

... Figure The top graph shows the frequency distributions of the number of sheep (on the vertical axis) against their fractal dimension (on the horizontal) The bottom graph shows the sum of the ratings ... Judgments of time, aesthetics, and complexity as a function of the fractal dimension of images formed by chaotic attractors Presented at the annual conference of the 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,...

Ngày tải lên: 30/03/2014, 16:20

... effect of depression on the mental aspect of QoL went through the mediator of pain, and over 72% of the 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% of the 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 of the socio-demographic variables predicted QoL (all p > 0.05); they were therefore...

Ngày tải lên: 18/06/2014, 19:20

... (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 of the ... 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 of the 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...

Ngày tải lên: 20/06/2014, 22:20

... state a theorem about the existence of weak solution in the weighted spaces This in turn will entail making refined estimates on the dimension of the 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 of the global attractor for the TYC system The estimates are quite ... without the help of the “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...

Ngày tải lên: 21/06/2014, 11:20

... 22 The Systemic Dimension of Globalization  There is absoluteness of the epistemic stock of knowledge, viz., unity of knowledge to form the substance or theme of the Summit  The vastness of ... part of the theory of unity of knowledge on the issues and problems of the world-system res extensa is established by the estimation followed by simulation of the wellbeing function, subject to the ... in the resources of the planet earth The principle of pervasive complementarities is thereby the simulated normative consequence of improving on all relations of the positivistic nature, either...

Ngày tải lên: 27/06/2014, 07:20

... , 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...

Ngày tải lên: 06/08/2014, 05:20

... 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 ˜ of the Bruhat order on AK is greater than or equal to the order dimension of the 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 of the proof of the finite case [14, Theorem 6] Proof of Theorem 1.2 If Irr(P...

Ngày tải lên: 07/08/2014, 08:22

... algorithm for computing the metric dimension of a tree They also obtain an upper bound for the metric dimension of the d-dimensional grid, showing that to compute the metric dimension of 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...

Ngày tải lên: 08/08/2014, 12:22