... that many works are devoted to the problem of type of the existence of an invariant subspace of the linear operator (see, e.g., [15–18], etc.) and one of the essential results is obtained in [16] ... If K0 and K1 are disjoint closed convex subsets of a locally convex linear topological space X, and if K0 is compact, then there exist constants c and ε, ε > 0, and a non-zero continuous ∗ linear ... that the sets K0 and K1 are open relative to the subspaces X0 and X1 of X, respectively, and we will consider case For the proof in this case, we will use the theorem of Kakutani and Tukey [23]...
... foundations, and NGOs, now comes home to the USA, where it is sorely needed.” —Kevin Starr, University Professor and Professor of History, University of Southern California author of Americans and the ... the most useful of these are quite new These include the logic of game theory, of risk assessment theory, of the economics of uncertainty, of incentive structure theory, andof axiomatic moral ... into thin air And once you are tagged as on the Left, then you must remain on the Left, and vice versa Even entire think tanks are now regularly tagged Leftof center” or Rightof center.” When...
... 2 Journal of Inequalities and Applications Making use of the principle of subordination between analytic functions, we introduce the subclasses MS η, φ , MK η, φ and MC η, β; φ, ψ of the class ... 2.30 Thus the proof of Theorem 2.14 is completed The following results can be obtained by using the same techniques as in the proof of Theorem 2.14 and so we omit the detailed proofs involved Theorem ... Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 2000 J H Choi, M Saigo, and H M Srivastava, “Some inclusion properties of a certain family of integral operators, ”...
... notion of the central exponent and some properties of central exponents oflinear DAEs of index In Sec we investigate exponential asymptotic stability oflinear DAEs with respect to small linear ... derive some properties of the central exponent oflinear DAE of index andof its corresponding ODE Theorem 2.2 Suppose that (2.1) is a linear DAE of index and the matrices A(t), B(t), A−1 , P (t) are ... a C-function of im P (t) of (3.11) Thus, C-classes R of (2.1) and RUimP of the invariant subspace im P of the solution space of (3.11) coincide Suppose that xδ (t) is a solution of the perturbed...
... investigate the influences of both the structure of the original system and the random uncertain parameters on the stability and performance of the system, and demonstrate the application of this finding ... σ-algebra of the subsets of Ω, and P is the probability measure Let ∆(ω) : (Ω, F) → (R, B) be an R-valued random variable, where ω is the random event, and B is the σ-algebra of the Borel subsets of ... Beta Distribution: Range of x1 with randomly generated samples of ∆ Beta Distribution: Range of x2 with randomly generated samples of ∆ Beta Distribution: Plot of the first to the fourth...
... other hand, problem of finite-time H∞ control has attracted much attention due to its both practical and theoretical importance Various approaches have been developed and a great number of results ... proof of the theorem is completed Remark 3.1 Different from the previous results [8, 11-13], the Lyapunov function method is not used for the proof of Theorem 3.1 All the sufficient conditions of ... Finite-time control of discrete-time linear systems: Analysis and design conditions, Automatica, 46(2010), 919-924 [3] Zuo Z., Li H., Wang Y., New criterion for finite-time stability oflinear discrete-time...
... the order of the sum of two functions is not greater than the larger of the orders of the two summands, and if the orders of the summands andof the sum are all equal, then 21 the type of the sum ... zeros of functions such as ξ(z) in (1.1) is a part of the theory of the location and distribution of zeros of entire functions ∞ For a sequence of real numbers {γk }k=0 , we can define a linear ... Sagan and R P Stanley The result of P Br¨nd´n is extended, a e and a related question posed by S Fisk regarding the distribution of zeros of polynomials under the action of certain non -linear operators...
... insonation of both middle cerebral arteries (MCA) using simultaneous 64-point FFT and bigate technique An intensity threshold of = 11 dB and a time window of 20 seconds after the start of the injection ... consideration of gender-related differences Methods Subjects The records of 973 consecutive patients examined between January 1997 and December 2005 at the Neurovascular Laboratory of the Department of ... diagnosis of cerebral ischemia and those with artificial heart valves were excluded Complete clinical neurological examination, electrocardiogram, and sonographic examination of the extra- and intracranial...
... Vol 10 No Miranda et al Figure throughout the left ventricle allowed a volumetric interpolation of the whole left myocardium, allowing calculation of the endsystolic volume andof the end-diastolic ... of fat, fluid and soft tissues) The operator segmented in a semi-automatic mode the lung parenchyma of the right lung slice by slice (usually between 10 and 14 slices depending on the phase of ... experiment and on the size of the animal's lung) The results were expressed as percentages of each subrange of attenuation as compared with the total lung area For evaluation of the left ventricle,...
... bunch of applications in many other fields of pure and applied mathematics CONTENTS Let’s recall the definition oflinear operators: The most common kind ofoperators encountered are linearoperators ... generalizations of derivatives and integrals (not necessarily continuous) The main concepts of this algebraic formulation are right invertible linear operators, their right inverses and associated initial operators ... Mau, Nguyen Minh Tuan and by other scientists This thesis concentrates on the theory ofright invertible operatorsand interpolation problems with right invertible operators in linear spaces Algebraic...
... Negation of Equality CHAPTER V PSYCHOLOGICAL EXPOSITION OF THE IDEA OF JUSTICE AND IN JUSTICE, AND A DETERMINATION OF THE PRINCIPLE OF GOVERNMENT ANDOFRIGHT PART % Of the Moral Sense in Man and ... Animals % Of the First and Second Degrees of Sociability % Of the Third Degree of Sociability PART I % Of the Causes of our Mistakes The Origin of Property % Characteristics of Communism andof Property ... many ideas of his own; but is not the very foundation of ancient Jewish law to be found in its condemnation of usurious interest and its denial of the rightof personal appropriation of land? The...
... the saturation of late capitalism's 'fetishism of style and surface, its cult of hedonism and technique, its reifying of the signifier and displacement of discursive meaning with random intensities.'14 ... multiple loci of invocations of 'the aesthetic' effect a decentring of its philosophical determination, and while this is to an extent a consequence of processes of aestheticisation andof critical ... architecture of knowledge, I would argue that the task facing us is the discovery of modes of critiquing and thinking about the ubiquity, undecidability, and centrality of aesthetics in every aspect of...
... nm, characteristic of the presence of secondary structure Both CD bands lose intensity as the protein unfolds (Fig 2C), and the CD spectrum on unfolding resembles that of a random-coil polypeptide ... 2.5, 20 °C), the GdnHCl-induced midpoints were 1.7 and 1.6 M GdnHCl after h of incubation and 1.1 and 1.0 M GdnHCl after 24 h of incubation for 80 and 10 lM FdTt, respectively Thermally induced FdTt ... Understanding and probing protein stability at high temperatures and extreme conditions is relevant for a variety of biochemical and biotechnological applications Intriguingly, the stability of a...
... Negation of Equality CHAPTER V PSYCHOLOGICAL EXPOSITION OF THE IDEA OF JUSTICE AND IN JUSTICE, AND A DETERMINATION OF THE PRINCIPLE OF GOVERNMENT ANDOFRIGHT PART % Of the Moral Sense in Man and ... Animals % Of the First and Second Degrees of Sociability % Of the Third Degree of Sociability PART I % Of the Causes of our Mistakes The Origin of Property % Characteristics of Communism andof Property ... many ideas of his own; but is not the very foundation of ancient Jewish law to be found in its condemnation of usurious interest and its denial of the rightof personal appropriation of land? The...
... consciousness— an alternative vision of what the world might look like, an expanded sense of personal efficacy (often called empowerment), and a clear set of demands and on systematically mobilizing ... Serving the People and Vanguard Politics: The Formation of the Third World Left in Los Angeles 89 Ideologies of Nation, Class, and Race in the Third World Left 123 The Politics of Solidarity: Interethnic ... result of these twin practices has been the almost complete erasure of the existence of a Third World Left, or a leftof color, in the United States during this period The primary exception is, of...