This third edition updates and expands on the first and second editions by focusing on the general balance equations for coupled processes of physical, chemical, and biological systems. Found inside – Page 151Definition 1. We say that M is K-stable (resp. K-semistable), if M has no nontrivial holomorphic vector fields, and for any special degeneration Y of M, ... Found inside – Page 1256Indeed , these states are not stable - equilibrium , but neutral - equilibrium states . 4 . – A pure substance at the triple point as a heat reservoir with finite mass . In this section we will show that , if the definition of heat reservoir is stated correctly ... Found inside – Page 825We define two types of stability visualized in Fig. G.1. (The reader can easily generalize these definitions to the mapping (G.2).) Definition. Nuclear physics today is a diverse field, encompassing research that spans dimensions from a tiny fraction of the volume of the individual particles (neutrons and protons) in the atomic nucleus to the enormous scales of astrophysical ... Found inside – Page 1CHAPTER I THE SYSTEMATICS OF STABLE NUCLEI 1.1 . Empirical definition of stability The concept of nuclear stability requires careful definition . The book concludes with a presentation of recently proposed global and local dynamical theories of the origin and nature of mass."--BOOK JACKET. Found inside – Page 332Definition 2. The null solution of ( 1 ) is said to be BC - uniformly asymptotically stable ( BC - UAS ) if for any e > 0 there exists a 8 ( e ) > 0 such ... Found inside – Page 49Definition 2.1 ( A. M. Lyapunov , 1892 ( 567 , 735 ] ) . The equilibrium x O of equation ( 2.2 ) is called Lyapunov stable if for every e > 0 and to € ( 1 ... Found inside – Page 91AMS Special Session on Enumerative Geometry in Physics, April 1-2, 2000, University of Massachusetts, ... Stable maps form a category: DEFINITION 2.3. Found inside – Page 213Definition. (1) An element 5 e S (V(E))G(E) is called e-stable if for every orbit O C V0 and for every pair of points y, y' e O(E), one has I(b)(y) = e(y, ... The carefully selected group of active researchers contributing to this work and the expert field editors intend for their contributions, from an internationally comprehensive perspective, to accelerate the interdisciplinary advance of ... Found inside – Page 69Borrowing from the theory of stability for classical semigroups, we may define analogous notions of stability for quantum dynamical semigroups. Found inside – Page 26Journal of Computational Physics, 231(20):6846–6860, 2012. ... On the stability definition of difference approximations for the initial boundary value ... Found inside – Page 333( t ) re Le x ( t ) € r 6 P Figure 5 : Definition of stability ( left ) and asymptotic stability ( right ) . • asymptotically stable whenever it is stable ... "Provides a physical interpretation of the data obtained in macromolecular transport phenomena in a given system and also addresses some important issues and concepts related to biopolymers such as proteins and nucleic acids"-- Found inside' Scientists have puzzled over it ever since. Addy Pross uses insights from the new field of systems chemistry to show how chemistry can become biology, and that Darwinian evolution is the expression of a deeper physical principle. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. Found inside – Page 14In what follows we consider the stability of the solutions constructed above . 5 We give two definitions of stability . Let Z be a Banach space , X an ... In this comprehensive work the author redresses this balance, drawing on his twenty-five years of experience of teaching thermodynamics at undergraduate and postgraduate level, to produce a definitive text to cover thoroughly, advanced ... Found insideIn Physics of Blackness: Beyond the Middle Passage Epistemology, Michelle M. Wright argues that although we often explicitly define Blackness as a “what,” it in fact always operates as a “when” and a “where.” By putting lay ... Found inside – Page 393There are many different definitions of stability, so that the same method can be stable according to one definition and not stable according to another. Provides an accessible and original overview of the entire sweep of history that places human history within the context of the history of life, the Earth, and the universe Offers new insights into the future of humanity by providing a ... Found inside – Page 69By extending the stability definitions for principal Gc-bundles, one can define stable, semi-stable and polystable Gc-Higgs bundles. The book describes current activity in understanding nuclear structure and symmetries, the behavior of matter at extreme densities, the role of nuclear physics in astrophysics and cosmology, and the instrumentation and facilities used by ... Found inside – Page 202Shmidt Earth Physics Institute , Russian Academy of Science , Moscow ( Presented by Academician A . Yu . ... By the stability of the deformation process we shall mean a stability locally , in the sense of D . Drucker ' s definition , 4 which states ... Found insideThe Radiation Exposure Compensation Act (RECA) was set up by Congress in 1990 to compensate people who have been diagnosed with specified cancers and chronic diseases that could have resulted from exposure to nuclear-weapons tests at ... Found inside – Page 161We shall prove that Al, is stable, by induction on ls. Firstly, All = All/A_l is stable, by definition. Suppose by induction that Al,_l is stable. Found insideThis book will offer an insight into the physics of nuclear medicine by explaining the principles of radioactivity, how radionuclides are produced and administered as radiopharmaceuticals to the body and how radiation can be detected and ... Found inside – Page 6As seen, each next definition imposes new restrictions on the stability. Hence, different routes of the laminar–turbulent transition, each of which being ... This text blends traditional introductory physics topics with an emphasis on human applications and an expanded coverage of modern physics topics, such as the existence of atoms and the conversion of mass into energy. Found inside – Page 131We may abstractly define an ordered structure in a domain U of Euclidean space as the data of a semi-local structure on U with base manifold M. The local ... Found inside – Page 1397.2 Definition (Strong Stability for Linear Hamiltonian Systems) An infinitesimally symplectic endomorphism A ∈ sp(E,ω) is called strongly stable if there ... Found inside – Page 114In terms of the stability definition given above, regimes (1) and (2) are considered stable, whereas regime (3) is unstable. The definition of stability ... Found insideThe book introduces the idea of parametric control as a distinguishing feature of living systems. Found inside – Page 217B. Definition of Stability. Connection with the Spectral Problem The current definitions of stability introduced in the field of ordinary differential ... Found inside – Page 447Definition 20.3 F is a stable distribution if and only if, given any two positive numbers a1 and a2, we can find a positive number a and a real number b ... Found inside – Page 6Twisted stable maps. We can now define a twisted stable map as follows (see [N-V3): DEFINITION 3.6.1. Let A' be a Deligne–Mumford stack, ... Found inside – Page 146A more practical definition is that a stable particle is one that does not decay through QCD interactions. In this sense a kaon is a stable meson; ... Found insideSimon's Franco-British case study looks at the role of two of Ganot's books. The study is novel for its international comparison of 19th-century physics and for its emphasis on the communication of science rather than on the science itself. Found inside – Page 107Definition 4. If vs E SM , S is a recursively stable sequence , then the set M CRXn is called recursively stable . In these terms , we have the following theorem for linear systems . Theorem 1 ( principle of recursive stability of perturbations ) . Found inside – Page 747Definition □ Let y = φ(t) be a solution to ̇y = g(y). The solution is stable if every solution ψ(t) of the differential equation that is close to φ(t) at ... Found inside – Page 146Definition 6.2. For α ∈ (0,2], an α-stable random variable Sα is defined by its characteristic function E[exp(itSα)] = exp(itc − b|t|α (1 + iκsgn(t)wα ... Found inside – Page 858Section 5 by discussing in detail stability definitions for MOTS , in particular the relation between the variational definitions and the sign condition on the principal eigenvalue , and we give a result on the dependence of stability on the direction . Found inside – Page 75Notice that the definition of a cohomological field theory and potentials is ... a higher genus generalization of the notion of an operad where the stable ... Found inside – Page 209By a simultaneous definition we will describe the qualitative domain S and ... We will now define a stable approximation to an E-structure on each I This ... Found inside – Page 478As stated earlier , the theory of stability deals with the time behavior of ... which insure stability according to a specified stability definition.222 In ... 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