Definition and General Properties

Definition and general properties of the low and high pressure regimes... 

Moreau,M., and Gaveau,B., Definition and General Properties of a Class of Non-Markovian Collision Processes, J.Math.Phys. 26 1430 (1987)... 

For the above reason, unique tests and analysis approaches must be adopted for polymer-based materials to determine the manner in which properties vary with time. The following sections introduce the necessary terms, definitions and general behavior which will be useful in the more advanced approaches in later chapters. 

A Sail, TL Blundell. Definition of general topological equivalence m protein structures A procedure involving comparison of properties and relationships through simulated annealing and dynamic programming. J Mol Biol 212 403-428, 1990. 

Also, we consider the total approximation method as a constructive method for creating economical difference schemes for the multidimensional equations of mathematical physics. The notion of additive scheme is introduced as a system of operator difference equations that approximates the original differential equation in the total sense. Two quite general heuristic methods (proposed earlier by the author) for obtaining additive economical schemes are discussed in full details. The additive schemes require a new technique for investigating convergence and a new type of a priori estimates that take into account the definition of the property of approximation. 

The term allelopathy, when first proposed by Molisch (1 ), referred to either the beneficial or detrimental interaction between all types of plants and microorganisms. As presently used, this definition is generally accepted. Since 1970 a concerted effort has been made to understand the phenomenon of allelopathic interaction. The many interpretations resulting from these studies are well documented in the literature (2-4). An area currently receiving considerable attention is the allelopathic effect resulting from weed-crop and weed-weed interactions (2, 5-7). One study conducted by Wilson and Rice (7) showed that the common sunflower, Helianthus annuus L., possessed allelopathic properties. Realizing the inherent potential... 

Most of the equivalent patents are incorporated in the discussion, to give a sense of the international coverage to the reader. A summary of the main claim is included as a definition of the property subject matter. As could be seen the property subject matter of a World Intellectual Property Organization (WIPO) patent generally, is identical to one of the corresponding US patent (from the US Patent and Trademark Office, USPTO). However, in some instances a WIPO patent has more than one US equivalent patent. The equivalence between WIPO and US patents will be discussed for each particular case wherever relevant. 

General properties and definitions of polarizabilities can be introduced without invoking the complete DFT formalism by considering first an elementary model the dipole of an isolated, spherical atom induced by a uniform electric field. The variation of the electronic density is represented by a simple scalar the induced atomic dipole moment. This coarse-grained (CG) model of the electronic density permits to derive a useful explicit energy functional where the functional derivatives are formulated in terms of polarizabilities and dipole hardnesses. 

Before continuing, let s see the official definition of traceability as given in the ISO international vocabulary of basic and general terms in metrology. Traceability is defined as the property of the result of a measurement or the value of a standard whereby it can be related to stated references, usually national or international standards, through an unbroken chain of comparisons all having stated uncertainties. 

Note 7 There are definitions of linear viscoelasticity which use integral equations instead of the differential equation in Definition 5.2. (See, for example, [11].) Such definitions have certain advantages regarding their mathematical generality. However, the approach in the present document, in terms of differential equations, has the advantage that the definitions and descriptions of various viscoelastic properties can be made in terms of commonly used mechano-mathematical models (e.g. the Maxwell and Voigt-Kelvin models). 

Lithium, several (but not all) anticonvulsants, and most of the atypical antipsychotic medications are approved by the U.S. Food and Drug Administration (FDA) for the treatment of one of more phases of bipolar disorder. These medications are referred to as mood stabilizers, and they are the foundation of treatment for bipolar disorders. However, the skillful treatment of bipolar disorder requires not only the knowledge of how to prescribe one or more of these medications but also the understanding that some medications are preferred for one phase of the illness but not the other or for long-term use but not necessarily acute use. In this chapter, we first review the clinical use of lithium and the anticonvulsants that are definite or probable mood stabilizers. The general properties of atypical anti-psychotics are reviewed in Chapter 4. In this chapter, we expand on the use of these compounds for the treatment of bipolar disorder. Discussion of the treatment of each phase of bipolar disorder concludes the chapter. 

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