The contents of this book focus on the recent investigations in molecular biology
where applications of topology seem to be very stimulating. The volume is
based on the talks and lectures given by participants of the three-month program
“Topology in Condensed Matter”, which was held in the Max Planck Institut
fur Physik komplexer Systeme, Dresden, Germany, 8May–31 July 2002,
under the scientific direction of Professors M. Kl´eman, S. Novikov and myself.
Collection of research reports best university in 2008 honored the author: 1. Housing Ta Khac Luong Quoc Tuyen Nguyen Thi Thu Ha, Le Thi Ngoc, the probability measure functor preserving some topological properties that ... science (Scientia, in Latin, meaning "knowledge" or "understanding") is the efforts to implement the invention, and increased knowledge of the human understanding of how the operation of the physical world around them.
Power electronic converters (PECs) are static devices, without any movable parts, that convert electric energy of one set of properties into electric energy of another, different set of properties. The properties that are changed by the action of the converter are one or more of the following: number of phases, frequency, and voltage rms (or average, in the DC case) value. Thus any power electronic converter is essentially a transformer in a broad sense. Action of a power electronic converter is illustrated in Fig....
Let X be a projective manifold and f : X → X a rational mapping with large topological degree, dt λk−1 (f ) := the (k − 1)th dynamical degree of f . We give an elementary construction of a probability measure µf such that d−n (f n )∗ Θ → µf for every smooth probability measure Θ on X. We show t that every quasiplurisubharmonic function is µf -integrable. In particular µf does not charge either points of indeterminacy or pluripolar sets, hence µf is f -invariant with constant jacobian f ∗ µf = dt µf...
In this paper we study the extending of the Matheron theorem for general topological spaces. We also show some examples about the spaces F such that the miss-and-hit topology on those spaces are unseparated or non-Hausdorff.
1. Introduction The Choquet theorem (see [1, 2]) plays very importance role in theory of random sets. The proof of this theorem is based on the Matheron theorem and especially, the locally compact property of the space F , where F is a space of all close subsets of a given space E and F is equipped with the miss-and-hit topology (see ). ...
The Self-Organizing Map (SOM) is a neural network algorithm, which uses a competitive learning technique to train itself in an unsupervised manner. SOMs are different from other artificial neural networks in the sense that they use a neighborhood function to preserve the topological properties of the input space and they have been used to create an ordered representation of multi-dimensional data which simplifies complexity and reveals meaningful relationships. Prof. T. Kohonen in the early 1980s first established the relevant theory and explored possible applications of SOMs. ...
The software crisis is usually defined in terms of projects running over budget and over schedule, though an equally important aspect is the poor quality of software measured in terms of its correctness, reliability and performance. The consequences of releasing faulty software into service may be devastating in safety-related applications, telecommunications and other areas. When the USA telecommunications system failed and half of the nation was isolated, lives and property were clearly put at risk....
The provinces have primary responsibility for property law in
Canada. In all provinces except Québec, property law has developed
through the English common-law process. In Québec, property law
is governed by the Civil Code of Québec (which is derived from the
Napoleonic Code.) There is no constitutional protection for property
rights in Canada. Consequently, property can be expropriated by
government and quasi-governmental authorities, but, appropriate
compensation must be paid.
The book before the reader is devoted to an exposition of results of investigations
carried out mainly over the last 10-15 years concerning certain
questions in the theory of quasiconformal mappings.
The principal objects of investigation-mappings with bounded distortion-
are a kind of n-space analogue of holomorphic functions. As is
known, every holomorphic function is characterized geometrically by the
fact that the niapping of a planar domain it implements is conformal. In
the n-space case the condition of conformality singles out a very narrow
class of mappings.
This is the second book containing examples from the Theory of Complex Functions. The first topic
will be examples of the necessary general topological concepts. Then follow some examples of complex
functions, complex limits and complex line integrals. Finally, we reach the subject itself, namely the
analytic functions in general. The more specific properties of these analytic functions will be given in
the books to follow.
Mobile Ad Hoc Network (MANET) is a collection of communication devices or nodes
that wish to communicate without any fixed infrastructure and pre-determined
organization of available links. The nodes in MANET themselves are responsible for
dynamically discovering other nodes to communicate. Although the ongoing trend is to
adopt ad hoc networks for commercial uses due to their certain unique properties, the
main challenge is the vulnerability to security attacks.
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-curvature under generic assumptions. The problem amounts to solving a fourth-order nonlinear elliptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below, we employ topological methods and min-max schemes, jointly with the compactness result of . 1.
We prove the topological (or combinatorial) rigidity property for real polynomials with all critical points real and nondegenerate, which completes the last step in solving the density of Axiom A conjecture in real one-dimensional dynamics. Contents 1. Introduction 1.1. Statement of results 1.2. Organization of this work 1.3. General terminologies and notation 2. Density of Axiom A follows from the Rigidity Theorem 3. Derivation of the Rigidity Theorem from the Reduced Rigidity Theorem
A back -propagation artificial neural net has been trained to estimate the activity values of a set of 18 N-alkyl-N-acyl- -aminoamide derivatives from the results of molecular mechanics and RHF/PM3/SCF MO semi-empirical calculations. The input descriptors include molecular properties such as the partition coefficient P, 3d structure dependent parameters, charge dependent parameters, and topological descriptors.
Crystallins are the major proteins of a mammalian eye lens. The topologic-ally similar eye lens proteins,b- and c-crystallins, are the prototype and
founding members of the bc-crystallin superfamily. bc-Crystallins have
until recently been regarded as structural proteins. However, the calcium-binding properties of a few members and the potential role ofbc-crystallins
in fertility are being investigated.