421 Result(s)
within
English
Applications of Mathematics
Chapter
1996 - 1996
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Chapter and Conference Paper
From Verbal Data to Practical Knowledge
It is one of the central tasks of the social sciences and humanities to show ways and means of creatively processing complex problems in our society. Such problems are generally unstructured and difficult to d...
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Chapter
Piezoelectrics
Piezoelectricity is defined as an electric polarization that is produced by mechanical strain (due to pressure) in crystals of certain class, like quartz. A closely related but totally different phenomenon is ...
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Chapter
Bessel Process of Order 1/2
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Chapter and Conference Paper
Gibbs Sampling in AR Models with Random Walk Priors
The paper analyses univariate autoregressive AR(p) models with tightness prior. The framework of the model is the conjugate normal linear model where the prior distribution is assumed to be a random walk proce...
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Chapter
Predictive Influence in the Log Normal Survival Model
We discuss case deletion diagnostics for prediction of future observations in the log normal survival analysis model. The point of view taken is that prediction is the primary inferential goal in a survival an...
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Chapter
Integration with respect to Unbounded Set Functions
The notion of a temporally homogeneous evolution process formulated in Definition 2.1.1 does not require the associated operator valued set functions 〈M t 〉 ...
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Chapter
Partition Algorithms on Intervals
In the simplest and most frequently studied special case of the general GOP, D is a one-dimensional finite interval. Let D = [a, b], −∞ < a < b < ∞, and f a (possibly) multiextremal continuous or Lipschitz functi...
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Chapter
Optimal Control on a Time Interval of Random Duration
In this chapter we deal with methods of solving stochastic time-optimal problems and control problems with a stochastic cost functional. A number of examples are considered, namely the problems of the control ...
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Chapter and Conference Paper
Gaussian Neural Networks Applied to the Cluster Analysis Problem
This paper describes a Gaussian neural network (GNN) applied to the cluster analysis problem. The GNN architecture is constituted by one layer of Gaussian units and one output unit which provides an estimation...
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Chapter
Introduction
The theory of distributions has proved to be essential in the study of partial differential equations. In 1975, F. E. Browder stated: ‘In considering the applications of functional analysis in partial differen...
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Chapter and Conference Paper
On the Use of Continuous-time ARMA Models in Time Series Analysis
We review some applications of continuous-time ARMA processes in the modelling of time series observed at discrete times t 1,…, t N . The problem of find...
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Chapter
Spontaneous Breakdown of Conformal Symmetry
Let us consider a scalar field φ(x) in a Minkowski space. Suppose that along with a conformally in variant vacuum % MathType!MTEF!2!1!+- % fea...
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Chapter
Linking theorem
In order to extend the quantitative deformation lemma to continuously differentiate functions defined on a Banach space, we use the notion of pseudogradient defined by Palais in 1966.
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Chapter
Relations Between Different Nonoscillating Solutions of the q-Equation Close to a Transition Zero
The numerical solution of a Schrödinger-like differential equation can be based on integration of the corresponding nonlinear q-equation. For the efficiency of the numerical integration, it is essential to select...
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Chapter
Tangles and 2-Bridge Knots
During the period from the end of the 1960s through to the beginning of the 1970s, Conway pursued the objective of forming a complete table of knots. As we have seen in our discussions thus far, the knot invar...
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Chapter
Some Simulation Results for the Performance of DNA Classification of Noisy Image Data
The Directional Neighborhoods Approach (DNA) to classifying pixels and reconstructing images from remotely sensed noisy data is a newly proposed, computer intensive, Bayesian-type procedure. It uses the observ...
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Chapter
The Linear Programming Formulation
A time-honored approach to studying optimal control problems (OCPs) is via mathematical programming techniques on suitable spaces. This approach is in principle applicable to almost any class of OCPs, determin...
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Chapter
Elliptic Problems with Normal Boundary Conditions
Let G ⊂ ℝ n be a bounded domain. Suppose that the boundary ∂G is sufficiently smooth, i.e., belongs to the class C t with some t ≥ 1 (s...
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Chapter
Domain Integrals
The domain integrals arise in the boundary element formulation for the potential, elastostatic, elastodynamic, fluid flow and other problems which involve body forces or or nonlinearities. Thus, for example, t...
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Chapter
Ornstein-Uhlenbeck Process
