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3,520 Result(s)
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Chapter
The Plurisubharmonic Dentability and the Analytic Radon-Nikodym Property for Bounded Subsets in Complex Banach Spaces
Let X be a complex Banach space. Following [2], X is said to have the analytic Radon- Nikodym property if every uniformly bounded analytic function from the open unit disk of C with values in X, f: D → X has radi...
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Chapter
The Legacy of National Socialism
Source:Archive of the Max Planf Society,Berlin:Carbon copy of letter.Orginal stenographicdraft at Churchill College Arxhive,Cambridge,England.
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Chapter
Complex Conjugation — Relative to What?
Some initial, technically simple but fundamentally important statements concerning the very origin of the notion of a complex number are formulated in terms of the Clifford (Geometric) algebra generated by vec...
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Chapter
Applications of stochastic particle models to oceanographic problems
Three Markovian particle models are reviewed, providing a hierarchy of increasingly detailed descriptions of particle motion and dispersion. Model 1 assumes that the scales of turbulent motion are infinitesima...
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Chapter
Linear control plants in a resolution space
Various facts about causal operators defined on Hilbert spaces and their extensions endowed with time structure were considered in Chapter 3. This provides us with tools permitting to give rich in content sett...
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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
Linear Continuous Functionals and Dual Spaces
In this chapter, we continue our study of Banach and Hilbert spaces. Here, we mainly consider linear functionals, i.e., additive, homogeneous, and continuous number functions given on such spaces. The problems...
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Chapter
Function Spaces and Fading Memory
Functional analysis is a powerful tool which has been extensively used in problems arising in continuum mechanics. However, the use of functional analytic methods requires that an a priori choice be made of the f...
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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
Integrable Hamiltonian systems on affine Poisson varieties
In this chapter we give the basic definitions and properties of integrable Hamiltonian systems on affine Poisson varieties and their morphisms. In Section 2 we define the notion of a Poisson bracket (or Poisso...
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Chapter
Three-dimensional polytopes
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Chapter
Bessel Process of Order 1/2
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Chapter
Learning Possibilistic Networks from Data
We introduce a method for inducing the structure of (causal) possibilistic networks from databases of sample cases. In comparison to the construction of Bayesian belief networks, the proposed framework has some a...
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Chapter and Conference Paper
A Generalized Feynman-Kac Formula for the Stochastic Heat Problem with Anticipating Initial Conditions
Using White Noise Analysis, we construct a Feynman-Kac formula for the stochastic heat equation with anticipating initial conditions. The obtained solution has applications to nonlinear filtering and heat tran...
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Chapter
The Lebesgue spaces
Let M be a measure space and 1 ≤ p ≤ ∞. A real-valued function f on M is said to be pth-power integrable, or belong to L p , if f is measurable, and |f| p ...
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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
Linear Equations
There is an abundance of theorems for linear equations but still there are many difficult and unsolved problems left. This chapter contains a summary of a number of important results. The reader who is not fam...
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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
Hereditary cofinality
For any infinite BA A, h-cofA is equal to each of:
sup{|T|: T ⊆ A, T well-founded};
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Chapter and Conference Paper
Numbers Defined by Turing Machines
We consider three types of Turing machines defining functions on infinite words and investigate some characteristic properties of these types of Turing machine map**s. Using the interpretation of infinite wo...