244,159 Result(s)
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Chapter
Introduction
The Ginibre ensembles are non-Hermitian random matrices with real, complex or quaternion Gaussian entries. For reasons to be discussed below, these are denoted by GinOE, GinUE and GinSE respectively. With the ...
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Chapter
Emerging Topics in Dose-Finding and Beyond
Finding the right dose or doses is one of the most important objectives in new drug development. In practice, dose-finding is a very difficult challenge in every phase of clinical development for new drugs. Th...
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Chapter
Introduction
This book aims at presenting the finite element method from a mathematical viewpoint, with emphasis on the interest that mathematical analysis tools may have for practitioners.
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Chapter
Dose Selection with 2-in-1 Design
In oncology, dose-finding studies are largely performed only in Phase 1 clinical trials, and the maximum tolerated dose (MTD), a dose initially developed for systemic chemotherapies, is by default selected for...
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Chapter and Conference Paper
Geometric Inverse Problem for the Navier–Stokes Equations
This chapter is concerned with the detection of objects immersed in a fluid flow from boundary measurements. To solve the considered geometric inverse problem, we propose an approach based on the Kohn–Vogelius...
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Chapter and Conference Paper
On Exponential Stability of a Delayed Thermoelastic System
The presence of a delay in a thermoelastic system destroys the well-posedness and the stabilizing effect of the heat conduction. To avoid this problem, we add to the system, at the delayed equation, a Kelvin–V...
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Chapter and Conference Paper
Optimization of Rate of Penetration through Regression Model
The primary objective of this study is to enhance drilling efficiency and reduce operational costs for drilling tools by optimizing the Rate of Penetration (ROP). To achieve this, three optimization methods ar...
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Book
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Chapter and Conference Paper
Some Insights on the Practical Control of Hyperbolic Systems
In this chapter, we present some recent developments in the practical control of hyperbolic systems. Although our primary focus lies on scalar balance laws, most of the results showcased herein can be extended...
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Chapter
Fluctuation Formulas
Generally, a statistic of a point process refers to the stochastic variable defined by evaluating a function at the points. In this setting the class of functions of a single variable are referred to as linear...
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Chapter and Conference Paper
On the Path to Deciphering the Helffer–Nier Conjecture
In this note, we present a thorough survey of the properties and compactness criteria for the resolvent of the Kramers–Fokker–Planck operator. We examine several notable articles, such as Ben Said et al. (Quat...
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Chapter
Construction of Numbers
The natural numbers emerge here from Peano’s axioms and basic set theory. From these the ring of integers is formed. Then the increasingly larger fields of rational, real, and complex numbers are constructed. ...
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Book and Conference Proceedings
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Chapter
Normal Matrix Models
Normal matrix models, characterised by the requirement that the matrices commute with their adjoint so that their eigenvectors form a unitary matrix, permit an explicit Coulomb gas Boltzmann factor type eigenv...
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Chapter
Appendix
This includes some topics related to numbers. The study of the distribution of primes is extended, also with a brief discussion of the Riemann zeta-function. Bernoulli numbers are considered, and the transcend...
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Chapter
Patient-Reported Tolerability in Oncology Drug Development
Regulatory agencies, professional societies, and patient groups have encouraged the inclusion of patient-reported outcomes (PROs) in clinical trials. There is a growing understanding of and encouragement for t...
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Chapter and Conference Paper
An Inverse Problem for the Wave Equation in Anisotropic Media
This chapter deals with an inverse boundary value problem arising from scalar wave equation in anisotropic media. We reconstruct small perturbations of the anisotropic conductivity from partial dynamic boundar...
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Chapter
Groups
Groups are studied, starting with basic definitions, like cosets, normal subgroups, quotient groups, normalizers, centralizers, morphisms, leading to the fundamental isomorphisms theorems. On the way, cyclic g...
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Chapter
Power Series and the Frobenius Method
We present in this chapter some concepts and results on power series, which are used in the study of the Frobenius method for solving homogeneous linear second-order ordinary differential equations with noncon...
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Book and Conference Proceedings
Stochastic Transport in Upper Ocean Dynamics III
STUOD 2023 Workshop, Plouzané, France, September 25–28
