Catalogue Search | MBRL
Are you sure you want to remove the book from the shelf?
{{itemTitle}}
210,611
result(s) for
"General topics"
Sort by:
Proof : the art and science of certainty
\"An award-winning mathematician shows how we prove what's true, and what to do when we can't. How do we establish what we believe? And how can we be certain that what we believe is true? And how do we convince other people that it is true? For thousands of years, from the ancient Greeks to the Arabic golden age to the modern world, science has used different methods-logical, empirical, intuitive, and more-to separate fact from fiction. But it all had the same goal: find perfect evidence and be rewarded with universal truth. As mathematician Adam Kucharski shows, however, there is far more to proof than axioms, theories, and laws: when demonstrating that a new medical treatment works, persuading a jury of someone's guilt, or deciding whether you trust a self-driving car, the weighing up of evidence is far from simple. To discover proof, we must reach into a thicket of errors and biases and embrace uncertainty-and never more so than when existing methods fail. Spanning mathematics, science, politics, philosophy, and economics, this book offers the ultimate exploration of how we can find our way to proof-and, just as importantly, of how to go forward when supposed facts falter\"-- Provided by publisher.
BOOK
Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs
Consider a general linear Hamiltonian system
eBook
Mother Teresa
\"Mother Teresa was born in Skopje, Macedonia. From an early age, she knew she wanted to dedicate herself to religion. She was fascinated by stories of missionaries helping people and wanted to do the same. She spent the rest of her life caring for the sick and poor around the world and is now remembered as Saint Teresa of Calcutta. The incredible story of her life features a facts and photos section at the back\"--Back cover
BOOK
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous
reaction-diffusion equations:
The characterizations of these sets involve two new notions of generalized principal eigenvalues
for linear parabolic operators in unbounded domains. In particular, it allows us to show that
eBook
Recent trends in formal and analytic solutions of diff. equations : Virtual Conference Formal and Analytic Solutions of Diff. Equations, June 28-July 2, 2021, University of Alcalá, Alcalá de Henares, Spain
This volume contains the proceedings of the conference on Formal and Analytic Solutions of Diff. Equations, held from June 28-July 2, 2021, and hosted by University of Alcala, Alcala de Henares, Spain. The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q$-difference equations, partial differential equations, moment differential equations, etc. Also discussed are related topics such as summability of formal solutions and the asymptotic study of their solutions. The volume is intended not only for researchers in this field of knowledge but also for students who aim to acquire new techniques and learn recent results.
eBook
Focus Realization in Romance and Beyond
What are the linguistic means for expressing different types of foci such as (narrow) information focus and contrastive focus in Romance languages, and why are there such differing views on such a presumably clear-cut research subject? Bringing together original expert work from a variety of linguistic disciplines and perspectives such as language acquisition and language contact, this volume provides a state-of-the-art discussion on central issues of focus realization. These include the interaction between prosody, syntax, and pragmatics, the typology of word order and intonation languages, the differentiation between focus and related notions such as contrast and presupposed modality, and the role of synchronic variation and change.
eBook
Spectral expansions of non-self-adjoint generalized Laguerre semigroups
We provide the spectral expansion in a weighted Hilbert space of a substantial class of invariant non-self-adjoint and non-local
Markov operators which appear in limit theorems for positive-valued Markov processes. We show that this class is in bijection with a
subset of negative definite functions and we name it the class of generalized Laguerre semigroups. Our approach, which goes beyond the
framework of perturbation theory, is based on an in-depth and original analysis of an intertwining relation that we establish between
this class and a self-adjoint Markov semigroup, whose spectral expansion is expressed in terms of the classical Laguerre polynomials. As
a by-product, we derive smoothness properties for the solution to the associated Cauchy problem as well as for the heat kernel. Our
methodology also reveals a variety of possible decays, including the hypocoercivity type phenomena, for the speed of convergence to
equilibrium for this class and enables us to provide an interpretation of these in terms of the rate of growth of the weighted Hilbert
space norms of the spectral projections. Depending on the analytic properties of the aforementioned negative definite functions, we are
led to implement several strategies, which require new developments in a variety of contexts, to derive precise upper bounds for these
norms.
eBook
When data challenges theory : unexpected and paradoxical evidence in information structure
This volume offers a critical appraisal of the tension between theory and empirical evidence in research on information structure. The main aim of the book is to assess the impact of data that seem to run against commonly accepted tenets in this field.
eBook
The horseshoe estimator for sparse signals
This paper proposes a new approach to sparsity, called the horseshoe estimator, which arises from a prior based on multivariate-normal scale mixtures. We describe the estimator’s advantages over existing approaches, including its robustness, adaptivity to different sparsity patterns and analytical tractability. We prove two theorems: one that characterizes the horseshoe estimator’s tail robustness and the other that demonstrates a super-efficient rate of convergence to the correct estimate of the sampling density in sparse situations. Finally, using both real and simulated data, we show that the horseshoe estimator corresponds quite closely to the answers obtained by Bayesian model averaging under a point-mass mixture prior.
Journal Article