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Street-Fighting Mathematics

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ISBN: 9780262265591 9780262514293 Year: Pages: 152 Language: English
Publisher: The MIT Press
Subject: Science (General)
Added to DOAB on : 2019-01-17 11:41:37
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An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation.In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Detection and characterization of inclusions in impedance tomography

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ISBN: 9783866446359 Year: Pages: VIII, 135 p. DOI: 10.5445/KSP/1000021838 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Computer Science
Added to DOAB on : 2019-07-30 20:01:57
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The topic of this work are two further developments of the Factorization method for electrical impedance tomography.We present a modification of this method that is capable of detecting mixed inclusions, i.e. both inclusions with a higher as well as inclusions with a lower conductivity than the background medium. In addition, we derive a new method to compute the conductivity inside inclusions after they have been localized.

Factorization methods for photonics and rough surfaces

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ISBN: 9783866442566 Year: Pages: VI, 156 p. DOI: 10.5445/KSP/1000008735 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:02:01
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This thesis investigates non-destructive testing problems for rough and periodic surfaces, where the task is to determine such structures from scattered waves. Such problems are non-linear and ill-posed. We are interested in the analysis of the Factorization method applied to this class of inverse scattering problems. This method does not attempt to solve a non-linear operator equation for the unknown object but computes a binary criterion characterizing points inside and outside the structure.

ECG Imaging of Ventricular Activity in Clinical Applications

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Book Series: Karlsruhe transactions on biomedical engineering / Ed.: Karlsruhe Institute of Technology / Institute of Biomedical Engineering ISSN: 18645933 ISBN: 9783731503743 Year: Volume: 22 Pages: VII, 214 p. DOI: 10.5445/KSP/1000046918 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Technology (General)
Added to DOAB on : 2019-07-30 20:02:00
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ECG imaging was performed in humans to reconstruct ventricular activation patterns and localize their excitation origins. The precision of the non-invasive reconstructions was evaluated against invasive measurements and found to be in line with the state-of-the-art literature. Statistics were produced for various excitation origins and reveal the beat-to-beat robustness of the imaging method.

Dynamics of decision making: from evidence to preference and belief

Authors: --- --- ---
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889192700 Year: Pages: 259 DOI: 10.3389/978-2-88919-270-0 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Neurology --- Psychology
Added to DOAB on : 2015-12-03 13:02:24
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At the core of the many debates throughout cognitive science concerning how decisions are made are the processes governing the time course of preference formation and decision. From perceptual choices, such as whether the signal on a radar screen indicates an enemy missile or a spot on a CT scan indicates a tumor, to cognitive value-based decisions, such as selecting an agreeable flatmate or deciding the guilt of a defendant, significant and everyday decisions are dynamic over time. Phenomena such as decoy effects, preference reversals and order effects are still puzzling researchers. For example, in a legal context, jurors receive discrete pieces of evidence in sequence, and must integrate these pieces together to reach a singular verdict. From a standard Bayesian viewpoint the order in which people receive the evidence should not influence their final decision, and yet order effects seem a robust empirical phenomena in many decision contexts. Current research on how decisions unfold, especially in a dynamic environment, is advancing our theoretical understanding of decision making. This Research Topic aims to review and further explore the time course of a decision - from how prior beliefs are formed to how those beliefs are used and updated over time, towards the formation of preferences and choices and post-decision processes and effects. Research literatures encompassing varied approaches to the time-scale of decisions will be brought into scope: a) Speeded decisions (and post-decision processes) that require the accumulation of noisy and possibly non-stationary perceptual evidence (e.g., randomly moving dots stimuli), within a few seconds, with or without temporal uncertainty. b) Temporally-extended, value-based decisions that integrate feedback values (e.g., gambling machines) and internally-generated decision criteria (e.g., when one switches attention, selectively, between the various aspects of several choice alternatives). c) Temporally extended, belief-based decisions that build on the integration of evidence, which interacts with the decision maker's belief system, towards the updating of the beliefs and the formation of judgments and preferences (as in the legal context). Research that emphasizes theoretical concerns (including optimality analysis) and mechanisms underlying the decision process, both neural and cognitive, is presented, as well as research that combines experimental and computational levels of analysis.

Die Einbindung der Bundesrepublik Deutschland in die Europaeischen Gemeinschaften als Problem des Finanzausgleichs

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Book Series: Finanzwissenschaftliche Schriften ISBN: 9783631451540 Year: Pages: 291 Language: German
Publisher: Peter Lang International Academic Publishing Group
Subject: Law --- Economics --- Political Science
Added to DOAB on : 2019-01-15 13:32:33
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Seit ihrer Gründung haben die Europäischen Gemeinschaften für die einzelnen Mitgliedstaaten immer mehr an Bedeutung gewonnen. Die Einbindung der föderativ aufgebauten Bundesrepublik Deutschland in die Europäischen Gemeinschaften wirft eine Reihe von Finanzausgleichsproblemen auf, die nicht zuletzt durch die zunehmende Verlagerung von Aufgaben auf die Gemeinschaftsebene und den wachsenden Haushalt der Gemeinschaften immer drängender geworden sind. In der vorliegenden Arbeit werden diese Probleme anhand der ökonomischen Kriterien der Föderalismustheorie systematisch identifiziert und Lösungsansätze aufgezeigt. Dabei werden sowohl Aspekte der Beziehungen der Europäischen Gemeinschaften zur Bundesrepublik Deutschland insgesamt als auch die Auswirkungen der europäischen Integration auf den deutschen Finanzausgleich behandelt.

Essential Facilities als ordnungspolitisches Problem

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Book Series: Schriften zur Wirtschaftstheorie und Wirtschaftspolitik ISBN: 9783631397602 Year: Pages: 312 Language: German
Publisher: Peter Lang International Academic Publishing Group
Subject: Economics --- Political Science
Added to DOAB on : 2019-01-15 13:32:36
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Die vorliegende Arbeit will einen ökonomischen Beitrag zur Diskussion über die Zugangsgewährung zu monopolistischen Engpaßeinrichtungen und die damit verbundene Öffnung von angrenzenden Märkten für Wettbewerb leisten, die bislang vornehmlich juristisch geprägt ist. Ziel der Arbeit ist es, die Eigenschaften einer Essential Facility herauszuarbeiten und die wichtigsten mit ihr verbundenen ordnungs- und wettbewerbspolitischen Probleme darzulegen sowie Lösungsmöglichkeiten aufzuzeigen. Im Vordergrund steht dabei die Ausgestaltung der regulatorischen Eingriffe, die zur Förderung des Wettbewerbs, aber auch der ökonomischen Effizienz auf den relevanten Märkten notwendig werden. Verschiedene Netz- und Infrastrukturindustrien dienen durch die gesamte Arbeit als illustrative Beispiele.

25 Military Strategies for Samhandling in Unforeseen Situations (Book chapter)

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ISBN: 9788202535025 Year: Pages: 14 DOI: 10.23865/noasp.36.ch25 Language: English
Publisher: Cappelen Damm Akademisk/NOASP (Nordic Open Access Scholarly Publishing)
Subject: Sociology --- Social Sciences
Added to DOAB on : 2019-01-15 13:34:08
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"The purpose of this chapter is twofold. Firstly, a rather paradoxical situation&#xD;will be discussed. Even though most military practitioners seem to agree&#xD;on the characteristics of war, two almost diametrically-opposed norms for how to&#xD;samhandle have arisen: a centralized one and a decentralized one. We argue that the&#xD;decentralized approach, called Auftragstaktik, is the most effective. In the second&#xD;part of the chapter we discuss the pedagogical challenge of educating personnel to&#xD;thrive in a decentralized organization, which must operate effectively in unforeseen&#xD;and threatening environments. Based on the teachings of Moltke the Elder (1800–&#xD;1891) and the much more recent writings of Torgersen, Steiro and Saeverot (2015),&#xD;we argue that a crucial step in educating for the unforeseen is to give the students&#xD;the opportunity to solve new problems by themselves, gaining experience that is, as&#xD;far as possible, self-generated and thereby becoming more aware and confident in&#xD;dealing with new situations."&#xD;

Complex Problem Solving Beyond the Psychometric Approach

Authors: --- --- ---
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889455737 Year: Pages: 178 DOI: 10.3389/978-2-88945-573-7 Language: English
Publisher: Frontiers Media SA
Subject: Psychology --- Science (General)
Added to DOAB on : 2019-01-23 14:53:43
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Complex problem solving (CPS) and related topics such as dynamic decision-making (DDM) and complex dynamic control (CDC) represent multifaceted psychological phenomena. In abroad sense, CPS encompasses learning, decision-making, and acting in complex and dynamic situations. Moreover, solutions to problems that people face in such situations are often generated in teams or groups. This adds another layer of complexity to the situation itself because of the emerging issues that arise from the social dynamics of group interactions. This framing of CPS means that it is not a single construct that can be measured by using a particular type of CPS task (e.g. minimal complex system tests), which is a view taken by the psychometric community. The proposed approach taken here is that because CPS is multifaceted, multiple approaches need to be taken to fully capture and understand what it is and how the different cognitive processes associated with it complement each other.Thus, this Research Topic is aimed at showcasing the latest work in the fields of CPS, as well as DDM and CDC that takes a holist approach to investigating and theorizing about these abilities. The collection of articles encompasses conceptual approaches as well as experimental and correlational studies involving established or new tools to examine CPS, DDM and CDC. This work contributes to answering questions about what strategies and what general knowledge can be transferred from one type of complex and dynamic situation to another, what learning conditions result in transferable knowledge and skills, and how these features can be trained.

Problem Gambling: Summarizing Research Findings and Defining New Horizons

Authors: --- --- --- --- et al.
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889456130 Year: Pages: 217 DOI: 10.3389/978-2-88945-613-0 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Psychology
Added to DOAB on : 2019-01-23 14:53:43
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In 2003, Rachel A. Volberg wrote: “Why is it that gambling is not even on the radar when we consider the array of risks that adolescents must confront as they move towards adulthood?” Nowadays, after thirteen years, although much more is known about this particular form of risk behavior, there is still a general tendency, at least among laypersons, to not perceive gambling as a potential danger for youth and other population segments (e.g., individuals with migration background, seniors, sports professionals). However, the latest edition of the Diagnostic and Statistical Manual of Mental Disorders (DSM-5, American Psychological Association, 2013) included Gambling Disorder as the only condition in the Section Non-Substance-Related Disorders. Moreover, it is specified that the disorder can indeed occur in adolescence or young adulthood. Despite this fact, theoretical and applied research on problem gambling with regard to adolescence and other risk groups is still in its infancy.For this reason, it seems to be important to organize a Research Topic on gambling in Frontiers in Psychology in order to i) highlight the necessity of considering gambling as a potential harmful activity; ii) summarize the state-of-art of international research on different aspects of the topic; and iii) offer important novel findings relevant for advancing knowledge in the field of gambling. Different types of research articles will be provided including original articles, systematic/scoping reviews, meta-analyses, case reports, and commentaries. These contributions will be focused on the following most important areas in gambling research: Measurement (Which are the most widely used instruments to assess gambling-related problems as well as proximate constructs and what are their psychometric properties? Are there new instruments to detect adolescent problem gamblers?), Protective and risk factors (What do we know about ecological and individual influences on gambling behavior? Which factors affect problem gambling most and in which way?), Prevention (Which are the most promising prevention programs implemented until now? Which are necessary ingredients for effective prevention?), Treatment (When individuals seek help for their gambling-related problems, which are the clinical treatments that are offered? Do we have evidence for treatment effectiveness for different subgroups?).To try to fulfill this goal in the most comprehensive way, researchers from different countries and with specific competencies and interests will be contacted and encouraged to submit a contribution. Through the integration of international and multidisciplinary contributions, i) new challenges in the field of gambling will be identified (e.g., definition of specific at-risk groups, specification of effective interventions in terms of best practices) and ii) new research routes (e.g., the use of behavioral data) will be outlined in order to build a comprehensive understanding of problem gambling. The overall aim is to summarize the state of art, to propose original novel findings, and to outline new directions in gambling research.

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