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4. EXPOSITORY ARTICLE DISCRETE MATHEMATICS AND COUNTING DERANGEMENTS IN BLIND WINE TASTINGS
"... The statistician Fisher explained the mathematical basis for the field of "Design of Experiments " in an elegant essay couched in the context of the mathematics of a Lady tasting tea (Fisher, in Newman 1956; Fisher 1971). In Fisher's text, the problem is to analyze completely the like ..."
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The statistician Fisher explained the mathematical basis for the field of "Design of Experiments " in an elegant essay couched in the context of the mathematics of a Lady tasting tea (Fisher, in Newman 1956; Fisher 1971). In Fisher's text, the problem is to analyze completely the likelihood that the Lady can determine whether milk was added to the tea or tea added to milk. Problems associated with the tasting of wines have a number of obvious similarities to Fisher's tea-tasting scenario. We offer an analysis of this related problem, set in the context of Nystuen's wine tasting club. To begin, a brief background of the rules of that club seems in order; indeed, it is often the case that the application is forced to fit the mathematics in order to illustrate the abstract. Here, it is the real-world context that guides the mathematics selected. Wine Tasting Strategy The Grand Crew wine club of Ann Arbor has been blind-tasting wines monthly for years. In a blind tasting, several wines are offered with their identity hidden. Not only are labels covered, but the entire bottle is covered as well because the shape and color of the bottle provides some clues as to the identity of the wine. The wines are labeled 1 through
Eliciting self-explanations improves understanding
- Cognitive Science
, 1994
"... Learning involves the integration of new information into existing knowledge. Generoting explanations to oneself (self-explaining) facilitates that integration process. Previously, self-explanation has been shown to improve the acquisition of problem-solving skills when studying worked-out examples. ..."
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Cited by 577 (22 self)
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. This study extends that finding, showing that self-explanation can also be facilitative when it is explicitly promoted, in the context of learning declarative knowledge from an expository text. Without any extensive training, 14 eighth-grade students were merely asked to self-explain after reading each line
Class Room Notes Expository article supporting OR/MS education. Integrated Software Tools for the OR/MS Classroom
"... In recent years, a growing range of software technologies has been deployed in the classroom, as a component of business, engineering, and science curricula. These technologies enable a more direct, interactive student involvement in educational or research project development. Within this general f ..."
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In recent years, a growing range of software technologies has been deployed in the classroom, as a component of business, engineering, and science curricula. These technologies enable a more direct, interactive student involvement in educational or research project development. Within this general framework, we see a strong case for using integrated scientific-technical computing systems. To illustrate this point, we review the key features of Maple, with an emphasis on its optimization model development and solver features. Maple is then used to formulate, solve, and visualize an optimization model example suitable for the classroom.
The Expository Times
"... As the feminist ‘hermeneutics of suspicion ’ has helped to discover more about the nature and possibilities of women in Biblical times so livelihood studies in developing countries have helped to unpack the role of women at the household level. Based on the assumption of recognised similarities of c ..."
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of certain features of peasant society over time this article draws on longitudinal studies of women in households in Malawi. It takes observations from ‘livelihood ladders ’ and discusses the possible relevance to women in 1st Century Palestine. From this emerges a fascinating picture which points
E EXPOSITORY
"... school Sixth Forms is ‘undergoing something of a renaissance’, the article said – but these students are interested in ethical topics (abortion, euthanasia, animal rights), not in traditional biblical studies. ‘It’s largely a question of the label you put on what you’re selling. It’s easier to tell ..."
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school Sixth Forms is ‘undergoing something of a renaissance’, the article said – but these students are interested in ethical topics (abortion, euthanasia, animal rights), not in traditional biblical studies. ‘It’s largely a question of the label you put on what you’re selling. It’s easier to tell
Combinatorial stochastic processes
"... This is a collection of expository articles about various topics at the interface between enumerative combinatorics and stochastic processes. These articles expand on a course of lectures given at the École d’Été de Probabilités de St. Flour in July 2002. The articles are called ’chapters ’ and numb ..."
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Cited by 228 (15 self)
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This is a collection of expository articles about various topics at the interface between enumerative combinatorics and stochastic processes. These articles expand on a course of lectures given at the École d’Été de Probabilités de St. Flour in July 2002. The articles are called ’chapters
Self-similarity of \Riemann's nondierentiable function", Nieuw
, 1991
"... This is an expository article about the series f(x) = 1 X ..."
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Cited by 3 (0 self)
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This is an expository article about the series f(x) = 1 X
MINIMAL SURFACES AND MINIMIZERS OF THE GINZBURG-LANDAU ENERGY
"... In this expository article we describe various properties in parallel for minimal surfaces and minimizers of the Ginzburg-Landau energy J(u) = ..."
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Cited by 2 (0 self)
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In this expository article we describe various properties in parallel for minimal surfaces and minimizers of the Ginzburg-Landau energy J(u) =
TARSKI’S PRINCIPLE AND THE ELIMINATION OF QUANTIFIERS
"... Abstract. This is an expository article on Tarski’s principle and the elimination of quantifiers for real closed and algebraically closed fields. 1. ..."
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Abstract. This is an expository article on Tarski’s principle and the elimination of quantifiers for real closed and algebraically closed fields. 1.
A VISUAL FORMALISM FOR WEIGHTS SATISFYING REVERSE INEQUALITIES
"... Abstract. In this expository article we introduce a diagrammatic scheme to represent reverse classes of weights and some of their properties. 1. ..."
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Abstract. In this expository article we introduce a diagrammatic scheme to represent reverse classes of weights and some of their properties. 1.
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