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Topic: Characterization (mathematics)

	Characterization - Wikipedia, the free encyclopedia
		Characterization is the process of creating characters in fiction, often those who are different from and have different beliefs than the author.
		Thorough characterization makes characters well-rounded and complex even though the writer may not be like the character or share his or her attitudes and beliefs.
		Characterization can involve developing a variety of aspects of a character, such as appearance, age, gender, educational level, vocation or occupation, financial status, marital status, hobbies, religious beliefs, ambitions, motivations, etc. Often these can be shown through the actions and language of the character, rather than by telling the reader directly.
	en.wikipedia.org /wiki/Characterization (260 words)

	Insights Into Algebra 1 . Workshop 6
		In the mathematics classroom, the affective domain is concerned with students' perception of mathematics, their feelings toward solving problems, and their attitudes about school and education in general.
		Mathematics students, particularly in the middle grades and high school, can do their part by engaging seriously with the material and striving to make mathematical connections that will support their learning.
		No mathematics classroom is free of the question "When are we ever going to use this?" Students ask this question all the time, and unless we are able to provide acceptable answers, students may believe that mathematics has no use in their lives.
	www.learner.org /channel/workshops/algebra/workshop6/teaching.html (2885 words)

	Characterization (mathematics) - Wikipedia, the free encyclopedia
		In the jargon of mathematics, the statement that "Property P characterizes object X " means, not simply that X has property P, but that X is the only thing that has property P.
		The second says that the extension of Q is a single equivalence class (for isomorphism, in the given example â” depending on how up to is being used, some other equivalence relation might be involved).
		The circle is characterized as a manifold by being one-dimensional, compact and connected ; here the characterization, as a smooth manifold, is up to diffeomorphism.
	en.wikipedia.org /wiki/Characterization_(mathematics) (283 words)

	Category:Mathematics - What-Means.com (Site not responding. Last check: 2007-11-05)
		Mathematics is commonly defined as the study of patterns of structure, change, and space ; more informally, one might say it is the study of 'figures and numbers'.
		In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation ; other views are described in Philosophy of mathematics.
		Mathematics might be seen as a simple extension of spoken and written languages, with an extremely precisely defined vocabulary and grammar, for the purpose of describing and exploring physical and conceptual relationships.
	www.what-means.com /encyclopedia/Category:Mathematics (130 words)

	Morris Kliine's Why Johnny Can't Add - Chapter 10: The Deeper Reasons for the New Mathematics.
		Mathematics was regarded as one of the sciences and indeed during the seventeenth, eighteenth, and most of the nineteenth centuries the distinction between mathematics and theoretical science was rarely noted.
		Mathematics now is turned inward; it feeds on itself; and it is extremely unlikely, if one may judge by what happened in the past, that most of the modern mathematical research will ever contribute to the advancement of science.
		Mathematics has expanded enormously, as has science, and most mathematicians are almost obliged to concentrate on limited areas in order to keep abreast of other people's creations and produce new results of their own.
	www.marco-learningsystems.com /pages/kline/johnny/johnny-chapt10.html (8247 words)

	Applied Mathematics: Faculty
		The mathematical theory of molecular motor movement and chemomechanical energy transduction.
		A mathematical analysis of the Brownian dynamics of DNA tether.
		Characterization of the equilibrium distribution of polymer molecular weights by fluorescence distribution spectroscopy - theoretical results.
	www.amath.washington.edu /people/faculty/qian/publications.html (1648 words)

	2002-03 UC Irvine Catalogue: Engineering
		Because MSE primarily deals with the processing, behavior, and characterization of materials and because these three components are the focus of research in Chemical Engineering and Materials Science, it is important to establish a common foundation in Materials Science and Engineering for students with various backgrounds and research interests.
		Prerequisite: Mathematics 3D or equivalent, or consent of instructor.
		Prerequisites: CBEMS110 and CBEMS112; or consent of instructor.
	www.editor.uci.edu /02-03/engr/engr.5.htm (6067 words)

	The Utility of Mathematics
		Mathematics is the model of a-priori knowledge in the Aristotelian tradition of rationalism.
		The Greek awe of mathematical knowledge is still with us; it's behind the traditional metaphor of mathematics as "Queen of the Sciences". It's been reinforced by the spectacular successes of mathematical models in science, successes the Greeks (lacking even simple algebra) could never have foreseen.
		The majority of mathematicians quickly became "Formalists", holding that pure mathematics could not be philosophically considered more than a sort of elaborate game played with marks on paper (this is the theory behind Robert Heinlein's pithy characterization of mathematics as "a zero-content system").
	www.catb.org /%7Eesr/writings/utility%2Dof%2Dmath (1201 words)

	Thinking About the Content of Mathematics Lessons
		Keep in mind that it is intended to characterize what teachers are told to write; i.e., what is in the texts that they are expected to read, what the prescriptive educational literature suggests, and therefore what school administrators require or will accept.
		Spurred on by the sense that students in the United States were ill prepared in mathematics and science, university professors of biology, physics, chemistry, and mathematics became involved with others in a variety of curriculum development projects.
		Mathematical knowledge, Polya argues, is developed by complex processes involving -- in addition to generalization and deduction -- specialization, analogy, observation, plausible reasoning, and even guessing.
	condor.depaul.edu /~ppereira/pers/math.htm (7388 words)

	Commentary Magazine - The Study of Man: Sociology Learns the Language of Mathematics (Site not responding. Last check: 2007-11-05)
		...Mathematics is not yet capable of coping with the naivety of the mathematician himself...
		...Mathematical statistics is the theory of the treatment of repeated-or mukiple-observations in order to obtain all and only those conclusions for which such observations are evidence...
		...Mathematics is of importance for the social sciences not merely in the study of those aspects in which man is assimilable to inanimate nature, but precisely in his most human ones...
	www.commentarymagazine.com /Summaries/V14I3P84-1.htm (8108 words)

	Characterization (mathematics) - Result for Characterization (mathematics) - Meaning of Characterization (mathematics) ...
		In the jargon of mathematics, the statement that "Property ''P'' characterizes object ''X''" means, not simply that ''X'' has property ''P'', but that ''X'' is the ''only'' thing that has property ''P''.
		The second says that the extension of ''Q'' is a single equivalence class (for isomorphism, in the given example — depending on how ''up to'' is being used, some other equivalence relation might be involved).
		There you find a list of all editors and the possibility to edit the original text of the article Characterization (mathematics).
	www.mauspfeil.net /characterization_(mathematics).html (282 words)

	Publication
		Curvature characterization and classification of rank-one symmetric spaces, Pacific Journal of Mathematics 150(1991), 31-42.
		Quaternionic Kaehler manifolds and a curvature characterization of two-point homogeneous spaces, Illinois Journal of Mathematics 35(1991), 408-418.
		The dimension of the moduli space of superminimal surfaces of a fixed degree and conformal structure in the four-sphere, Tohoku Journal of Mathematics 52(2000), 299-308.
	www.math.wustl.edu /~chi/Publication.html (392 words)

	Jean-Luc Marichal (Site not responding. Last check: 2007-11-05)
		Ph.D. in Mathematics, University of Liège, Belgium, 1998.
		Scientific Research Worker of FNRS (National Scientific Research Fund, Belgium) (from 2000 to 2001), Department of Mathematics, University of Liège, Belgium.
		Teaching Assistant (from 1992 to 1993), Department of Mathematics, University of Liège, Belgium.
	www.math.byu.edu /~marichal (1766 words)

	Logical Consequence, Model-Theoretic Conceptions [Internet Encyclopedia of Philosophy]
		One well-known specification of this informal characterization is the model-theoretic conception of logical consequence: a sentence X is a logical consequence of a set K of sentences if and only if all models of K are models of X. The model-theoretic characterization is a theoretical definition of logical consequence.
		The correctness of the model-theoretic characterization of logical consequence, and the adequacy of the notion of a logical constant it utilizes are matters of contemporary debate.
		One well-known specification of this informal characterization, due to Tarski (1936), is: X is a logical consequence of K if and only if there is no possible interpretation of the non-logical terminology of the language L according to which all the sentence in K are true and X is false.
	www.iep.utm.edu /l/logcon-m.htm (9619 words)

	Patterns in Mathematics
		Some people say that mathematics is the science of patterns.
		Not only do patterns take many forms over the range of school mathematics, they are also a unifying theme.
		And through visual and written forms of expressions, you'll connect language and mathematics to develop skills for thinking clearly, strategically, critically, and creatively.
	www.learner.org /teacherslab/math/patterns/index.html (151 words)

	REFLECTIONS ON TEACHING SENIOR MATHEMATICS (Site not responding. Last check: 2007-11-05)
		The derivative is such a fundamental mathematical object that it will soon escape from any constraints put on it, but there are some quite explicit applications of the derivative in our course.
		The geometric ideas need to be taken seriously because here, as in all of mathematics, ancient and modern, geometric ideas seem to be the key to a really fundamental understanding of the structure of the material and its interrelationships.
		Like all coherent courses in mathematics, this unity is simplistic, and I began by showing how even the simplest structures have implications and suggestions that lead far beyond our courses.
	hsc.csu.edu.au /pta/mansw/vol24no3_99pender.htm (6135 words)

	Encyclopedia: Characterization
		In the jargon of mathematics, the statement that Property P characterizes object X means, not simply that X has property P, but that X is the only thing that has property P. It is also common to find statements such as Property Q characterises Y up to isomorphism.
		The Three Graces, here in a painting by Sandro Botticelli, were the goddesses of charm, beauty, nature, human creativity and fertility in Greek mythology.
		The term writer can apply to anyone who creates a written work, but the word more usually designates those who write creatively or professionally, or those who have written in many different forms.
	www.nationmaster.com /encyclopedia/Characterization (520 words)

	Hart, "Quantifying Ritual"
		Prior to the arrival of the Jesuits, Ming mathematics, along with science and thought in general, was in a state of decline.
		Zhu's mathematics is perhaps some of the most sophisticated found in extant texts from the Ming Dynasty, yet he is rarely even mentioned in studies of Ming mathematics; his New Explanation of the Theory of Calculation has been overlooked.
		G. Lloyd reaffirms the general validity of the characterizations of a "cause-oriented Greek culture and a correlation-oriented Chinese one" (93), while noting that the Greeks "were no strangers to correlative thinking" (94) and "Chinese interest in the explanation of events is certainly highly developed in such contexts as history and medicine" (109).
	uts.cc.utexas.edu /~rhart/papers/quantifying.html (7080 words)

	Curriculum Vitae for Silvia Onofrei (Site not responding. Last check: 2007-11-05)
		A characterization of two classes of locally truncated diagram geometries, Adv.
		Mathematical aspects of Regge calculus, in Proceedings of the I-st and II-nd Conferences on General Relativity and Gravitation, Bistrita, 1991-1992, 256, Ed.
		Mathematical aspects of Regge calculus, The 2nd Conference on Theoretical Physics, General Relativity and Gravitation, Bistrita, May 1992.
	math.ucr.edu /~onofrei/cv/cv.htm (1355 words)

	Category:Mathematics - Indopedia, the Indological knowledgebase
		Mathematics has been called "the language of the universe".
		See the list of mathematical topics for a far more comprehensive list of mathematical topics.
		This page was last modified 15:11, 24 Dec 2004 by Plamen Gradinarov.
	www.indopedia.org /Category:Mathematics.html (187 words)

	Technique statistics ebooks (e-books) links US (Site not responding. Last check: 2007-11-05)
		This is the first book to provide a comprehensive introduction to this new technique complete with the fundamental mathematical background needed to understand and utilize it.
		It also provides a summary of major particle sizing and other characterization methods, statistics and sample preparation techniques used in particle characterization, and almost 500 references.
		Mathematical modelling techniques are playing an increasingly important role in biomedical research.
	statistics.hopcott.net /statistics/technique.html (578 words)

	Department of Mathematics - Richard Weiss (Site not responding. Last check: 2007-11-05)
		A Characterization of the Group $Co_3$ as a Transitive Extension of $HS$
		A Geometric Characterization of the Groups $McL$ and $Co_3$
		A Characterization of the Groups $Fi_{22}$, $Fi_{23}$ and $Fi_{24}$ (Co-author: J. van Bon)
	www.tufts.edu /as/math/weiss.html (154 words)

	ENGLISH ENCYCLOPAEDIA - Characterization (mathematics) (Site not responding. Last check: 2007-11-05)
		• "Among probability distributions on the interval from 0 to ∞ on the real line, memorylessness characterizes the exponential distributions." This statement means that the exponential distributions are the only probability distributions that are memoryless.
		• "According to Bohr-Mollerup theorem, among all functions f such that f (1) = 1 and x f ( x) = f ( x + 1) for x > 0, log-convexity characterizes the gamma function." This means that among all such functions, the gamma function is the only one that is log-convex.
		• The circle is characterized as a manifold by being one-dimensional, compact and connected ; here the characterization, as a smooth manifold, is up to diffeomorphism.
	encyclopaedic.net /english/ch/characterization__mathematics_.html (406 words)

	UC Berkeley Mathematics (Site not responding. Last check: 2007-11-05)
		It has become increasingly apparent that subsurface formations are heterogeneous at all length scales, and that ﬁne scale heterogeneities, particularly in the permeability ﬁeld, can have a signiﬁcant impact on large scale ﬂow.
		Due to the diﬃculty in complete and certain characterization of these heterogeneities, stochastic representations of subsurface geologic properties have become commonplace.
		This characterization provides signiﬁcant guidance for uncovering eﬀective methods (and their limits) for the scaling-up of multiphase ﬂow systems to scales suitable for computationally inexpensive yet accurate ﬂuid ﬂow simulations.
	math.berkeley.edu /calendar-event391.html (215 words)

	CU-Denver Department of Mathematics Events
		We show that in general, the class of interval bigraphs contains tolerance graps that are triangle-free (and hence bipartite).
		By extending this result, we obtain a characterization of triangle-free tolerance graphs.
		We also give separating examples to show that this containment relationship is proper.
	www-math.cudenver.edu /events/QueryEvent.php?eid=131 (61 words)

	Articles Authored by F.S. Roberts
		A characterization of clique graphs (with J.Spencer), in R. Guy, H. Hanani, N. Sauer, and J. Schonheim (eds.), Combinatorial Structures and Their Applications, Gordon and Breach, NY, 1970, 367-368.
		A characterization of clique graphs (with J. Spencer), Jour.
		Challenges for discrete mathematics and theoretical computer science in the defense against bioterrorism, in C. Castillo-Chavez and H.T. Banks (eds.), Mathematical and Modeling Approaches in Homeland Security, SIAM Frontiers in Applied Mathematics Series, 2003, 1-34.
	dimacs.rutgers.edu /People/Staff/froberts/ArticlesAuthored.html (2538 words)

	Melvin Robert Currie - Mathematicians of the African Diaspora
		His skill for mathematics was noticed early, ande was among the few chosen to study algebra in the eighth grade.
		From 1983 to 1986, Dr. Currie was an Assistant Professor of Mathematics at Auburn University.
		From 1986 to 1990, Assistant Professor of Mathematics at the University of Richmond.
	www.math.buffalo.edu /mad/PEEPS/currie_melvinr.html (483 words)

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