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Topic: Domain (mathematics)

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	Domain (mathematics) - Wikipedia, the free encyclopedia
		In mathematics, the domain of a function is the set of all input values to the function.
		There are two distinct meanings in current mathematical usage for the notion of the domain of a partial function.
		In complex analysis, a domain is an open connected subset of the complex numbers.
	www.wikipedia.org /wiki/Function_domain (430 words)

	Level 5 \| Mathematics \| Discipline-based Learning \| P-10 Curriculum and Standards \| Victorian Essential Learning ... (Site not responding. Last check: 2007-10-13)
		In Working mathematically students learn to move from consideration of multiple examples of true propositions to informal consideration of justification for general conjectures based on the examples.
		Students develop simple mathematical models for familiar and unfamiliar situations based on the identification of characteristic conditions such as symmetry, invariance and constant rates of change.
		They apply standard mathematical models and make predictions based on interpolation (working with what is already known) and extrapolation (working beyond what is already known) using known computations and established constructions.
	vels.vcaa.vic.edu.au /images/maths/glossary/level5.html (2445 words)

	The Head Start Child Outcomes Framework - Domain 3: Mathematics
		Mathematics is an area where many English language learners accelerate because they can manipulate materials, as well as their bodies and hands, to practice math skills.
		An effective early mathematics program is not a scattered assortment of unrelated activities—a pinch of this, a dash of that.
		Geometry is the area of mathematics that involves shape, size, space, position, direction, and movement and describes and classifies the physical world in which we live.
	www.headstartinfo.org /leaders_guideeng/domain3.htm (2798 words)

	Free Book (Site not responding. Last check: 2007-10-13)
		It began with the idea that it might be possible to model mathematically the concept known as subliminal perception and other similar notions that do not lend themselves to numerical modeling.
		The mathematical structure and processes were purposely chosen to be the simplest and least controversial.
		The theoretical science produced is claimed to be ``rational'' since it follows the patterns of a mathematical structure.
	www.serve.com /herrmann/books.htm (2018 words)

	Level 2 \| Mathematics \| Discipline-based Learning \| P-10 Curriculum and Standards \| Victorian Essential Learning ... (Site not responding. Last check: 2007-10-13)
		Students learn about Structure and Working mathematically by creating and manipulating sets of numbers, shapes, objects and patterns according to given criteria and they use a combination of every-day language and mathematical statements involving numerals, operations, connectives and relations to describe their mathematical working and results.
		Structure provides for the further development of key constructs of set, logic, function and algebra that are fundamental to the development of mathematical concepts, skills and processes in Number, Space, Measurement, chance and data and Working mathematically.
		In this domain, standards for the Structure dimension are introduced at Level 3.
	vels.vcaa.vic.edu.au /images/maths/glossary/level2.html (1297 words)

	Computational Mathematics
		Mathematical maturity and a broad knowledge of various areas in mathematics would be advantageous.
		Domain decomposition methods (DDMs) were originated by Schwarz back in the 19th century (1870) as a way of solving boundary value problems on complicated geometries.
		The aim of this course will be to give an introduction to the use of domain decomposition methods as preconditioning techniques to solve linear systems of equations arising from the discretisation of partial differential or boundary integral equations.
	www2.maths.unsw.edu.au /amsiss04/compmath.html (637 words)

	Function domain (Site not responding. Last check: 2007-10-13)
		In mathematics, given a function f: A → B, the set A is called the domain, or domain of definition of f.
		It is thus not a function on the set R of real numbers; R can't be its domain.
		The domain of given function can be restricted to a subset.
	www.termsdefined.net /fu/function-domain.html (158 words)

	k4. The wider domain of mathematics + sciences and the wider solution space of m (Site not responding. Last check: 2007-10-13)
		The wider domain of mathematics + sciences and the wider solution space of mathematics + sciences, let's be critical, version 2
		Essential is that we define non-deterministic not in the mathematical way, still the past determines the future.
		And mathematically non-deterministic at each decision point is a relation that tells that this input becomes this set of outputs.
	nnw.berlios.de /docs.php/intro-ftk4 (459 words)

	Ernst von Glasersfeld - An Exposition of Constructivism: Why some like it radical
		To indicate that the theoretical infallibility of mathematical operations (in practice, mistakes may, of course, occur) cannot be claimed as proof that these operations give access to an ontological reality, I have compared this generation of certainty to the game of chess.
		This is one of the reasons why mathematics teachers often insist (to the immense boredom of the students) on the exact documentation of the algorithm by means of which the result was obtained.
		Similarly, there is no harm in speaking of knowledge, mathematical and other, as though it had ontological status and could be "objective" in that sense; as a way of speaking this is virtually inevitable in the social interactions of everyday life.
	www.oikos.org /constructivism.htm (4746 words)

	Unique factorization domain (Site not responding. Last check: 2007-10-13)
		In mathematics, a unique factorization domain (UFD) is, roughly speaking, a ring in which every element can be uniquely written as a product of prime elements, analogous to the fundamental theorem of arithmetic for the integers.
		Formally, a unique factorization domain is defined to be an integral domain R in which every non-zero non-unit[?] x of R can be written as a product of irreducible elements of R:
		All principal ideal domains are UFD's; this includes the integers, all fields, all polynomial rings K[X] where K is a field, and the Gaussian integers Z[i].
	www.termsdefined.net /un/unique-factorization-domain.html (538 words)

	Mathematics - a new Domain for Datamining
		One problem, of course, is the sheer amount of mathematical data available: in [hoffman:erdos] it is estimated that around 250,000 new theorems are proved and presented in journals every year.
		Automated discovery in mathematics does not necessarily have to be based on the formal definitions of concepts and statements of conjectures.
		Mathematical databases have the same problems as other scientific datasets: they are heterogeneous both internally and in relation to each other.
	www.doc.ic.ac.uk /~sgc/html_papers/colton_ijcai01.html (3457 words)

	Bachelor's Degree Regulations > UTSA 2004-2006 Undergraduate Catalog > University of Texas at San Antonio
		Another essential aim is to foster understanding of the intellectual and cultural pluralism of modern society as it is reflected in natural science and mathematics; behavioral, cultural, and social science; and literature and artistic expression.
		The Core Curriculum is built on the assumption that the foundations of the general part of a student’s education are laid in secondary school.
		To achieve the objectives of Domain I, students must demonstrate knowledge of higher mathematics sufficient to understand the basis of mathematical reasoning, and knowledge of the methods, intellectual approaches, social significance, and history of the physical and natural sciences.
	www.utsa.edu /ucat/chapter1/BAdegreeRegs.cfm (2591 words)

	S.O.S. Mathematics CyberBoard :: View topic - Domain Question for composite functions
		This conclusion works, assuming the domain of g(x) can properly be defined so that it results in no values in the range of g(x) such that, when the values of the range of g(x) are defined as the domain of f(x), f(x) operates to, for example, divide by zero.
		A value that, in the domain of g(x), corresponds to a range value for g(x) which is in the domain of f(x) is in the domain of the composite, even though it is outside the domain values of f(x).
		But I recall from somewhere that one must exclude from the domain of a composite function any value which is excluded from the domain of any of the functions of which it is composed.
	www.sosmath.com /CBB/viewtopic.php?t=15937&sid=980ba2ccdfab7549e80ebd1c71845ddf (1532 words)

	Recursively enumerable set - Wikipedia, the free encyclopedia
		In other words if S is the domain of f :
		(Note that this is one of two possible senses of the domain of a partial function, but the one preferred in recursion theory.
		A set S is called co-recursively enumerable or co-r.e.
	en.wikipedia.org /wiki/Recursively_enumerable (556 words)

	A Constructivist Approach to Infusing Learning Domain and Multiple Intelligence Theories into Mathematics Instruction (Site not responding. Last check: 2007-10-13)
		Add to the mix a requirement for students to complete at least one course in mathematics during the first semester and the conditions are set for potential academic disaster.
		To mitigate against this prospect, a father son team, the father a professor of education and the son a professor of mathematics, pools their discipline expertise in order to create opportunities for successful learning experiences in college mathematics.
		The team applies pedagogical theory to the content of college algebra with a focus on providing low stress, high achievement experiences for students from any population, but especially for students who are historically underrepresented among the ranks of college students.
	l05.cgpublisher.com /proposals/942/index_html (416 words)

	Coincidence point - tScholars.com (Site not responding. Last check: 2007-10-13)
		In mathematics, a coincidence point (or simply coincidence) of two mappings is a point in their domain having the same image point under both mappings.
		Notable among them, in the setting of manifolds, is the Lefschetz coincidence theorem, which is typically known only in its special case formulation for fixed points.
		Coincidence points, like fixed points, are today studied using many tools from mathematical analysis and topology.
	www.tscholars.com /encyclopedia/Coincidence_point (207 words)

	Modulus of continuity - (Site not responding. Last check: 2007-10-13)
		In mathematics, the modulus of continuity is a precise way to measure the smoothness of a function.
		It is used as a delicate tool in mathematical analysis, to discuss highly non-smooth functions, which nonetheless enjoy some (very generalized) kind of smoothness.
		Similar but less refined notions such as Lipschitz continuity and Hölder class are subsumed by the explicit use of the modulus of continuity.
	www.grohol.com /psypsych/Modulus_of_continuity (499 words)

	Dunham Academy - Curriculum-The Dunham Academy curriculum combines a core curriculum in history, geography and science ...
		The cyclical nature of the program ensures that no concepts that are skipped are retested at a later time to ensure continued mastery.
		Opportunities are taken to enrich the mathematics curriculum with exercises in logical reasoning, the reading of math-related books after achieving certain milestones, such as reading Flatland after completing Algebra 1 and before beginning Geometry, and through participation at the Middle school level in the national Mathletes program
		The field trips are announced and organized on a case by case basis.
	www.giftedschool.org /ac_curriculum.htm (1224 words)

	Function domain - Encyclopedia, History, Geography and Biography
		Function domain - Encyclopedia, History, Geography and Biography
		This page was last modified 21:27, 27 July 2004.
		This encyclopedia, history, geography and biography article about Function domain contains research on
	www.arikah.net /encyclopedia/Function_domain (46 words)

	Note On Strongly Regular Families Of Triangulations For Domains With A Piecewise Smooth Boundary (ResearchIndex)
		We present an algorithm for a construction of strongly regular families of triangulations for planar domains with a piecewise smooth boundary.
		Keywords: strongly regular family, triangulation, planar domain Mathematics Subject Classification (1991): 65N30 1.
		Introduction There are two basic ways how to treat planar domains with a piecewise smooth boundary when solving partial differential equations by the finite...
	citeseer.ist.psu.edu /korotov98note.html (317 words)

	Domain Decomposition Methods in Scientific and Engineering Computing: Proceedings of the Seventh International ... (Site not responding. Last check: 2007-10-13)
		Domain Decomposition Methods in Scientific and Engineering Computing: Proceedings of the Seventh International Conference on Domain Decomposition Oc (Contemporary Mathematics)
		Domain Decomposition Methods in Scientific and Engineering Computing: Proceedings of the Seventh International Conference on Domain Decomposition Oc (Contemporary Mathematics) Reference Book.
		The term "domain decomposition" has for nearly a decade been associated with the partly iterative, partly direct algorithms explored in the proceedings of this conference.
	www.pagenation.com /an/0821851713.html (339 words)

	math lessons - Domain (mathematics)
		Given a function f : A → B, the set A is called the domain, or domain of definition of f.
		In cases like this, the function is usually either defined on R \ {0}, or the "gap" is plugged by specifically defining f(0).
		algebra arithmetic calculus equations geometry differential equations trigonometry number theory probability theory applied mathematics mathematical games mathematicians
	www.mathdaily.com /lessons/Function_domain (188 words)

	On the domain derivative for scattering by impenetrable obstacles in chiral media -- Potthast and Stratis 68 (6): 621 ...
		On the domain derivative for scattering by impenetrable obstacles in chiral media -- Potthast and Stratis 68 (6): 621 -- IMA Journal of Applied Mathematics
		On the domain derivative for scattering by impenetrable obstacles in chiral media
		Department of Mathematics, University of Athens, Panepistimiopolis, GR-15784 Zographou, Athens, Greece
	imamat.oupjournals.org /cgi/content/abstract/68/6/621 (173 words)

	Kids Domain Downloads - Microgravity: Fall into Mathematics (Site not responding. Last check: 2007-10-13)
		It gives a historical overview of the contributions of Galileo, Newton, and Einstein to gravity and microgravity, and thus to the development of the space program.
		There are 3 mathematical problems to try (answers are included), and descriptions of four types of microgravity platforms.
		A fascinating overview of science history, and microgravity research, with related math problems - for classroom use or research at home.
	www.kidsdomain.org /down/mac/microgravity.html (102 words)

	Efficiency of the domain decomposition method for the parallelization of implicit finite element code (Site not responding. Last check: 2007-10-13)
		An analytical model is presented for estimating parallel efficiency of the domain decomposition method which is used for the parallelization of implicit finite element code.
		Serial and parallel finite element codes with domain decomposition and direct LDU solution of equation systems are developed.
		"Efficiency of the domain decomposition method for the parallelization of implicit finite element code," icpads, p.
	doi.ieeecs.org /DOIResolver/resolver/10.1109/ICPADS.1996.517544 (217 words)

	S.O.S. Mathematics CyberBoard :: View topic - domain of a curve
		Posted: Tue, 7 Jun 2005 20:01:30 GMT Post subject: This is meant as a challenge to the tutors and others.
		To find the domain of y, we must determine the values of x for which y is defined (i.e., nothing funny happens, such as dividing by 0).
		First, the expression under the square root symbol must be positive (it can't be negative, for otherwise we would be taking the square root of a negative number, and it can't be 0, for otherwise we would have a division by 0 error).
	www.sosmath.com /CBB/viewtopic.php?t=16354&sid=e76eb99e4070523109b3b8e8b52e1c2e (903 words)

	Interface, Instructional Approach, and Domain Learning with a Mathematics Problem-Solving Environment - Storming Media
		Abstract: We conceptualize Computer-Based Instruction (CBI) as involving both a primary task, learning to use a particular domain, and a secondary task, learning to use instructional approach embodied in a computer system and to manipulate its interface.
		We argue that the complexity and compatibility of the instructional approach and the interface separately and interactively influence the ease with which students are able to learn the subject matter.
		We also describe an experimental methodology for dissociating and measuring the separate relative effect on learning of using a CBI system for mathematics word problems.
	www.stormingmedia.us /16/1653/A165303.html (192 words)

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