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Topic: Mathematical class


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In the News (Sat 26 Dec 09)

  
  Mathematical Induction, What is Mathematical Induction
Given a hereditary class of which 0 is a member, it follows that 1 is a member of it, because a hereditary class contains the successors of its members, and 1 is the successor of 0.
The successor of the number of terms in the class α is the number of terms in the class consisting of α together with x,where x is any term not belonging to the class.
The principle of mathematical induction might be stated popularly in some such form as "what can be inferred from next to next can be inferred from first to last." This is true when the number of intermediate steps between first and last is finite, not otherwise.
www.math10.com /en/maths-history/mathematical-induction.html   (2703 words)

  
 CenterSpace API Documentation - CenterSpace.NMath.Core
Class ClosedInterval represents a numeric interval with inclusive lower and upper bounds.
Class ClosedOpenInterval represents a numeric interval with an inclusive lower bound and an exclusive upper bound.
Class Polynomial represents a polynomial function as a vector of coefficients.
www.centerspace.net /doc/NMath/Core/ref   (1532 words)

  
 Willard Van Orman Quine, Mathematical Logic
Mathematical logic, which has emerged only in the last hundred and fifty years, is well known to be abstruse and terrifying, and has made the logician into a creature mathematicians view in much the same way others view mathematicians, i.e.
If there is any difference between classes and properties, it is merely this: classes are the same when their members are the same, whereas it is not universally conceded that properties are the same when possessed by the same objects.
The class of all marine mammals living in 1940 is the same as the class of all whales and porpoises living in 1940, whereas the property of being a marine mammal alive in 1940 might be regarded as differing from the property of being a whale or porpoise alive in 1940.
cscs.umich.edu /~crshalizi/reviews/mathematical-logic   (1782 words)

  
 Equivalence Class
Equivalence class, a mathematical concept, is a subset of given set induced by an equivalence relation on that given set.
Any two different equivalence classes are disjoint and the union over all of the equivalence classes is the given set.
Equivalence classes and their corresponding equivalence relation are defined in set theory, a vital foundation for mathematics and those fields that use mathematics.
www.iscid.org /encyclopedia/Equivalence_Class   (153 words)

  
 Mathematical Literacy in PISA
Mathematical literacy entails the use of mathematical competencies at several levels, ranging from performance of standard mathematical operations to mathematical thinking and insight.
First, the content of mathematics, as defined mainly in terms of broad mathematical concepts underlying mathematical thinking (such as chance, change and growth, space and shape, reasoning, uncertainty and dependency relationships), and only secondarily in relation to "curricular strands" (such as numbers, algebra and geometry).
The third competency class consists of mathematical thinking, generalization and insight, and requires students to engage in analysis, to identify the mathematical elements in a situation and to pose their own problems.
www.pisa.gc.ca /math_e.shtml   (287 words)

  
 Programming Is Mathematical Engineering
Actually programmers do reason about their program "mathematically", meaning the process that goes into their heads while writing a program is a form of "mathematical reasoning", albeit informal and sometimes maybe undisciplined and sloppy, because formal reasoning (i.e.
Mathematics, to the extent that I understand it at all, is something entirely different and doesn't seem to occur in the same part of my brain.
Indeed, programs are not the first class of practically useful mathematical objects that folks had to come up with a heuristic of their own, outside the mainstream mathematics.
c2.com /cgi/wiki?ProgrammingIsMathematicalEngineering   (2509 words)

  
 Azusa Pacific University
This course is presents a study of the connections between contemporary mathematics and modern society.
Students should come to class having read the chapters indicated in the classroom schedule, and should be prepared to discuss the topics indicated.
If for some unavoidable reason it becomes impossible for you to be in class for a test (e.g., death in family or illness), you must make every effort to get a message to the instructor prior to the designated test time notifying her of your absence and requesting arrangements to make up the test.
home.apu.edu /~lwickman/Math120Syllabus.htm   (1426 words)

  
 Mathematics Subject Classification - Eua4xiacwiki - Numerical Grid Generation Wiktionary
The Mathematics Subject Classification, MSC is a classification scheme that is used for classification purposes formulated by the by the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH.
Moreover it is used by many mathematics journals, which ask authors of research papers and expository articles to add subject codes from the MSC classification scheme to the abstract of their papers.
Subject classes in the ArXiv — The classification in the ArXiv is chosen to reflect the papers submitted to the ArXiv.
alice.iac.rm.cnr.it:8080 /wiki/index.php/Mathematics_Subject_Classification   (254 words)

  
 A Statistical Manual For Forestry Research
The terms class and class interval are often used interchangeably, although the class interval is actually a symbol for the class.
In practice, the class boundaries are obtained by adding the upper limit of one class interval to the lower limit of the next higher class interval and dividing by 2.
If the class intervals all have equal size, the heights of the rectangles are proportional to the class frequencies and it is then customary to take the heights numerically equal to the class frequencies.
www.fao.org /DOCREP/003/X6831E/X6831E04.htm   (5731 words)

  
 Peter Suber, "Mathematical Induction"
"Mathematical induction" is unfortunately named, for it is unambiguously a form of deduction.
It is like induction in that it generalizes to a whole class from a smaller sample.
Mathematical induction is deductive, however, because the sample plus a rule about the unexamined cases actually gives us information about every member of the class.
www.earlham.edu /~peters/courses/logsys/math-ind.htm   (1191 words)

  
 PEOPLE LIKE US: Social Class in America
In grades 5-8, the mathematics curriculum should include numerous and varied experiences with problem solving as a method of inquiry and application so that students can formulate problems from situations within and outside mathematics; verify and interpret results with respect to the original problem situation; generalize solutions and strategies to new problem situations.
In grades 5-8, the mathematics curriculum should develop the concepts underlying computation and estimation in various contexts so that students can develop, analyze, and explain procedures for computation and techniques for estimation; use computation, estimation, and proportions to solve problems; use estimation to check the reasonableness of results.
In grades 5-8, the mathematics curriculum should include exploration of statistics in real-world situations so that students can systematically collect, organize, and describe data; construct, read, and interpret tables, charts, and graphs; make inferences and convincing arguments that are based on data analysis; evaluate arguments that are based on data analysis.
www.pbs.org /peoplelikeus/resources/lessonplans/income.html   (1501 words)

  
 HTML Version of Graduate References
It requires knowledge in differential equations, probability, and statistics and it is self-contained since the first half of the book is a summarry of methods needed to solve the problems presented in the second half.
The students for such a class would need to have broad knowledge in applied mathematics, numerical analysis, partial differential equations, asymptotic analysis, perturbation methods, and techniques for nonlinear differential equations.
This book considers mathematical modeling with a different perspective than most of the other books listed here: it introduces it through one or more specific techniques rather than through obtaining an insight on real-world problems with mathematical tools.
www-unix.mcs.anl.gov /mathmodeling/modgrad0.html   (1641 words)

  
 ECSE6962, Mobile & Wireless Networks, Fall'03, RPI
Application of mathematical techniques to understand the fundamental, non-intuitive, aspects of the performance and design choices for emerging wireless networks, with a topical interest in mobile ad-hoc networks and large-scale sensor networks.
Mathematical maturity is expected, as is typical of a graduate student in EE, CE or CS.
For example, we will study in class certain mathematical models, and an assignment may introduce an alternative model or a small change in the studied model, then ask you to solve it.
www.ecse.rpi.edu /homepages/abouzeid/6962-03.html   (824 words)

  
 Dominican University
During formal class sessions, there will be ample opportunity for students to ask and answer questions and to participate in discussions on reference sources.
In-class activity: Examination of general science reference sources in the sciences in class, plus a variety of relevant Web sites.
In-class activity: We are creating a new science library at Dominican University to coordinate with the new science hall.
domin.dom.edu /faculty/ejv/lis742/index.htm   (1663 words)

  
 RBS :: Hong Kong Lesson 4   (Site not responding. Last check: )
The teacher requires students not simply to answer whether both sides of the equation are the same with a "yes" or "no," but to write down their conclusions.
The teacher does not make this last point explicitly, perhaps because he expects that the class would know that, if the two sides have the same terms, they really are the same and will be equal for each value of x.
Teaching Mathematics in Seven Countries: Results from the TIMSS 1999 Video Study, NCES (2003-013), by A. Chiu, W. Etterbeek, R. Gallimore, H. Garnier, K. Bogard Givvin, P. Gonzales, J. Hiebert, H. Hollingsworth, J. Jacobs, N. Kersting, A. Manaster, C. Manaster, M. Smith, J. Stigler, E. Tseng, and D. Wearne.
www.rbs.org /mathsci/timss/resource_guide/lessons/detail/hk4.php   (2342 words)

  
 CoRR - Computing Research Repository
Roughly includes material in ACM Subject Classes F.1 (computation by abstract devices), F.2.3 (tradeoffs among complexity measures), and F.4.3 (formal languages), although some material in formal languages may be more appropriate for Logic in Computer Science.
Roughly includes material in all of ACM Subject Class I.3, except that I.3.5 is is likely to have Computational Geometry as the primary subject area.
Roughly includes material in ACM Subject Classes H.1.2 and all of H.5, except for H.5.1, which is more likely to have Multimedia as the primary subject area.
arxiv.org /corr/subjectclasses   (1312 words)

  
 Mathematical Modeling -- Cardinal Stritch University
Mathematical Modeling is an area of applied mathematics that uses mathematical tools for exploring and studying "real world" problems.
Beyond the content of individual courses, the major in mathematics is designed to prepare students for the 21st century by helping students to become problem solvers, effective communicators, users of appropriate technology, and team players.
While each project is related to the mathematical strategies that covered in class activities and lecture, students are expected to do some reading beyond the textbook and some library research to gain a solid background understanding of the problem scenario.
faculty.stritch.edu /breynolds/mt410_02/syllabus_410.html   (2679 words)

  
 LogBlog: Master Class in Mathematical Logic, 2006/07 | Richard Zach | Philosophy | University of Calgary
The three basic concepts that are at the basis of Mathematical Logic (and which obtained a rigorous formulation roughly at the same time, in the twenties-thirties of the past century) are "proof", "truth" and "computation".
The Master Class in Mathematical Logic aims to provide the student with a thorough introduction to the general field, as well as to introduce her/him to research, in advanced, specialized courses.
This Master Class is affiliated to the research cluster Diamant, supported by NWO, and is organized in collaboration with the Department of Computer Science in Nijmegen and the Department of Philosophy in Utrecht.
www.ucalgary.ca /~rzach/logblog/2005/11/master-class-in-mathematical-logic.html   (509 words)

  
 Simple linear regression with PHP: Part 1
After instantiating the class, display some of the summary values generated by the class to assess the degree to which a linear model fits the data.
class with several output methods, and generate a report that presents intermediate and summary values in tabular and graphical formats so that conclusions can more readily be drawn from the data.
Mathematical operations with this extension are close to what one would expect from a compiled language.
www.ibm.com /developerworks/web/library/wa-linphp   (2794 words)

  
 Rudolph Pienaar - C++ Matrix Library
offers a template class interface that is designed to provide a type-safe and bounds-aware mechanism for conceptualizing mathematical matrix operations as well as acting as a numerical-based "container" class.
Most third party matrix classes I examined seemed to either be too complex for simple "quick and dirty" use, or, alternatively, far too primitive to really be of any value.
This class was designed to strike a midpoint between richness of API and ease of use.
www.nmr.mgh.harvard.edu /~rudolph/software/ssocket   (592 words)

  
 Pilot Class Involving Mathematical Modelling
To establish the feasibility and effectiveness of teaching mathematics in the context of mathematical modeling and to establish the effectiveness of "virtual-reality-experimentation" as an aid to this approach.
The pilot class was assessed for their class work on the actual work covered in class which included the various modeling activities.
I was constrained by the traditionally taught classes.
linus.socs.uts.edu.au /~bobr/MathMod.html   (3250 words)

  
 Math Manipulatives
Mathematics Pentathlon-Division 2, Grades 2-3: Teach your class mathematical principles with a variety of board games.
Mathematics Pentathlon-Division 3, Grades 4-5: Teach your class mathematical principles with a variety of board games.
Mathematical Stencil: This tool can be used to trace shapes, letters, and numbers, and can also serve as a ruler.
w3.byuh.edu /library/curriculum/MathMan/MathMan.htm   (1992 words)

  
 Paris Academy of Sciences
The classification was a good one for it correctly anticipated these subjects becoming applied mathematics (and in a small way contributed to this trend).
The First Class of the Institute was Science with 60 members (and effectively the old Academy), the Second Class was Moral and Political Sciences with 36 members, the Third Class was literature and fine arts with 48 members.
The two categories of Mathematical Sciences and Physical Sciences were retained for the First Class with Mathematical Sciences now divided into five: geometry; mechanics; astronomy; geography and navigation; and general physics.
www-groups.dcs.st-and.ac.uk /~history/Societies/Paris.html   (1381 words)

  
 Degree Course in Mathematics - Faculty of Science - UNITN
The Degree Course in Mathematics belongs to class XXXII of the Degrees in Mathematical Sciences.
Mathematics graduates are able to carry out defined technical and professional tasks, for example, mathematical modelling and computational support to activities in industry, finance, services and public administration, or in the educational field of mathematics or in the diffusion of scientific culture.
The degree course in Mathematics offers students the possibility of following courses in addition to the ordinary courses, which contribute to the creation of a course of excellence studies, particularly demanding and intensive, with opportunities for special learning and also for economic support.
www.unitn.it /scienze/eng/corsi_laurea_eng/matematica_eng.htm   (1062 words)

  
 Mathematical classics
As a consequence Li Chunfeng together with Liang Shu, an expert in mathematics from the ministry of education, and Wang Zhenru, a teacher from the national university and others were ordered by imperial decree to annotate the ten mathematical texts such as the Wucao suanjing or the Sunzi suanjing.
These two classes followed a different syllabus, with one class studying more basic practical mathematics while the other was the advanced class studying techniques.
Perhaps the most important mathematics which is included in the Zhoubi suanjing is related to the Gougu rule, which is the Chinese version of the Pythagoras Theorem.
www-history.mcs.st-andrews.ac.uk /HistTopics/Mathematical_classics.html   (1884 words)

  
 Welcome to the International School of Béarn
In mathematics the emphasis is still on practical, understanding and the use of appropriate mathematical language to describe shape, position, size and quantity.
Mathematics is presented “in context” wherever possible so that it can be seen to be related to the world outside the classroom and the world of the child's imagination.
This course is essentially devised to enable children to develop mastery of their mother tongue although it is also open to foreign children who have lived long enough in France to be fluent in the language and to benefit from a more advanced course than is available in the foreign language group.
www.isbearn.com /classes1.htm   (6659 words)

  
 Mathematical Structures: ASL talk
Classes of mathematical structures can be defined in several different ways, e.g.
Especially for researchers who are working in other areas, it is often difficult to assess whether a particular class of structures (or a closely related one) has already been examined in detail in a different context.
The aim of this online database of mathematical structures is to address the problem by providing broad coverage of the many classes of structures that have been investigated in the literature.
math.chapman.edu /cgi-bin/structures?ASL_talk   (975 words)

  
 Isomorphism class - Wikipedia, the free encyclopedia
An isomorphism class is a collection of mathematical objects isomorphic with a certain mathematical object.
A mathematical object usually consists of a set and some mathematical relations and operations defined over this set.
Isomorphism classes are often defined if the exact identity of the elements of the set is considered irrelevant, and the properties of the structure of the mathematical object are studied.
en.wikipedia.org /wiki/Isomorphism_class   (224 words)

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