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Topic: Restriction (mathematics)

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	Restriction - Wikipedia, the free encyclopedia
		In general usage, a restriction is a specific type of rule which defines a finite (and generally absolute) boundary defined for a type of process or function.
		In mathematics, a restriction is a type of function.
		In mathematics, in the context of sheaves and binary relations, a restriction is a type of function.
	en.wikipedia.org /wiki/Restriction (144 words)

	Sheaf (mathematics) - Wikipedia, the free encyclopedia
		In mathematics, a sheaf F on a topological space X is something that assigns a structure F(U) (such as a set, group, or ring) to each open set U of X.
		Restriction and gluing of vector fields works like that of functions, and we obtain a sheaf of vector spaces on the manifold X.
		At this point sheaves had become a mainstream part of mathematics, with use by no means restricted to algebraic topology.
	en.wikipedia.org /wiki/Sheaf_(mathematics) (2995 words)

	Brock University Undergraduate Calendar - 2001-2002 Courses
		Restriction: open to students admitted to the Ontario Certificate of Qualification Native Teacher Education, French Teaching Specialization, Pre-service Education and Technological Studies Education programs and to CHYS BA/BEd, and BSc/BEd majors with a minimum of 15.0 overall credits and BPhEd (honours)/BEd and BFTS BA/BEd majors with a minimum of 19.5 overall credits.
		Restriction: open to students admitted to the Junior/Intermediate program and to BSc/BEd majors with a minimum of 15.0 overall credits and may also be open as an option to students admitted to the Primary/Junior Program and BPhEd(honours)/BEd majors with a minimum of 20.0 credits and BA/BEd majors with a minimum of 15.0 credits.
		Restriction: open to students admitted to the Pre-service Education program and to CHYS BA/BEd majors with a minimum of 15.0 overall credits and to BPhEd (honours)/BEd majors with a minimum of 20.0 overall credits.
	www.brocku.ca /webcal/2001/undergrad/courses/EDUC.html (8906 words)

	Brock University Undergraduate Calendar - 2004-2005 Courses
		Restriction: open to students admitted to Junior/Intermediate program with French as a teachable subject and BA Integrated Studies (Honours)/BEd (Junior/Intermediate) with French as a teachable with a minimum of 15.0 overall credits.
		Restriction: open to students admitted to the Junior/Intermediate program, and to BSc Integrated Studies (3 Year [Pass])/BEd (Junior/Intermediate) majors with a minimum of 15.0 overall credits, BA Integrated Studies (Honours)/BEd (Junior/Intermediate) and BSc Integrated Studies (Honours)/BEd (Junior/Intermediate) majors with a minimum of 20.0 overall credits.
		Restriction: open to students admitted to the Ontario Certificate of Qualification Native Teacher Education and Primary/Junior programs, and to BA CHYS (3 Year [Pass])/BEd (Primary/Junior) majors with a minimum of 15.0 overall credits and BPhEd (Honours)/BEd (Primary/Junior) majors with a minimum of 20.0 overall credits.
	www.brocku.ca /webcal/2004/undergrad/courses/EDUC.html (9985 words)

	Constructive Mathematics
		Mathematics arises when the subject of two-ness, which results from the passage of time, is abstracted from all special occurrences.
		However, the comparison with classical mathematics should not be made superficially: in order to understand that there is no real contradiction here, we must appreciate that the meaning of such terms as “function” and even “real number” in intuitionistic mathematics is quite different from that in the classical setting.
		What was needed to raise the profile of constructivism in mathematics was a top-ranking classical mathematician to show that a thoroughgoing constructive development of mathematics was possible without a commitment to Brouwer's non-classical principles or to the machinery of recursive function theory.
	plato.stanford.edu /entries/mathematics-constructive (6375 words)

	Minor Programs in Mathematics \| Department of Mathematics
		Restriction: No upper-division courses other than MTH 306 and MTH 341 used to satisfy requirements in a student's major may also be used to satisfy the requirements of the actuarial science minor.
		The requirements for the minor in mathematical sciences are a total of 10 courses, totaling at least 30 credits, selected from either the mathematical sciences major or MTH 361, ST 431.
		Restriction: No upper-division course used to satisfy a requirement in the student’s major can be used to satisfy mathematical sciences minor requirements of the student.
	www.math.oregonstate.edu /node/view/77 (298 words)

	Mathematics - Current Students - The University of Auckland (Site not responding. Last check: 2007-11-02)
		Involving participation in a research project or investigation in a topic from pure mathematics, applied mathematics or mathematics education under the supervision of one or more staff members, and presentation by the student of the results in a written report and a seminar.
		The use of computers and calculators in mathematics education, with a focus on both theoretical and practical aspects of the use of computers in the mathematics classroom.
		Each of these courses involves participation in a research project or investigation in some topic from pure or applied mathematics, under the supervision of one or more staff members, and presentation, by the student, of the results in a seminar; further information may be obtained from the Department of Mathematics.
	www.auckland.ac.nz /uoa/for/currentstudents/academiclife/transition-regulations/2006-course-prescriptions/faculty-of-science/faculty-of-science-mathematics.cfm (3419 words)

	Department of Mathematics and Statistics Courses
		Restriction: A student may not receive credit for MAT 130 and 140 or 145 or 150.
		A study of mathematical models used in the social, life and management sciences and their role in explaining and predicting real world phenomena.
		Topics in mathematics of special interest to secondary teachers of mathematics taught with emphasis on presenting them to high school students.
	www.murraystate.edu /qacd/cos/math/MathCourses.htm (2297 words)

	Mathematics and Computer Science Course Catalog
		Mathematics courses selected from those numbered 240 and higher to bring the total hours for the major to at least 30 semester hours.
		Restriction: Credit is not allowed for both 110-111 and 211.
		Restriction: Credit is not allowed for both 119 and 129.
	www.mathcs.richmond.edu /catalog.html (1163 words)

	Amazon.com: Mathematics of Genome Analysis: Books: Jerome K. Percus,C. Cannings,F. C. Hoppensteadt,L. A. Segel (Site not responding. Last check: 2007-11-02)
		"Mathematics of Genome Analysis is a suitable textbook for a mathematics course aimed at raising awareness of the challenges that are posed by computational biology.
		Recognizing that DNA is two large for direct analysis, restriction fragments are discussed in the second section, with emphasis on the restriction-enzyme fingerprint.
		The mathematics becomes more rigorous in chapter two, wherein the author analyzes a chain that exists as a set of cloned subchains with unknown overlap.
	www.amazon.com /exec/obidos/tg/detail/-/0521585260?v=glance (1918 words)

	Carolina Biological: Biotechnology and Genetics: Plasmid Mapping: Introduction
		Whenever a DNA molecule is cut with a restriction enzyme, the resulting pieces often need to be reassembled in a map representing the relative locus where the restriction enzyme cut the DNA molecule.
		Because plasmids are rings or circles of DNA, a restriction enzyme that cuts a plasmid once results in a linear piece of DNA that has the same number of base pairs as the original plasmid.
		A restriction enzyme that cuts a plasmid twice results in 2 linear pieces of DNA whose total number of base pairs equals the number of base pairs in the original plasmid.
	www.carolina.com /biotech/plasmid_problems/plasmid_guide.asp (949 words)

	Carolina Biological: Carolina Tips: Restriction Maps and Logic Puzzles (page 1 of 3)
		Restriction enzymes recognize and cut DNA at specific sequences of nucleotides (called restriction sites), and the sizes of the DNA fragments correspond to the distances (in base pairs) between restriction sites.
		Doing a restriction enzyme digest with a single enzyme, for example, only tells you how many sites are present for that enzyme.
		Doing restriction digests with more than one enzyme at a time can give clues as to where those restriction sites are in relation to each other.
	www.carolina.com /tips/99mar/tips399e.asp (405 words)

	Carolina Biological: Carolina Tips: How Scientists Manipulate DNA (page 1 of 2)
		Other restriction enzymes make cuts that are not directly across from each other on the DNA molecule (see PstI), leaving single stranded "tails" on the new ends.
		Restriction enzymes are proteins produced by bacteria to prevent or restrict invasion by foreign DNA.
		Before restriction enzymes were discovered, scientists could not tell where on the chromosome a specific gene was located.
	www.carolina.com /tips/98aug/tips898a.asp (711 words)

	Mathematics (Site not responding. Last check: 2007-11-02)
		Types of scales; frequency distribution, mean, mode, median and measures of dispersion; elements of probability theory, probability distributions, non-parametric tests; normal, t, F and chi-square distributions; means and variance tests; analysis of variance, correlation and regression, applications and use of a computer package.
		Emphasis on analytical understanding of mathematical problems from the past, with reference to the stories and times behind the people who solved them.
		Basic probability theory, probability distributions, mathematical expectation, moments, generating functions, functions of random variables, central limit theorems, special probability distributions, sampling distributions, theory of estimation and its applications, theory of hypothesis testing and its applications, regression and correlations, analysis of variance, nonparametric methods.
	www.cosc.brocku.ca /NewStudents/calend_math.html (1749 words)

	[No title]
		This is a theoretical course intended primarily for students who need or expect to pursue further studies in mathematics and its applications.
		Topics to be included are: inequalities and absolute values; limits and continuity using rigorous definitions; the derivative and various applications, Rolle's theorem and the mean-value theorem for derivatives; the differential and antidifferentiation; the definite integral and various applications, the mean-value theorem for integrals, the fundamental theorem of calculus; logarithmic, exponential and elementary trigonometric functions.
		Study of selected topics in applied mathematics at an advanced level, intended mainly for mathematical science students in the 7th or 8th semester.
	www.uoguelph.ca /calendar_archives/undergrad/October2001/12math.shtml (1202 words)

	overfaqsp (Site not responding. Last check: 2007-11-02)
		Can I request a different mathematics section that is offered at the same time as the section of the same course that I am already registered for?
		I have already submitted an overload request for a mathematics section at a particular time, but I want to change the time.
		You are allowed to take only ONE of these mathematics courses per semester: 1113, 1501, 1502, 1512, 1522, 1711, 1712, 2401, 2403, 2411, 2413, 2602, and 2605.
	www.math.gatech.edu /overloads/overfaqsu.html (2086 words)

	Mathematics - 2006-2007 University of Guelph Undergraduate Calendar
		This is a theoretical course intended primarily for students who expect to pursue further studies in mathematics and its applications.
		Intended mainly for mathematics students in the 6th to 8th semester.
		A study of selected advanced topics in mathematical modeling, to include model formulation, techniques of model analysis and interpretation of results.
	www.uoguelph.ca /undergrad_calendar/c12/c12math.shtml (1188 words)

	[No title] (Site not responding. Last check: 2007-11-02)
		This course stresses the role of contemporary mathematical thinking and the connection between mathematics and our daily lives.
		Topics include the mathematics of the census; planning and scheduling; coding theory; game theory; symmetry and patterns; logic and modeling; and political flavor topics.
		Mathematical discovery and invention in group theory: transformations, finite figures, strip patterns, wallpatterns, finite groups, and Cayley diagrams.
	www.math.mtu.edu /firstyear/mathcourses.html (520 words)

	MSCS: Planning a Degree in Mathematics
		The BSc and BA in Mathematics are three-year qualifications.
		MATH 206 and MATH 207 are the core Mathematics courses.
		Of course, having passed MATH 103, you are free for example to enrol in MATH 113, since MATH 113 is not restricted against MATH 103.
	www.mcs.vuw.ac.nz /courses/ugrad-course-planning-math (916 words)

	UCSD Mathematics : Undergraduate Program
		Math 195, 196, 197, 198, and 199 are not acceptable courses for the mathematics minor.
		A grade of C- or better (or P if the Pass/No Pass option is used) is required for all courses used to satisfy the requirements for a minor.
		There is no restriction on the number of classes taken with the P/NP option.
	math.ucsd.edu /~www/programs/undergraduate/math_minor.php (170 words)

	Departmental Scholars
		The highest mathematics average was 4.0 and was attained by one scholar.
		There are a large number of mathematics majors deserving to be recognized as Departmental Scholars who are not so recognized because of the 5% restriction.
		In general, the Mathematics Departmental Scholars are chosen among the graduating senior mathematics majors.
	www.potsdam.edu /content_text.php?contentID=2B338FFFF0FBDBE25A5D3423142E858E (273 words)

	Reflections Vol 21 no 1 Paul Larkin
		Figure 3 shows the types of problems that occur with restriction and the general approach used to solve each type.
		Restriction - boys and girls alternate: B G B G B G B, that is, 1 pattern.
		Restriction - 2 adults at either end of line: A - - - A. Arr.
	www.mansw.nsw.edu.au /members/reflections/vol21no1_larkin.htm (1271 words)

	undergraduate courses: Math Dept, The University of Louisiana at Lafayette
		Number sense, natural connections among the big ideas in mathematics, patterns and problem solving, and the use of numbers in familiar, real situations.
		Development of mathematical models arising in various areas of application in the physical, biological, and social sciences.
		Not to be applied toward a degree in mathematics.
	www.louisiana.edu /Academic/Sciences/MATH/ucourses.html (1350 words)

	[No title]
		Restriction theorem for manifolds of codimension two or higher Harmonic Analysis and its applications, Palermo, (Italy), May 1994.
		Department of Mathematics, University of Padova, (Italy), December 1993.
		Professional service Referee for the Journal of Mathematical Analysis and Application, the Bulletin of the American Mathematical Society and the Journal of functional Analysis Reviewer for the American Mathematical Society Organizer of the “Italian Harmonic Analysis meeting”, Sorrento, (NA), (Italy), June 2002 Co-organizer of the AMS special section in Harmonic Analysis, Tallahassee (FL), March 2004.
	www.fiu.edu /~decarlil/Vita.doc (1180 words)

	MATH Course Descriptions
		Emphasizes the evolution of mathematical thought examined in a cultural and historical framework.
		Mathematics is developed in the context of its impact on the development of science and the interaction of mathematics with other fields of human endeavor such as philosophy, arts, and social values.
		Discussion focuses on issues of equity, diversity, and social justice in the context of mathematics and mathematics learning.
	csumb.edu /academic/catalog/courses/courses.php?subj=MATH (2276 words)

	INVERSE FUNCTIONS WITH NO DOMAIN RESTRICTIONS
		Recall that a function is a rule that links an element in the domain to just one number in the range.
		Therefore, the domain of the original function must be restricted so that the inverse will be unique.
		Another example of finding the inverse of a function where the domain of the original function does not need to be restricted.
	www.sosmath.com /algebra/invfunc/fnc2.html (388 words)

	Dieter Kratsch - University of Metz
		A. Brandstädt, D. Kratsch, On the restriction of some NP--complete graph problems to permutation graphs, Proceedings of FCT'85, L.
		Diploma Thesis, ``Über Einschränkungen einiger NP-vollständiger Graphenprobleme auf Permutationsgraphen'' (On the restriction of some NP-complete problems to permutation graphs), Jena, Germany, 1985.
		Dissertation Thesis, ``Über die Einschränkung NP-vollständiger Graphenprobleme auf Teilklassen chordaler Graphen'' (On the restriction of NP-complete graph problems to subclasses of chordal graphs), Jena.
	lita.sciences.univ-metz.fr /~kratsch/miscellaneous/cv.html (2116 words)

	Sandee Spiroff
		Ph.D. in Mathematics, University of Illinois, Urbana-Champaign; GPA 3.8/4.0
		B.S. in Mathematics and Secondary Certification-Indiana University, Bloomington,IN; GPA 3.8/4.0
		"Restriction of Divisor Classes to Hypersurfaces in Characteristic p", with Phillip Griffith, J. Algebra, 275 (2004) 801-814.
	www.math.utah.edu /~spiroff/Resume.html (156 words)

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