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Topic: Character (mathematics)

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	Mathematics (Site not responding. Last check: 2007-10-12)
		A character using this skill can perform any type of mathematical tasks ranging from the simplest (i.e.
		With this skill a character can easily compute the maximum velocity of an object in free fall, based on it's wind resistance, and distance of the fall, and arrive at the amount of damage one would take if one fell that distance.
		Characters without this skill are assumed to have minimal mathematical skills, and will often make computational errors when performing the simplest of tasks.
	www.robsworld.org /math.html (470 words)

	¥¶. The Nineteenth - Century Mathematics of Germany : Modern Mathematics
		The 19th century was the greatest, because of the release of geometry, the abstraction of algebra and the changing in to arithmetic of analysis.
		Famous is Gauss' assertion that "mathematics is the queen of the sciences, and the theory of numbers is the queen of mathematics."
		Believing that all of mathemat ics must be based by finite methods upon the whole numbers, he was a nine teenth-century Pythagorean.
	library.thinkquest.org /22584/temh1700.htm (1317 words)

	Jonathan's Corner: Why Study Mathematics?
		This character of mathematics that is captured in geometry is true to geometry, but the actual form that it takes is largely irrelevant.
		If mathematics is approached as memorizing incomprehensible formulas and hoping to have the good luck to guess the right formula at the right time, it will be a chore and a torture.
		Mathematics classes will most profitably be approached, not as "What is the formula I have to memorize," but with ideas such as those enumerated here.
	jonathanscorner.com /writing/math/math2.html (602 words)

	Principia Cybernetica and Principia Mathematica
		Similar to the integrating theories of mathematics at the end of the 19th century (Cantor's set theory, formal logic,...), the integrating theories of cybernetics at the end of the 20th century (general systems theory, second-order cybernetics,...) are not integrated themselves.
		Both mathematics and cybernetics are in the first place metadisciplines: they do not describe concrete objects or specific parts of the world; they describe abstract structures and processes that can be used to understand and model the world.
		Mathematics is characterized by the following assumptions: simplicity, regularity and invariance; the separability of systems into independent elements; and the objective, context-independent, value-free character of knowledge.
	pespmc1.vub.ac.be /PRMAT.html (929 words)

	Number: Its Origin and Evolution--John Zerzan
		Mathematical principles and their component numbers and figures seem to exemplify a timelessness which is possibly their deepest character.
		This form of mathematical philosophy, with the extremity of its search for harmony and order, may be seen as a deep fear of contradiction or chaos, an oblique acknowledgement of the massive and perhaps unstable repression underlying Greek society.
		But the Renaissance conviction that mathematics should be applicable to all the arts (not to mention such earlier and atypical forerunners as Roger Bacon's 13th century contribution toward a strictly mathematical optics), was a mild prelude to the magnitude of number's triumph in the seventeenth century.
	www.primitivism.com /number.htm (5844 words)

	The Integration of the Disciplines
		Mathematics deals in the transformation of symbols from one form into another, and is formally reducible to statements of the form "x=x." As such, mathematics has a formai structure which is independent of experience.
		The ultimate formal character of mathematics and science will be discussed first, followed by a discussion about their nature at the level of actual usage.
		Mathematics is a subject which is not concerned with experience and which cannot be studied bv means of pointer readings; science is concerned entirely with pointer readings and constructs which classify them.
	www.angelfire.com /planet/bigfiles40/IntegOfDiscpEdThryJuly1966.html (6797 words)

	Characters, Entities and Fonts
		The exact correspondence between a mathematical alphabetic character and an unstyled character is complicated by the fact that certain characters that were already present in Unicode are not in the `expected' sequence.
		As shown in the key for each table, the status of each character (for example in Unicode 3.0 or in the proposed additions) is indicated by a CSS class on the table cell (which by default is indicated by varying the background color).
		Most of these characters come from the proposed additions to Plane 1, however a few characters (such as the double-struck letters N, P, Z, Q, R, C, H representing common number sets) were already present in Unicode 3.0 and retain their original positions.
	www.w3.org /TR/2002/WD-MathML2-20021219/chapter6.xml (3701 words)

	chapter2.html
		Thus the pedagogical strategies are used with the intention of enhancing both mathematics and character education.
		But good character combined with the spiritual awareness that we are all related and that social justice and economic inequalities should be a part of math or English or sciences classes can make education become the process John Dewey, Herbert Kohl, Maxine Greene and many other contemporary educators believe it should be.
		Character education opportunities are more likely to arise when students really see the connections between things by integrating different academic subjects.
	www.teachingvirtues.net /chapter2.html (3581 words)

	R L Wilder's "Cultural Basis of Mathematics III"
		For the so-called "international character" of mathematics is due in large measure to the standardization of symbols that it has achieved, thereby stimulating diffusion.
		It would be interesting to study evidence in mathematics of styles and of cultural patterns; these would probably be interesting subjects of investigation for either the mathematician or the anthropologist, and could conceivably throw some light on the probable future course of the field.
		Like other culture traits, however, mathematics is not a thoroughly arbitrary construction of the individual mathematician, since the latter is restricted in his seemingly free creations by the state of mathematics and its directions of growth during his lifetime, it being the latter that determines what is considered "important" at the given time.
	www-history.mcs.st-andrews.ac.uk /Extras/Cultural_Basis_III.html (2976 words)

	Category Theory: The Language of Mathematics*
		Thus, we see in what sense mathematical structuralism, or more specifically the notion of description up to isomorphism, as a characterization of the relation between mathematics and the world can also be used to characterize the relation between category theory and the various branches of mathematics themselves.
		In the latter case, we appeal to the protean nature of mathematics to conclude that a category- theoretic presentation of mathematical structuralism captures both the subject matter and the method of mathematics.
		We say that category theory is the language of mathematical theories and their relations because it allows us to talk about their general structure in terms of "objects" and "functors", wherein such terms are likewise taken as "syntactic assemblages waiting for a structure of the appropriate sort to give them formulas meaning".
	www.math.mcgill.ca /rags/seminar/Landry.html (4212 words)

	The Meaning of Mathematics by H. Harold Hartzler JASA Volume 1 Number 1 January 1949
		Since mathematics has been called "the queen of the sciences" and also their handmaiden and since its essential character is so very poorly understood by many, it seems desirable to delve into the mysteries of this subject.
		If, as in the Kantian philosophy, mathematical entities are considered to exist in a realm of pure intuition, independent of definitions and of individual acts of the human mind, then of course there can be no contradictions, since mathematical facts are objectively true statements describing relations considered as real in the realm of pure intuition.
		They do not attribute an intuitive reality to mathematical objects, nor do they claim that axioms express obvious truths concerning the realities of pure intuition, their concern is only with the formal logical procedure of reasoning on the basis of postulates.
	www.asa3.org /ASA/PSCF/1949/JASA1-49Hartzler.html (3869 words)

	UTR #25: Unicode and Mathematics
		This report presents a discussion of the mathematics character repertoire of the Unicode Standard [Unicode] as used for mathematics, but it is intended that this discussion apply to mathematical notation in general.
		This resulted in the problem that the character explicitly identified as the mathematical symbol did not have the straight form of the character that is the preferred glyph for that use.
		Mathematical characters are often enhanced via use of combining marks in the ranges U+0300..U+036F and the combining marks for symbols in the range U+20D0..U+20FF.
	www.unicode.org /reports/tr25 (8989 words)

	Bits, Bytes, and Character Sets
		On a typewriter, the character set was limited by the number of typing keys: about forty-five keys, with the number of characters doubled by using the shift key.
		On a computer, with more keys on the board and more combining keys added to the lowly shift, the number of characters in a set is limited not by the keys but by mathematics.
		The ASCII set that's most commonly used has 128 characters (actually, several of the "characters" are invisible, for things like tabs and line breaks and spaces); the common ANSI set adds another 128 characters, mostly letters with diacriticals used in European languages, for a total of 256.
	www.nyu.edu /its/pubs/connect/archives/96fall/fredericksondensity.html (912 words)

	Wikinfo \| Character
		In general, a character is a distinctive significant mark or feature.
		In Catholicism, a supernatural mark made on a person's soul by some sacraments; see sacramental character.
		In mathematics, there are several meanings of the word character, all related to the idea of homomorphisms into the complex numbers.
	www.wikinfo.org /wiki.php?title=character (222 words)

	20th WCP: The Heuristic Function of the Axiomatic Method
		In their criticism, e.g., against closed axiomatic systems (Cellucci) or against the a priori character of mathematics (Gillies) they argue that mathematics is an empirical activity, using, among others, the trial and error method.
		Again mathematics is identified only with one branch of the scheme, the analytical branch, which is by no means methodologically restricted.
		But Hilbert was not an exclusive formalist, he proposed a mathesis universalis in the Descartes-Leibnizian sense according to which mathematics is the syntactical tool for a general philosophy of science, applicable to all scientific disciplines.
	www.bu.edu /wcp/Papers/Scie/SciePeck.htm (1249 words)

	Springer Online Reference Works
		The study of characters of groups reduces to the case of Abelian groups, since there is a natural isomorphism between the groups
		; the concept of a character of a representation of a group coincides in the one-dimensional case with the concept of a character of a group.
		Sometimes characters of a group are understood to mean characters of any of its finite-dimensional representations (and even to mean the representations themselves).
	eom.springer.de /c/c021560.htm (224 words)

	Springer Online Reference Works
		Character of a group) with values in an Abelian group
		Above, the phrase "character" is of course strictly used in its narrowest meaning of a (continuous) homomorphism
		The character groups of many locally Abelian groups can be found in [a1].
	eom.springer.de /c/c021530.htm (286 words)

	(Community Lecture) Toy Story: Character-Driven Mathematics (Site not responding. Last check: 2007-10-12)
		Form, surface appearance, motion, color and light were all created from mathematical models, wielded by traditional and technical artists.
		From relatively simple mathematical machinery, and appropriate data, the first ever "from scratch" film was created.
		Those mathematical tools, the uses to which they were put, and the way they were used in service to artistic goals, will be discussed.
	www.siam.org /meetings/archives/an96/sayre.htm (113 words)

	Mathematics Meets Film Animation In Kansas City Community Lecture
		And the technical director seated in that chair is using mathematical tools like functions and B-splines to simulate the lights, position the camera, and animate the characters.
		And what is more perfect than mathematics to represent an idea exactly?” About 90% of the Toy Story characters were built from scratch with graphics primitives like spheres and cylinders—“g-prims” in the jargon of Rosen and his colleagues.
		An alternative, Rosen explained, is to sculpt the character in clay, cover its surface with a grid, and scan the coordinates of the grid into a computer.
	www.siam.org /siamnews/general/animate.htm (1515 words)

	Mathematics Undergraduate (Day) (12/8/2006)
		The objective of the bachelor’s degree program in mathematics is to prepare students for professional careers in a variety of industries and for graduate programs leading to the M.S. and Ph.D. A creative imagination is required for success.
		The course is designed to involve students in an active way in the mathematical process by having them participate in the major activity of both pure and applied mathematics: the solving of problems.
		The course goals are: to gain first-hand experience of the daily activities of professionals in mathematics and related fields, to verify an interest in a particular area of mathematics, to develop and hone skills required for mathematical professions, to establish contacts outside the academic community who will facilitate a career in mathematics.
	macs.sju.edu /catalogs/mathcat.html (2564 words)

	Character (mathematics) - Wikipedia, the free encyclopedia
		This group is referred to as the character group.
		If A is an abelian algebra over the complex numbers, a character of A is an algebra homomorphism into the complex numbers.
		If in addition, A is a -algebra, then a character* is a *-homomorphism into the complex numbers.
	en.wikipedia.org /wiki/Character_(mathematics) (260 words)

	Are Foundations Necessary?
		There has been for most of this century a broad (if not unanimous) consensus among mathematicians that mathematics as a whole can and should be regarded as founded in first order set theory.
		Set theoretic foundations for mathematics are based on the premise that all mathematically interesting abstract entities should be coded up as sets.
		Mathematics studies structures up-to-isomorphism and the reductionism involved in the foundation of mathematics on set theory is contrary to the spirit of modern mathematics.
	www.rbjones.com /rbjpub/philos/maths/faq012.htm (453 words)

	Fields Medal Summary
		Fields stressed that the awards should be open to mathematicians from all countries and that the final decision on the awarding of the medals must be left to an international committee.
		Subsequent to the establishment of the Fields Medal, various branches and subdisciplines of mathematics, for example topological analysis, received a substantial boost from the awarding of Fields medals.
		The Fields Medal is often described as the "Nobel Prize of mathematics".
	www.bookrags.com /Fields_Medal (1804 words)

	Monroe Township Public Schools (Site not responding. Last check: 2007-10-12)
		Our current mathematics program promotes the use of manipulative, hands-on explorations, and problem solving using open-ended questions in all grade levels.
		Radix Elementary is also working with the New Jersey Center for Character Education to create a model Character Education program for all children.
		We are proud of our students’ ongoing scholastic achievement and the number of teachers who continue to improve their skills by attending graduate level courses, as well as professional seminars.
	www.monroetwp.k12.nj.us /snapshot/Radix.htm (897 words)

	Math 105, History of Mathematics
		We have many mathematical treatises from the later civilizations, but these are usually in a completed form which leave out the development of the concepts and the purposes for which the mathematics was developed.
		The prerequisite for this course is an intense interest in mathematics.
		study the mathematics of various different civilizations, their conception and use of mathematics, and how the historical conditions of those civilizations affected and were affected by mathematics
	aleph0.clarku.edu /~djoyce/ma105 (711 words)

	Character - Wikipedia, the free encyclopedia
		Sacramental character, a supernatural mark made on a person's soul by any of three sacraments of the seven, according to Roman Catholic dogma
		Character structure, in psychology, a constellation of enduring motivational and other traits that are manifested in the ways that an individual reacts to various challenges
		This disambiguation page lists articles associated with the same title.
	en.wikipedia.org /wiki/Character (131 words)

	Electronic Resources - Mathematics Teacher Cumulative Subject Index: 1986-2000
		Mathematical Thought from Ancient to Modern Times, Vol.
		The Mathematical Tourist: Snapshots of Modern Mathematics, Oct 1990, 575
		Mathematics in the Age of Jane Austen: Essential Skills of 1800.
	my.nctm.org /eresources/MT/index/subjects/history.asp (1294 words)

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