
	Where results make sense

Topic: Mathematical point

	Point charge - Wikipedia, the free encyclopedia
		A point charge is an electric charge at a mathematical point with no dimensions.
		The electric field associated with a classical point charge increases to infinity as the distance to the point charge approaches zero.
		Earnshaw's theorem states that a collection of point charges cannot be maintained in an equilibrium configuration solely by the electrostatic interaction of the charges.
	en.wikipedia.org /wiki/Point_charge (163 words)

	Mathematical notation - Wikipedia, the free encyclopedia
		Mathematical notation is used in mathematics, and throughout the physical sciences, engineering, and economics.
		Early mathematical ideas for counting were represented by collections of rocks, sticks, bone, clay, stone, wood carvings, and knotted ropes.
		The wide use of programming languages, which teach their users the need for rigor in the statement of a mathematical expression (or else the compiler will not accept the formula) are all contributing toward a more mathematical viewpoint across all walks of life.
	en.wikipedia.org /wiki/Mathematical_notation (939 words)

	A redefinition of the derivative
		The assumption that the point on the curve may be treated as a point in space is not correct, and the application of any infinite series to a curve is thereby an impossibility.
		A mathematical point represents a physical point, but it is not equivalent to a physical point since the operation of diagramming creates fields that are not directly transmutable into physical fields.
		In refining the concepts of number and point, he did not see that both the Greeks and the moderns were in possession of two separate concepts of the point: the point in space and the point in diagrammatica.
	geocities.com /mileswmathis/are.html (14271 words)

	The Mathematical Realm of Nature
		The new analysis pointed mathematics away from physical ontology by shifting attention from objects and their properties to the structure of combinatorial relations among objects, some of which existed only by virtue of the relations, namely as ideal objects needed to complete the structure.
		In both cases the representation was meant to be analytic in the sense that the properties of the mathematical object match those of the phenomenon being represented and that the deductive relationships among the mathematical properties correspond in some way to the causal relationships among the physical properties.
		Nature was mathematized in the seventeenth century by means of its extensive mechanization, which by the end of the century extended, at least programmatically, to the living world of plants and animals.
	www.princeton.edu /~mike/articles/mathnat/mathnat.htm (16417 words)

	sciforums.com - Pi Questions
		If one were to define this point in terms of its distance from the circumference it would never reduce to a point.
		Mathematically it is impossible to fully define a perfect sphere by reference to a point at its centre.
		If, for instance, we had a 2-D discrete space that was the set of all points at the corners of adjacent equilateral congruent triangles, then a circle would be a regular hexagon with circumference equal to six times the radius.
	www.sciforums.com /showthread.php?t=28058 (3105 words)

	20th WCP: Super-Induction Method: Logical Acupuncture of Mathematical Infinity
		All these mathematical discoveries themselves, and especially the process iteslf of their obtaining are very non-trivial, and represent a fruitful ground for philosophical and psychological investigations.
		The EA-Theorems prove mathematically, i.e., by a rigorously deductive way, that famous Aristotel's modus ponens rule is valid when a statement A is a single statement, but its consequence B is a common one.
		The mathematics itself is not the aim of this paper, therefore I shall not specify these terms (see [2, 8-10]), which further will be used only in historical and heuristical aspects.
	www.bu.edu /wcp/Papers/Logi/LogiZenk.htm (3982 words)

	Quantum Mechanics and Idealism by Miles Williams Mathis
		A mathematical point represents a physical point, but it is not that point itself.
		You cannot accept mathematics to get you from point A to point B, and then ignore that same mathematics to get you from point B to point C. That is what Heisenberg has done, and that is what Quantum Mechanics has done.
		Just as a mathematical term or variable is at least one level of abstraction away from the reality it represents, any idea must be at least one level of abstraction away from the thing it represents.
	geocities.com /mileswmathis/quant.html (7153 words)

	Geometric images of simple and complex chemical objects...
		The notions free chemical point, bonded chemical point and chemical graph cover the whole variety of chemical objects and are sufficient for geometric representation of arbitrary sets of chemical objects.
		The conceptual and mathematical formalism developed in the framework of the project "Geometrization of the fundamentals of chemistry" is totally accorded with both the conceptions of stereochemistry and the use of the graph theory for representing chemical objects and processes in contemporary theoretical chemistry.
		In addition, we have formulated mathematically, analized and proved a lot of chemical statements of various logical ranks (definitions, axioms, theorems, corollaries, etc.), which form a substantial part of the future deductive and axiomatic formulations of chemistry.
	www.acadjournal.com /2004/v11/part2/p6 (3522 words)

	Mathematical Chronology
		Mathematics becomes a compulsory subject for a degree at the University of Paris.
		He proves mathematically that it is impossible to design a walk which crosses each of the seven bridges exactly once.
		Buffon uses a mathematical and scientific approach to calculate that the age of the Earth is about 75000 years.
	www-groups.dcs.st-and.ac.uk /~history/Chronology/full.html (6672 words)

	Geometrization of the language of chemistry: Mathematical representation of the complex chemical objects
		Spatial mathematical models of the sets of different species of atoms and the Periodic table as well as different species of monatomic ions were briefly presented.
		As a result: (i) the problem of the geometrization of the language of chemistry was solved on a conceptual level; (ii) it was shown that it would be possible to translate the structure of chemical notions and relations in entirely mathematical language.
		From a mathematical point of view chemistry deals with the description and investigation of one exactly defined subset of the set of all functions - the subset of these unique discrete and noninvertible functions, which describes the possible chemical objects.
	www.acadjournal.com /2004/v11/part2/p3 (2317 words)

	Index of Dante Alighieri's La Divina Commedia's Mathematical Web-Pages
		mathematical matrix that he used to structure the 100 chapters of his book.
		Rearranging the raw data (amount of verses per chapter) in the 100 chapters another mathematical table is created to show this information in its several Sum-Digit Categories.
		THE UNIVERSAL MATHEMATICAL MATRIX is the paradigmatic priniciple in which Dante worked from to create his mathematical system for the Divine Comedy.
	hometown.aol.com /genesisformulae/commedia_index.html (926 words)

	CL-1: Field-tested Learning Assessment Guide (FLAG): CATs: Mathematical Thinking (Site not responding. Last check: 2007-11-01)
		...the development of a mathematical point of view - valuing the process of mathematization and abstraction and having the predilection to apply them; and the development of competence with the tools of the trade, and using those tools in the service of the goal of understanding structure.
		The Math CATs are designed to address this challenge by offering ways to assess and instill a broad range of the mathematical thinking skills important for students of mathematics, science, and engineering.
		The Math CATs are designed to address this challenge by offering ways to assess and instill a broad range of the mathematical thinking skills important for students in the science, mathematics, engineering, and technology disciplines.
	www.wcer.wisc.edu /archive/cl1/flag/cat/math/math/math1.htm (427 words)

	Tamás Terlaky
		Vial: Interior Point Approach to Linear Optimization: Theory and Algorithms, John Wiley and Sons, New York, 1997 (second print 1998).
		From an interior point solution to an optimal basis and vice versa.
		An Interior Point Approach to Postoptimal and Parametric Analysis in Linear Programming (1992) (Joint work with B. Jansen and C. Roos) Proceeding of the Workshop "Interior Point Methods", January 5, 1993, Budapest, Hungary.
	www.cas.mcmaster.ca /~terlaky/htm/pub.html (5296 words)

	Interior-Point Archive
		"Interior point algorithms for linear complementarity problems based on large neighborhoods of the central path," Research Report No. 650, Dept of Mathematics, National University of Singapore, Singapore.
		Ming Gu "On Primal-Dual Interior Point Methods for Semidefinite Programming," CAM report 97-12, Department of Mathematics, University of California, Los Angeles, Calif., March, 1997.
		Department of Mathematics and Statistics, University of Maryland Baltimore County.
	www-unix.mcs.anl.gov /otc/InteriorPoint/archive.html (10643 words)

	Best Book Buys - Critical point theory (Mathematical analysis) Books (Site not responding. Last check: 2007-11-01)
		Subject Category > Mathematics > Mathematical Analysis > Critical point theory (Mathematical analysis)
		Introduction a La Theorie Des Points Critiques Et Applications Aux Problemes Elliptiques (French)
		Minimax Methods in Critical Point Theory With Applications to Differential Equations
	www.bestwebbuys.com /Mathematical_Analysis-N_10021009-books.html (126 words)

Try your search on: Qwika (all wikis)