
	Where results make sense

Topic: List of fundamental theorems

Related Topics

List of theorems

List of mathematical theorems

List of mathematical proofs

Theorem

Fundamental theorem of algebra

Fundamental theorem of vector analysis

Fundamental theorem of linear algebra

Fundamental theorem of arithmetic

Pythagorean theorem

List of geometry topics

Theory of equations

Johann Radon

Mathematical finance

Linear algebra

Euclidean geometry

In the News (Wed 25 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	PlanetMath: fundamental theorems in complex analysis
		The following is a list of fundamental theorems in the subject of complex analysis (single complex variable).
		"fundamental theorems in complex analysis" is owned by rspuzio.
		This is version 13 of fundamental theorems in complex analysis, born on 2005-01-22, modified 2005-04-19.
	planetmath.org /encyclopedia/FundamentalTheoremsInComplexAnalysis.html (142 words)

	PlanetMath: fundamental theorems of calculus for Lebesgue integration
		Loosely, the Fundamental Theorems of Calculus serve to demonstrate that integration and differentiation are inverse processes.
		"fundamental theorems of calculus for Lebesgue integration" is owned by mathcam.
		This is version 13 of fundamental theorems of calculus for Lebesgue integration, born on 2002-02-24, modified 2004-03-03.
	planetmath.org /encyclopedia/FundamentalTheoremOfCalculus.html (105 words)

	Encyclopedia: Theorem (Site not responding. Last check: 2007-10-09)
		A theorem is a proposition that has been or is to be proved on the basis of explicit assumptions.
		A theorem generally has a set-up â“ a number of conditions, which may be listed in the theorem or described beforehand.
		The distinction between theorems and lemmas is rather arbitrary, since one mathematician's major result is another's minor claim.
	www.nationmaster.com /encyclopedia/Theorem (701 words)

	Search Results for theorem - Encyclopædia Britannica
		theorem in mathematical analysis dealing with a type of average useful for approximations and for establishing other theorems, such as the fundamental theorem of calculus.
		Theorem of equations proved by Carl Friedrich Gauss in 1799.
		The Pythagorean Theorem is used to calculate the relationship between the legs and angles of a triangle.
	www.britannica.com /search?query=theorem&submit=Find&source=MWTAB (507 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		In this example, the multistage approach needs a list of persons in a few dwellings, a list of dwellings in a few blocks, a list of blocks in a few counties, a list of counties in a few states, and a list of states.
		Both lists are hypothetical and counterfactual: It is impossible for both lists even to exist, because every student would have had to take the preparatory course and not to take the preparatory course.
		The fundamental unit of sampling is called the sampling unit, which can be an individual unit of the frame or a cluster of units.
	www.stat.berkeley.edu /users/stark/SticiGui/Text/ch16.htm (6891 words)

	GODEL'S THEOREMS AND TRUTH
		Godel's theorem means that the universe cannot be a vast self-contained computer.
		One modern scientist, Fredekin, suggests that it is.(6) The fundamental particles of nature (in his view) are information bits in that huge machine.
		Were he right that the universe is effectively a computer, then Godel's theorems would require that nature, as a whole be understood only outside nature because no finite system is sufficient for itself.
	www.evanwiggs.com /articles/GODEL.html (3094 words)

	Gödel's Incompleteness Theorem
		This theorem is one of the most important proven in the twentieth century.
		Gödel's Theorem has been used to argue that a computer can never be as smart as a human being because the extent of its knowledge is limited by a fixed set of axioms, whereas people can discover unexpected truths...
		All the limitative theorems of mathematics and the theory of computation suggest that once the ability to represent your own structure has reached a certain critical point, that is the kiss of death: it guarantees that you can never represent yourself totally.
	www.miskatonic.org /godel.html (1160 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Theorem 1: Let K be a finite Kripke structure for propositional intuitionistic logic, then two worlds in K are bisimilar if and only if they satisfy the same set of formulas.
		Theorem 2: Two finite Kripke structures K and K' are bisimilar if and only if they have the same set of valid formulas.
		In the setting of flat iteration on the other hand, the completeness theorems for delay and weak (but not eta-) congruence can equally well be obtained by reduction to the one for strong congruence, without using branching congruence as an intermediate step.
	boole.stanford.edu /pub/ABSTRACTS (6385 words)

	Dictionary of Philosophy
		]] is a theorem of the propositional calculus.
		Likewise, every theorem A of the pure propositional calculus has a corresponding theorem B = ∨ of the algebra of classes, where B is obtained from A by replacing negation, inclusive disjunction, and conjunction respectively by complementation, logical sum, and logical product, and replacing propositional variables by class variables.
		Fundamental ideas involved are those of the universal relation and the null relation; the relations of identity and diversity; the contrary and the converse of a relation; the logical sum, the logical product, the relative sum, and the relative product of two relations.
	www.ditext.com /runes/l.html (16777 words)

	List of theorems (Site not responding. Last check: 2007-10-09)
		This is one of the most famous theorems of probability and statistics...
		In some fields, theorem can be considered as a courtesy title, given to major results, although with a content that would not satisfy a mathematician.
		No attempt is made here to comment on that aspect of usage: this is a list of results known as theorems.
	hallencyclopedia.com /List_of_theorems (549 words)

	What is a Number?
		The concept of number - we mean here the whole numbers like natural numbers - is the most basic and fundamental in the world of science and mathematics.
		An instance of the former is the set comprised of Bob, Mary, and Marg; the set is exhibited by providing a list of its elements inside two curly brackets thus: {Bob,Mary,Marg}.
		The order in which the elements are listed inside the brackets is not relevant.
	www.mathpath.org /concepts/number.htm (742 words)

	Calculus Theorems (Site not responding. Last check: 2007-10-09)
		Once you understand Limits and the definition of "Continuous Function", then you are ready to study five theorems that lead up to the Fundamental Theorem of Calculus.
		Intermediate Value Theorem -- if k is between f(a) and f(b), then there exists a c in [a,b] such that f(c)=k.
		Fundamental Theorem of Calculus -- if f is the derivative of F, then the integral from a to b of f(x)dx is F(b)-F(a)
	mcraeclan.com /MathHelp/CalculusTheorem.htm (264 words)

	Mathematics (Site not responding. Last check: 2007-10-09)
		An alphabetical and subclassified list of mathematical topics is available.
		These are theorems that have changed the face of mathematics throughout history.
		Riemann hypothesis -- Continuum hypothesis -- P=NP -- Pythagorean theorem -- Central limit theorem -- Fundamental theorem of calculus -- Fundamental theorem of algebra -- Fundamental theorem of arithmetic --Fundamental theorem of projective geometry -- classification theorems of surfaces -- Gauss-Bonnet theorem
	www.brainyencyclopedia.com /encyclopedia/m/ma/mathematics.html (2206 words)

	Peter H. Handel -- Research (Site not responding. Last check: 2007-10-09)
		The quantum l/f noise effects are of fundamental nature because they assert that the elementary cross sections and process rates of physics, engineering, or chemistry and biology must fluctuate with a l/f spectral density.
		This fundamental law of nature was discovered in 1974-75, emerging from my attempts to quantize my turbulence theory in order to explain 1/f noise in the absence of any turbulence-generating instabilities.
		A new magneto-hydrodynamic homogeneous, isotropic, turbulence theory was also developed by me for the plasma of electrons and holes in a semiconductor, as well as for a metal, yielding the first rigorously derived universal classical-physical 1/f spectrum, and the classical analog of my present quantum 1/f effect theory.
	www.umsl.edu /~handel/research.htm (1066 words)

	7.6 - Counting Principles
		Fundamental theorems are important foundations for the rest of the material to follow.
		A listing of all the possible outcomes is called the sample space and is denoted by the capital letter S. The sample space for the experiments of flipping a coin and rolling a die are S = { H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}.
		The fundamental counting principle allows us to figure out that there are twelve ways without having to list them all out.
	www.richland.edu /james/lecture/m116/sequences/counting.html (1448 words)

	The Largest Known Primes
		The Fundamental Theorem of Arithmetic shows that the primes are the building blocks of the positive integers: every positive integer is a product of prime numbers in one and only one way, except for the order of the factors.
		The complete list of approximately 6,000 primes is available in several forms; but first we offer a quote and a few records for your perusal.
		all of the known primorial, factorial and multifactorial primes on the list of the largest known primes.
	primes.utm.edu /largest.html (1149 words)

	[No title]
		The fundamental result about prime factorization is also the source of one of the most difficult problems in mathematics.
		Fermat's Last Theorem was finally settled by exploiting the connections between elliptic curves and modular forms.
		Even though Fermat's Last Theorem is without consequence, attempts to solve it have led to the development of important mathematics.
	www.math.columbia.edu /~rama/chapters/chap1.html (1200 words)

	User: Bevo - Open Encyclopedia (Site not responding. Last check: 2007-10-09)
		811113: List of fixes included in Windows XP Service Pack 2.
		Q293356: Windows XP: List of scanners that are supported by Windows Image Acquisition.
		I'll add it to my "to do" list, but someone else will probably do it before I find time to do it.
	users.open-encyclopedia.com /Bevo (1143 words)

	Fermat
		Even with his results on free fall he was much more interested in proving geometrical theorems than in their relation to the real world.
		This first letter did however contain two problems on maxima which Fermat asked Mersenne to pass on to the Paris mathematicians and this was to be the typical style of Fermat's letters, he would challenge others to find results which he had already obtained.
		Unsuccessful attempts to prove the theorem over a 300 year period led to the discovery of commutative ring theory and a wealth of other mathematical discoveries.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Fermat.html (2374 words)

	List of theorems -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		In some fields, theorem can be considered as a (additional info and facts about courtesy title) courtesy title, given to major results, although with a content that would not satisfy a mathematician.
		Most of the results do come from mathematics, but there are others from (additional info and facts about theoretical physics) theoretical physics, (The branch of social science that deals with the production and distribution and consumption of goods and services and their management) economics and so on.
		(additional info and facts about Banach fixed point theorem) Banach fixed point theorem ((A set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality) metric spaces, (An equation containing differentials of a function) differential equations)
	www.absoluteastronomy.com /encyclopedia/l/li/list_of_theorems.htm (4823 words)

	Mathematical Programming Glossary - D (Site not responding. Last check: 2007-10-09)
		An equilibrium basis is compatible with the change (db, dc) if, and only if, it is compatible with both (db, 0) and (0, dc).
		For example, if a bisection method is used (as in searching a sorted list), the divide and conquer recurrence is T(n) = T(n/2) + 2 for n=2,4,6,8,...
		These establish the fundamental duality relations (weak or strong).
	carbon.cudenver.edu /~hgreenbe/glossary/D.html (2386 words)

	Legacy: Career Connection to Teaching with Technology (CCTT) (Site not responding. Last check: 2007-10-09)
		The fundamental theorem of calculus is one of three fundamental theorems in mathematics: of arithmetic, of algebra, and of calculus.
		Calculus is an intellectual creation which students can better appreciate when they understand the background of this theorem as well as know how to apply it.This unit endeavors to provide sufficient background knowledge to empower students to be both users of the application and adventurers in the development of new ideas.
		Students should be able to apply the fundamental theorem of calculus and to explain its historical development.
	www.cctt.org /cctt/units/view.asp?UID=2 (449 words)

	list
		A fundamental homological result for modules of finite projective dimension is the Auslander-Buchsbaum Equality; we establish an analog to it for modules of finite CI-dimension.
		Our construction is entirely different than Hartshorne's: if Q is either a polynomial ring or an exterior algebra, we prove that every two strongly stable ideals in Q with the same Hilbert function are connected by a sequence of binomial gröbner deformations.
		Clements-Lindstrom's Theorem shows that the same property holds over a quotient of S modulo powers of the variables.
	www.math.cornell.edu /~irena/list.html (2551 words)

	Lviv - Lvov - Lwow - Lemberg. Famous people - biographies, links, photos.
		Any list of such people is certain to be incomplete, but let's try..
		There is a list of more than 80 titles at amazon.com Click on this link to browse them.
		He was leading a team which constructed a 600-horsepower plane for the Austro-Hungarian army in 1915, joined the army and piloted that aircraft (in WWI).
	www.lvov.us /famous-people (2463 words)

	MA113
		Material: This summer we will learn about derivatives, integrals and the fundamental theorems of calculus, which give the connections between integrals and derivatives.
		We will begin by introducing the notion of a limit, which is essential to defining derivatives and integrals.
		If you have an excused absence, please inform me. A list of all excused absences will be collected during the semester.
	www.ms.uky.edu /~elliott/ma113_syll.htm (681 words)

	Theory of Computing Group (Site not responding. Last check: 2007-10-09)
		Topics range from fundamental theorems and tools to current research.
		Information about upcoming meetings will be posted to this web-page in addition to being mailed to the theory-reading mailing list.
		To join the list, go to theory-reading list and follow the instructions.
	www.cs.wisc.edu /areas/theory/reading.html (234 words)

	Pythagorean Theorem and its many proofs
		The theorem is of fundamental importance in the Euclidean Geometry where it serves as a basis for the definition of distance between two points.
		The statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B.C. Whether Pythagoras (c.560-c.480 B.C.) or someone else from his School was the first to discover its proof can't be claimed with any degree of credibility.
		It generalizes the Pythagorean Theorem in two ways: the triangle ABC is not required to be right-angled and the shapes built on its sides are arbitrary parallelograms instead of squares.
	www.cut-the-knot.org /pythagoras/index.shtml (6005 words)

	Ten Lessons I wish I Had Been Taught
		Again, Hilbert's Zahlbericht, a fundamental contribution that revolutionized the field of number theory, was originally a survey that Hilbert was commissioned to write for publication in the Bulletin ofthe German Mathematical Society.
		But on reading the proofs of Hilbert's striking and deep theorems in invariant theory, it was surprising to verify that Hilbert's proofs relied on the same few tricks.
		When the Germans were planning to publish Hilbert's collected papers and to present him with a set on the occasion of one of his later birthdays, they realized that they could not publish the papers in their original versions because they were full of errors, some of them quite serious.
	wow.eecs.berkeley.edu /~rjain/rota_lessons.htm (2701 words)

	Investars 2005: Research Profile for Market Profile Theorems (MPT)
		Fundamental research firms like Bank of America, quantitative firms like Callard, technical research firms like When2Trade and firms that use empirically tested analytical methods like Price Target Research all have different research styles.
		Select your target firm from the drop down list and get an independent look at the firm's background and strengths, plus a list of the firm's top analysts.
		Choose your desired performance benchmark from the drop-down list and then choose a time period.
	www.investars.com /synopsis.asp?analystid=658 (780 words)

Try your search on: Qwika (all wikis)