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Topic: List of conjectures

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Unsolved problems in mathematics

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	List of Lists
		List of Ceremonial counties of England by Population
		List of Chancellors of the University of Cambridge
		List of Chancellors of the University of Mississippi
	www.starrepublic.org /encyclopedia/wikipedia/l/li/listoflists.html (2023 words)

	Creating a Full Mathematical Experience in the Classroom
		Conjecture: The CSR for a regular hexagon is a smaller regular hexagon that has been rotated 30 degrees with respect to the original hexagon.
		Conjecture: The sides of the CSR for a 4n-gon are parallel to the sides of the 4n-gon.
		Conjecture: The length of the apothem (the segment measuring the distance from the center to a side) of the CSR for any regular n-gon is half the length of the side of the n-gon.
	www.csuchico.edu /math/jberglund/icamr.html (3262 words)

	list of theorems - Article and Reference from OnPedia.com
		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.
		Most of the results do come from mathematics, but there are others from theoretical physics, economics and so on.
	www.onpedia.com /encyclopedia/list-of-theorems (172 words)

	[No title]
		In the case of fullerenes, it was conjecture 840 and the resulting characterization and representation of buckminsterfullerene, [C60].
		They are again listed in order in which they were placed in the mute database and the first ten had numbers from 1 through 20; as rule the flow of conjectures considerably slows down, as it was intended with Dalmatian version.
		Conjectures are listed in order in which they were made by program and the top half of tree dat contained about twice as many conjectures with C-patterns as bottom part.
	www.math.uh.edu /~siemion/pony.html (6610 words)

	List of conjectures - Wikipedia, the free encyclopedia
		Erdős conjecture, which lists conjectures of Paul Erdős and his collaborators
		Blattner's conjecture (now often known as the Blattner formula)
		Epsilon conjecture (an intermediate on the way to Fermat's last theorem)
	en.wikipedia.org /wiki/List_of_conjectures (130 words)

	Encyclopedia :: Theorem (Site not responding. Last check: 2007-10-22)
		A theorem generally has a set-up – a number of conditions, which may be listed in the theorem or described beforehand.
		A mathematical statement which is believed to be true but has not been proven is known as a conjecture.
		mathematics for a list of famous theorems and conjectures.
	www.hallencyclopedia.com /Theorem (1264 words)

	YourArt.com >> Encyclopedia >> mathematics (Site not responding. Last check: 2007-10-22)
		Intuition and experimentation also play a role in the formulation of conjectures in both mathematics and the (other) sciences.
		An alphabetical and subclassified list of mathematics articles is available.
		For a fuller treatment, see areas of mathematics or the list of mathematics lists.
	www.yourart.com /research/encyclopedia.cgi?subject=/mathematics (3284 words)

	Conjectures in Geometry
		Midsegment Conjectures: Lengths of midsegments for triangles and trapezoids.
		Congruent Chord Conjectures: Congruent chords intercept congruent arcs.
		Tangents to Circles Conjectures: A tangent to a circle is perpendicular to the radius.
	www.geom.uiuc.edu /~dwiggins/mainpage.html (788 words)

	Bryn Mawr Classical Review 2002.09.26
		To my eye, the lists of readings used to establish affiliations do not inspire total confidence, since they sometimes use agreements in archetypal readings or readings so widespread in the later tradition that their appearance in two separate editions means little or nothing.
		The third part (277-361) uses the preceding study of the incunabula as a basis for studying Beroaldus' work as an editor and emender of Propertius, and this is the section of greatest interest for those studying the history of classical scholarship.
		The same difficulty applies to the list of alleged conjectures of Avantius in the 1500 edition (287); many are unmetrical, many are simply senseless, and these cannot be regarded as conjectures of a competent scholar.
	ccat.sas.upenn.edu /bmcr/2002/2002-09-26.html (1308 words)

	DIMACS Working Group on Computer-Generated Conjectures from Graph Theoretic and Chemical Databases I
		In short, the Red Burton style dictates that a smallest counterexample is found for false conjectures, and that in the case of true statements, a complete characterization is given of the graphs for which equality holds.
		One of the first conjectures of the program seem to indicate that the boiling point of single-bonded acyclic hydrocarbons is closely related to the sum of the positive eigenvalues of their graph.
		One of the most recent conjectures of the program suggests a new, possibly better predictor of stability of molecules, which should be valid at least for the fullerenes.
	dimacs.rutgers.edu /SpecialYears/2001_Data/Conjectures/abstracts.html (2375 words)

	[No title] (Site not responding. Last check: 2007-10-22)
		A list coloring of G is a proper coloring of the vertices of G such that the color for each vertex v is chosen from its list L(v).
		A graph is k-choosable if it has a list coloring for every assignment of k-element lists to the vertices.
		The list chromatic number of a graph is the minimum k such that the graph is k-choosable.
	www.cs.uiowa.edu /~sriram/arg/jeevanAbstract.html (121 words)

	mathematics - Article and Reference from OnPedia.com
		An alphabetical and subclassified list of mathematical topics is available.
		See list of theorems, list of conjectures for more These are theorems and conjectures that have changed the face of mathematics throughout history.
		On the other hand, experiment plays a large role in the formulation of reasonable conjectures, and therefore is not by any means excluded from use by research mathematicians.
	www.onpedia.com /encyclopedia/mathematics (2210 words)

	Mathematics - Simple English Wikipedia
		Pythagorean theorem – Fermat's last theorem – Goldbach's conjecture – Twin Prime Conjecture – Gödel's incompleteness theorems – Poincaré conjecture – Cantor's diagonal argument – Four color theorem – Zorn's lemma – Euler's identity – Church-Turing thesis
		See list of theorems, list of conjectures for more
		These are theorems and conjectures that have changed the face of mathematics throughout history.
	simple.wikipedia.org /wiki/Mathematics (807 words)

	Conjecture Pollution: poison schooling practice
		And clearly, by punishing the plagiarists with detentions, the dean had determined they had done something wrong not mitigated by any considerations of ignorance on the part of the students due to any putative vagueness with the concept of plagiarism in practice at the high school.
		This conjecture, a whiff of a theory, was concocted to rationalize special parental paranoia: imagined future career damages to their children on the basis of uncontested claims of school policy vagueness.
		Undisciplined conjecture, expanded through leaps of logic and magnified by fear or fervent hope generates the bulk of topics of discussion not only in Education, but also in the world at large.
	www.newfoundations.com /EGR/Conjecture.html (1661 words)

	Untitled Document (Site not responding. Last check: 2007-10-22)
		Introduction and instructions: In this report, you will create a list of axioms that will be used to justify the procedure your group developed for computing the area of a polygonal figure.
		These signatures will be taken to mean that each group member had a good understanding of each answer and could present it with some assistance from the group.
		List any conjectures as to the theorems that you used; you do not need to offer proofs of your conjectures at this point.
	www.math.ohiou.edu /~connor/prrep2.htm (405 words)

	Unsolved Problems
		Julio Subocz notes that this is also called Berge's conjecure or the Berge-Sauer conjecture and, in a conference in Lisboa (November 1995), Y. Hamidoune cited a proof (approximately 65 pages) by Taskinov of the conjecture.
		It is conjectured (by many people, most recently probably by Nati Linial in his talk at the last ICM) that the gap is at mostlog(n), i.e.
		Goodey has verified this conjecture for plane graphs whose faces are all of degee four or six.
	www.math.fau.edu /locke/Unsolved.htm (2911 words)

	Ermelinda DeLaVina Research Interests
		A list of conjectures of Graffiti, Written on the Wall, maintained by Fajtlowicz and made available on the web by Craig Larson.
		In addition to co-authoring the new versions and resolving many conjectures, I have resumed extending the list of conjectures Written on the Wall II generated by Graffiti (conjectures 1-8) and now also Graffiti.pc (conjectures 9 and on.)
		She maintained a chronology of conjectures and their resolutions, and presented a poster at Combinatexas 2001).
	cms.dt.uh.edu /faculty/delavinae/research/research.htm (380 words)

	Graffiti & Automated Mathematical Conjecture-Making
		Ashes and Diamonds is a list of conjectures discussed in Fajtlowicz's Fall 2003 "Knowledge Based Algorithms" course.
		Ashes and Diamonds 2 is a list of conjectures from Summer 2004.
		In the Summer of 2001, another of her undergraduate students Kelly Wroblewski conducted a similar project and presented the results of the project in the poster session of the CST Student Research Conference in November 2001.
	www.math.uh.edu /~clarson/graffiti.html (1131 words)

	[No title]
		In this section I will present a list of conjectures, the exploration of which I believe to be important for the development of the "complex systems and hypercomplex fractals" research programme.
		All of these conjectures basically get at the same point: the crucial thing to study is the nature of the multiple mappings by which systems give rise to algebras, algebras give rise to Julia sets, and Julia sets describe systems.
		And conjectures 2, 4 and 5 apply to these subsets of the Julia set as well as to the Julia set as a whole, thus giving rise to what might be labeled conjectures 2'', 4'' and 5''.
	www.goertzel.org /books/complex/ch7.html (9513 words)

	An Intro to Perelman
		This conjecture states that the only compact three dimensional simply connected manifold is a three dimensional sphere.
		The Poincare Conjecture is one of the conjectures on their list of Milleneum Problems and they will soon determine whether they believe it has been proven and grant a one million dollar award to the mathematicians whose work led to the proof.
		While Hamilton had completed most of the steps to proving Thurston's conjecture, he was stuck on an issue involving the development of a sigularity (a place where the derivatives are not defined) and something called the cigar solution.
	comet.lehman.cuny.edu /sormani/others/perelman/introperelman.html (940 words)

	[No title]
		The problems listed here are from two sources: T = A Tribute to Paul Erdos, Cambridge University Press, 1990, pp.
		Conjecture: the function f(n) = T(n,H)/n^(3/2) is bounded above if and only if every connected subgraph of H has a vertex of valence 1 or 2.
		Conjecture: There are infinitely many consecutive pairs of early primes.
	www.math.niu.edu /~rusin/known-math/93_back/prizes.erd (1266 words)

	Journal of Online Mathematics and its Applications \| Creating Mathematical Experience in the Classroom
		This list was quickly compiled, so the person cited was the person on whose paper I first saw the conjecture.
		Lambie had conjectured that a general point taken on the interior or exterior of the triangle had a return time of 6.
		The class noted with appreciation that all of these conjectures were special cases of a more general theorem that reflections about concurrent lines will have a return time related to the number of lines.
	mathdl.maa.org /mathDL/4/?pa=content&sa=viewDocument&nodeId=626&bodyId=996 (1620 words)

	[No title]
		Conjecture: The product of a number (n — 1) and the number (n + 1) is always equal to ________.
		List the pairs of angles that are congruent.
		List all corresponding angles List all consecutive interior angles.
	www.pen.k12.va.us /VDOE/EnhancedSandS/mgeometry.doc (6599 words)

	Extremal Problems for Chromatic Neighborhood Sets (ResearchIndex)
		Abstract: The chromatic neighborhood sequence of a graph G is the list of the chromatic numbers of the subgraphs induced by the neighborhoods of the vertices.
		We study the maximum multiplicity of this sequence, proving, amongst other things, that if a chromatic neighborhood sequence has t distinct values, the largest value being d t, then there is a value with multiplicity at least 2d t t (1 (ln t=t)).
		2 a list of conjectures of Grati (context) - Fajtlowicz, the
	citeseer.ist.psu.edu /480516.html (303 words)

	Urim and Thummim - International Standard Bible Encyclopedia
		Their possession was one of the greatest distinctions conferred upon the priestly family (Deuteronomy 33:8; Ecclesiasticus 45:10), and seems to have been connected with the function of the priests as the mouthpiece of Yahweh, as well as with the ceremonial side of the service (Exodus 28:30; compare Arabic kahin, "soothsayer").
		Through their use, the nature of which is a matter of conjecture, the divine will was sought in national crises, and apparently the future foretold, guilt or innocence established, and, according to one theory, land divided (Babha' Bathra' 122a; Sanhedrin 16a).
		Thus, Joshua was to stand before Eleazar who was to inquire for him after the judgment (decision) of the Urim (Numbers 27:21).
	www.studylight.org /enc/isb/view.cgi?number=T9017 (1260 words)

	[No title]
		While this practice expands the length of the book it is not a superfluous indulgence: many readers will simply require a convenient text without attention to papyrological considerations and the right page is designed for them.
		If closer scrutiny of the text is required (conjectures, deletions, available space, line numbers), the reader has the left page which presents an accurate reconstruction of the form and stichometry of the original column.[[4]]
		The text on both pages is easy on the eyes and the left page gives the reader as clear an idea as possible of the state of the text and any alterations which have been made to it.
	www.und.ac.za /und/classics/schrev/98-04obb.html (1652 words)

	Making Mathematics: Mathematics Research Teacher Handbook
		For example, the many cow problems listed in the problem-posing chapter are all related by context and type, but they may not produce some larger vision that makes the solving of the next cow problem easier.
		The NCTM Standards include many important goals (e.g., being able to conjecture, show persistence in problem solving, develop mathematical models, etc.) that we are supposed to "cover" that do not fit well in the framework of timed tests.
		After the class makes a list of their questions, you can form groups and ask each one to pick a question for their members to explore.
	www2.edc.org /makingmath/Handbook/Teacher/Introduction/Introduction.asp (9488 words)

	HELM Project
		By intrinsic metadata we mean all those information wich can be automatically recovered by the structured representation of the terms and proofs (such as, say, the list of identifiers occurring in a term, or the main identifier in the conclusion of a statement).
		Blocks, as constants, could depend on variables; the list of variables (parameters) on which all the definitions in the block depend is also exported from Coq.
		Each conjecture has a type but not a body: to end the proof you must provide a body for each conjecture.
	helm.cs.unibo.it /project.html (3142 words)

	Internet Resources for use in Mathematics classes
		Conjectures in Geometry: An educational web site created for high school geometry students.
		Their list of 20 conjectures in Geometry is supported by demonstrations using the Geometers Sketchpad.
		The Fractal Microscope -- Zoom in on the visually fascinating world of Mandelbrot and Julia sets, explore the algorithms used to create them, and learn about the mathematics behind the cool graphics.
	www.internet4classrooms.com /math_topic.htm (1002 words)

	Nat' Academies Press, Knowing and Learning Mathematics for Teaching: Proceedings of a Workshop (2001)
		The section on square roots starts by listing the squares of 1, 10, 100, and 1,000 and the squares of 9, 99, 999, and 9,999.
		Other conversations suggested other promising sites of practice, and it seemed that a reasonable way to focus our discussion was to begin to make a list about tasks of teaching that serve as places where teachers have an opportunity to learn some mathematics.
		The discussion has highlighted different possibilities and reasons, conjectures that are still emerging in my own thinking as reasons why these sites of practice might be productive.
	www.nap.edu /books/0309072522/html/105.html (8898 words)

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