In mathematics , a pathological phenomenon is one whose properties are considered atypically bad or counterintuitive ... by counterexamples , defenders of the theorem argue that the exceptions are pathological. A famous ... can therefore say that particularly in mathematical analysis and set theory those searching for the pathological ... to finding general statements widely applicable. Each activity has its role within mathematics. Pathological functions A classic example is the Weierstrass function , which is continuous function ... teratologic museum. 20px 20px Henri Poincar 1899 This highlights the fact that the term pathological ... in the community of mathematicians, not necessarily within the subject matter of mathematics itself. Prevalence In cases of pathology, often most or almost all examples of a phenomenon are pathological, which is formalized by measures of size such as cardinality , measure mathematics measure almost .... Pathological examples Pathological examples often have some undesirable or unusual properties that make it difficult to contain or explain within a theory. Such pathological behaviour ..., that are 0 everywhere outside of a given limited Interval mathematics interval hence all derivatives .... math At the time of their discovery, each of these were considered highly pathological today, each ..., it should be pointed out that such judgments about what is or is not pathological are inherently subjective or at least vary with context and depend on both training and experience &mdash what is pathological to one researcher may very well be standard behaviour to another. Pathological examples ... onto 0, 1 × 0, 1 , and the Cantor set which is a subset of the interval 0, 1 and has the pathological property that it is uncountable , yet its measure mathematics measure is zero. Computer science In computer science , pathological has a slightly different sense with regard to the study of algorithm s. Here, an input or set of inputs is said to be pathological if it causes atypical behavior ... more details
Unreferenced stub auto yes date December 2009 Orphan date February 2009 Pathological fascism is term used by Gilles Deleuze and F lix Guattari in Anti Oedipus Capitalism and Schizophrenia , to refer to the pathological root of fascism . It is described to be the desire of people to be led, rather than to make decisions for themselves. Capitalisme et Schizophr nie 1. L Anti dipe. 1972 3. Trans. Anti Oedipus Capitalism and Schizophrenia. 1985. Capitalisme et Schizophr nie 2. Mille Plateaux. 1980. Trans. A Thousand Plateaus Capitalism and Schizophrenia. 1987. DEFAULTSORT Pathological Fascism Category Fascism Philo stub ... more details
Pathological staging is a method used to determine the stage of cancer . Tissue samples are removed during surgery or a biopsy . The stage is determined based on how the cells in the samples look under a microscope . External links http www.cancer.gov Templates db alpha.aspx?CdrID 257214 Pathological staging entry in the public domain NCI Dictionary of Cancer Terms NCI cancer dict Category Oncology oncology stub ... more details
for the New York Pathological Society New York Pathological Society The Pathological Society of Great Britain and Ireland is a professional organisation whose mission is stated as understanding disease . Membership and Profile The membership of the Society is mainly drawn from the UK but also includes an international membership. Members are a mixture and clinical and experimental pathologists . There is a strong representation of academic pathologists within the membership. A flourishing Trainees Group operates within the membership and represents those who are in the process of training in the discipline of pathology. The Society is run by a Committee elected from its membership. A group of Officers of the Society manage executive functions. These include a President currently Andrew Wyllie FRS , a General Secretary Simon Herrington , a Treasurer Alastair Burt and a Meetings Secretary Ian Ellis . Several subcommittees advise the main Committee, especially in developing research, education & training. The Society is registered as a charity in the UK. Activities The Society promotes its mission through a range of activities and initiatives. Meetings typically two each year at which lectures, original research and workshops are used to share information. Lectures the Society supports several named lectures each year. Israel Doniach Doniach Lecture Goudie Lecture and medal Oakley Lecture Grants The Society funds a range of studentships and related activities aligned to its mission. Journal The Journal of Pathology is sponsored by the Society and published by Wiley. It is presently the highest ranked pathology journal as measured by its impact factor History The Pathological Society of Great Britain and Ireland was established in 1906. Its original membership reflected a wide set of disciplines within pathology. In recent years, the Society membership is generally aligned ... history. External links http www.pathsoc.org.uk The Pathological Society of Great Britain and Ireland ... more details
For2 the genuine medical science pathology Science Pathological science is the process in science in which ... interactions . ref Irving Langmuir, Colloquium on Pathological Science , held at The Knolls Research ... Science, Princeton University. But see also I. Langmuir, Pathological Science , General Electric .......42j..36L& db key PHY& data type HTML& format & high 42ca922c9c20135 Pathological Science ... winning chemist , during a 1953 colloquium at the Knolls Research Laboratory. Langmuir said a pathological ... up on as false by the majority of scientists in the field. He called pathological science the science ... science, Pseudoscience bad science , junk science , and popular science .. pathological science ... 0 226 29262 2 ref Examples of pathological science may include Mars Martian canals Martian canals , N ... advocate of AIDS denialism , has criticised the term saying that pathological science is not scientific misconduct nor is it pathological , that it lacks justification in contemporary understanding ... journal issues 8 1 bauer.htm Pathological Science is not Scientific Misconduct nor is it pathological ... Definition Image Irving Langmuir.jpg right thumb Irving Langmuir coined the phrase pathological science in a talk in 1953. Pathological science, as defined by Langmuir, is a psychological process in which ..., and begins a pathological process of wishful data interpretation see the Observer expectancy effect , and cognitive bias . Some characteristics of pathological science are ref name bauer2002 The maximum ... of pathological science. It s still considered nowadays a traditional case of pathological ... examples Langmuir offered additional examples of what he regarded as pathological science in his original ... cases of pathological science, such as the alleged discovery of canals on Mars, N rays, polywater ... s original talk, a number of newer examples of what appear to be pathological science have appeared ... s infinite dilution . ref name labinger ref cite journal title Case Studies in Pathological Science ... more details
Dablink Maths and Math redirect here. For other uses of Mathematics or Math , see Mathematics disambiguation ..., Euclid s depiction in works of art depends on the artist s imagination see Euclid . ref Mathematics ... handbook 409 chapters The Future of Mathematics Education.aspx Association for Supervision and Curriculum Development , ascd.org ref ref Keith Devlin Devlin, Keith , Mathematics The Science of Patterns .... ref Through the use of abstraction mathematics abstraction and logic al reasoning , mathematics ... physics motions of physical objects. Practical mathematics has been a human activity for as far back as History of Mathematics written records exist. Logic Rigorous arguments first appeared in Greek mathematics , most notably in Euclid s Elements . Mathematics continued to develop, for example ... naturally or are human creations. The mathematician Benjamin Peirce called mathematics the science ... that as far as the laws of mathematics refer to reality, they are not certain and as far as they are certain, they do not refer to reality. ref name certain Mathematics is used throughout the world ... sciences . Applied mathematics , the branch of mathematics concerned with application of mathematical ... theory . Mathematicians also engage in pure mathematics , or mathematics for its own sake, without having any application in mind, although practical applications for what began as pure mathematics are often discovered. ref Peterson ref Etymology The word mathematics comes from the ancient Greek language ... that English borrowed only the adjective mathematic al and formed the noun mathematics anew ... Dictionary of English Etymology , Oxford English Dictionary , sub mathematics , mathematic , mathematics ref In English, the noun mathematics takes singular verb forms. It is often shortened to maths or, in English speaking North America, math . History Main History of mathematics Image Kapitolinischer ... credited with discovering the Pythagorean theorem . The evolution of mathematics might be seen ... more details
The Pathological Society of London was founded in 1846 for the cultivation and promotion of Pathology by the exhibition and description of specimens, drawings, microscopic preparations, casts or models of morbid parts. ref name Dean824 Its first meeting was held in February 1847. In 1907 it was merged with the Royal Medical and Chirurgical Society of London and other societies to become the Royal Society of Medicine . the society published 58 volumes of the Transactions of the Pathological Society of London . The society s first president was C. J. D. Williams. ref name Dean823 Early members included Richard Bright physician Richard Bright , Golding Bird , Sir William Gull, 1st Baronet William Gull , Sir William Jenner, 1st Baronet William Jenner , Henry Bence Jones and Richard Quain . ref name Dean824 References Footnotes Reflist refs ref name Dean823 Dean Dean , p. 823 ref ref name Dean824 Dean Dean , p. 824 ref Sources Refbegin Citation last Dean first H. R. author link title The Pathological Society of London work Proceedings of the Royal Society of Medicine publisher Royal Society of Medicine Press date October 1946 volume 39 issue 12 url http www.ncbi.nlm.nih.gov pmc articles PMC2182434 accessdate ref Dean Refend Category 1846 establishments in England Category British medical associations Category Scientific societies ... more details
Pathological demand avoidance PDA is a syndrome proposed ref http adc.bmj.com content 88 7 595.abstract ref by Elizabeth Newson . PDA is seen as a specific pervasive developmental disorder PDD . With other words, it is part of the PDD family which also includes autism . ref http adc.bmj.com content suppl 2003 07 02 88.7.595.DC1 887595supportingmaterial.pdf ref br PDA is not part of the manual of mental disorders DSM IV , ref http www.behavenet.com capsules disorders dsm4TRclassification.htm ref nor is it part of the proposed revision of this manual, the DSM V . ref http www.dsm5.org ProposedRevisions Pages InfancyChildhoodAdolescence.aspx ref At present, there are no neuroimage, genetic and neurobiological hypotheses for PDA. ref http www.scielo.br pdf 0D rbp v28s1 en a03v28s1.pdf ref Diagnostic criteria In contrast to most individuals with autism spectrum disorders, individuals with PDA possess superficial social skills and seem to have a theory of mind . They often engage in manipulative, domineering behavior. The defining criteria are Passive early history in the first year, resisting ordinary demands and missing Developmental milestones milestones Continuing to resist demands, resorting to tantrums, distraction techniques Surface sociability, but apparent lack of sense of social identity , pride or shame Lability of mood and impulsivity Comfortable in role play and pretending Language delay , seemingly the result of passivity Obsessive behavior Neurological signs awkwardness, similar to autism spectrum disorders ref http www.pdacontact.org.uk frames index.html ref References reflist Newson E., Le Mar chal K. and David C. 2003 Pathological demand avoidance syndrome a necessary distinction within the pervasive developmental disorders. Archives of Disease in Childhood , 88 , 595 600. External links http www.pdacontact.org.uk frames index.html Pathological Demand Avoidance Syndrome Contact Group http www.autismpda.org forum Autism Pathological Demand Avoidance Syndrome ... more details
Notability date April 2008 Cleanup date March 2009 Infobox Societies name New York Pathological Society image File Seal Of The New York Pathological Society, 1894.jpg 175px div style margin top 1.5em text align center font size .9em font style italic 1894 seal displaying the society s name in Latin, Societatis Pathologicae Novi Eboraci, its motto Mors Gaudet Succubrere Vitae, and a portrait of w Giovanni ... Pathological Society is a professional organization for pathologists in New York State . It was organized ... It published the journal Proceedings of the New York Pathological Society at various times from 1875 ... of the new york pathological society&1 2C1 2C OHSU ref History div style background color .... Peters, and L. A. Sayre , fond of pathological pursuits, who speedily associated with them a few ... The New York Pathological Society originate. in the following way Some time in 1842 or 43, I happened ... already been thinking of establishing a purely pathological society , and we three brought the project ... Clark, Gustavus A. Sabine, John A. Swett, and Israel Moses. The New York Pathological Society was modelled ... any one else in the matter of commencing a pathological society, as he then stood among the foremost ... York Pathological Society should never forget Dr. Jackson, who I have always understood was the originator ... A. Sayre S Account. How The N. Y. Pathological Society Originated. span Dr. Sayre, the president elect ... after a constitution and by laws were adopted, and the N. Y. Pathological Society was fairly founded ... and American and Dr. J. C. Peters, from the German pathological literature of the day. One member ... titlepage PPR7,M1 Proceedings of Meetings of the New York Pathological Society , 1876 ... Of The Society journal Proceedings of the New York Pathological Society for the Year 1893 publisher New York Pathological Society location New York City New York date 1893 page v url http books.google.com ?id Fh4CAAAAYAAJ&printsec titlepage PPR5,M1 oclc 7891627 author1 Society, New York Pathological ... more details
mathematicsPathologicalmathematics Degenerate form DEFAULTSORT Degeneracy Mathematics Category Elementary mathematics Category Mathematical concepts ar eo Degenereco matematiko ...For the degeneracy of a Graph mathematics graph degeneracy graph theory About degeneracy in mathematics Degeneracy disambiguation Degeneracy Unreferenced date December 2009 In mathematics , a degenerate case is a limiting case in which a class of object changes its nature so as to belong to another, usually simpler, class. A degenerate case thus has special features, which depart from the properties that are generic property generic in the wider class, and which would be lost under an appropriate small Perturbation theory perturbation . A Point geometry point is a degenerate circle , namely one with radius 0. A circle is a degenerate form of an ellipse , namely one with eccentricity mathematics eccentricity 0. The line mathematics line is a degenerate form of a parabola if the parabola resides on a tangent plane . A Line segment segment is a degenerate form of a rectangle , if this has a side of length 0. A hyperbola can degenerate into two lines crossing at a point, through a family of hyperbolas having those lines as common asymptote s. A set containing a single point is a degenerate Linear continuum continuum . A random variable which can only take one value has a degenerate distribution . A sphere is a degenerate standard torus where the axis of revolution passes through the center of the generating circle, rather than outside it. A degenerate triangle has collinear vertices. See general position for other examples. Similarly, root of a function root s of a polynomial are said to be degenerate if they coincide, since generically the n roots of an n th degree polynomial are all distinct. This usage carries over to eigenproblems a degenerate eigenvalue i.e. a multiply coinciding ... . In quantum mechanics any such multiplicity mathematics multiplicity in the eigenvalues of the Hamiltonian ... more details
Degeneracy mathematics Degeneracy PathologicalmathematicsPathological Parkinson s Law of Triviality ...Unreferenced date December 2009 In mathematics , the adjective trivial is frequently used for Category theory objects for examples, group mathematics group s or topological space s that have a very simple structure. The noun triviality usually refers to a simple technical aspect of some proof or definition. Trivial objects or structures For non mathematicians, they are sometimes more difficult to visualize or understand than other, more complicated objects. Examples include empty set the Set mathematics set containing no members trivial group the mathematical group mathematics group containing only the identity element trivial ring a ring mathematics ring defined on a singleton set . Trivial also refers to solutions to an equation that have a very simple structure, but for the sake of completeness cannot be omitted. These solutions are called the trivial solution . For example, consider the differential equation math y y math where y f x is a function mathematics function whose derivative is y &prime . The trivial solution is y 0, the 0 number Related mathematical terms zero function while a nontrivial solution is y x e sup x sup , the exponential function . Similarly, mathematicians often describe Fermat s Last Theorem as asserting that there are no nontrivial integer solutions to the equation math a n b n c n math when n is greater than 2. Clearly, there are some solutions to the equation. For example, math a b c 0 math is a solution for any n , as is a 1, b 0, c 1. But such solutions are all obvious and uninteresting, and hence trivial . Triviality in mathematical reasoning Trivial may also refer to any easy Proof by exhaustion case of a proof, which for the sake of completeness cannot be ignored. For instance, proofs by mathematical induction have two parts the base ... Trivial.html Trivial entry at MathWorld DEFAULTSORT Trivial Mathematics Category Mathematical ... more details
saved book title Mathematics subtitle An overview cover image Math.svg cover color Mathematics Main article Mathematics Supporting articles History of mathematics Mathematical beauty Mathematical notation Category Wikipedia books on mathematicsMathematics ... more details
self immersion mathematics immersion . Pathological properties Solenoids are compact space compact ... . This is reflected in their pathologicalmathematicspathological behavior with respect to various ...This page discusses a class of topological groups. For the wrapped loop of wire, see Solenoid . In mathematics , a solenoid is a compact space compact connected space connected topological space i.e. a continuum topology continuum that may be obtained as the inverse limit of an inverse system of topological group s and continuous function continuous homomorphism s S sub i sub , f sub i sub , f sub i sub S sub i 1 sub &rarr S sub i sub , i &ge 0, where each S sub i sub is a circle and f sub i sub is the map that uniformly wraps the circle S sub i 1 sub n sub i sub times n sub i sub &ge 2 around the circle S sub i sub . This construction can be carried out geometrically in the three dimensional Euclidean space R sup 3 sup . A solenoid is a one dimensional homogeneous indecomposable continuum that has the structure of a compact topological group . In the special case where all n sub i sub have the same value n , so that the inverse system is determined by the multiplication by n self map of the circle, solenoids were first introduced by Leopold Vietoris Vietoris for n 2 and by David van Dantzig van Dantzig for an arbitrary n . Such a solenoid arises as a one dimensional expanding attractor , or Smale Williams attractor , and forms an important example in the theory of hyperbolic dynamics hyperbolic dynamical system s. Geometric construction and the Smale Williams attractor Image Solenoid.png thumb 250px A solid torus wrapped 3 times inside another solid torus in R sup 3 sup Each solenoid may be constructed as the intersection of a nested system of embedded solid tori in R sup 3 sup . Fix a sequence of natural numbers n sub i sub , n sub i sub .... Math. IHES, t. 43 1974 , p. 169 203 DEFAULTSORT Solenoid Mathematics Category Topological groups ... more details
Wiktionarypar mathematicsMathematics is the body of knowledge justified by deductive reasoning about abstract structures, starting from axioms and definitions. Mathematics may also refer to Mathematics producer , a hip hop producer Mathematics album , an album by the band The Servant Mathematics song , a song by Mos Def Mathematics Little Boots song , a song by Little Boots Mathematics Magazine , a publication of the Mathematical Association of America See also Category Mathematics Portal Mathematics Math disambiguation Mathematica disambiguation disambig fr Math homonymie it Mathematics lv Mathematics ... more details
. Knots that are not tame are called wild and can have pathologicalmathematicspathological behavior ... generally speaking In contemporary mathematics the term knot is sometimes used to describe a more ..., Knots and Surfaces A Guide to Discovering Mathematics , 1995. Colin C. Adams, The Knot Book An Elementary ... more details
Folk mathematics can mean The mathematical folklore that circulates among mathematicians The informal mathematics used in everyday life, as studied in ethno cultural studies of mathematics. disambig Category Mathematical disambiguation ... more details
wiktionarypar collection In mathematics, depending on the context, a collection may refer to any of the following terms Set mathematics Class set theory Family mathematics Multiset Mathdab nl Collectie wiskunde tr K meler teorisi ... more details
Expert subject Mathematics date November 2008 unreferenced date July 2010 In the philosophy of mathematics , ordinary mathematics is an inexact term, used to distinguish the body of most mathematical work from that of, for example, constructivism mathematics constructivist , intuitionism intuitionist , or finitism finitist mathematics. Ordinary mathematics is usually studied within the universe mathematics universe Universe mathematics In ordinary mathematics SN , or sometimes V sub sub see Von Neumann universe . Contrast with finitist mathematics, which limits to the study of V sub sub see hereditarily finite set s , or with metamathematics and the study of large cardinal s, which study objects contained in a larger universe. Ordinary mathematicians generally assume the axiom of choice at least, because it makes their work easier , whereas constructivists reject it on the grounds that it is non constructive , and also reject the law of excluded middle , which can be derived from it. Category Philosophy of mathematics math stub ... more details
Italic title Mathematics of Computation ref http www.ams.org mcom aboutmcom.html Mathematics of Computation Journal overview , retrieved April 2007 ref is a quarterly mathematics journal focused on computational mathematics that is published by the American Mathematical Society . It was established in 1943. The articles in all volumes older than five years are available electronically free of charge. ref http www.ams.org jourcgi jrnl toolbar nav mcom all Mathematics of Computation Archive ref References reflist Category Mathematics journals Category Quarterly journals sci journal stub ... more details
Additional Mathematics is a UK qualification pilot scheme in its final year of implementation for a GCSE level qualification in mathematics which is applied to a range of problems set out in a different format to the standard Mathematics GCSE. This has been formed due to the standard secondary schools in England offering two GCSE qualifications in Science and English language English but only one in Mathematics and as Mathematics is also a core Course education subject it needs to be viewed on the same level as the other two core subjects Science and English. Additional Mathematics in Malaysia In Malaysia , Additional Mathematics is offered as an elective to upper secondary students studying within the Education in Malaysia public education system . This subject is included in the Sijil Pelajaran Malaysia examination. Topics that are covered in the Additional Mathematics syllabus include Function mathematics function s, quadratic equation s, Derivative differentiation and Integral integration calculus . Category Educational qualifications in the United Kingdom Category Education in Malaysia ... more details
In the foundations of mathematics , classical mathematics refers generally to the mainstream approach to mathematics , which is based on classical logic and ZFC set theory . ref cite book title The Oxford Handbook of Philosophy of Mathematics and Logic editor Stewart Shapiro editor link Stewart Shapiro publisher Oxford University Press, USA year 2005 isbn 978 019 514877 0 ref It stands in contrast to other types of mathematics such as constructive mathematics or predicative mathematics theories other than those usually used by working mathematicans are thus non classical mathematics . For example, Non standard analysis Approaches to non standard analysis some approaches to non standard analysis can also be considered an example of non classical mathematics. In practice, the most common non classical systems are used in constructive mathematics. ref cite book title Provability and Truth author Torkel Franz n authorlink Torkel Franz n publisher Almqvist & Wiksell International year 1987 isbn 91 22 01158 7 ref Classical mathematics is sometimes attacked on philosophical grounds, due to constructivism mathematics constructivist and other objections to the logic, set theory, etc., chosen as its foundations, such as have been expressed by L. E. J. Brouwer . Almost all mathematics, however, is done in the classical tradition, or in ways compatible with it. Defenders of classical mathematics, such as David Hilbert , have argued that it is easier to work in, and is most fruitful although they acknowledge non classical mathematics has at times led to fruitful results that classical mathematics could not or could not so easily attain, on the whole they argue it is the other way round. In terms of the philosophy and history of mathematics, the very existence of non classical mathematics ... aspects. See also Constructivism mathematics Finitism Intuitionism Non classical analysis Ultrafinitism References references DEFAULTSORT Classical Mathematics Category Mathematical logic ... more details
The term finite mathematics refers either to discrete mathematics , or to a course conventionally required of business students, in which the curriculum brings together several mathematical topics, including basic probability theory , an introduction to linear programming , some theory of matrix mathematics matrices and determinants, and sometimes an abbreviated account of calculus . disambig Category Mathematical disambiguation ... more details
Unreferenced date December 2009 A mathematics journal is a scientific journal which publishes exclusively or almost exclusively mathematics papers. A practical definition of the current state of mathematics , as a research field, is that it consists of theorem s with proofs published in a reputable mathematics journal, and which usually have passed through the process of peer review . In some exceptional cases, the statement of a conjecture , or the introduction of some new method or definition might assume relevance. A relatively small proportion of mathematics papers concerned with pure mathematics are published through more general, science based learned journals. Applied mathematics may be published in publications more oriented towards engineering , but sometimes also biology and other sciences. Hundreds of such journals exist. Some of the most prestigious journals in pure mathematics are Annals of Mathematics , Publications Math matiques de l IH S , Acta Mathematica , and Inventiones Mathematicae . See also List of scientific journals in mathematics List of free electronic journals in mathematics DEFAULTSORT Mathematical Journal Category Mathematics journals nl Wiskundig tijdschrift ... more details
In mathematics , a connector is a map which can be defined for a linear connection and used to define the covariant derivative on a vector bundle from the linear connection. geometry stub Category Connection mathematics ... more details
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