AxelBoldt - meaning of word image:AxelBoldt.jpgIn Amsterdam, and therefore happy.
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AxelBoldt



I teach mathematics at Metropolitan State University in Saint Paul, Minnesota. I'm interested in molecular biology, theoretical computer science, physics, astronomy, free software, (political) philosophy and chess. My home page is at [http://math-www.uni-paderborn.de/~axel/ http://math-www.uni-paderborn.de/~axel/]. I have contributed to and taken an active interest in the following Wikipedia articles. Since I don't believe that "intellectual property rights" exist, every word I write is by default, and always, in the public domain. Public domain license === Mathematics === Abelian group Talk:Abelian group -- Adjacency matrix Talk:Adjacency matrix -- Adjoint functors Talk:Adjoint functors -- Adjugate Talk:Adjugate -- Algebraic geometry Talk:Algebraic geometry -- Algebraic structure Talk:Algebraic structure -- Algebraically compact module Talk:Algebraically compact module -- Antiderivative Talk:Antiderivative -- Archimedian spiral Talk:Archimedian spiral -- Associative algebra Talk:Associative algebra -- Baire category theorem Talk:Baire category theorem -- Banach space Talk:Banach space -- Banach-Tarski paradox Talk:Banach-Tarski paradox -- Beatty's theorem Talk:Beatty's theorem -- Bernoulli inequality Talk:Bernoulli inequality -- Binomial coefficient Talk:Binomial coefficient -- Binomial theorem Talk:Binomial theorem -- Bolyai-Gerwien theorem Talk:Bolyai-Gerwien theorem -- Boolean algebra Talk:Boolean algebra -- Boolean ring Talk:Boolean ring -- Borel algebra Talk:Borel algebra -- Braid group Talk:Braid group -- Cartesian closed category Talk:Cartesian closed category -- Catalan number Talk:Catalan number -- Catalan's constant Talk:Catalan's constant -- Category of abelian groups Talk:Category of abelian groups -- Category of sets Talk:Category of sets -- Category of topological spaces Talk:Category of topological spaces -- Category theory Talk:Category theory -- Cauchy integral theorem Talk:Cauchy integral theorem -- Cauchy-Binet formula Talk:Cauchy-Binet formula -- Cauchy's integral formula Talk:Cauchy's integral formula -- Central limit theorem Talk:Central limit theorem -- Characteristic polynomial Talk:Characteristic polynomial -- Chinese remainder theorem Talk:Chinese remainder theorem -- Closed set Talk:Closed set -- Closure operator Talk:Closure operator -- Coalgebra Talk:Coalgebra -- Collatz conjecture Talk:Collatz conjecture -- Complex number Talk:Complex number -- Concrete category Talk:Concrete category -- Conjugacy class Talk:Conjugacy class -- Conjugate transpose Talk:Conjugate transpose -- Continued fraction Talk:Continued fraction -- Continuous Fourier transform Talk:Continuous Fourier transform -- Convergence of random variables Talk:Convergence of random variables -- Counting measure Talk:Counting measure -- Covering map Talk:Covering map -- Cubic equation Talk:Cubic equation -- De Moivre's formula Talk:de Moivre's formula -- Derived functor Talk:Derived functor -- Determinant Talk:Determinant -- Direct sum Talk:Direct sum -- Directed set Talk:Directed set -- Dirichlet character Talk:Dirichlet character -- Discrete Fourier transform Talk:Discrete Fourier transform -- Discrete logarithm Talk:Discrete logarithm -- Discriminant of a polynomial Talk:Discriminant of a polynomial -- Distribution Talk:Distribution -- Division algebra Talk:Division algebra -- Division ring Talk:Division ring -- Dual space Talk:Dual space -- Ehrhart polynomial Talk:Ehrhart polynomial -- Ellipsoid Talk:Ellipsoid -- Elliptic curve Talk:Elliptic curve -- Elliptic function Talk:Elliptic function -- Endomorphism ring Talk:Endomorphism ring -- Entire function Talk:Entire function -- Euler's formula Talk:Euler's formula -- Euler's four-square identity Talk:Euler's four-square identity -- Euler's identity Talk:Euler's identity -- Euler's theorem Talk:Euler's theorem -- Euler-Maclaurin formula Talk:Euler-Maclaurin formula -- Even and odd permutations Talk:Even and odd permutations -- Exact functor Talk:Exact functor -- Expected value Talk:Expected value -- Exponential function Talk:Exponential function -- Extended Riemann hypothesis Talk:Extended Riemann hypothesis -- Extended real number line Talk:Extended real number line -- F-space Talk:F-space -- Fast Fourier Transform Talk:Fast Fourier Transform -- Finite field Talk:Finite field -- Finitely generated abelian group Talk:Finitely generated abelian group -- Fitting lemma Talk:Fitting lemma -- Floor function Talk:Floor function -- Formal power series Talk:Formal power series -- Four color theorem Talk:Four color theorem -- Fraction (mathematics) Talk:Fraction (mathematics) -- Fréchet space Talk:Fréchet space -- Free group Talk:Free group -- Functor category Talk:Functor category -- Fundamental Theorem of Calculus Talk:Fundamental Theorem of Calculus -- Galois connection Talk:Galois connection -- Gauss-Bonnet theorem Talk:Gauss-Bonnet theorem -- Gauss-Jordan elimination Talk:Gauss-Jordan elimination -- Generalized mean Talk:Generalized mean -- Generalized Riemann hypothesis Talk:Generalized Riemann hypothesis -- Geometric progression Talk:Geometric progression -- Greatest common divisor Talk:Greatest common divisor -- Grothendieck topology Talk:Grothendieck topology -- Group action Talk:Group action -- Group homomorphism Talk:Group homomorphism -- Haar measure Talk:Haar measure -- Hahn-Banach theorem Talk:Hahn-Banach theorem -- Harmonic function Talk:Harmonic function -- Harmonic mean Talk:Harmonic mean -- Harmonic series (mathematics) Talk:Harmonic series (mathematics) -- Hausdorff dimension Talk:Hausdorff dimension -- Hilbert's basis theorem Talk:Hilbert's basis theorem -- Hilbert's Nullstellensatz Talk:Hilbert's Nullstellensatz -- Hölder's inequality Talk:Hölder's inequality -- Hilbert's third problem Talk:Hilbert's third problem -- Holomorphic function Talk:Holomorphic function -- Homology (mathematics) Talk:Homology (mathematics) -- Homotopy Talk:Homotopy -- Hopf algebra Talk:Hopf algebra -- Horner scheme Talk:Horner scheme -- Hyperbolic function Talk:Hyperbolic function -- Imaginary number Talk:Imaginary number -- Incircle and excircles of a triangle Talk:Incircle and excircles of a triangle -- Indecomposable module Talk:Indecomposable module -- Independent (probability) Talk:Independent (probability) -- Initial object Talk:Initial object -- Injective module Talk:Injective module -- Inner automorphism Talk:Inner automorphism -- Integral domain Talk:Integral domain -- Invariance of domain Talk:Invariance of domain -- Invertible matrix Talk:Invertible matrix -- Isomorphism of categories Talk:Isomorphism of categories -- Jacobson radical Talk:Jacobson radical -- Kleene algebra Talk:Kleene algebra -- Kleene's recursion theorem Talk:Kleene's recursion theorem -- König's lemma Talk:König's lemma -- L'Hopital's rule Talk:L'Hopital's rule -- Lagrange inversion theorem Talk:Lagrange inversion theorem -- Lambert's W function Talk:Lambert's W function -- Landau's function Talk:Landau's function -- Laplace's equation Talk:Laplace's equation -- Lebesgue measure Talk:Lebesgue measure -- Length of a module Talk:Length of a module -- Lie algebra Talk:Lie algebra -- Lie group Talk:Lie group -- Limit (category theory) Talk:Limit (category theory) -- Limit (mathematics) Talk:Limit (mathematics) -- Linear congruence theorem Talk:Linear congruence theorem -- Linear transformation Talk:Linear transformation -- Liouville's theorem Talk:Liouville's theorem -- Lipschitz continuous Talk:Lipschitz continuous -- List of mathematical topics Talk:List of mathematical topics -- List of small groups Talk:List of small groups -- Locally compact Talk:Locally compact -- Locally ringed space Talk:Locally ringed space -- Log-normal distribution Talk:Log-normal distribution -- Logarithmic spiral Talk:Logarithmic spiral -- Maximum entropy probability distribution Talk:Maximum entropy probability distribution -- Mathematical class Talk:Mathematical class -- Mathematics Talk:Mathematics -- Matroid Talk:Matroid -- Matrix (mathematics) Talk:Matrix (mathematics) -- Matrix norm Talk:Matrix norm -- Max flow min cut theorem Talk:Max flow min cut theorem -- Measure of non-compactness Talk:Measure of non-compactness -- Miller-Rabin primality test Talk:Miller-Rabin primality test -- Minkowski inequality Talk:Minkowski inequality -- Minkowski's theorem Talk:Minkowski's theorem -- Minor (graph theory) Talk:Minor (graph theory) -- Mitchell's embedding theorem Talk:Mitchell's embedding theorem -- Modular arithmetic Talk:Modular arithmetic -- Monster group Talk:Monster group -- Monty Hall problem Talk:Monty Hall problem -- Nash embedding theorem Talk:Nash embedding theorem -- Net Talk:Net -- Newton's method Talk:Newton's method -- Nine lemma Talk:Nine lemma -- Normal distribution Talk:Normal distribution -- Normal matrix Talk:Normal matrix -- Normal number Talk:Normal number -- Normal space Talk:Normal space -- Nowhere dense Talk:Nowhere dense -- Number theory Talk:Number theory -- Open map Talk:Open map -- Open mapping theorem Talk:Open mapping theorem -- Open set Talk:Open set -- Order (group theory) Talk:Order (group theory) -- Order of operations Talk:Order of operations -- Paracompact Talk:Paracompact -- Path integral Talk:Path integral -- Permanent Talk:Permanent -- Pi Talk:Pi -- Pointless topology Talk:Pointless topology -- Pole (complex analysis) Talk:Pole (complex analysis) -- Polygon Talk:Polygon -- Polynomial Talk:Polynomial -- Positive definite Talk:Positive definite -- Power series Talk:Power series -- Prime ideal Talk:Prime ideal -- Prime number theorem Talk:Prime number theorem -- Primitive root modulo n Talk:Primitive root modulo n -- Probability density function Talk:Probability density function -- Probability space Talk:Probability space -- Product (category theory) Talk:Product (category theory) -- Product of rings Talk:Product of rings -- Proportional Talk:Proportional -- Pure submodule Talk:Pure submodule -- Quotient space Talk:Quotient space -- Rank of a matrix Talk:Rank of a matrix -- Rectifiable curve Talk:Rectifiable curve -- Reflexive space Talk:Reflexive space -- Regression toward the mean Talk:Regression toward the mean -- Residue (complex analysis) Talk:Residue (complex analysis) -- Residue theorem Talk:Residue theorem -- Riemannian manifold Talk:Riemannian manifold -- Riemann hypothesis Talk:Riemann hypothesis -- Riemann mapping theorem Talk:Riemann mapping theorem -- Riemann zeta function Talk:Riemann zeta function -- Riesz representation theorem Talk:Riesz representation theorem -- Ring homomorphism Talk:Ring homomorphism -- Ring ideal Talk:Ring ideal -- Root of unity Talk:Root of unity -- Sarkovskii's theorem Talk:Sarkovskii's theorem -- Semi-continuous Talk:Semi-continuous -- Semidirect product Talk:Semidirect product -- Shapley value Talk:Shapley value -- Simple group Talk:Simple group -- Simple module Talk:Simple module -- Simply connected Talk:Simply connected -- Singleton (mathematics) Talk:Singleton (mathematics) -- Slope Talk:Slope -- Spectrum of a ring Talk:Spectrum of a ring -- Stone-Weierstrass theorem Talk:Stone-Weierstrass theorem -- Substitution rule Talk:Substitution rule -- Suslin's problem Talk:Suslin's problem -- Symmedian Talk:Symmedian -- Symmetry Talk:Symmetry -- Tangent Talk:Tangent -- Tangent space Talk:Tangent space -- Tarski's circle squaring problem Talk:Tarski's circle squaring problem -- Taylor series Talk:Taylor series -- Taylor's theorem Talk:Taylor's theorem -- Tensor Talk:Tensor -- Theorem of Bolzano-Weierstrass Talk:Theorem of Bolzano-Weierstrass -- Theorem of Heine-Borel Talk:Theorem of Heine-Borel -- Tietze extension theorem Talk:Tietze extension theorem -- Topological group Talk:Topological group -- Topological ring Talk:Topological ring -- Topos Talk:Topos -- Trace of a matrix Talk:Trace of a matrix -- Triangle Talk:Triangle -- Tychonoff's theorem Talk:Tychonoff's theorem -- Uniform convergence Talk:Uniform convergence -- Uniform space Talk:Uniform space -- Uniformly continuous Talk:Uniformly continuous -- Unique factorization domain Talk:Unique factorization domain -- Universal property Talk:Universal property -- Urysohn's Lemma Talk:Urysohn's Lemma -- Vector Talk:Vector -- Vector bundle Talk:Vector bundle -- Von Neumann regular ring Talk:Von Neumann regular ring -- Weierstrass-Casorati theorem Talk:Weierstrass-Casorati theorem -- Whitehead problem Talk:Whitehead problem -- Yoneda lemma Talk:Yoneda lemma -- Zero divisor Talk:Zero divisor -- Zero morphism Talk:Zero morphism -- === Logic and Computability === Ackermann function Talk:Ackermann function -- Algorithmic information theory Talk:Algorithmic information theory -- Chaitin's constant Talk:Chaitin's constant -- Computable number Talk:Computable number -- Continuum hypothesis Talk:Continuum hypothesis -- Definable number Talk:Definable number -- Entscheidungsproblem Talk:Entscheidungsproblem -- Epimenides paradox Talk:Epimenides paradox -- First-order predicate calculus Talk:First-order predicate calculus -- Gödel's incompleteness theorem Talk:Gödel's incompleteness theorem -- Gödel's ontological proof Talk:Gödel's ontological proof -- Lambda calculus Talk:Lambda calculus -- Liar paradox Talk:Liar paradox -- Matiyasevich's theorem Talk:Matiyasevich's theorem -- Ordinal Talk:Ordinal -- Presburger arithmetic Talk:Presburger arithmetic -- Principia Mathematica Talk:Principia Mathematica -- Word problem for groups Talk:Word problem for groups === Computing === A.L.I.C.E. Talk:A.L.I.C.E. -- Analytical engine Talk:Analytical engine -- Birthday attack Talk:Birthday attack -- Blender (program) Talk:Blender (program) -- CVS Talk:CVS -- Colossus computer Talk:Colossus computer -- CoolWebSearch Talk:CoolWebSearch -- Complexity classes P and NP Talk:Complexity classes P and NP -- Computer algebra system Talk:Computer algebra system -- Context-free grammar Talk:Context-free grammar -- Copyleft Talk:Copyleft -- Difference engine Talk:Difference engine -- Exponentiating by squaring Talk:Exponentiating by squaring -- GIMPS Talk:GIMPS -- GNU Free Documentation License Talk:GNU Free Documentation License -- Gnuplot Talk:Gnuplot -- History of computing Talk:History of computing -- ImageMagick Talk:ImageMagick -- Literate programming Talk:Literate programming -- MathML Talk:MathML -- Mebibyte Talk:Mebibyte -- Mizar system Talk:Mizar system -- Multiplication algorithm Talk:Multiplication algorithm -- QED project Talk:QED project -- Pumping lemma Talk:Pumping lemma -- Regular language Talk:Regular language -- Simputer Talk:Simputer -- Standards Performance Evaluation Corporation Talk:Standards Performance Evaluation Corporation -- SWIG Talk:SWIG -- Timeline of computing 1950-1979 Talk:Timeline of computing 1950-1979 -- Timeline of computing 1980-1989 Talk:Timeline of computing 1980-1989 -- Timeline of computing 1990-forward Talk:Timeline of computing 1990-forward -- Timeline of computing 750 BC-1949 Talk:Timeline of computing 500 BC-1949 -- Timeline of computing Talk:Timeline of computing -- Time hierarchy theorem Talk:Time hierarchy theorem -- Turing Test Talk:Turing Test -- Unary Talk:Unary -- Windows Meta File Talk:Windows Meta File -- X video extension Talk:X video extension -- Z notation Talk:Z notation === Physics and Astronomy === Atomic mass unit Talk:Atomic mass unit -- Big Bang Talk:Big Bang -- Color Talk:Color -- Dimensional analysis Talk:Dimensional analysis -- Grandfather paradox Talk:Grandfather paradox -- Gyrocompass Talk:Gyrocompass -- Higgs boson Talk:Higgs boson -- Hubble space telescope Talk:Hubble space telescope -- Hubble's law Talk:Hubble's law -- Virgo Supercluster Talk:Virgo Supercluster -- Physics Talk:Physics -- Potential difference Talk:potential difference -- Prism Talk:Prism -- Quantum mechanics Talk:Quantum mechanics -- Redshift Talk:Redshift -- Refractive index Talk:Refractive index -- Schroedinger equation Talk:Schroedinger equation -- Statcoulomb Talk:Statcoulomb -- Theory of relativity Talk:Theory of relativity -- Uncertainty Principle Talk:Uncertainty Principle -- Wave-Particle duality Talk:Wave-Particle duality === Biology === Acetaminophen Talk:Acetaminophen -- Alcohol dehydrogenase Talk:Alcohol dehydrogenase -- Atherosclerosis Talk:Atherosclerosis -- Bacteria in the human body Talk:Bacteria in the human body -- Bartholin's gland Talk:Bartholin's gland -- Bottlenose Dolphin Talk:Bottlenose Dolphin -- Beta blocker Talk:Beta blocker -- Beauveria bassiana Talk:Beauveria bassiana -- Blue field entoptic phenomenon Talk:Blue field entoptic phenomenon -- Camellia sinensis Talk:Camellia sinensis -- Circulatory system Talk:Circulatory system -- Color constancy Talk:Color constancy -- Common cold Talk:Common cold -- Dendritic cell Talk:Dendritic cell -- Discrimination abilities of pigeons Talk:Discrimination abilities of pigeons -- EC number Talk:EC number -- ELISA Talk:ELISA -- Fitbone surgery Talk:Fitbone surgery -- Gray whale Talk:Gray whale -- Helicobacter pylori Talk:Helicobacter pylori -- HIV test Talk:HIV test -- Homologous Talk:Homologous -- Housefly Talk:Housefly -- Hyperventilation Talk:Hyperventilation -- Isotretinoin Talk:Isotretinoin -- Human skin color Talk:Human skin color -- Ketone bodies Talk:Ketone bodies -- Knockout mouse Talk:Knockout mouse -- Low birth weight paradox Talk:Low birth weight paradox -- Malaria Talk:Malaria -- Menstrual cycle Talk:Menstrual cycle -- Mus musculus Talk:Mus musculus -- Myostatin Talk:Myostatin -- Naloxone Talk:Naloxone -- Ontogeny and phylogeny Talk:Ontogeny and phylogeny -- Para rubber tree Talk:Para rubber tree -- Peptide bond Talk:Peptide bond -- Phycobilin Talk:Phycobilin -- Plastination Talk:Plastination -- Postpartum depression Talk:Postpartum depression -- Protein Data Bank Talk:Protein Data Bank -- Pseudomembranous colitis Talk:Pseudomembranous colitis -- Rapid eye movement Talk:Rapid eye movement -- Recapitulation theory Talk:Recapitulation theory -- Red blood cell Talk:Red blood cell -- Septum Talk:Septum -- Timeline of evolution Talk:Timeline of evolution -- Terms for anatomical location Talk:Terms for anatomical location -- Toxoplasma gondii Talk:Toxoplasma gondii -- TRIM5-alpha Talk:TRIM5-alpha -- Visible Human Project Talk:Visible Human Project === Chemistry === Acetaldehyde Talk:Acetaldehyde -- Carbon dioxide Talk:Carbon dioxide -- CAS registry number Talk:CAS registry number -- Citric acid Talk:Citric acid -- Ethanol Talk:Ethanol -- Lactic acid Talk:Lactic acid -- Mustard oil Talk:Mustard oil -- Nitric oxide Talk:Nitric oxide -- Nitrous oxide Talk:Nitrous oxide -- Polymethyl methacrylate Talk:Polymethyl methacrylate -- Salt Talk:Salt -- Sodium hypochlorite Talk:Sodium hypochlorite -- UN number Talk:UN number -- Wood gas Talk:Wood gas -- Zyklon B Talk:Zyklon B === People === Amir Ageeb Talk:Amir Ageeb -- Mohammed Farah Aidid Talk:Mohammed Farah Aidid -- Alexander Alekhine Talk:Alexander Alekhine -- Joan of Arc Talk:Joan of Arc -- Mohammad Atta Talk:Mohammad Atta -- Aung_San_Suu_Kyi Talk:Aung_San_Suu_Kyi -- Roger Bacon Talk:Roger Bacon -- Astrid Benöhr Talk:Astrid Benöhr -- Otto von Bismarck Talk:Otto von Bismarck -- Napoleon Bonaparte Talk:Napoleon Bonaparte -- Hieronymus Bosch Talk:Hieronymus Bosch -- Caligula Talk:Caligula -- Gerolamo Cardano Talk:Gerolamo Cardano -- John Craig Talk:John Craig -- Carl Friedrich Gauss Talk:Carl Friedrich Gauss -- Billy Graham Talk:Billy Graham -- Martin Guerre Talk:Martin Guerre -- Gunther von Hagens Talk:Gunther von Hagnes -- Werner Karl Heisenberg Talk:Werner Karl Heisenberg -- Harry Houdini Talk:Harry Houdini -- Jörg Immendorff Talk:Jörg Immendorff -- Theodore Kaczynski Talk:Theodore Kaczynski -- Chuwit Kamolvisit Talk:Chuwit Kamolvisit -- Charles H. Keating Jr. Talk:Charles H. Keating Jr. -- Robert Kelly Talk:Robert Kelly -- Maximillian Kolbe Talk:Maximillian Kolbe -- Hugh Loebner Talk:Hugh Loebner -- Johann Nepomuk Mälzel Talk:Johann Nepomuk Mälzel -- Ulrike Meinhof Talk:Ulrike Meinhof -- Michel de Montaigne Talk:Michel de Montaigne -- Adolphe Quetelet Talk:Adolphe Quetelet -- Pornthip Rojanasunand Talk:Pornthip Rojanasunand -- Rainer Rupp Talk:Rainer Rupp -- Peter III of Russia Talk:Peter III of Russia -- Marquis de Sade Talk:Marquis de Sade -- Peter Singer Talk:Peter Singer -- Gertrude Stein Talk:Gertrude Stein -- Jesse Ventura Talk:Jesse Ventura -- Eduard Verhagen Talk:Eduard Verhagen -- Leonardo da Vinci Talk:Leonardo da Vinci -- Nina de Vries Talk:Nina de Vries -- Otto Weininger Talk:Otto Weininger -- Stephen Wolfram Talk:Stephen Wolfram -- Rob Zicari Talk:Rob Zicari === Miscellaneous === Amway Talk:Amway -- Atlantis (brothel) Talk:Atlantis (brothel) -- Auschwitz Talk:Auschwitz -- Auschwitz concentration camp Talk:Auschwitz concentration camp -- Body Worlds Talk:Body Worlds -- Bandwagon effect Talk:Bandwagon effect -- Causality Talk:Causality -- Cavalese cable-car disaster Talk:Cavalese cable-car disaster -- Chess strategy and tactics Talk:Chess strategy and tactics -- Chess Talk:Chess -- Chicken Ranch Talk:Chicken Ranch -- Child pornography Talk:Child pornography -- Cipla Talk:Cipla -- Climate changes of 535-536 Talk:Climate changes of 535-536 -- Cognitive science of mathematics Talk:Cognitive science of mathematics -- De Wallen Talk:De Wallen -- Fontevraud Abbey Talk:Fontevraud Abbey -- Hoffmann-La Roche Talk:Hoffmann-La Roche -- Holocaust Talk:Holocaust -- [http://wikibooks.org/wiki/Transwiki:How_to_find_a_book How to find a book] [http://wikibooks.org/wiki/Talk:Transwiki:How_to_find_a_book  ]-- Humanae Vitae Talk:Humanae Vitae -- Kathoey Talk:Kathoey -- Kern county child abuse cases Talk:Kern county child abuse cases -- Landmine Talk:Landmine -- Lengede Talk:Lengede -- Matrix Talk:Matrix -- Memorial to the Murdered Jews of Europe Talk:Memorial to the Murdered Jews of Europe -- Metropolitan State University Talk:Metropolitan State University -- Mustang Ranch Talk:Mustang Ranch -- Nigerian money transfer fraud Talk:Nigerian money transfer fraud -- OBJECTIVE: Christian Ministries Talk:OBJECTIVE: Christian Ministries -- Ohio v. Dalton Talk:Ohio v. Dalton -- Operation Coffee Cup Talk:Operation Coffee Cup -- Philosophy of mathematics Talk:Philosophy of mathematics -- Polygraph Talk:Polygraph -- Pornography Talk:Pornography -- Potsdam Conference Talk:Potsdam Conference -- Prosecutor's fallacy Talk:Prosecutor's fallacy -- Prostitution Talk:Prostitution -- Prostitution in Germany Talk:Prostitution in Germany -- Prostitution in Nevada Talk:Prostitution in Nevada -- Royal Library, Copenhagen Talk:Royal Library, Copenhagen -- Quixtar Talk:Quixtar -- Red eye effect Talk:Red eye effect -- Santorum Amendment Talk:Santorum Amendment -- Shell game Talk:Shell game -- Siddhartha Talk:Siddhartha -- Slogan 'AIDS Kills Fags Dead' Talk:AKFD -- Spiral Island Talk:Spiral Island -- Tenrikyo Talk:Tenrikyo -- The 120 Days of Sodom Talk:The 120 Days of Sodom -- The Kreutzer Sonata Talk:The Kreutzer Sonata -- Thumbnail gallery post Talk:Thumbnail gallery post -- Tiger Temple Talk:Tiger Temple -- Vatican Library Talk:Vatican Library -- Weed music distribution service Talk:Weed music distribution service -- Whistled speech Talk:Whistled speech -- WordNet Talk:WordNet === Wikipedia === Wikipedia:Barnstars_on_Wikipedia_for_the_consistently_excellent_quality_of_your_thousands_of_contributions,_for_your_many_articles_on_mathematics_and_a_whole_range_of_other_topics,_and_for_being_in_all_respects_one_of_Wikipedia's_finest_contributors._— User:Trilobite">Image:Barnstar.png|frame|I award you this Wikipedia:Barnstars on Wikipedia for the consistently excellent quality of your thousands of contributions, for your many articles on mathematics and a whole range of other topics, and for being in all respects one of Wikipedia's finest contributors. — User:Trilobite m:Making fun of Britannica -- Wikipedia:How to edit a page Talk:Wikipedia:How to edit a page -- Wikipedia:Searching Talk:Wikipedia:Searching -- Wikipedia:WikiMoney Talk:Wikipedia:WikiMoney ---- Some convenience links for my own use: * user:AxelBoldt/Todo. * List of mathematical topics * [http://www.wikipedia.org/w/wiki.phtml?title=Special:Newpages&limit=500 Last 500 new articles] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics&action=edit&redirect=no Edit list of math topics (A-C)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(D-F)&action=edit&redirect=no Edit list of math topics (D-F)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(G-I)&action=edit&redirect=no Edit list of math topics (G-I)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(J-L)&action=edit&redirect=no Edit list of math topics (J-L)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(M-O)&action=edit&redirect=no Edit list of math topics (M-O)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(P-R)&action=edit&redirect=no Edit list of math topics (P-R)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(S-U)&action=edit&redirect=no Edit list of math topics (S-U)] * [http://www.wikipedia.org/w/wiki.phtml?title=List_of_mathematical_topics_(V-Z)&action=edit&redirect=no Edit list of math topics (V-Z)] Axel Boldt

AxelBoldt



Please add new comments at the bottom. I will reply on this page. If I wrote something on your talk page, please reply there. The idea is to make quoting easy and keep conversations in their logical order. Older talk can be found in User_talk:AxelBoldt/Archive. Dear Axel, I think your revisions of the hyperventilation article have improved it generally. Thank you. I do have one reservation though. I would like to somehow restore the information that breathing is the primary pH regulation mechanism both because it gives some perspective on how hyperventilation can get pH out of whack, and because this important fact is not easy to find. What do you think? --User:AJim 01:26, 2 Jan 2005 (UTC) Oh yes certainly, I didn't really mean to cut that. Please restore. (Perhaps one could also mention this function of breathing in the respiration article.) Maybe you have also something to say regarding my question on Talk:Hyperventilation. Cheers, User:AxelBoldt 18:57, 3 Jan 2005 (UTC) ==Barnstar== Hello Axel. I don't know what you think about the Wikipedia:Barnstars on Wikipedia that are often awarded for outstanding contributions to Wikipedia, but I have taken the liberty of placing one on your user page after being amazed that there weren't a whole string of them there already. Feel free to move it to a more convenient location, change the caption, or remove it altogether as you wish. And keep up the good work! — User:Trilobite User_talk:Trilobite 03:13, 7 Jan 2005 (UTC) :Thanks a lot, I'm flattered! User:AxelBoldt 06:54, 7 Jan 2005 (UTC) ==Santorum== You deleted useful information about the neologism usage, replacing it with a wikilink to a nonexistent article. Are you creating or planning to create such an article? If not, the Santorum page should go back to its previous state. User:JamesMLane 06:56, 24 Jan 2005 (UTC) :I agree that the information was useful, but it was a duplication of the material at Savage Love. Since duplication is bad and disambiguation pages aren't supposed to contain much information anyway, I directed the reader to that article. Then I realized that an article santorum (word) already exists which currently redirects to Savage Love. So pointing to santorum (word) seemed the most logical: if we ever decide to take the material out of Savage Love and place it in its own article (which I'm currently not planning to do), then the disambiguation page at santorum will still point to the right place. Cheers, User:AxelBoldt 07:10, 24 Jan 2005 (UTC) ::I don't think duplication is bad if it makes the information more accessible to the reader. (If it creates too much clutter, of course, then duplication makes the information less accessible.) In this instance, I think the setup that's most useful to readers is that someone who enters "Santorum" in the search box gets a listing of the different meanings and can find elaboration on either without getting bogged down in the Savage Love stuff, which may well be irrelevant to this reader. That could be done with a separate article at Santorum (word), but, like you, I'm not planning to create it. It's borderline whether it merits a separate article. Absent such an article, I think giving the information in the dab page is the way to go. ::Meanwhile, I see that someone else reverted, unaware of the discussion here. I guess I should have put my comment on the article talk page instead of here, but I thought you might be doing a separate article, so I wanted to be sure you saw my question. User:JamesMLane 17:20, 24 Jan 2005 (UTC) :::I continued on Talk:Santorum. User:AxelBoldt 19:19, 24 Jan 2005 (UTC) == Gyrocompass == Hi Axel, I came across your article on the gyrocompass.
I'm curious: do you agree that the physics involved in how a gyrocompass works corroborates a hardly known aspect of general relativity? Many books on general relativity, especially books that popularize science, claim that all acceleration is as relative as the relativity between inertial velocities. If that would be true, the gyrocompass would violate general relativity. So a proper interpretation of general relativity must contain that angular velocity ''can'' be measured locally, without reference to other local matter.
An observer can measure an anisotropy in the Cosmic Background Radiation, presumebly that is the closest he can come to measuring his velocity with respect to the part of the universe visible to him. But it appears to me that a gyrocompass measures its own rotation with respect to the universe by comparing itself with local space-time.
I noticed the link to ''Reflections on Relativity'', at mathpages.com, that's where I get most of my information on relativity. User:Cleon Teunissen 19:27, 27 Jan 2005 (UTC) :Yes, it appears to me that one can locally determine angular velocity with a gyroscope, and I don't think that contradicts any statements of general relativity (except maybe the simplified accounts you mention). However, I shouldn't be trusted on any of this; it has been too long that I studied GR. Cheers, User:AxelBoldt 18:47, 29 Jan 2005 (UTC) ::Ah, you know, I think this is very ironical. I get the impression that some people take personal pride the idea that they have absorbed the highly counter-intuitive idea that ''all'' reference frames are indistinguishable, including rotating reference frames. Lately I have been involved in discussions with someone about these matters, and I wonder whether he may decide to take the stance that gyroscopes contradict general relativity. Cheers, User:Cleon Teunissen 19:49, 29 Jan 2005 (UTC) == New Mathematics Wikiportal == I noticed you've done some work on Mathematics articles. I wanted to point out to you the new Wikipedia:Wikiportal/Mathematics- more specifically, to the Wikipedia:Mathematics Collaboration of the Week page. I'm looking for any math-related stubs or non-existant articles that you would like to see on Wikipedia. Additionally, I wondered if you'd be willing to help out on some of the Collaboration of the Week pages. I encourage you to vote on the current Collaboration of the Week, because I'm very interested in which articles you think need to be written or added to, and because I understand that I cannot do the enormous amount of work required on some of the Math stubs alone. I'm asking for your help, and also your critiques on the way the portal is set up. Please direct all comments to User:Ral315 Wikipedia talk:Wikiportal/Mathematics, or Wikipedia talk:Mathematics Collaboration of the Week Thanks a lot for your support! User:Ral315 02:54, Feb 11, 2005 (UTC) == :Image:Housefly closeup.jpg == Hi. The Image was on the commons, and got deleted because Stock.xchng images are not 100% free. I have uploaded it again to the english wiki. -- User:Chris 73 User talk:Chris 73 00:10, Feb 19, 2005 (UTC) == hydrogen chloride and hydrochloric acid == Hi, Axel, you were the original one to create the [[hydrogen chloride] wikipage, to distinct it from hydrochloric acid, which is chemically correct. As the major product, the hydrochloric acid page has been up for review for some time, and now the question is asked whether it is optimal to re-combine the two or not. Would you please be so kind as to wikipedia:Peer_review/Hydrochloric_acid? User:Wimvandorst 17:18, 2005 Mar 13 (UTC) == Mathematics Project Participants List == Hi Axel. After some discussion Wikipedia talk:WikiProject Mathematics#Reformat of Participants list, I've converted the "Wikipedia:WikiProject Mathematics/Participants" into a table. It is now alphabetical, includes links to the participant's talk page and contribution list, and has a field for "Areas of Interest". I'm letting you know, so you can update your entry, if you want. User:Paul August User_talk:Paul August 22:41, Mar 18, 2005 (UTC) == fictitious force == Hi Axel, I'd like an outside opinion on my article on fictitious force. Reading through early versions of the article and conversations on talk pages, I saw that a lot of people are struggling to make sense of it. I was a struggle for me too. My current article on fictitious force is rather long, and very detailed. I did that on purpose, knowing how confused many people are about it; I strive to dispell all confusion. Can you please check out the article, and tell me whether you feel I have reached my objective? --User:Cleon Teunissen | User talk:Cleon_Teunissen 13:44, 19 Mar 2005 (UTC) Hi, I don't really know enough about physics to meaningfully evaluate the article, but nevertheless here are a couple of random observations: * you need a link to force * in the intro paragraph, you mention "the force he can measure" yet it is not clear which force that is or why he can measure it * in the next section, the crucial role of the observer is never mentioned again * in the car example, it's not clear which is the ficticious force: the one pressing from the seat towards my back, or the opposite one of my back pressing into the seat. This should be clearly related with the definition in the intro paragraph * it's not explained in which direction the centripetal force acts * both the sections on linear and circular acceleration have a couple of concluding sentences that are of a general nature and don't belong in those sections * the general relativity section is not intelligible. At one point, it talks about a frame that's fixed relative to "the stars". The stars of our galaxy (which rotate around the galaxy's center), or those of distant galaxies? The repeated anthropomorphization with "know" is out of place. Cheers, User:AxelBoldt 00:45, 20 Mar 2005 (UTC) :Thanks, I'll try and see what I can do about it. The general relativity section is only intelligable to people who are thoroughly familiar with general relativity. The only purpose of the general relativity section is to show that it is unnecessary to invoke general relativity. Earlier versions of the fictitious force article claimed erroneously that General Relativity proves that centrifugal force is just as much a force as gravity.
About the expression: relative to "the stars". I'm a physicist. To me, the rotation of our galaxy is negligably small compared to rotations that matter in daily life, so to me 'distant stars' is unambiguous. To a mathematician 'the distant stars' leaves room for ambiguity. --User:Cleon Teunissen | User talk:Cleon_Teunissen 08:50, 21 Mar 2005 (UTC) * in the next section, the crucial role of the observer is never mentioned again User:AxelBoldt 00:45, 20 Mar 2005 (UTC) :Well, in terms of physics, there is no role for the observer at all. The physics remains the same, independent of the perspective (and the physics understanding) of the observer.
The only role the observer can play is in his own mind, the observer may confuse himself. So I don't mention the observer in the case of linear acceleration, as people are usually not confused about that. The section on linear acceleration is meant as preparation for the next section. I aim to address the self-confusion in the case of circular motion, so in that section there is more focus on the observers mind.
Thanks again for your recommendations, I tried to work them into the article. --User:Cleon Teunissen | User talk:Cleon_Teunissen 09:40, 21 Mar 2005 (UTC) Hi http://en.wikipedia.org/wiki/Wikipedia%3AVillage_pump_%28miscellaneous%29#Retrospective User:Anthere 06:01, 21 Mar 2005 (UTC) == small groups == Hi - I wanted to construct a cycle diagram for one of the order 12 groups listed in the "list of small groups" article. Its the one with the following description: :the semidirect product of C3 and C4, where C4 acts on C3 by inversion Can you give me a product table for this group? Thanks - User:PAR 15:52, 29 Mar 2005 (UTC) I'd rather not write down the whole table with its 144 entries, but you should be able to construct it from the following information: take as elements the pairs (''x'',''y'') with ''x'' in {0,1,2} and ''y'' in {0,1,2,3} and define the group operation * by :(''x''1,''y''1) * (''x''2,''y''2) = ((''x''1+ φ(''y''1)''x''2) mod 3, (''y''1+''y''2) mod 4) where φ(''y'') is defined to be +1 if ''y'' is even and -1 if ''y'' is odd. The neutral element is (0,0). Cheers, User:AxelBoldt 23:54, 29 Mar 2005 (UTC) :Good, that worked - Thanks User:PAR 01:50, 30 Mar 2005 (UTC) Hi again- I wanted to construct cycle graphs for all 16-element groups, but I don't have an exhaustive list or their product tables. I can figure out the ones that are composed of lower order groups, but I will have a hard time with the others. Do you have a least a list of all 16-element groups, and at best, an algorithm or table for the difficult ones? Thanks - User:PAR 23:17, 30 Mar 2005 (UTC) :I don't have a list -- most lists in text books stop at 15, since there are so many groups of order 16. I believe the software GAP computer algebra system includes a complete list though, and it can produce product tables, but I don't know the details of how to do it. User:AxelBoldt 00:46, 31 Mar 2005 (UTC) == Retina article - perception of red blood cells == Would you happen to have a citation handy regarding the cause of tiny moving dots in the field of vision? See my question at Talk:Retina. Thanks - User:Mjb 08:44, 30 Mar 2005 (UTC) ==IfD== Hi Axel, Just to let you know that I have WP:IFD the image :Image:Death of Marat.jpg that you uploaded. It seems to have largely been obsoleted by :Image:Death of Marat by David.jpg now. -- User:Solipsist 20:23, 23 Apr 2005 (UTC) Thanks for letting me know! I'm not opposed to the deletion, but when comparing the two images I just noticed that they differ substantially in their color and in the inscriptions on the wood block and on the paper. Interesting! Cheers, User:AxelBoldt 18:44, 24 Apr 2005 (UTC) == Antibody == Are you sure antibodies are not glycoproteins? User:Jfdwolff | User_talk:Jfdwolff 08:03, 22 Jun 2005 (UTC) :Oops, you are right, they are. I'm reverting. Thanks, User:AxelBoldt 17:52, 22 Jun 2005 (UTC) == Ladder paradox == I noticed you contributed to the :twin paradox in special relativity. I wonder if you would comment on the arguements going on on the :ladder paradox page. We could really use your help. User:PAR 05:16, 23 Jun 2005 (UTC)


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