By convention, Wikipedia article titles are not capitalized except for the first letter and proper names -- write your request as
This and such theorem instead of
This And Such Theorem. Every request for an article on a mathematical topic must include a reliable source where the the topic is defined, and must specify the place in the source where the topic is defined, particularly when the source is a book.
Also, when adding a request, please include as much information as possible (such as webpages, articles, or other reference material) so editors can find and distinguish your request from an already-created article.
Pseudo-orthonormal basis – needed to link to from WP, a widely used term, a generalization of but distinct from
orthonormal basis in that it allows an indefinite nondegenerate bilinear form.
Darboux cyclide - quartic surface, usually in 3D x,y,z space with points p(x,y,z): $A(x^{2}+y^{2}+z^{2})^{2}+(x^{2}+y^{2}+z^{2})L(x,y,z)+Q(x,y,z)=0$, where Q is quadric and L is linear. These include
Dupin cyclides and parabolic cyclides, and also
quadric surfaces.
Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Differential geometry and topology" and under "Geometry".
(High-speed mathematics is a book by
Lester Meyers, originally published in 1947. It presents "short-cuts and time-saving methods of doing mathematical calculations".)
Middle levels conjecture Is there a
Hamiltonian path in the graph defined by bitstrings with of length 2n+1 with n or n+1 ones (with an edge between any two vertices for which the corresponding bitstrings differ in exactly one bit)? Note: resolved.
[8]
Post-compromise security or otherwise known as
Future secrecy (similar to but more advanced than
Forward secrecy), a category of encryption whereby individual messages can not be decrypted even when an attacker breaks a single key - they need to intercept all messages in order to do so. This is apparently a feature of the
Signal protocol and also mentioned in
Double ratchet algorithm.
Hypercomplex differential equation (ordinary and partial differential equations with quaternions, octionions and other hypercomplex numbers, from hypercomplex analysis)
Please make a page on linearization of ordinary differential equations. More precisely, consider the system x dot = f(x,u,t) wherex and u are vectors. Then it is a standard result used in the theroy of control systems (in engineering disciplines) that it can be linearized as
x dot = Ax + Bu where A = partial f / partial x and B = partial / partial u.
However, in the engineeiring books or web resources no proof is offered for it. Many textbooks cite the following book [*] as a reference for its proof, but unfortunately I do not have access to it. In the engineering field many researchers will benefit from its proof.
[*] H. Amann. Ordinary Differential Equations: An Introduction to Nonlinear Analysis,
volume 13 of De Gruyter Studies in Mathematics. De Gruyter, Berlin - New York,
1990. — Preceding
unsigned comment added by
151.238.150.222 (
talk •
contribs) 20:12, 11 October 2015
This is a simple application of the concept of a
Total derivative. Whether there is justification for having a whole article on the specific application you have in mind I am not sure. The editor who uses the pseudonym "
JamesBWatson" (
talk) 14:59, 13 October 2015 (UTC)Replyreply
Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Algebraic geometry" and under "Geometry".
Brown–Douglas–Fillmore theory (classification of essentially normal operators by their essential spectrum and Fredholm index; introduces also a K-homology, a homology theory on topological spaces defined using C*-extensions.)
Choi–Effros lifting theorem (stating that a *-homomorphism, from a C*-algebra into a quotient has a completely positive lift if the *-homomorhism is nuclear, in particular when the C*-algebra is nuclear.)
Nekrasov's integral equation describes surface waves and is named for
Aleksandr Nekrasov. See, for example, Kuznetsov's article on John Wehausen
[28] or this issue in the Mathematica Journal
[29] or the entry in the EOM
[30]. The Google turns up plenty more articles citing Nekrsov's work.
Voiculescu's theorem (stating that if the image a representation of a concrete C*-algebra does not contain any compact operators, then, up to unitary equivalence modulo the compacts, it is absorbed by the identity representation as a direct summand.)
Geometric figures or
List of common geometric figures. As it is, I can't find the names of some simple figures. I shouldn't have to go searching and searching in "polygons" and "curvilinear figures" and "three-dimensional figures." A simple list or table with illustrations and either short descriptions or Wikipedia links would be fine. I'm not looking for some complicated technically correct dense mathematical discussion, just a way to find out the basics.
Milnor's theorem[36] Note: half the theorem is stated at
Growth rate (group theory), I don't think much more is needed apart from adding the other half and maybe a redirect (with a more precise page name then simply "Milnor's theorem).
Polystix, Similar to
Tetrastix but for sticks of different cross-sections, such as equilateral triangles (tristix) and regular hexagons (hexastix).^{
[61]} I don't own the reference book myself, but from the limited google books preview, I gather that they are related to
crystalline structures and regular
spherical packings of 3d space. As such it may be better to add a redirect to a page about one of those topics, or to the Tetrastix page, and also add complimentary material there explaining the relationship.
Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Algebraic geometry" and under "Differential geometry and topology".
Sutured manifold (could probably be a redirect to
Thurston norm, though the page currently lacks substantial info on the topic and should be edited before such a redirect)
Floretion (Numbers with digits 1,2,4,7 when written in base 8, equipped with group multiplication
[39], could also be in Abstract Algebra or Number Theory. For floretions of order 1 (quaternions) or 2, see Mathar, R.
[40] and
[41])
Cartan–Iwahori decomposition This is the non-archimedian version of the
Cartan decomposition for real Lie groups; probably should be a redirect to this page after the relevant content is added.
Quantrell Award - “The Quantrell Award is believed to be the nation’s oldest prize for undergraduate teaching. Based on letters of nomination from students, the award is among the most treasured by faculty. Nobel Laureate James Cronin, University Professor in Physics, said he was “bowled over to be receiving this Quantrell prize.” from
https://www.uchicago.edu/about/accolades/35/
Mathematical logic
Requests for articles about mathematical logic are on a separate page, and should be added there.
Mazzeo, Rafe - Mathematician, currently a Department Chair at the Mathematics Department at Stanford University
[58]. He obtained his PhD at MIT in 1986 under R.B. Melrose
[59]. His research areas are Differential Geometry, Microlocal Analysis, and Partial Differential Equations
[60]. He published over 100 mathematics papers in many prestigious journals
[61],
[62], including Annals of Mathematics
[63]. His work has been cited over 5000 times
[64]. He is the founder of the Stanford University Mathematics Camp
[65] This entry was added on the 16th of November, 2020.
Murphy, Timothy G. Mathemitican working in the area of Group Representations, Professor Emeritus, Trinity College, University of Dublin
Departmental webpage
Pseudo covariance (Also called of "complementary covariance". The pseudo-covariance is defined whenever a complex random vector z and its conjugate z* are correlated, making the covariance matrix C = cov(z) = E zz^H not describe entirely the second order statistics of z.)
32760_(number) -- lowest number evenly divisible by all integers from 1 to 16; factorisation 2 * 2 * 2 * 3 * 3 * 5 * 7 * 13. [Comment: 32760 is not divisible by 16 or 11. The correct lowest number divisible by 1 through 16 is 720720.]
Correct value as opposed to final value. this is seen when talking about true mean AND mean in statistics. But there is no article explaining this difference.
Prabhakar Function (a 3-parameter Mittag-Leffler function that has many applications in fractional calculus and plays a fundamental role in the description of the anomalous dielectric properties in disordered materials and heterogeneous systems manifesting simultaneous nonlocality and nonlinearity and, more generally, in models of Havriliak–Negami type. See e.g.
[81])
Intrinsic accuracy - regarding a distribution, the expected value of its derivative, equal to the integral over its support of the square of the derivative over the pdf.
Normalized mean - see
/info/en/?search=Average#Miscellaneous_types and Merigo, Jose M.; Cananovas, Montserrat (2009). "The Generalized Hybrid Averaging Operator and its Application in Decision Making". Journal of Quantitative Methods for Economics and Business Administration. 9: 69–84. ISSN 1886-516X.
Trimedian - see
/info/en/?search=Average#Miscellaneous_types and Merigo, Jose M.; Cananovas, Montserrat (2009). "The Generalized Hybrid Averaging Operator and its Application in Decision Making". Journal of Quantitative Methods for Economics and Business Administration. 9: 69–84. ISSN 1886-516X.
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