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".
Mathematics and Its Applications Nonlinear Stochastic Evolution Problems in Applied Sciences [1 ed.]
ISBN978-94-010-4803-3
Researching the Socio-Political Dimensions of Mathematics Education: Issues of Power in Theory and Methodology (Mathematics Education Library) [1 ed.]
ISBN9781402079061
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
Rooney, Caoimhe – mathematician from Belfast, researcher of distant planets, founder of Methematigals for women in STEM, listed in Forbes 30 Under 30
[66]
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.
[79])
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.
^Jacobson, Nathan (1968). Structure and Representations of Jordan Algebras. American Mathematical Society Colloquium Publications. Vol. 39. American Mathematical Society. p. 287.
ISBN0-8218-7472-1.
^Narkiewicz, Władysław (2004). Elementary and analytic theory of algebraic numbers. Springer Monographs in Mathematics (3rd ed.). Berlin:
Springer-Verlag. p. 254.
ISBN3-540-21902-1.
Zbl1159.11039.
^Baur, Karin; King, Alastair; Marsh, Robert J. (2016). "Dimer models and cluster categories of Grassmannians". Proceedings of the London Mathematical Society. 113 (2): 213–260.
arXiv:1309.6524.
doi:
10.1112/plms/pdw029.
S2CID55442266.
^Choie, Y.; Diamantis, N. (2006). "Rankin–Cohen brackets on higher-order modular forms". In Friedberg, Solomon (ed.). Multiple Dirichlet series, automorphic forms, and analytic number theory. Proceedings of the Bretton Woods workshop on multiple Dirichlet series, Bretton Woods, NH, USA, July 11–14, 2005. Proc. Symp. Pure Math. Vol. 75. Providence, RI:
American Mathematical Society. pp. 193–201.
ISBN0-8218-3963-2.
Zbl1207.11052.
^McCrory, Clint; Parusinski, Adam (1996). "Algebraically constructible functions".
arXiv:alg-geom/9606004.
^Montgomery, Susan (1993). Hopf algebras and their actions on rings. Expanded version of ten lectures given at the CBMS Conference on Hopf algebras and their actions on rings, which took place at DePaul University in Chicago, USA, August 10-14, 1992. Regional Conference Series in Mathematics. Vol. 82. Providence, RI: American Mathematical Society. p. 164.
ISBN978-0-8218-0738-5.
Zbl0793.16029.
^Willerton, Simon (2013-02-18). "Tight spans, Isbell completions and semi-tropical modules".
arXiv:1302.4370 [
math.CT].
^Soulé, C.; Abramovich, Dan; Burnol, J.-F.; Kramer, Jürg (1992). Lectures on Arakelov geometry. Cambridge Studies in Advanced Mathematics. Vol. 33. Joint work with H. Gillet. Cambridge:
Cambridge University Press. p. 36.
ISBN0-521-47709-3.
Zbl0812.14015.
^Timashev, Dmitry A. (2011). Invariant Theory and Algebraic Transformation Groups 8. Homogeneous spaces and equivariant embeddings. Encyclopaedia of Mathematical Sciences. Vol. 138. Berlin: Springer-Verlag.
ISBN978-3-642-18398-0.
Zbl1237.14057.
^Knutson, Allen; Lam, Thomas; Speyer, David (15 Nov 2011). "Positroid Varieties: Juggling and Geometry".
arXiv:1111.3660 [
math.AG].
^J.-Y. Welschinger, Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry, Invent. Math. 162 (2005), no. 1, 195-234.
Zbl1082.14052
^Consani, Caterina;
Connes, Alain, eds. (2011). Noncommutative geometry, arithmetic, and related topics. Proceedings of the 21st meeting of the Japan-U.S. Mathematics Institute (JAMI) held at Johns Hopkins University, Baltimore, MD, USA, March 23–26, 2009. Baltimore, MD: Johns Hopkins University Press.
ISBN978-1-4214-0352-6.
Zbl1245.00040.
^Machiel van Frankenhuijsen (2014). The Riemann Hypothesis for function fields. LMS Student Texts. Vol. 80. Cambridge University Press.
ISBN978-1-107-68531-4.
^Bartolome, Boris (2014). "The Skolem-Abouzaid theorem in the singular case".
arXiv:1406.3233 [
math.NT].
^Nisse, Mounir (2011). "Complex tropical localization, and coamoebas of complex algebraic hypersurfaces". In Gurvits, Leonid (ed.). Randomization, relaxation, and complexity in polynomial equation solving. Banff International Research Station workshop on randomization, relaxation, and complexity, Banff, Ontario, Canada, February 28–March 5, 2010. Contemporary Mathematics. Vol. 556. Providence, RI: American Mathematical Society. pp. 127–144.
ISBN978-0-8218-5228-6.
Zbl1235.14058.
^Ballico, E. (2011). "Scroll codes over curves of higher genus: Reducible and superstable vector bundles". Designs, Codes and Cryptography. 63 (3): 365–377.
doi:
10.1007/s10623-011-9561-6.
S2CID27463381.
^Park, Seong Ill; Park, So Ryoung; Song, Iickho; Suehiro, Naoki (2000). "Multiple-access interference reduction for QS-CDMA systems with a novel class of polyphase sequences". IEEE Trans. Inf. Theory. 46 (4): 1448–1458.
doi:
10.1109/18.850681.
Zbl1006.94500.
^*Soulé, C. (1992). Lectures on Arakelov geometry. Cambridge Studies in Advanced Mathematics. Vol. 33. with the collaboration of D. Abramovich, J.-F. Burnol and J. Kramer. Cambridge University Press.
ISBN0-521-41669-8.
MR1208731.
Zbl0812.14015.
^
^{a}^{b}Azizov, T.Ya.; Iokhvidov, E.I.; Iokhvidov, I.S. (1983). "On the connection between the Cayley-Neumann and Potapov-Ginzburg transformations". Funkts. Anal. (in Russian). 20: 3–8.
Zbl0567.47031.
^e.g. Cwikel et al., On the fundamental lemma of interpolation theory, J. Approx. Theory 60 (1990) 70–82
^McCarthy, Paul J. (1991). Algebraic extensions of fields (Corrected reprint of the 2nd ed.). New York: Dover Publications. p. 132.
Zbl0768.12001.
^Fried, Michael D.; Jarden, Moshe (2008). Field arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Vol. 11 (3rd ed.).
Springer-Verlag. p. 562.
ISBN978-3-540-77269-9.
Zbl1145.12001.
^Fried, Michael D.; Jarden, Moshe (2008). Field arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Vol. 11 (3rd ed.).
Springer-Verlag. pp. 463–464.
ISBN978-3-540-77269-9.
Zbl1145.12001.
^Erickson, Martin J. (2014). Introduction to Combinatorics. Discrete Mathematics and Optimization. Vol. 78 (2 ed.). John Wiley & Sons. p. 134.
ISBN978-1118640210.
^Imre, Sandor; Gyongyosi, Laszlo (2012). Advanced Quantum Communications: An Engineering Approach. John Wiley & Sons. p. 112.
ISBN978-1118337431.
^Oh, Suho; Postnikov, Alex; Speyer, David E (20 Sep 2011). "Weak separation and plabic graphs". Proceedings of the London Mathematical Society. 110 (3): 721–754.
arXiv:1109.4434.
doi:
10.1112/plms/pdu052.
S2CID56248427.
^Ellis-Monaghan, Joanna A.; Moffatt, Iain (2013). Graphs on Surfaces: Dualities, Polynomials, and Knots. SpringerBriefs in Mathematics.
Springer-Verlag.
ISBN978-1461469711.
^Zhao, Xiang-Yu, Bin Huang, Ming Tang, Hai-Feng Zhang, and Duan-Bing Chen. "Identifying effective multiple spreaders by coloring complex networks." EPL (Europhysics Letters) 108, no. 6 (2015): 68005.
arXiv.org preprint
^Fried, Michael D.; Jarden, Moshe (2008). Field arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Vol. 11 (3rd ed.).
Springer-Verlag. p. 613.
ISBN978-3-540-22811-0.
Zbl1055.12003.
^Fried, Michael D.; Jarden, Moshe (2008). Field arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. Vol. 11 (3rd ed.).
Springer-Verlag. p. 352.
ISBN978-3-540-22811-0.
Zbl1055.12003.
^Montgomery, Susan (1993). Hopf algebras and their actions on rings. Expanded version of ten lectures given at the CBMS Conference on Hopf algebras and their actions on rings, which took place at DePaul University in Chicago, USA, August 10-14, 1992. Regional Conference Series in Mathematics. Vol. 82. Providence, RI: American Mathematical Society. p. 207.
ISBN978-0-8218-0738-5.
Zbl0793.16029.
^Deligne, Pierre; Etingof, Pavel; Freed, Daniel S.; Jeffrey, Lisa C.; Kazhdan, David; Morgan, John W.; Morrison, David R.; Witten, Edward, eds. (1999). Quantum fields and strings: a course for mathematicians. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Vol. 2. Providence, RI: American Mathematical Society. p. 884.
ISBN0-8218-8621-5.
Zbl0984.00503.
^Belavin, A.A. (1980). "Discrete groups and integrability of quantum systems". Funkts. Anal. Prilozh. 14 (4): 18–26.
Zbl0454.22012.
^Guterman, Alexander E. (2008). "Rank and determinant functions for matrices over semirings". In Young, Nicholas; Choi, Yemon (eds.). Surveys in Contemporary Mathematics. London Mathematical Society Lecture Note Series. Vol. 347.
Cambridge University Press. pp. 1–33.
ISBN978-0-521-70564-6.
ISSN0076-0552.
Zbl1181.16042.
^Narkiewicz, Władysław (2004). Elementary and analytic theory of algebraic numbers. Springer Monographs in Mathematics (3rd ed.). Berlin:
Springer-Verlag. p. 307.
ISBN3-540-21902-1.
Zbl1159.11039.
^Narkiewicz, Władysław (2004). Elementary and analytic theory of algebraic numbers. Springer Monographs in Mathematics (3rd ed.). Berlin:
Springer-Verlag. p. 123.
ISBN3-540-21902-1.
Zbl1159.11039.
^Bossert, Walter; Suzumura, Kōtarō (2010). Consistency, choice and rationality. Harvard University Press. p. 36.
ISBN978-0674052994.
^Capon, Jack (1964). "Randon-Nikodym Derivatives of Stationary Gaussian Measures". The Annals of Mathematical Statistics. 35 (2): 517–531.
doi:
10.1214/aoms/1177703552.
JSTOR2238506.
^Arhangel'Skii, A. (1996). General topology II: compactness, homologies of general spaces. Encyclopaedia of mathematical sciences. Vol. 50. Springer-Verlag. p. 59.
ISBN0-387-54695-2.
Zbl0830.00013.
^
^{a}^{b}Arhangelʹskiĭ, A. V. (1969). "An approximation of the theory of dyadic bicompacta". Dokl. Akad. Nauk SSSR (in Russian). 184: 767–770.
MR0243485.