User:Saung Tadashi

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Hello! I'm user of Wikipedia interested in mathematics, mainly in control theory and dynamical systems.

My personal homepage is at https://htadashi.github.io/

Drafts I'm working on

 * Polynomial optimization
 * Clegg integrator
 * Tame generators conjecture
 * Thom's lemma
 * Miao's inequality
 * Study quadric
 * Heymann's lemma
 * Brockett's criterion
 * Zarankiewicz's theorem
 * Bartle-Graves Theorem
 * Lhuillier’s theorem - see "Sombras de triângulos ao sol: uma demonstração algébrica elementar do Teorema de Lhuillier em geometria espacial"
 * Bohl exponent

On control theory

 * Zero dynamics - Improve article with section about zero dynamics attacks and how to relate it with actuators position
 * State–action–reward–state–action - Add section about Expected SARSA
 * Q-learning - Add information about Dyna-Q and Dyna-Q+
 * Full state feedback - Add more information about multi-input systems (see the Introduction of paper https://arxiv.org/pdf/1805.08762.pdf)
 * Sensitivity (control systems) - Add bicycle example. See also: https://www.kth.se/social/upload/51485b04f276547482fe6fb8/lec02_1up.pdf
 * Controllability - Add section about PHB test and rewrite the reachability part. Maybe add parking problem
 * BIBO stability
 * Final value theorem - Add the following generalizations:
 * http://www.ee.bgu.ac.il/~gluskin/pdf/Let.us.teach.EJP.Gluskin.pdf
 * http://www-personal.umich.edu/~dsbaero/others/39-FVTrevisited.pdf
 * Circle criterion - Add section about Tsypkin criterion (see https://onlinelibrary.wiley.com/doi/abs/10.1002/acs.646)
 * Nonlinear control
 * Ackermann's formula - Clean and add generalization to MIMO systems
 * Kalman decomposition
 * Starred transform
 * Transfer function
 * Inerter (mechanical networks) - Add rack and pinion model

Digital systems

 * Phase detector - Add figure for phase detection using flip-flops (see http://www.analog.com/media/en/training-seminars/tutorials/MT-086.pdf.
 * Latch symbol: https://commons.wikimedia.org/wiki/File:Inverted_SR_latch_symbol.png)
 * Charge pump circuit: Charge pump

General mathematics

 * Hilbert's fourth problem - Add illustration of Pogorelov's theorem (e.g. https://www.youtube.com/watch?v=tVLmVU0iAcs)
 * Newton's method - Add information about Smale alpha theory (See http://cswiercz.info/2016/01/20/narc-talk.html for a good overview)
 * Puiseux series - Add figure to illustrate the use of Newton-Puiseux theorem (See http://demonstrations.wolfram.com/NewtonPolygonAndBranchingOfAlgebraicCurves/)
 * Topological complexity - Add information about applications on robotics
 * Matrix pencil
 * Polynomial matrix
 * Riemann–Roch theorem
 * Add information about Riemann-Roch theorem for graphs (see https://mattbaker.blog/2013/10/18/riemann-roch-for-graphs-and-applications/ and also Dollar Game numberphile video)
 * See also http://demonstrations.wolfram.com/GaussBonnetAndPoincareHopfForGraphs/
 * Fuchs' theorem - Add cases according to the solutions of indicial equation (see http://www.mat.univie.ac.at/~gerald/ftp/book-ode/)
 * Jacobian conjecture - Add Gale-Nikaido result and clean references
 * Homoclinic connection - Add figure to show homoclinic tangle and connection with Smale horseshoe (see https://link.springer.com/article/10.1007/s00332-012-9162-1)
 * Pestov–Ionin theorem - (See https://arxiv.org/pdf/1603.02080.pdf)
 * Tammes problem - Add solutions (see French version)
 * Khintchine inequality - Add applications (see http://homepage.univie.ac.at/immanuel.bomze/files/29.6.09Man-ChoSo.pdf)
 * Kronecker product - Add section about Kronecker quotient (https://pdfs.semanticscholar.org/b03d/d6a7c3700eb4a98949b25a84aaea046950d2.pdf)
 * Pseudo-arc - Add figures for limit construction (see https://johncarlosbaez.wordpress.com/2017/11/27/a-universal-snake-like-continuum/)
 * Residue theorem - Add contour figure
 * Special functions - Add a diagram with relations between special funcions?
 * Dominated convergence theorem - Add Ascoli version for Riemann integral? (see https://noncommutativeanalysis.wordpress.com/2014/05/11/the-dominated-convergence-theorem-for-the-riemann-and-the-improper-riemann-integral-measure-theory-is-a-must-part-ii/)
 * Numerical algebraic geometry
 * Numerical continuation
 * System of polynomial equations - Add applications (kinematic synthesis, cryptography, sudoku solving, computer vision, etc.)
 * Unit doublet - See https://math.stackexchange.com/questions/9511/rigorous-definition-of-convolution-with-the-unit-doublet
 * Transportation theory (mathematics) - See the papers and the book:
 * https://publications.mfo.de/handle/mfo/1332
 * https://optimaltransport.github.io/book/
 * Zabreiko lemma - See:
 * https://math.blogoverflow.com/2014/06/25/zabreikos-lemma-and-four-fundamental-theorems-of-functional-analysis/
 * https://de.wikipedia.org/wiki/Lemma_von_Zabreiko
 * Fubini's nightmare - See https://link.springer.com/article/10.1007%2FBF03024428

Misc.

 * BTRON - Add info and images (see http://www.btron-club.org/link.html)
 * Water integrator
 * Elevador Lacerda - See Portuguese page
 * Ihatovo Monogatari
 * Poisson's ratio - Add remark about half-auxetic materials (see https://pubs.acs.org/doi/10.1021/acs.nanolett.0c04154)

To translate

 * マリア 君たちが生まれた理由
 * マッドメン (漫画)
 * ブラックジャックによろしく

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