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
edit- 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
Articles I wish to improve
editOn control theory
edit- 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:
- 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
edit- 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#/media/File:ChargePumpPLLCircuit.svg
General mathematics
edit- Hilbert's fourth problem#Pogorelov's theorem - 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#An infinite sum - 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:
- Zabreiko lemma - See:
- Fubini's nightmare - See https://link.springer.com/article/10.1007%2FBF03024428
Misc.
edit- 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)