SVD-разложение и его практические приложения с исходным кодом на языке Matlab.
(SVD - decomposition and its practical applications with source code in the language Matlab.
We present a geometric proof of the addition formulas for the hyperbolic sine and cosine functions, using elementary properties of linear transformations.
"(Infinite) series are the invention of the devil, by using them, on
may draw any conclusion he pleases, and that is why these series
have produced so many fallacies and so many paradoxes."
-Neils Hendrik Abel
Based on the paper Sometimes Newton's Method Cycles, we first asked ourselves if there were any Newtonian Method Cycle functions which have non-trivial guesses. We encountered a way to create functions that cycle between a set number of points with any initial, non-trivial guesses when Newton's Method is applied. We exercised these possibilities through the methods of 2-cycles, 3-cycles and 4-cycles. We then generalized these cycles into k-cycles. After generalizing Newton's Method, we found the conditions that skew the cycles into a spiral pattern which will either converge, diverge or become a near-cycle. Once we obtained all this information, we explored additional questions that rose up from our initial exploration of Newton's Method.
Exemple de rapport pour les TIPE (Travaux d'Initiative Personnelle Encadrés) pour les concours d'entrée aux écoles d'ingénieurs à partir de la session 2017.
Il y a surtout des exemples sur les différentes manières de composer des équations ainsi que comment introduire des portions de code Python pour illustrer son propos.
NB: le script TeXcount pourra vous être utile car il permet de compter les mots utilisés dans chaque section d'un document LaTeX. Vous en trouverez une version en ligne à l'adresse
http://app.uio.no/ifi/texcount/online.php
Il suffit d'y copier l'ensemble du document (via Ctrl-A/Ctrl-C puis Ctrl-V dans la fenêtre idoine) pour obtenir le récapitulatif tout en bas de la page qui s'ouvre alors.
(You can also get the word count in Overleaf by clicking on "Word Count" at the top of the file list panel.)