Gallery — Math

Gallery Items tagged Math

Show all Gallery Items

Forced Van Der Pol's Equation
Forced Van Der Pol's Equation
This work is going to analyze the Forced Van Der Pol's Equation which is used to analyze the electric circuit. In 1927, Balthasar Van Der Pol observed the stable oscillation and heard some irregular noise in vacuum tube circuit. He then proposed the Forced Van Der Pol's Equation to analyze the circuit and suggested the concept of limit cycle and Chaos to explain his observation. In this work, We would like to analyze behavior of the model by observing the phase space, time series, bifurcation diagram and power spectrum. Those points in the figures are calculated by Runge-Kutta Method with the aid of MATLAB. For a better understanding, the RLC circuit, which is a electric circuit consisting the a resistor, an inductor and a capacitor, will be used as an example for explaining the properties. Apart from electric circuit, the Forced Van Der Pol's Equation can be applied to dynamic systems in different aspect, such as the artificial heart, economic market and so on. Therefore, we suggest this work to all students since the Forced Van Der Pol's Equation can be applied to many majors, like Mathematics, Physics, Economics, Sociology, Biology, Engineering and so on.
Wallace, Homer
On the quantum differentiation of smooth real-valued functions
On the quantum differentiation of smooth real-valued functions
Calculating the value of Ck ∈ {1, ∞} class of smoothness real-valued function's derivative in point of R+ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and q-difference operator. (P,q)-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using q-difference and p,q-power difference is shown.
Kolosov Petro
Übung: Lineare Gleichungsysteme
Übung: Lineare Gleichungsysteme
Übung: Lineare Gleichungssysteme
Dmitrij Moreinis
Math 392A Overleaf Form
Math 392A Overleaf Form
HoTT
Parikshit Khanna
The summation of all prime numbers
The summation of all prime numbers
A proof is given that the summation of all prime numbers can be assigned the value of 13/12, as well as values that can be assigned to the summation of all multiples and all odd multiples.
Fernando Franco Félix
When Area and Perimeter are “Equal”
When Area and Perimeter are “Equal”
Various geometrical shapes are described, for which the numerical value of the perimeter is the same as that of the area. Cases of one or two parameters are explored.
Rick Powers
Estudio del decaimiento α mediante los métodos WKB y diferencias finitas
Estudio del decaimiento α mediante los métodos WKB y diferencias finitas
Se pretende describir el decaimiento de una partícula α encontrando los niveles de energía Eα correspondientes a los estados ligados de la partícula producto de la desintegración. Los niveles de energía y los estados ligados se encuentran mediante dos métodos de aproximación: WKB y diferencias finitas. Posteriormente se halla el tiempo de vida medio τ, se comparan los resultados con los de la literatura y se decide el mejor método de solución acorde con la literatura.
John Erick Cabrera and David Leonardo Ricaurte

Related Tags

PortugueseRésumé / CVPosterNewsletterHandoutTufteBosnianResearch DiaryInternational LanguagesTikZCommentingBibliographyUniversityFontsHomework AssignmentQuiz, Test, ExamAlgorithmTablesCzechDynamic FiguresConference PaperConference PresentationElectronicsTutorialPhysicsSource Code ListingSwedishFrenchPortuguese (Brazilian)GreekGetting StartedePubEssayExamSpanishGermanLuaLaTeXBrochurePresentationAcademic JournalProject / Lab ReportBookCambridge UniversityKoreanPolishMatricesBoise State UniversityFinnishBeamerXeLaTeXArabicChartsMATLABTwo-columnUniversity of Texas at AustinRomanianUniversity of ReadingJapaneseIEEE (all)Worcester Polytechnic Institute (WPI)Universidade Federal do Rio Grande do SulVietnameseChineseFractalsIndian Institute of Technology MadrasUniversidade de São PauloCatalanCardiff UniversityFlorida State UniversityBloomsburg University of PennsylvaniaPontificia Universidad Católica de ChileRussianMoscow Aviation InstitutediacrTechResearch ProposalUniversidad Tecnológica de BolívarAmerican Physical Society (APS)PuzzleJournal of Statististical SoftwareLecture NotesUniversidad Nacional Autónoma de HondurasInstituto de Matemática e Estatística (IME-USP)DutchCheat sheetAdelphi UniversityWileyIcelandicUniversidade Federal de Ouro PretoAstronomy & AstrophysicsMasaryk UniversityWelshDePaul UniversityBahasa IndonesiaTurkishRoyal Statistical SocietySlovakUniversity of PennsylvaniaHungarianUniversity of WaterlooSociety for Industrial and Applied Mathematics