Gallery — Math

Gallery Items tagged Math

Show all Gallery Items

Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum
Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum
The differential wave equation can be used to describe electromagnetic waves in a vacuum. In the one dimensional case, this takes the form $\frac{\partial^2\phi}{\partial x^2}-\frac{1}{c^2}\frac{\partial^2\phi}{\partial t^2} = 0$. A general function $f(x,t) = x \pm ct$ will propagate with speed c. To represent the properties of electromagnetic waves, however, the function $\phi(x,t) = \phi _0 sin(kx-\omega t)$ must be used. This gives the Electric and Magnetic field equations to be $E (z,t) = \hat{x} E _0 sin(kz-\omega t)$ and $B (z,t) = \hat{y} B _0 sin(kz-\omega t)$. Using this solution as well as Maxwell's equations the relation $\frac{E_0}{B_0} = c$ can be derived. In addition, the average rate of energy transfer can be found to be $\bar{S} = \frac{E_0 ^2}{2 c \mu _0} \hat{z}$ using the poynting vector of the fields.
Eric Minor
FSU-MATH2300-Project2
FSU-MATH2300-Project2
A second project for Calculus 1 at Fitchburg State. Explore the proofs of some of the derivative rules and derive new rules from old.
Sarah Wright
Handleiding voor RSA-krakers
Handleiding voor RSA-krakers
Achter de ontdekking van de RSA-codes zit heel wat mooie wiskunde, voornamelijk uit de getaltheorie. De wiskundige die onbewust hebben bijgedragen tot de ontdekking van de RSA-codes zijn Eratosthenes, Euclides, Fermat, Euler, Gauss, Bezout en Bachet. De wiskundigen die de RSA-codes bewust hebben ontdekt zijn Rivest, Shamir en Adleman. In deze cursus laten we zien welke bijdrage al deze wiskundigen hebben geleverd aan de codetheorie. We leggen eveneens uit hoe het RSA-codes-mechanisme werkt en hoe deze codes worden gekraakt. De softwarepakketten die hiervoor gebruikt worden zijn Derive (voor het didactische aspect) en Sage (voor de rekenkracht en voor het programmatorisch aspect)
Van den Broeck Luc
Cp1 :2005
Cp1 :2005
Primeiras questões respondidas do banco de Cálculo 1 da UFAL.
Antônio Marcos Barbosa
On the link between finite difference and derivative of polynomials
On the link between finite difference and derivative of polynomials
The main aim of this paper to establish the relations between forward, backward and central finite (divided) differences (that is discrete analog of the derivative) and partial & ordinary high-order derivatives of the polynomials.
Kolosov Petro
Why it's good that Soulstealer Vayne is so hard to get - a statistical Analysis
Why it's good that Soulstealer Vayne is so hard to get - a statistical Analysis
I analyzed the Hextech-Crafting in a Stochastic Simulation with 10 Million Players and found that you're going to make more Riot Points than you spend (in value) and thats without counting Champs. I've made some assumptions, which can be found down in the paper itself for those interested. For everyone else: If you're trying to maximize your RP-Net-Worth stack up on Hextech Chests.
WORST BRUISER EU
Extra Credit Problem
Extra Credit Problem
*
William Slatton
Lagrange's Theorem
Lagrange's Theorem
Lagrange's Theorem
Shateil French
CT Problem Set
CT Problem Set
CT problem set for undergraduate Medical Physics course.
David Rigie

Related Tags

PortugueseBibliographyHandoutBosnianHomework AssignmentInternational LanguagesTikZCommentingUniversityFontsAlgorithmTablesCzechDynamic FiguresPosterTufteQuiz, Test, ExamConference PaperConference PresentationRésumé / CVElectronicsTutorialPhysicsNewsletterSource Code ListingSwedishFrenchPortuguese (Brazilian)GreekGetting StartedePubResearch DiaryEssayExamSpanishGermanLuaLaTeXBrochureProject / Lab ReportBookAcademic JournalPresentationCambridge UniversityKoreanPolishMatricesBoise State UniversityFinnishBeamerXeLaTeXArabicMATLABChartsTwo-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 UniversityTurkishRoyal Statistical SocietySlovakUniversity of PennsylvaniaHungarianUniversity of WaterlooSociety for Industrial and Applied Mathematics