About: Representation of Waves Using Exponentials   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

It is convenient to represent waves using exponential functions. For example a stationary wave can be described by the function: ψ(x) = Aeikx, where the constant A is a real number. The function ψ(x) can be resolved into its real and imaginary parts using Euler's equation, ei θ = cosθ + isinθ, to obtain ψ(x) = Acos(kx) + iAsin(kx). A travelling stationary wave can be described by exponential function ψ(x),(t) = Aei(kx - ωt) eA + eB = eA + B

AttributesValues
rdfs:label
  • Representation of Waves Using Exponentials
rdfs:comment
  • It is convenient to represent waves using exponential functions. For example a stationary wave can be described by the function: ψ(x) = Aeikx, where the constant A is a real number. The function ψ(x) can be resolved into its real and imaginary parts using Euler's equation, ei θ = cosθ + isinθ, to obtain ψ(x) = Acos(kx) + iAsin(kx). A travelling stationary wave can be described by exponential function ψ(x),(t) = Aei(kx - ωt) eA + eB = eA + B
dcterms:subject
dbkwik:science/pro...iPageUsesTemplate
abstract
  • It is convenient to represent waves using exponential functions. For example a stationary wave can be described by the function: ψ(x) = Aeikx, where the constant A is a real number. The function ψ(x) can be resolved into its real and imaginary parts using Euler's equation, ei θ = cosθ + isinθ, to obtain ψ(x) = Acos(kx) + iAsin(kx). A travelling stationary wave can be described by exponential function ψ(x),(t) = Aei(kx - ωt) The exponential function has mathematical properties, which makes it more convenient to use than trigonometric functions. For instance the product of an exponential function eA and a second exponential function eB can be evaluated by simply adding the exponents: eA + eB = eA + B
Alternative Linked Data Views: ODE     Raw Data in: CXML | CSV | RDF ( N-Triples N3/Turtle JSON XML ) | OData ( Atom JSON ) | Microdata ( JSON HTML) | JSON-LD    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3217, on Linux (x86_64-pc-linux-gnu), Standard Edition
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2012 OpenLink Software