منابع مشابه
Harmonic Analysis
Analysis in general tends to revolve around the study of general classes of functions (often real-valued or complex-valued) and operators (which take one or more functions as input, and return some other function as output). Harmonic analysis focuses in particular on the quantitative properties of such functions, and how these quantitative properties change when apply various (often quite expli...
متن کاملHarmonic Analysis
We use τK to denote the topology of DK (Ω) equipped with such metric. The topology of D (Ω) can be defined precisely. Let β be the collection of all convex balanced sets W ⊂ D (Ω) such that DK (Ω) ∩ W ∈ τK for every compact K ⊂ Ω. Let τ be the collection of all unions of sets of the form φ+W with φ ∈ D (Ω) and W ∈ β. Theorem 1. τ is a topology in D (Ω) and β is a local base for τ . The topology...
متن کاملDynamic Harmonic Modeling and Analysis of VSC-HVDC Systems
Harmonics have become an important issue in modern power systems. The widespread penetration of non-linear loads to emerging power systems has turned power quality analysis into an important operation issue under both steady state and transient conditions. This paper employs a Dynamic Harmonic Domain (DHD) based framework for dynamic harmonic analysis of VSC-HVDC systems. These systems are wide...
متن کاملPhysical Nonlinear Analysis of a Beam Under Moving Harmonic Load
A prismatic beam made of a behaviorally nonlinear material is analyzed under aharmonic load moving with a known velocity. The vibration equation of motion is derived usingHamilton principle and Euler-Lagrange Equation. The amplitude of vibration, circular frequency,bending moment, stress and deflection of the beam can be calculated by the presented solution.Considering the response of the beam,...
متن کاملMartingales and Harmonic Analysis
A function f : Ω→ R is called F -measurable if f−1(B) := {f ∈ B} := {ω ∈ Ω : f(ω) ∈ B} ∈ F for all Borel sets B ⊆ R. Denote by F 0 the collection of sets in F with finite measure, i.e., F 0 := {E ∈ F : μ(E) <∞}. The measure space (Ω,F , μ) is called σ-finite if there exist sets Ei ∈ F 0 such that ⋃∞ i=0Ei = Ω. If needed, these sets may be chosen to additionally satisfy either (a) Ei ⊆ Ei+1 or (...
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ژورنال
عنوان ژورنال: Nature
سال: 1915
ISSN: 0028-0836,1476-4687
DOI: 10.1038/095204a0