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- 31 bytes (3 words) - 04:08, 27 January 2005
- In [[mathematics]], '''Radó's theorem''' is a result about [[harmonic function]]s, named after [[Tibor Radó]]. Informally, it says that any "nice μ : ∂'''D''' → ∂Ω, there exists a unique harmonic function ''u'' : '''D''' → Ω such that ''u'' = μ on ∂'''D''' and ''u'' is a ...1,016 bytes (133 words) - 15:15, 24 August 2022
Page text matches
- '''Harmonic motion''' can mean: ...motion that can be expressed in terms of sine or cosine functions known as harmonic motion . ...624 bytes (81 words) - 17:25, 3 November 2022
- {{Other uses|Harmonic (disambiguation)}} ...erm "harmonic" is applied when one is considering [[Function (mathematics)|functions]] with [[Sine wave|sinusoidal]] variations, or solutions of [[Laplace's equ ...1 KB (149 words) - 22:09, 14 December 2022
- ===[[Harmonic analysis]]=== ===[[Harmonic function]]s=== ...3 KB (292 words) - 19:08, 14 September 2024
- In [[mathematics]], a function <math>f</math> is '''weakly harmonic''' in a domain <math>D</math> if ...ic. Thus weakly harmonic is actually equivalent to the seemingly stronger harmonic condition. ...1 KB (161 words) - 16:50, 21 June 2023
- ...lso a related [[Harmonic functions#Liouville's theorem|theorem on harmonic functions]] ...1 KB (120 words) - 14:21, 25 February 2021
- ==Bôcher's theorem for harmonic functions== ...open domain minus one point in the interior) is a linear combination of a harmonic function in the unpunctured domain with a scaled [[fundamental solution]] f ...2 KB (336 words) - 18:29, 19 June 2025
- In [[mathematics]], '''Radó's theorem''' is a result about [[harmonic function]]s, named after [[Tibor Radó]]. Informally, it says that any "nice μ : ∂'''D''' → ∂Ω, there exists a unique harmonic function ''u'' : '''D''' → Ω such that ''u'' = μ on ∂'''D''' and ''u'' is a ...1,016 bytes (133 words) - 15:15, 24 August 2022
- This is a '''list of [[harmonic analysis]] topics'''. See also [[list of Fourier analysis topics]] and [[li **[[Orthogonal functions]] ...3 KB (246 words) - 12:10, 30 October 2023
- ...atics]], [[engineering]], [[science]], and financial analysis, marketed by Harmonic Software. The language is designed for use in [[high-performance computin ...statistical, engineering and visualization functions. The set of analysis functions is designed for development of complex, computationally intensive scientifi ...1 KB (180 words) - 10:39, 23 March 2021
- * The class of functions known as [[harmonic function]]s, which are the topic of study in [[potential theory]] ...674 bytes (95 words) - 04:10, 15 February 2023
- {{for|geometric conjugate points|Projective harmonic conjugate}} ...f the definition, they are both [[harmonic function|harmonic]] real-valued functions on <math>\Omega</math>. Moreover, the conjugate of <math>u,</math> if it ex ...6 KB (1,037 words) - 08:00, 9 March 2025
- {{Short description|Theorem regarding the convergence of harmonic functions.}} ...[Harnack's inequality]] which deals with the convergence of sequences of [[harmonic function]]s. ...4 KB (639 words) - 02:57, 22 January 2024
- ...' − 1, and to minimize the residual [[variance]]. That is, the basis functions are chosen to be different from each other, and to account for as much vari ...ally uses predetermined orthogonal functions, for example, sine and cosine functions at fixed [[frequency|frequencies]]. In some cases the two methods may yield ...3 KB (457 words) - 18:10, 29 February 2024
- ...st.org/cgi/pt?id=coo.31924060893355;view=1up;seq=203 On the application of harmonic analysis to the dynamical theory of the tides. Part II. On the general inte ...e expressed as an infinite sum of [[associated Legendre polynomials]]; the functions are [[orthogonal]] over the sphere in the continuous case. Thus they can al ...3 KB (370 words) - 05:02, 17 February 2024
- {{Short description|Harmonic functions as solutions to Laplace's equation}} ...s]] and [[mathematical physics]], '''potential theory''' is the study of [[harmonic function]]s. ...10 KB (1,426 words) - 10:40, 13 March 2025
- ...on to the biharmonic equation is called a '''biharmonic function'''. Any [[harmonic function]] is biharmonic, but the converse is not always true. ...h>w(x,y)</math> are [[harmonic functions]] and <math>v(x,y)</math> is a [[harmonic conjugate]] of <math>u(x,y)</math>. ...4 KB (639 words) - 06:08, 25 June 2025
- ...(interprocess communication)#Support on Unix-like systems|shared memory]] functions in Unix-like systems (shmat, shmctl, etc.) *[[Simple harmonic motion]], in physics ...714 bytes (85 words) - 22:05, 15 May 2024
- {{Short description|Functions used by the continuous wavelet transform}} ...transform]]. These functions are defined as [[analytical expression]]s, as functions either of time or of frequency. ...2 KB (260 words) - 03:37, 12 November 2024
- ...s the branch of [[mathematics]] that investigates [[Function (mathematics)|functions]] of [[complex numbers]]. It is useful in many branches of mathematics, inc * [[Complex functions]] ...5 KB (484 words) - 09:24, 23 July 2024
- ...al equation]], a differential equation that contains unknown multivariable functions and their partial derivatives ...of which a complex tone is composed in a [[Harmonic series (music)#Partial|harmonic series]] ...2 KB (217 words) - 14:39, 14 October 2023