Harmonic series in geodesy

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43972498" target="_blank" >RIV/49777513:23520/24:43972498 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/referenceworkentry/10.1007/978-3-319-02370-0_61-1" target="_blank" >https://link.springer.com/referenceworkentry/10.1007/978-3-319-02370-0_61-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-02370-0_61-1" target="_blank" >10.1007/978-3-319-02370-0_61-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Harmonic series in geodesy

Popis výsledku v původním jazyce

A square-integrable function, defined on a surface that has a one-to-one correspondence with the unit sphere, may be represented as a linear combination of surface spherical harmonic functions. Numerical coefficients in this linear combination can be estimated by a process called harmonic analysis. In contrary, the function can be recovered at any point using the numerical coefficients and the harmonic series by a process called harmonic synthesis. Moreover, harmonic functions, by definition satisfying Laplace’s differential equation in the 3-D space, can be represented by a series of solid harmonic functions. Alternatively, considering the shape of the Earth and other bodies in space, ellipsoidal harmonic functions can be used for the same purpose. In geodesy, harmonic series plays an important role in representation of global functions and formulation of solutions to boundary-value problems of potential theory.

Název v anglickém jazyce

Harmonic series in geodesy

Popis výsledku anglicky

A square-integrable function, defined on a surface that has a one-to-one correspondence with the unit sphere, may be represented as a linear combination of surface spherical harmonic functions. Numerical coefficients in this linear combination can be estimated by a process called harmonic analysis. In contrary, the function can be recovered at any point using the numerical coefficients and the harmonic series by a process called harmonic synthesis. Moreover, harmonic functions, by definition satisfying Laplace’s differential equation in the 3-D space, can be represented by a series of solid harmonic functions. Alternatively, considering the shape of the Earth and other bodies in space, ellipsoidal harmonic functions can be used for the same purpose. In geodesy, harmonic series plays an important role in representation of global functions and formulation of solutions to boundary-value problems of potential theory.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10508 - Physical geography

Projekt

<a href="/cs/project/GA21-13713S" target="_blank" >GA21-13713S: Odhady nejistot pro integrální transformace v geodézii</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Encyclopedia of Geodesy

ISBN

978-3-319-02370-0

Počet stran výsledku

7

Strana od-do

1-7

Počet stran knihy

1000

Název nakladatele

Springer Verlag

Místo vydání

Cham, Switzerland

Kód UT WoS kapitoly

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