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Potential of a polygonal prism and lamina; Takakuchu men no potential

Abstract

With the use of rectangular coordinates O-XYZ, the potential of a calculation point P is expressed in the form of a triple repeated integral of a density {sigma} at point Q in the mass. The potential at the density {sigma} assumed to be 1 is named the potential of a polygonal prism. Further, a double repeated integral with an integral concerning Z removed from the triple integral is named the potential of polygonal lamina. This potential can be expressed in a quadratic form (linear form) with 2nd order partial derivative (1st order partial derivative) as a coefficient. On the contrary, in order to extract the 1st/2nd order partial derivatives from this potential by partial differential, it requires partial differentiation with these partial derivatives considered to be a constant. The reason that they can be realized is attributable to the zero result of the linear form which has as the coefficient a 3rd order partial derivative concerning the variable of integration in a primitive function. If this relation is used, the integral calculation and description may be simplified. An explanation was given with examples enumerated so that these conditions might be understood.
Authors:
Publication Date:
May 01, 1996
Product Type:
Conference
Report Number:
CONF-9605233-
Reference Number:
SCA: 440700; PA: NEDO-96:913503; EDB-96:172454; SN: 96001687110
Resource Relation:
Conference: 94. SEGJ (The Society of Exploration Geophysicists of Japan) Conference, Butsuri tansa gakkai dai 94 kai (1996 nendo shunki) gakujutsu koenkai, Tokyo (Japan), 15-17 May 1996; Other Information: PBD: May 1996; Related Information: Is Part Of Proceedings of the 94th SEGJ (The Society of Exploration Geophysicists of Japan) Conference; PB: 475 p.; Butsuri tansa gakkai dai 94 kai (1996 nendo shunki) gakujutsu koenkai koen ronbunshu
Subject:
44 INSTRUMENTATION, INCLUDING NUCLEAR AND PARTICLE DETECTORS; POTENTIALS; PRISMATIC CONFIGURATION; SURFACES; CARTESIAN COORDINATES; INTEGRAL CALCULUS; DIFFERENTIAL CALCULUS; DENSITY; PARTIAL DIFFERENTIAL EQUATIONS
OSTI ID:
395540
Research Organizations:
Society of Exploration Geophysicists of Japan, Tokyo (Japan)
Country of Origin:
Japan
Language:
Japanese
Other Identifying Numbers:
Other: ON: DE97709027; TRN: 96:913503
Availability:
Available from The Society of Exploration Geophysicists of Japan, 2-18, Nakamagome 2-chome, Ota-ku, Tokyo, Japan; OSTI as DE97709027
Submitting Site:
NEDO
Size:
pp. 335-339
Announcement Date:

Citation Formats

Koyama, S. Potential of a polygonal prism and lamina; Takakuchu men no potential. Japan: N. p., 1996. Web.
Koyama, S. Potential of a polygonal prism and lamina; Takakuchu men no potential. Japan.
Koyama, S. 1996. "Potential of a polygonal prism and lamina; Takakuchu men no potential." Japan.
@misc{etde_395540,
title = {Potential of a polygonal prism and lamina; Takakuchu men no potential}
author = {Koyama, S}
abstractNote = {With the use of rectangular coordinates O-XYZ, the potential of a calculation point P is expressed in the form of a triple repeated integral of a density {sigma} at point Q in the mass. The potential at the density {sigma} assumed to be 1 is named the potential of a polygonal prism. Further, a double repeated integral with an integral concerning Z removed from the triple integral is named the potential of polygonal lamina. This potential can be expressed in a quadratic form (linear form) with 2nd order partial derivative (1st order partial derivative) as a coefficient. On the contrary, in order to extract the 1st/2nd order partial derivatives from this potential by partial differential, it requires partial differentiation with these partial derivatives considered to be a constant. The reason that they can be realized is attributable to the zero result of the linear form which has as the coefficient a 3rd order partial derivative concerning the variable of integration in a primitive function. If this relation is used, the integral calculation and description may be simplified. An explanation was given with examples enumerated so that these conditions might be understood.}
place = {Japan}
year = {1996}
month = {May}
}