## Encyclopedia of Physical Science and Technology, Volume 1 |

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Page 491

I. Green's Theorem and

Operators and

Conversion from Differential to Integral Equation V.

Complex Plane VI.

I. Green's Theorem and

**Green's Functions**in Electrostatics II. HermitianOperators and

**Green's Functions**III. Examples of**Green's Functions**IV.Conversion from Differential to Integral Equation V.

**Green's Functions**in theComplex Plane VI.

Page 493

j dx' G(x. x')fix') (24) w here GU. x ) = 2, , _ , (25) Equation (24) is of the standard

form in Eq. (I) with the

by the

j dx' G(x. x')fix') (24) w here GU. x ) = 2, , _ , (25) Equation (24) is of the standard

form in Eq. (I) with the

**Green's function**given by Eq. (25). The equation satisfiedby the

**Green's function**IS (// - E) Gix, x') = -2 <M*> **(*') = -fi(x - .«') (26) where Eq.Page 495

is a differential operator and the right- hand side depends on y(x) and may even

be a nonlinear function of y(x). If y(x) satisfies linear homogeneous boundary

conditions and if one can find a

conditions, ...

is a differential operator and the right- hand side depends on y(x) and may even

be a nonlinear function of y(x). If y(x) satisfies linear homogeneous boundary

conditions and if one can find a

**Green's function**of -C that satisfies theseconditions, ...

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### Contents

Geosynchronous Spacecraft | 287 |

Fusion Devices Explosive 1 Brij Agrawal | 323 |

Game Theory 37 Glacial Geology | 361 |

Copyright | |

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acid acoustic astatine atoms Bragg Bragg diffraction carbon chemical column combustion complex components composition compounds COS-B crystal cycle deposits detector diffraction distribution earth efficiency electric electron elements energy equation example field flow fluid fluorine formation frequency fuel function fuzzy fuzzy set galaxies gamma rays gas turbine geologic Geomorphology geothermal glacial glacier glass glass-ceramics graph Green's function groundwater halides halogen heat exchanger heterocycles hologram hydrocarbons hydrogen bond ice sheet interaction ions kerogen layers liquid magnetic mass material matrix measured melting ments minerals molecules operation optical orbit oxidation oxygen particles phase pressure produced proton pyridine radiation reaction result rock rotation rotor satellite sedimentary sediments shown in Fig solar solution spacecraft stable streams structure subgroup surface Table temperature thermal tion transducer turbine ture variogram velocity vertices wave waveguide zone