Let f = x? + y² + z² be a zero-form on R. Suppose that P and P2 are two distinct points on a sphere of radius 10. Let S be the set of oriented points S = {(P1,+), (P2, –)}. Evaluate the integral of the zero-form f along S.

Let f = x? + y² + z² be a zero-form on R. Suppose that P and P2 are two distinct points on a sphere of radius 10. Let S be the set of oriented points S = {(P1,+), (P2, –)}. Evaluate the integral of the zero-form f along S.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.

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Question

Let f = x? + y² + z² be a zero-form on R. Suppose that P and P2 are two distinct points on a sphere of radius 10. Let S be the set of oriented points
S = {(P1,+), (P2, –)}.
Evaluate the integral of the zero-form f along S.

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