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Q: Prove that a finite integral domain is a field?
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Is every field an integral domain?

Yes, every field is an integral domain.


The number of elements of a principal ideal domain can be?

The number of elements of a pid may be finite or countably infinite...or infinite also....but a finite field is always a pid


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In finite element analysis, a field variable represents a physical quantity that varies over the domain of the finite element mesh. Examples include displacement, temperature, stress, and strain. Field variables are computed at specific points within each element and are used to describe the behavior of the system being analyzed.


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correct.


What is the surface integral of electric field?

The surface integral of the electric field is the flux of the electric field through a closed surface. Mathematically, it is given by the surface integral of the dot product of the electric field vector and the outward normal vector to the surface. This integral relates to Gauss's law in electrostatics, where the total electric flux through a closed surface is proportional to the total charge enclosed by that surface.


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A line integral can evaluate scalar and vector field functions along a curve/path. When applied on vector field, line integral is considered as measure of the total effect of the vector field along a specific curve whereas in scalar field application, the line integral is interpreted as the area under the field carved out by a particular curve.Line integral has many applications in physics. In mechanics, line integral is used to determine work done by a force in moving an object along a curve. In circuit analysis, it is used for calculating voltage.


What has the author Vincent Uriel Muirhead written?

Vincent Uriel Muirhead has written: 'Flow field around a finite cone with shock' -- subject(s): Aeronautics 'Flow field around a finite cone with shock' -- subject(s): Aeronautics 'Flow field around a finite cone with shock' -- subject(s): Aeronautics


What is the range of the function y x2 2x 4.?

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What represent the surface integral of electric field intensity?

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What is a synonym for domain?

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The study of the composition and structure of mater is the domain of which field of science?

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Is Rachel Field's poem The General Store in the public domain?

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