Should they be using the normal differentiation operator " d "?
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In mathematics, a "'differential operator "'is an differentiation operator.
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The phrase " Non-Newtonian calculus " was invented by Grossman and Katz, but the concept of alternative differentiation operators is an old idea.
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*"'Keep "': The idea of conjugating the differentiation operator by the exponential function ( or some other useful function ) sounds interesting to me.
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In the following, is the space of distributions, is the space of tempered distributions in, the differentiation operator with a multi-index, and \ widehat { v } is the Fourier transform of.
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It has the interpretation, for example, of adjoining a formal inverse " D " & minus; 1 for a differentiation operator D . This is done in many contexts in methods for differential equations.
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We know from maxwells equations for time varying that Div X H = J + ? D / ? t and Div X E =-? B / ? t . . . . . " ? " stands for del, partial differentiation operator . But in first equation J = dI / dS or current density stands for the rate of change of charge q . So should not there be an analogous quantity in the second equation which stands for magnetic dipoles density applicable only to conductors say M = ? m / ? s or magnetic dipoles per unit area cross section ? because guess first equation can be viewed with q in mind in the similar manner ..
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