Alfred Centauri
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 Mar24 awarded Autobiographer Aug19 comment Integrating a Dirac delta function with the argument dependent of a parameter Suppose that $x(t) = D$ once over the interval of integration. Now, suppose that $x(t) = D$ n times over the interval. But, now suppose that $x(t) = D$ over a continuous subset of the interval... Apr15 comment Is there any distinction between these products: scalar, dot, inner? @garyp, this is the section I recall from Schutz: books.google.com/… Apr15 comment Is there any distinction between these products: scalar, dot, inner? @garyp, without a metric, there is no mapping between $\vec A$ and $\tilde A$. So, while $\tilde A(\vec B)$ exists, $\vec A \cdot \vec B$ does not. Apr14 comment Is there any distinction between these products: scalar, dot, inner? @jinawee, correct, $\mathbf g(\vec A,) = \tilde A$ Apr14 comment Is there any distinction between these products: scalar, dot, inner? I believe I read in Schutz that the contraction of a vector and co-vector (one-form), $\tilde p(\vec A)$ does not require the intervention of a metric whereas the dot product of two vectors $\vec A \cdot \vec B = \mathbf g(\vec A, \vec B) = \tilde A(\vec B)$ does Dec9 awarded Yearling Nov19 answered Prime notation in integral? Nov19 comment Prime notation in integral? Nov12 answered The Concept of Instantaneous Velocity Oct18 answered How can I find the value of $\ln( |x|)$ without using the calculator? Oct7 awarded Supporter Sep20 comment The inverse Fourier transform of $1$ is Dirac's Delta @Vibert, I've edited my answer to reflect your suggestion. Sep20 answered The inverse Fourier transform of $1$ is Dirac's Delta Jul18 awarded Teacher Jul18 answered Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$