query: Use the Inverse Fourier transform to show the Dirac-Delta function as a limit of the sinc function
positive_passages.docid: 151977
positive_passages.text: Dirac delta function as a limit of sinc function
negative_passages.docid: 68830
negative_passages.text: How to prove that $\lim\limits_{\epsilon\rightarrow 0}\int_{-\infty}^{\infty}f_\epsilon(x)g(x)dx=g(0)$ (Dirac delta function))
negative_passages.docid: 105790
negative_passages.text: What is the Fourier Transform of $f'(x)/x$
negative_passages.docid: 77669
negative_passages.text: Limits of trig functions
negative_passages.docid: 26562
negative_passages.text: Inverse of $f(x)=\sin(x)+x$
negative_passages.docid: 69207
negative_passages.text: Approximating the locations of the extrema of the sinc function
negative_passages.docid: 52943
negative_passages.text: How to show $\lim_{\epsilon \rightarrow 0} \frac{\epsilon}{x^2+\epsilon ^2} = \pi \delta (x)$?
negative_passages.docid: 87824
negative_passages.text: How to derive inverse hyperbolic trigonometric functions
negative_passages.docid: 79132
negative_passages.text: Fourier transform of modified Bessel function of the second kind
negative_passages.docid: 108917
negative_passages.text: Use $\delta-\epsilon$ to show that $\lim_{n\to\infty} a^{\frac{1}{n}} = 1$?
negative_passages.docid: 55713
negative_passages.text: Dirac delta in polar coordinates
negative_passages.docid: 47572
negative_passages.text: Evaluate $ \sum_{n=1}^{\infty} \frac{\sin \ n}{ n } $ using the fourier series
negative_passages.docid: 39364
negative_passages.text: Calculate the Fourier transform of $b(x) =\frac{1}{x^2 +a^2}$
negative_passages.docid: 64628
negative_passages.text: Solving limits of a sine wave $\lim_{x\to+\infty}\frac{\sin(x)}{x}$
negative_passages.docid: 152106
negative_passages.text: Laplace inverse of the sine function
negative_passages.docid: 24076
negative_passages.text: Evaluating limit (iterated sine function)
negative_passages.docid: 91257
negative_passages.text: Fourier basis functions