Forum:General Math F Conservation of charge with Dirac delta Hello, I was reviewing a part related to electromagnetism in which the charge and current densities are defined by the Dirac delta: ##\rho(\underline{x}, t)=\sum_n e_n \delta^3(\underline{x} - \underline{x}_n(t))## #...
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Forum:General Math Dirac delta function in spherical cordinates Homework Statement Calculate ##\int_{r=0}^\inf δ_r (r -r_0)\,dr## Homework Equations ##\int_V \delta^3(\vec{r} - \vec{r}') d\tau = 1## The Attempt at a Solution $$\int_V \delta^3(\vec{r} - \vec{r...
I know I have had the experience of trying to ask this on mathstackexchange and getting a bunch of answers telling me to learn homological algebra and Ext, which is more effort than a poor undergraduate wants to spend to get at a concrete problem. However, I think there is a natural dir...
2 Answers Sorted by: Highest score (default)Date modified (newest first)Date created (oldest first) 2 Suppose that for eachε∈(0,4)ε∈(0,4)there is aδ>0δ>0such that |x−2|<δ⟹|x2−4|<ε.(1)(1)|x−2|<δ⟹|x2−4|<ε. ...
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math quaternions Share Improve this question Follow edited Feb 25, 2015 at 13:17 asked Feb 25, 2015 at 12:53 PolGraphic 3,3441111 gold badges5656 silver badges115115 bronze badges Add a comment 4 Answers Sorted by: 2 so you want to find rx where rx * r0 == r1...
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Effective Number of Bits (ENOB) of the ADC can be determined by the ratio of the signal amplitude to the quantization noise amplitude known as the Signal to Noise Ratio (SNR). Note that I am ignoring all of the other sources of noise and non-linearity for the purposes of this discussion...
2 Answers Sorted by: 6 The definition I learned islimx→yf(x)=climx→yf(x)=c if and only if for every ϵ>0ϵ>0, there is a δ>0δ>0 such that 0<|x−y|<δ0<|x−y|<δ implies |f(x)−c|<ϵ|f(x)−c|<ϵ for all xxThis is still a little bit technical...