Timeline for Applications of complex exponential
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Jan 18, 2022 at 1:05 | comment | added | LSpice | @KyleMiller, is a complex number of large magnitude called "jinormous"? 😄 | |
| Jan 17, 2022 at 3:18 | comment | added | Kyle Miller | I've heard engineering students refer to them as the "jimaginary numbers." | |
| Jan 16, 2022 at 23:42 | comment | added | LSpice | $j$ is the "engineer's imaginary". | |
| Jan 16, 2022 at 23:31 | history | edited | Fallen Apart | CC BY-SA 4.0 |
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| Jan 16, 2022 at 23:23 | history | edited | Fallen Apart | CC BY-SA 4.0 |
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| Jan 16, 2022 at 23:22 | comment | added | Fallen Apart | @JulesLamers O, I missed that. My bad, very thanks for pointing this out | |
| Jan 16, 2022 at 23:21 | comment | added | Jules Lamers | Sorry, I just meant that $w$ is the 'window', $\omega$ a variable (as the notation suggests) | |
| Jan 16, 2022 at 23:19 | comment | added | Fallen Apart |
@JulesLamers Yeah, It can be just rectangular window, but usually one adds additional smoothing. Here you can browse various windows: en.wikipedia.org/wiki/… The notation is consistent with the formula in my answer. Regarding $j$, I saw this notation few times; one interesting fact is that in python imaginary unit is in fact denoted by j. Thus, if you write in python 1.0 + 1.0j it will treat it as $1+i$.
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| Jan 16, 2022 at 23:05 | comment | added | Jules Lamers | Lest anyone else wonders -- from the linked Wikipedia page I gather that the function $w$ in the (sort of) convolution is the "smoothing window", and $j=\sqrt{-1}$ (I never saw that notation before beyond the context of quaternions). | |
| Jan 16, 2022 at 16:16 | history | edited | Fallen Apart | CC BY-SA 4.0 |
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| Jan 16, 2022 at 16:06 | history | edited | Fallen Apart | CC BY-SA 4.0 |
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| Jan 16, 2022 at 16:01 | history | edited | Fallen Apart | CC BY-SA 4.0 |
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| Jan 16, 2022 at 15:54 | history | answered | Fallen Apart | CC BY-SA 4.0 |