If you have any questions, please ask. I love yapping.

yap

Let’s say we have some periodic function f. The goal is to represent it as a bunch of sine waves. This is called a Fourier series (FS).

The FS coefficients are given by

            ⌠2⋅π
         1  ⎮         -i⋅k⋅x
f̂(k) =  ─── ⎮   f(x)⋅e       dx
        2⋅π ⌡0

for whole numbers k. We can then approximate the original function with

  n
 ___
 ╲          -i⋅k⋅x
 ╱    f̂(k)⋅e
 ‾‾‾
k = -n

and make the approximation better by making n larger.

For non-periodic functions, we can still get an approximation! The Fourier Transform (FT) uses a continuous range of frequencies instead of whole numbers, and the sum is replaced by an integral (the inverse FT).

FT’s are used everywhere, for example in signal processing and spectroscopy. If a recording contains an annoying high-pitched noise, we can apply the FT and filter the unwanted frequencies. Spectroscopy separates light into its different wavelengths. By comparing the resulting spectral lines with known measurements, we can determine which elements and molecules are present in stars and planets, for example.

idk what more to add ._.

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  • gaystyleJoker [she/her]@hexbear.netMEnglish
    1·
    2 months ago

    HELLO THIS IS THE MEGA SIGN UP POST/LIST POST

    if you have a preferred week please tell me

    GayTuckerCarlson* (8/24 - 8/30)
Eco* (8/31 - 9/6)
Shaleesh* (9/7 - 9/13)
BountifulEggnog* (9/14 - 9/20)
sodium_nitride* (9/21-9/27)

    ​ * after name denotes someone who has posted before and will be skipped by first-time posters

  • RondoRevolution [she/her, comrade/them]@hexbear.netEnglish
    28·
    2 months ago

    Today I have felt genuine happiness through the day after coming out to you all in c/chat. I caught myself smiling multiple times throughout the day when thinking about myself in a feminine way, using she/her pronouns and referring to myself by a new name in my thoughts. I haven’t felt close to this way in a long time. catgirl-happy

    Last night I dreamed of getting my hair done, trying makeup and painting my nails. One of my dogs gets very loud out of nowhere during the middle of the night, so I woke up a few times, and every time I went back to sleep I got jumpscared by the image of a giant lesbian flag. I don’t why because as far as I know I’m bi, lol.

    Also I have decided to come out on BlueSky too, but maybe because I’m not a poster it got absolutely 0 engagement. Eh doesn’t matter, the cool gay people are here anyway. rainbow-has

  • Sierra [she/her, they/them]@hexbear.netEnglish
    23·
    2 months ago

    Hey, my egg cracked and its been a sleepless couple of days. My mind has been racing about how I want to be, who do I come out to, imagining people’s reactions etc. Uh, what do I do now?

  • lilypad [she/her, it/its]@hexbear.netEnglish
    21·
    2 months ago
    small win

    I went to the store. My sister got on the phone with me to help talk me through it. But. I went to the store. I bought food. I bought good food. Like, to cook. Not instant or frozen, but real, good, food. I didn’t have spoons to make it today. But. Tomorrow I will make myself a dinner worth eating. And it will be good. I’m proud of myself. The anxiety was strong. But. I did it. I went to the fucking store. Success. I hate that this is a big deal for me but this is the first time ive gone shopping shopping in a very long time. Even if its a little pathetic, I’m really proud. I’m debating going to the park again today. Ive been doing that as well, and have been proud of my ability to go out and be around people. But maybe not today. I’m tired. But proud. Prouds.

  • scrungus [comrade/them]@hexbear.netEnglish
    18·
    2 months ago

    Called my brother to come out to him, it went well. We don’t talk very often and he’s always busy, so I texted him to give me a call when he had a chance because I needed to tell him something. He thought it was going to be bad/sad news (it usually is when one or the other of us uses that phrasing) and was audibly worried when I finally talked to him. A few moments of stammering confusion that were a bit awkward (because I’m so awkward) later he understood what I was calling about and I managed to say what I needed him to know

  • Bolshechick [it/its, she/her]@hexbear.netEnglish
    17·
    2 months ago
    sex

    Earlier tonight I was high and frotting with my girlfriend, then choked on her gock while she patted my head and called me a good girl, then so much more…

    I feel alive again, like God if I could just get this every day I think that’d fix me

  • RondoRevolution [she/her, comrade/them]@hexbear.netEnglish
    17·
    2 months ago

    I came out to my closest friend last night, and he was very supportive of me!! cat-trans

    I messaged him 1 am and we ended up talking through text until 3 am. I was so anxious and nervous about that, but he was there for me. I ended up crying towards the end of the conversation. catgirl-cry

    Incredibly he always suspected but never said anything because he thought that would be rude lol. I never thought someone suspected but he knew. Truly no experience is individual.

  • TerminalEncounter [she/her]@hexbear.netEnglish
    17·
    2 months ago

    Im in a different trans group chat with more local people, we do irl meet ups too, and the latest drama is someone left because I said there should be a moratorium on oversized pickups and you shouldn’t be allowed to drive anything larger than a 90s ranger size without a commercial license and for strict commercial purposes lol

    She loved her pickup more than a possible community (also I think she was shocked by how socialist and left wing trans people tend to be)

  • scrungus [comrade/them]@hexbear.netEnglish
    16·
    2 months ago

    I hurt my shoulder so I’m taking left over painkillers from my partner’s surgeries years ago. We have two different types, one prescribed after their top surgery and one after their hysterectomy. To differentiate between the two I’ve been calling them the top surgery pills and the hysterectomy pills, which makes it sound like that’s their function instead of being painkillers. So that’s been mildly amusing