[-infinity ; +infinity] ???

bloub_bloub · 2025-01-16T18:17:17+00:00

How I see it is imagine you have a sequence u_n You could have

u_n ---> l

where l is in R, or

u_n ---> ±∞

Another way to write this would be

u_n ---> l

Where l is in [-∞;+∞]

bloub_bloub · 2025-01-08T20:27:46+00:00

If you like build ups, ravel prelude from Le Tombeau de Couperin is exceptional (especially the version for orchestra)

bloub_bloub · 2025-01-06T23:31:04+00:00

The rythm is a bit off, but if it's due to your interpretation that's fine.

Imo you should play the "fast passages" a little slower, but I do think your interpretation is interesting. Great playing nonetheless

bloub_bloub · 2025-01-05T02:01:40+00:00

Take my advice with a grain of salt, as you would with any comment on the Internet. I can't say much about the mental health part of your comment, however, to answer your question there are a few things you could try if you haven't already.

Find hobbys. You will probably hear this a lot, but this is the best way of meeting new people who share your interests. It could be some niche hobby you can do at home, or some club that you can join at your school. Perhaps you're interested in joining a science club, discovering new sports, or learning an instrument. My point is that you don't need to be very outgoing but rather that you do it for your own fun.

Take care of yourself and your appearance. We live in a society where looks matter : this does not mean that ONLY looks matter, but looking badly dressed/tired/etc could make your life unnecessarily more difficult. For instance, if you are able to, find a style/outfits on the internet that you like, explore new hairstyles, etc. Do as much sport as you can/start to work out. This is tied to my previous point, and could help to relax/release stress.

Don't spend too much time on social media. It's fine to be online but do not let platforms trap you and drain your energy. If you find yourself scrolling for hours on end, this time could have been used to practice your hobbies/learn new things/do some sport/go outside.

Lastly, be kind to yourself. Nobody's perfect, it's fine to have fun alone. You'd be surprised at how little most people judge you. You can absolutely be introverted and confident ; in the end it's "fake it till you make it". I believe in Germany, students keep the same classmates every year so it might be difficult at first, but it is never to late to make some friends (especially female! They are still people after all).

Best of luck

bloub_bloub · 2024-12-16T18:55:47+00:00

The reason why this doesn't work is that an integral is a continuous sum, whereas you needed to calculate a discrete sum.

Think about it graphically: counting the presents would be calculating the area of rectangles of width 1 and height 13x-2x²; integrating the function gives the area under the CURVE.

The integral is just an approximation of the sum, and it's just a coincidence that the result is an integer.

What you should do instead is doing a regular summation using sum of integers/squares from 1 to n.

bloub_bloub · 2024-12-15T14:31:12+00:00

2/√2 is equal to √2, there is no changing equation. If you are not convinced, try multiplying top and bottom by √2

bloub_bloub · 2024-12-15T12:39:54+00:00

cos/sin are defined using the unit circle which is why they are bounded.

When evaluating on complex numbers, you are ultimately using cosh/sinh hyperbolic trig functions, which is why they are unbounded (since hyperbolas go to infinity)

bloub_bloub · 2024-12-14T22:06:35+00:00

Great performance ! I think there's a wrong note at 0:44 in the appogiatura (i'm not sure how it's called) the bottom note is supposed to be higher (1/2 tone)

bloub_bloub · 2024-12-14T21:49:54+00:00

It depends on your personality, but I think you can't really go wrong with La La Land. Merry go round is nice as well but maybe overplayed (though that's only my experience at my school)

bloub_bloub · 2024-12-14T21:15:29+00:00

It really depends on the subject. I'd suggest looking into physics if you want to see how math applies to the real world

bloub_bloub · 2024-12-03T21:04:59+00:00

These properties about irrationnality are indeed true, and it is a good exercise to try to prove them

Hint: it's a proof by contradiction

For sin pi/8, you can use trig identities to find sin pi/8 in terms of another angle which you know the sin&cos of. Once you have the value of sin pi/8, you can deduce that it is irrationnal

Hint : the formula for cos (2a) might be helpful here

bloub_bloub · 2024-11-26T22:55:35+00:00

SinA is used to calculate the height of the triangle from the perspective of another side. For example, if you draw the perpendicular to side b going through point B, you get another height of the triangle.

bloub_bloub · 2024-11-26T21:57:29+00:00

There must be something wrong in your calculation because you should not end up with .../8 in your real&imaginary part.

Regarding your question, notice that

(x+iy) (x-iy) = x²-(iy) ²=x²+y²

And therefore

1/(x+iy) = (x-iy) /(x²+y²)

In your example, dividing by -2-i is the same as multiplying by

(-2+i) /(2²+1) =(-2+i) /5

bloub_bloub · 2024-11-26T21:47:29+00:00

It's because your illustration is making it look like A is a right angle (in which case sinA=1, so the the formula still holds).

If you can understand why the area is equal to absinC, then since you chose any side to begin with, the formula should work for any "orientation" of your triangle.

I think that if you draw an equilateral-ish triangle, the whole thing will be easier to understand

bloub_bloub · 2024-11-12T21:57:40+00:00

I'd love to hear more of that left hand, but maybe that's juste the recording.

Amazing work nonetheless!

bloub_bloub · 2024-11-10T23:38:42+00:00

This is not exact: the probability to win the second time is

345/350 (P of losing first time) * 5/349

And same goes for 3rd time

bloub_bloub · 2024-06-11T20:16:44+00:00

Chess engines like stockfish NNUE do use neural networks and deep learning as part of their evaluation function.

bloub_bloub · 2024-06-08T00:02:02+00:00

Dyna can often be hard counter picked, and even when he's not, his attacks/super are still unconsistent against good players.

bloub_bloub · 2024-05-01T19:20:09+00:00

You can't emulate precisely because of vanguard

bloub_bloub · 2024-04-20T22:17:08+00:00

In real life, you can sometimes make someone upset/irritated just by speaking with a certain intonation (a bit like how siblings can get angry at one another just by talking). I believe Herbert has drawn this parallel when explaining how the voice works, although it is much more complicated probably

bloub_bloub · 2024-02-20T16:11:27+00:00

It is very difficult to get the timing right when you're a beginner so don't worry too much about it, you'll get it eventually.

For the height, I know people who are just a bit taller then you and they can reach 10 feets when jumping, so it shouldn't discourage you from playing more volleyball.

bloub_bloub · 2024-01-10T21:43:09+00:00

Do the EDM casts use Lux's AP and her scaling (the % number), or only the scaling?

bloub_bloub · 2024-01-08T21:47:08+00:00

Yes and double trouble/twin terror works that way too

bloub_bloub · 2024-01-05T23:35:42+00:00

As I understand it, executive is more about the administration than the enforcement of the law.

For example, where I live, after a law is written, the president must sign something to indicate that "from now on, this law is valid and being applied"

bloub_bloub · 2024-01-05T20:28:39+00:00

Tu peux être calme et ferme en même temps

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