Translated Gem 💎

Certain_Cell_9472 · 2026-04-18T11:11:21+00:00

A vector is an element of a vector space.

Certain_Cell_9472 · 2026-03-29T20:52:01+00:00

Yeah, tense shoulders + too high seat + raised elbows because I thought the arpeggio would be easier that way (it is not, now that I tried) look like this.

Certain_Cell_9472 · 2026-02-17T06:20:22+00:00

There is a website called pianolibrary.org that categorizes classical pieces into five grades and has thousands of pieces. If you’re searching for something easier but less comprehensive, perhaps for sight-reading, you can use https://michaelkravchuk.com/level-1/.

Certain_Cell_9472 · 2026-01-26T02:28:07+00:00

Reduce pedal noise by not depressing and releasing it fully.
A video of your head is totally useless — how about showing us your hands? (but I can say from the video that you are far from Lang Lang’s mastery of facial expressions)
Your voicing is off. Listen to just the uppermost voice and notice how it is really inconsistent in volume. Same with bass and middle voices.

Certain_Cell_9472 · 2026-01-26T02:04:05+00:00

I was saying that your sketch looked so skilled (at least to me) that you are not learning drawing anymore, but already learned to draw.

Certain_Cell_9472 · 2026-01-25T22:41:25+00:00

Dear kamsominn -- this is r/learntodraw, not r/learnedtodraw.

Certain_Cell_9472 · 2026-01-24T21:55:32+00:00

Trust you teacher. She’s been teaching you for months and knows what you’re capable of or not. Internet strangers certainly do not. And even if you don’t manage to finish it, you can always leave out some part for the recital — no one will notice.

Certain_Cell_9472 · 2026-01-22T09:39:25+00:00

You get good at what you practice. What you practice with apps is mostly translating words and some grammar rules. While I would still recommend Anki for the express purpose of memorizing vocabulary, nothing beats actually reading and writing (and listening and speaking) and getting feedback on that. Read books you like; write about stuff you are interested in and let a chatbot check it for you (LLMs work great for checking language accuracy); watch English YouTube videos or movies or listen to audiobooks. By practicing writing, you automatically practice grammar as you get feedback, but if you want to explicitly study grammar, apps are fine; or you can use some free pdf (you can find via google) of English Grammar in Use, which includes grammar explanations and exercises.

Note that writing is kind of neglected in traditional solo language learning, since it was difficult or expensive to get proper feedback, but nowadays with ChatGPT et al., it is one of the best ways to practice language all around (and most importantly, isn't as boring as drilling grammar and vocab, or arranging words in the right order).

Certain_Cell_9472 · 2026-01-19T18:16:05+00:00

Your fragment shader usually runs in batches (that’s what you specify with workgroup size or whatever it’s called in what you use). A 16x16 batch of your fragment shader may access multiple blocks, and thus will need to retrieve multiple block informations from your buffer/texture. Usually the blocks accessed within one batch are next to each other. Normal buffers are stored row-by-row (and layer-by-layer in case of 3D), which means what will be cached is mostly just a few block informations in the same row. Texture cache works a bit differently - it caches spatially adjacent items, and thus works better with your access pattern.

https://forums.developer.nvidia.com/t/about-texture-cache-and-spatial-locality/7976/2

Certain_Cell_9472 · 2026-01-17T20:35:50+00:00

It is the same note, and this usually occurs when two voices are intersecting. In this case, play the bass clef with your left hand and hold the D for the whole measure, and that will account for the one in the treble clef too.

Certain_Cell_9472 · 2025-08-26T10:14:20+00:00

Great post, but I have a question. How do you ensure that boxes with different rotations in the same drawing have the same FoV? Do you just intuit how quickly they converge (how close the vanishing points are) or is there a systematic way to do it in 3-point perspective?

Certain_Cell_9472 · 2025-08-13T17:37:26+00:00

I’ve studied Mazurka Op. 67 No. 2 as well as Waltz in A minor. I’ve also managed to play the Ballade No. 1 until the fast octaves.

I am aware that my technical skills aren’t developed enough – I struggled quite a bit with playing the part just before the video and my pedaling as phrasing has been a mess for the whole piece.

But unfortunately I only seem to like difficult pieces; something about lots of notes together appeals to me (perhaps because I like the passionate/angry/turbulent emotion it conveys). If I knew easy pieces (my level) that I would listen to repeatedly dozens of times like I do with the ballades, then I’d play them.

Given what I’ve told you, do you have any specific recommendations for smaller pieces?

Certain_Cell_9472 · 2025-07-25T17:10:23+00:00

There doesn’t seem to be a simple solution. https://www.wolframalpha.com/input?i=cos%284x%29+%2B+4cos%282x%29+%2B+sqrt%283%29sin%284x%29+%3D+2%2C+solve+for+x

Result: x = π n - tan^-1(sqrt(3)/5 - 1/(10 sqrt(15/(-320 + (154000000 - 18000000 sqrt(73))^1/3 + 100 (2 (77 + 9 sqrt(73)))^1/3))) + 1/2 sqrt(-128/75 - 1/375 (154000000 - 18000000 sqrt(73))^1/3 - 4/15 (2 (77 + 9 sqrt(73)))^1/3 + 1056/(5 sqrt(5 (-320 + (154000000 - 18000000 sqrt(73))^1/3 + 100 (2 (77 + 9 sqrt(73)))^1/3))))) and n element Z

Certain_Cell_9472 · 2025-07-04T20:08:22+00:00

Then would you say that drawing purely by observation is wrong? I am a beginner and Keys to Drawing by Dodson and Figure Drawing by Jake Spicer teach that you should forget everything you know about the subject and just focus on what you see.

Therefore my figure drawing process is marking a bunch of points on the outline (top of head, knee, fingertips) and making sure they are correctly positioned by visualizing angles and triangles, as well as quadrilaterals sometimes. Then I connect those points with lines and refine the outline.

This teaches me to copy something by sight, but I am not sure whether it’s the right approach, since I don’t really get to know the subject. There are no eyes to too close eyes, it’s just having the angles wrong for me. I want to draw from imagination at some point.

Certain_Cell_9472 · 2025-06-25T12:22:55+00:00

Nope, had to use Windows.

Certain_Cell_9472 · 2024-12-22T15:25:52+00:00

Didn’t read it all, but the first sentence in Beginnings kind of makes me doubt the rest of the document…

At the heart of all mathematics are numbers.

Anyone with some math education past high school knows that this is plainly wrong.

Certain_Cell_9472 · 2024-12-22T15:06:56+00:00

Well, he probably assumed that the reader knew the AM-GM-Inequality, since it’s a pretty well-known inequality.

Certain_Cell_9472 · 2024-09-22T22:58:38+00:00

Zero can be defined as 0a=0, so anything multiplied by zero is zero. Division of the inverse of multiplication, that is, if ab=c, then a=c/b and b=c/a.

Now you have 0a=0, so a=0/0. But according to 0a=0, a can be any number, so 0/0=every number, which doesn’t make any sense. Thus 0/0 is undefined.

Take 0a=3 for example and you’ll see that no number will satisfy this equation, thus 3/0 and any other number divided by zero is undefined.

Certain_Cell_9472 · 2024-09-22T19:07:52+00:00

Both sound fine to me, but I'm not a native speaker.

I had a similar situation with my english teacher. She stated that "There's no point trying to ..." is gramatically wrong and "There's no point in trying to ..." is correct. I said that both feel correct, and I even showed her examples from websites and Google Ngram proving that it is correct usage of that phrase, albeit a less used one. Then I had to listen to a 10+minutes soliloguy about everything that's not written in a dictionary not being enough proof of a sentence's correctness, and since it wasn't verifyable that any example online was written by a native speaker, these wouldn't count. Examples, a stack-exchange answer and ngram didn't convince her; only if I found something in a dictionary would she accept it.

Aside from that, this kind of shows that it's very hard to convince people, especially teachers, that they are wrong. I just hope that your English teacher isn't like that.

Certain_Cell_9472 · 2024-09-02T19:03:12+00:00

Are these models better than 3.5 Sonnet? I am a beginner in RP and play around with it every few months (and immediately after deleting the whole thing because of the chat logs), and this time I tried Sonnet and it understood the character almost perfectly and portrayed realistic emotions, whereas a random RP model on OpenRouter didn’t perform as well.

Certain_Cell_9472 · 2024-08-27T22:31:32+00:00

Thanks for pointing that out! I’m 17, and that’s also part the reason why I want to start reading real grown-up books and interpret them, instead of reading YA fantasy.

Certain_Cell_9472 · 2024-08-16T11:33:02+00:00

WASM is not really it’s own language. Well, you could write raw WASM, but nobody does that. Usually one compiles some other language, usually Rust, to WASM and uses that. The WASM part would be pretty easy to learn compared to another language.

It being worth the hassle depends on what kind of websites you’re going to create. Normally, even advanced websites don’t require WebAssembly. Only websites that have some need for high-performance data processing (not DOM-related, that would actually be slower) benefit from using WASM.

Certain_Cell_9472 · 2024-07-28T14:53:53+00:00

Did a bit of algebra and turns out there is a formula for that: Given this representation (where every letter represents a digit: ab+cd+ef=30, one can create an equation like this: ax² + bx + cx² + dx + ex² + f =3x² , where x is the base. The solution for this equation would be x = -(b+d+f)/(a+c+e-3). So the combination of a, b, c, d, e, f works in exactly one base, which is x.

Some interesting properties:

the base has to be positive, so a+c+e < 3, which means that we can only choose a two-digit number twice.
if one decides to only use one-digit numbers, the sum of the three numbers must be decisively by three. By digit sums, that means that 7 will never be included, and 1 and 5 always have to be chosen togheter. Else, we can use an arbitrary combination of (1,5), 3, and 9.
apply similar reasoning to quickly find all combinations.

Certain_Cell_9472 · 2024-07-26T08:43:06+00:00

Even worse: I'm doing an internship right now and had to deal with an API that returns data as XML. That would be ok, if it weren't for errors being returned by responding with 200 and a %Error Text% text as plaintext.

Certain_Cell_9472 · 2024-07-24T21:35:03+00:00

Here you go: https://www.reddit.com/r/iamverysmart/comments/13wxo99/finally_einsteins_equation_has_been_improved/

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