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1,905 | help-10 | fea04632ff954b1bafbee0cb6b710ec3 | 261,933,205,387,477,000 | riemann | 04/15/2022 17:06:47 | you'll likely have to trial and error | 0 | 1 | null | null | null | null | null | |||||
1,905 | help-10 | fea04632ff954b1bafbee0cb6b710ec3 | 347,916,503,196,106,750 | Joshua | 04/15/2022 17:14:28 | i still don't understand | 1 | 0 | null | null | null | null | null | |||||
1,905 | help-10 | fea04632ff954b1bafbee0cb6b710ec3 | 261,933,205,387,477,000 | riemann | 04/15/2022 17:15:52 | did you read the definition of horizontal and vertical asymptotes of rational functions? | 0 | 1 | null | null | null | null | null | |||||
1,905 | help-10 | fea04632ff954b1bafbee0cb6b710ec3 | 347,916,503,196,106,750 | Joshua | 04/15/2022 17:19:26 | yes but how would i know the aslymtotes when i have 5/2 | 1 | 0 | null | null | null | null | null | |||||
1,905 | help-10 | fea04632ff954b1bafbee0cb6b710ec3 | 347,916,503,196,106,750 | Joshua | 04/15/2022 17:19:40 | of the horizontal and vertical | 1 | 0 | null | null | null | null | null | |||||
1,905 | help-10 | fea04632ff954b1bafbee0cb6b710ec3 | 261,933,205,387,477,000 | riemann | 04/15/2022 17:20:43 | . | 0 | 1 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:22:09 | Screen_Shot_2022-04-15_at_5.22.02_PM.png | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 690,217,572,871,831,600 | lgkoo | 04/15/2022 18:23:26 | damn, feels like a bit of try-and-error to me as there's more than 2 prime numbers between 4 and 18 | 0 | 1 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:23:45 | yes its 5,7,11,13,17 | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:23:59 | do you know how I should start cause I was just guessing before and it got me nowhere | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 455,461,561,297,928,200 | Android803 | 04/15/2022 18:25:25 | what topic does this fall under? | 0 | 1 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:25:29 | numebr theory | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 690,217,572,871,831,600 | lgkoo | 04/15/2022 18:25:45 | I'm probably dumb but I don't see a way without more information | 0 | 1 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 690,217,572,871,831,600 | lgkoo | 04/15/2022 18:26:21 | there might be properties about product and sum of primes that I just never thought of though | 0 | 1 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 455,461,561,297,928,200 | Android803 | 04/15/2022 18:26:26 | you probably have to introduce some variables | 0 | 1 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:26:56 | found it with guess and checking | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:27:03 | 11x13 - (11+13) = 119 | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:27:04 | xd | 1 | 0 | null | null | null | null | null | |||||
1,906 | help-10 | 9a3496d436be4efd9382491912879472 | 456,226,577,798,135,800 | Deleted User | 04/15/2022 18:27:05 | .close | 1 | 0 | null | null | null | null | null | |||||
1,907 | help-10 | e193a2ea0feb4fd7a834811e9254e4d6 | 593,820,769,050,689,500 | Zemonomic | 04/15/2022 19:40:06 | How do u make -x into x | Screenshot_2022-04-16_at_00.39.53.png | 1 | 0 | null | null | null | null | null | ||||
1,907 | help-10 | e193a2ea0feb4fd7a834811e9254e4d6 | 753,961,119,613,321,300 | Raantas | 04/15/2022 20:00:53 | by transferring it to the other side (LHS) in this case
It will be ** `x = -8y - 3` ** | 0 | 1 | null | null | null | null | null | |||||
1,907 | help-10 | e193a2ea0feb4fd7a834811e9254e4d6 | 593,820,769,050,689,500 | Zemonomic | 04/15/2022 20:06:07 | ok | 1 | 0 | null | null | null | null | null | |||||
1,907 | help-10 | e193a2ea0feb4fd7a834811e9254e4d6 | 593,820,769,050,689,500 | Zemonomic | 04/15/2022 20:07:11 | i didnt times 3 by 2 | 1 | 0 | null | null | null | null | null | |||||
1,907 | help-10 | e193a2ea0feb4fd7a834811e9254e4d6 | 593,820,769,050,689,500 | Zemonomic | 04/15/2022 20:07:56 | x= -8y -6 | 1 | 0 | null | null | null | null | null | |||||
1,907 | help-10 | e193a2ea0feb4fd7a834811e9254e4d6 | 593,820,769,050,689,500 | Zemonomic | 04/15/2022 20:07:59 | .close | 1 | 0 | null | null | null | null | null | |||||
1,908 | help-10 | f1992a9feaf14b34b7b574c0e723536f | 742,244,290,259,976,200 | yaz | 04/15/2022 20:29:59 | unknown.png | 1 | 0 | 347,916,503,196,106,750 | Joshua | 1588 | Joshua | false | |||||
1,908 | help-10 | f1992a9feaf14b34b7b574c0e723536f | 742,244,290,259,976,200 | yaz | 04/15/2022 20:30:01 | whats a and ? | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:03:42 | Why can the projection of a on b = the projection of a on the projection of b on c | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:04:20 | This being
a ↓b = a ↓(b ↓c) | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:08:53 | I waited an hour on the previous channel, which I closed and opened this one so I’m going to flag @Helpers | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 485,903,210,272,391,200 | dldh06 | 04/15/2022 21:14:43 | I mean technically you opened a new channel so you still have to wait at 15 minutes before pinging helpers | 0 | 1 | 456,226,577,798,135,800 | Deleted User | 0000 | Deleted User | false | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:15:48 | Ok, my bad, just a bit frustrated, idk what opening a new channel would have done anyways but thx for the heads up ig | 1 | 0 | 690,217,572,871,831,600 | lgkoo | 2553 | lgkoo | false | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:16:13 | I think your order is wrong | 0 | 1 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:16:30 | a ↓b = a ↓(c↓b) is true | 0 | 1 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:16:45 | Oh my bad | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:17:09 | It’s late, the question says
a ↓c = a ↓(b ↓c) | 1 | 0 | 456,226,577,798,135,800 | Deleted User | 0000 | Deleted User | false | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:17:50 | These all being vectors, which I suppose is similar to what you were saying | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:18:19 | But my question is why is this true | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:20:47 | unknown.png | 0 | 1 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:20:50 | here's a visual | 0 | 1 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:22:17 | Ah, but how do we know that the angle between a and b is smaller than that of c and b | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:22:27 | Although this clarifies a lot | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:22:32 | doesn't matter | 0 | 1 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:22:37 | I just drew it that way lol | 0 | 1 | 593,820,769,050,689,500 | Zemonomic | 6086 | Zemonomic | false | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:24:13 | Well I think that explains it, thanks for the help | 1 | 0 | 753,961,119,613,321,300 | Raantas | 1056 | Raantas | false | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:25:39 | ye olde switcharoo | unknown.png | 0 | 1 | 753,961,119,613,321,300 | Raantas | 1056 | Raantas | false | ||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:28:42 | Many thanks | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:29:10 | Haha I was writing out a whole essay and then reread my question and it said to draw a diagram | 1 | 0 | null | null | null | null | null | |||||
1,909 | help-10 | dcac20a0542c42358014db9abdc72711 | 737,647,739,378,204,700 | Cheese Grater | 04/15/2022 21:29:15 | .close | 1 | 0 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 235,895,185,161,060,350 | winston gergill | 04/15/2022 21:29:15 | lmaooooo | 1 | 0 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:41:04 | what is div F | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:41:21 | $\text{div} \vec{F}$ | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 510,789,298,321,096,700 | TeXit | 04/15/2022 21:41:52 | **EndTimes** | 551269104800104449.png | 0 | 1 | null | null | null | null | null | ||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 761,155,030,513,352,700 | Bungo | 04/15/2022 21:42:09 | divergence of a vector field? | 0 | 1 | 737,647,739,378,204,700 | Cheese Grater | 5832 | Cheese Grater | false | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:42:16 | yeah | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:42:20 | so what is it | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 761,155,030,513,352,700 | Bungo | 04/15/2022 21:42:37 | https://en.wikipedia.org/wiki/Divergence | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:43:34 | ok so let me get this straight | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:44:49 | $\text{div} \vec{F} = \nabla \vec{F} \cdot \vec{F}$ | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 510,789,298,321,096,700 | TeXit | 04/15/2022 21:45:01 | **EndTimes** | 551269104800104449.png | 0 | 1 | null | null | null | null | null | ||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:45:27 | ok and how does that relate to curl | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:45:36 | is div curl F = curl div F | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 510,789,298,321,096,700 | TeXit | 04/15/2022 21:45:53 | **Zanarcane** | 299974051127099396.png | 0 | 1 | null | null | null | null | null | ||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 510,789,298,321,096,700 | TeXit | 04/15/2022 21:46:25 | **Zanarcane** | 299974051127099396.png | 0 | 1 | null | null | null | null | null | ||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:47:10 | curl div F does not make any sense because div F is a scalar field and curl only acts on vector fields | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:48:24 | And btw div curl F = 0 | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:48:33 | always??? | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:48:37 | Yes | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:49:02 | oh that makes sense because the curl vector is perpendicular to F | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:49:12 | right? | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 510,789,298,321,096,700 | TeXit | 04/15/2022 21:51:13 | **Zanarcane** | 299974051127099396.png | 0 | 1 | null | null | null | null | null | ||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:51:20 | wait ok i'm confused | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:51:35 | do you take the gradient vector of F or of curlF there | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:51:41 | what is nabla | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:51:57 | nabla is a differential operator | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:52:53 | And depending on whether you use \cdot or \cross or nothing at all, it's the divergence, curl, and gradient, respectively | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:53:21 | As for this relation, you can try to compute it by hand, and you will get 0 | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:53:58 | $ \text{div curl} \vec{F} = \nabla(\vec{F}) \cdot (\nabla(\vec{F}) \times \vec{F}) $ | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:54:22 | why isn't it working | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:54:32 | $ \text{div curl} \vec{F} = \nabla(\vec{F}) \cdot (\nabla(\vec{F}) \times \vec{F}) $ | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:54:44 | No idea | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:55:35 | my confusion is that how do you know what vector function to take the gradient of? like for the div curl operation do you take the nabla of curlF or just the nabla of F | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:56:49 | I take the nabla dot (divergence) of the nabla cross (curl) of F | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:57:42 | Never used the gradient | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:57:47 | yeah but which partial derivative vector do you use | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:57:56 | the one of F itself or the one of curlF | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:59:12 | Not entirely sure what you mean | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:59:27 | It's like G = curl F | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 21:59:41 | div curl F = div G | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 21:59:50 | ok yeah that makes sense | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 22:00:12 | so it's the partial derivative vector of G dot G | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 22:00:36 | what do you call the partial derivative vector if not the gradient though | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 22:00:48 | does gradient only apply to scalar functions | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 22:00:51 | The "partial derivative vector" does not depend on the function you apply it to | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 22:01:35 | Yes, but you can also define the gradient of a vector-valued function by the gradient of each of its components | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 22:02:25 | And write it as a matrix, which corresponds to the transpose of the Jacobian | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 22:02:36 | so then nabla is the gradient | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 551,269,104,800,104,450 | EndTimes | 04/15/2022 22:02:37 | ? | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 22:03:37 | nabla is just a notation, which in physics can be thought of as the "partial derivative vector" | 0 | 1 | null | null | null | null | null | |||||
1,910 | help-10 | 0365ce51dbd64474befc4d2bca51ca8a | 299,974,051,127,099,400 | Zanarcane | 04/15/2022 22:05:02 | It's more important to know what happens if you apply the gradient (just nabla), the curl (nabla cross), and the divergence (nabla dot) to some function | 0 | 1 | null | null | null | null | null |
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