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• Yesterday, 17:22
I believe that it should be: \begin{align*}\frac{\partial}{\partial{t}}f(x+c(t-\tau ),\tau)&=f_x(x+c(t-\tau ),\tau)\cdot...
11 replies | 152 view(s)
• Yesterday, 14:06
I think this is correct yes. (Nod) And we can simplify it bit more since $f(y,\tau)$ does not depend on $t$. Therefore $\pd{}t f(y,\tau)=0$....
11 replies | 152 view(s)
• May 24th, 2018, 16:06
Ah okay. My mistake. (Blush) So we have: \begin{tikzpicture} \coordinate (A) at (-1,0); \coordinate (B) at (1,0); \coordinate (C) at...
6 replies | 86 view(s)
• May 24th, 2018, 16:00
MarkFL replied to a thread Word problem on vectors in Geometry
Hello, and welcome to MHB, Gummg! (Wave) I would write the plane's velocity vector as: \vec{v}=485\left\langle...
3 replies | 78 view(s)
• May 24th, 2018, 15:38
Brainstorming some more, I believe we are approximating $y(x)$ with its Fourier form, which is: $$y(x) \approx \sum_{j=1}^{n-1} a_j \sin(jx)$$ It...
2 replies | 70 view(s)
• May 24th, 2018, 15:16
Because: \begin{tikzpicture} \coordinate (A) at (-1,0); \coordinate (B) at (1,0); \coordinate (C) at (0,{sqrt(3)}); \coordinate (D) at...
6 replies | 86 view(s)
• May 24th, 2018, 14:18
Hi ion88, welcome to MHB! (Wave) No worries. I believe you've already correctly filled in the table, which is what MarkFL uploaded for you. ...
4 replies | 97 view(s)
• May 24th, 2018, 14:06
Can it be that it should be side length $2b$ and height $a$? (Wondering) I don't think $AFA_1$ is equilateral. And $A_1$ is not in the...
6 replies | 86 view(s)
• May 24th, 2018, 10:27
Hey mathmari!! (Wave) It seems to me that the matrix indeed comes from the finite differences method. It identifies the problem that we want to...
2 replies | 70 view(s)
• May 23rd, 2018, 14:46
I think it should be $f(y,t)$ and $f_t(y,t)$, shouldn't it? Otherwise I believe it's all correct. (Happy)
11 replies | 152 view(s)
• May 23rd, 2018, 11:43
Here is this week's POTW: ----- Prove that there are only a finite number of possibilities for the ordered triple $(a-b,\,b-c,\,c-a)$ where...
0 replies | 67 view(s)
• May 23rd, 2018, 11:40
Congratulations to the following members for their correct solution:): 1. Olinguito 2. Opalg Solution from Opalg: If...
1 replies | 104 view(s)
• May 23rd, 2018, 10:55
If $\phi(x)\ne 0$ then we must have that $x\le \beta$ yes? And $\beta \le |\beta| \le \max(|\alpha|,|\beta|)$ isn't it? So if $\phi(x)\ne 0$ then...
19 replies | 298 view(s)
• May 23rd, 2018, 10:39
Suppose $\phi(x)=0$ for $x\in \mathbb R \setminus$. Then that means that we have that $\phi(x)=0$ for $x >\max(|\alpha|,|\beta|)$ don't we? And...
19 replies | 298 view(s)
• May 23rd, 2018, 10:16
Hey mathmari!! (Wave) How about defining $g(x,t,\tau) = \int_{c(t-\tau)-x}^{x+c(t-\tau)}f(y,\tau)dy$, and then differentiating one integral at a...
11 replies | 152 view(s)
• May 23rd, 2018, 10:05
How about picking $L= \max(|\alpha|, |\beta|, |\gamma|, |\delta|)$? Then $\phi=\psi=0$ on $\mathbb R\setminus$ isn't it? (Wondering) Btw, we...
19 replies | 298 view(s)
• May 23rd, 2018, 06:27
Can't we take the union of those 2 bounded sets? That is, pick $L$ such that it's bigger than any $x$-value for which either $\phi(|x|)$ or...
19 replies | 298 view(s)
• May 23rd, 2018, 04:39
I found that there's usually a pattern to these exercises. The first series are usually questions about the words, symbols, and definitions that...
14 replies | 326 view(s)
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