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Evgeny.Makarov
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Yesterday,
18:13
evinda
replied to a thread
Show that the function is the solution
in
Differential Equations
Why does the equality you write hold? Namely this one: $$\pi^{-\frac{n}{2}} \left| \int_{\mathbb{R}^n \setminus{Q_R}} e^{-|\sigma|^2 } ...
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4 replies | 83 view(s)
Yesterday,
12:17
evinda
replied to a thread
Uniqueness of solution
in
Differential Equations
We pick $|x-x_0|$ to be sufficiently small. I think that I understood the inequality of my notes. Since $\phi$ is bounded, there is a $M>0$...
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17 replies | 440 view(s)
Yesterday,
10:19
MarkFL
replied to a thread
Minimum of function under constraint
in
Calculus
Yes, the function as a whole is not bounded from below or from above. Let's look at this using Lagrange Multipliers... We have the objective...
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6 replies | 64 view(s)
Yesterday,
04:21
Evgeny.Makarov
replied to a thread
Formulas of predicate logic
in
Discrete Mathematics, Set Theory, and Logic
First you need to determine the syntactic convention related to quantifiers used in your course or textbook. There are numerous conventions, such as...
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3 replies | 56 view(s)
January 18th, 2017,
22:47
MarkFL
replied to a thread
Minimum of function under constraint
in
Calculus
You also need to check the boundaries of the function, one of which is $x=0$, at which the function is discontinuous. Another way to find the range...
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6 replies | 64 view(s)
January 18th, 2017,
20:13
MarkFL
replied to a thread
Minimum of function under constraint
in
Calculus
The function: f(x)=\frac{36}{x}+x has 2 local extrema, but we need to also look at the range, which is $(-\infty,-6]\,\cup\,[6,\infty)$. You...
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6 replies | 64 view(s)
January 18th, 2017,
04:37
Evgeny.Makarov
replied to a thread
Formulas of predicate logic
in
Discrete Mathematics, Set Theory, and Logic
You left out $x$ after $\exists$. I assume the scope of the quantifiers is minimal, i.e., the scope of $\exists x$ ends before $\to$. Otherwise the...
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3 replies | 56 view(s)
January 17th, 2017,
17:35
MarkFL
replied to a thread [SOLVED]
231.12.3.63 Determine the smallest distance between point P and the line L through the origin
in
Calculus
The square of the distance is: D^2=(x+8)^2+(6x-4)^2=37x^2-32x+80 Critical value is from: 74x-32=0\implies x=\frac{16}{37} ...
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2 replies | 56 view(s)
January 17th, 2017,
13:53
evinda
replied to a thread
Uniqueness of solution
in
Differential Equations
Oh yes, right. We have that if $u \in C^2(B_R(0)) \cap C^1(\overline{B_R}(0))$ is harmonic in $B_R(0)$, then the following formula holds: ...
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17 replies | 440 view(s)
January 16th, 2017,
18:26
evinda
replied to a thread
Uniqueness of solution
in
Differential Equations
How can we get a relation for the integral $\int_{\xi \in \partial B_R,\ |\xi-x_0| > \delta}dS$ ? Also we have that $\int_{\partial{B_R}}...
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17 replies | 440 view(s)
January 16th, 2017,
17:56
evinda
started a thread
Are these all the cases?
in
Differential Equations
Hello!!! (Wave) We have that $Lu=\sum_{i,j=1}^n a_{ij}(t,x) u_{x_i x_j}(t,x)+ \sum_{i=1}^n \beta_i(t,x) u_{x_i}(t,x)+c(t,x)u(t,x)-u_t(t,x)=f(t,x)...
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0 replies | 28 view(s)
January 16th, 2017,
17:54
evinda
replied to a thread
Show that the function is the solution
in
Differential Equations
Ok... where can we find the $\epsilon, \delta$-proof of these integrals?
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4 replies | 83 view(s)
January 16th, 2017,
17:17
MarkFL
replied to a thread
Parabola question
in
Pre-Algebra and Algebra
Yes, that's what I got too. (Yes) So then, what is $y_{\min}$?
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5 replies | 91 view(s)
January 16th, 2017,
16:04
MarkFL
replied to a thread
Parabola question
in
Pre-Algebra and Algebra
We know the axis of symmetry for the general quadratic: f(x)=ax^2+bx+c is the line: x=-\frac{b}{2a} And so for the given function:
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5 replies | 91 view(s)
January 15th, 2017,
18:41
evinda
started a thread
Show that the function is the solution
in
Differential Equations
Hello!!! (Wave) Theorem: Suppose that $\phi(x)$ is continuous and bounded in $\mathbb{R}^n$, then the solution of the problem $$u_t=\Delta u...
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4 replies | 83 view(s)
January 15th, 2017,
15:03
MarkFL
started a thread
Smilie Tabs: Easier Access To Smilies
in
Announcements
Hello MHB Community! (Wave) We have just installed a new feature that will make adding smilies to your posts easier and more efficient. When you...
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3 replies | 102 view(s)
January 15th, 2017,
10:59
MarkFL
replied to a thread
Prove that sin(x)+cos(x) is equal or larger than 1
in
Trigonometry
We could use Lagrange Multipliers...consider the objective function: f(x,y)=\sin(x)-\sin(y) Subject to the constraint: ...
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11 replies | 270 view(s)
January 12th, 2017,
23:20
MarkFL
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Site upgrade and planned downtime Wed, Jan 11
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Yes, when I got in tonight, I found Jameson had sent me the cure for the thanks issue. (Dance)
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January 12th, 2017,
22:41
MarkFL
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Site upgrade and planned downtime Wed, Jan 11
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After an upgrade to the latest version of our thanks product, that is now functioning again. (Yes)
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January 18th, 2017
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Re: Formulas of predicate logic
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If a bird cannot fly,...
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Re: Formulas of predicate logic
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If a bird cannot fly,...
January 9th, 2017
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December 31st, 2016
01:28 -
Peter
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Latex code for the class SE of short exact sequences in Mod_R
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See this answer...
December 30th, 2016
04:46 -
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Re: A problem in set theory
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F is defined this way:...
December 28th, 2016
01:24 -
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Powers of elements in Z/nZ
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This is a basic question...
December 26th, 2016
13:48 -
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I want to check using...
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