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Today,
20:35
Peter
replied to a thread
Jacobson Radical and Direct Sums - Bland, Proposition 6.1.4 ....
in
Linear and Abstract Algebra
Thanks Euge ... really appreciate your help ... just reflecting on the proof and what what you have said ... Peter
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2 replies | 36 view(s)
Today,
10:52
MarkFL
replied to a thread
ACT problem
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Pre-Algebra and Algebra
Another approach would be: S=2\sum_{k=1}^{50}(k)=50\cdot51
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2 replies | 30 view(s)
Yesterday,
20:49
Peter
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Deveno
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I hope Deveno returns to MHB soon ... he is sadly missed ... especially by those posting on the algebra forum ... Peter
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Hi Deveno ... ... Hope you return to MHBs soon ... you are sadly missed ... Peter
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Yesterday,
20:42
Peter
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Jacobson Radical and Direct Sums - Bland, Proposition 6.1.4 ....
in
Linear and Abstract Algebra
I am reading Paul E. Bland's book, "Rings and Their Modules". I am focused on Section 6.1 The Jacobson Radical ... ... I need help with the...
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2 replies | 36 view(s)
January 20th, 2017,
11:54
MarkFL
replied to a thread
Differentiation challenge
in
Challenge Questions and Puzzles
We appreciate challenge problems of virtually any level of difficulty. My advice to everyone is that if you find a posted problem "too easy" to...
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7 replies | 187 view(s)
January 19th, 2017,
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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5 replies | 123 view(s)
January 19th, 2017,
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 | 483 view(s)
January 19th, 2017,
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 | 91 view(s)
January 19th, 2017,
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 | 70 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 | 91 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 | 91 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 | 70 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 | 62 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 | 483 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 | 483 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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5 replies | 123 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 | 103 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 | 103 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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5 replies | 123 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 | 121 view(s)
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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
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Re: A problem in set theory
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F is defined this way:...
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