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Today,
05:18
evinda
replied to a thread
Cover the houses with signal
in
Discrete Mathematics, Set Theory, and Logic
Oh yes, that's a typo... I meant $k$... (Nerd)
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3 replies | 65 view(s)
Today,
03:50
evinda
replied to a thread
Show that solution is infinitely many times differentiable
in
Differential Equations
You mean the derivative in respect to $t$ ? (Thinking)
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25 replies | 435 view(s)
Today,
00:02
MarkFL
replied to a thread
2.2.8 de xy'+2y=sin x,y(pi)=1/pi find solution
in
Differential Equations
You wound up with $x^2\sin(x)$ on the RHS before integrating, but it should be $x\sin(x)$. :)
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2 replies | 54 view(s)
Yesterday,
19:23
MarkFL
replied to a thread [SOLVED]
2.2.7 de with trig and y(1)=1
in
Differential Equations
When you multiply through by $\mu(x)$, you should have: \frac{d}{dx}(\sin(x)y)=2 And then integrate: \sin(x)y=2x+c_1 ...
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2 replies | 36 view(s)
June 19th, 2018,
19:21
MarkFL
replied to a thread
2.2.6 de with e^x
in
Differential Equations
Towards the end, when you divide through by $x$, you want: y(x)=\frac{e^x}{x}+\frac{c}{x} You mistakenly divided the constant by $e^x$.
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1 replies | 41 view(s)
June 19th, 2018,
15:31
MarkFL
replied to a thread
2.2.5 de equation with y(1)=1/2
in
Differential Equations
Yes, but you used it on the original ODE, not the one in standard linear form. :)
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4 replies | 91 view(s)
June 18th, 2018,
06:19
Peter
replied to a thread
Right Noetherian Rings and Noetherian Modules ... Bland, Proposition 4.2.11 ... ...
in
Linear and Abstract Algebra
Thanks steenis ... No worries at all ... Thanks for all your help ... Peter
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10 replies | 220 view(s)
June 18th, 2018,
06:04
Peter
replied to a thread
Generation of Modules ... Dummit and Foote, Section 10.3 ... ...
in
Linear and Abstract Algebra
Thanks Steenis ... That proof seems really clear ... Will work through it again shortly... Peter
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4 replies | 82 view(s)
June 18th, 2018,
05:18
Peter
replied to a thread
Right Noetherian Rings and Noetherian Modules ... Bland, Proposition 4.2.11 ... ...
in
Linear and Abstract Algebra
Sorry Steenis ... I don't understand you ... Can you give me a hint as to what is wrong ...? Peter
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10 replies | 220 view(s)
June 18th, 2018,
04:51
Peter
replied to a thread
Right Noetherian Rings and Noetherian Modules ... Bland, Proposition 4.2.11 ... ...
in
Linear and Abstract Algebra
Thanks steenis ... most helpful ... Can see that the short exact sequence $0\rightarrow \text{ker } f \overset{i}{ \rightarrow}R^{(n)}...
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10 replies | 220 view(s)
June 18th, 2018,
01:22
Peter
replied to a thread
Generation of Modules ... Dummit and Foote, Section 10.3 ... ...
in
Linear and Abstract Algebra
======================================================================== Since I could not see any specific errors, I have completed the proof...
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4 replies | 82 view(s)
June 17th, 2018,
14:46
evinda
replied to a thread
Cover the houses with signal
in
Discrete Mathematics, Set Theory, and Logic
I have thought of the following algorithm: We put an antenna $k$ meters east of the westernmost house. We continue to the east, by placing an...
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3 replies | 65 view(s)
June 17th, 2018,
12:39
MarkFL
replied to a thread [SOLVED]
2.2.3 de with tan x
in
Differential Equations
I can't imagine trying to use the internet on a telephone. I'm sorry scrolling on a telephone is such a chore...they should fix that.
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8 replies | 113 view(s)
June 17th, 2018,
11:00
evinda
started a thread
Cover the houses with signal
in
Discrete Mathematics, Set Theory, and Logic
Hello!!! (Wave) We consider a long country road with $n$ houses placed along of it (we think of the road as a big line segment). We want to put...
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3 replies | 65 view(s)
June 17th, 2018,
05:04
Peter
started a thread
Deveno ...
in
Chat Room
Deveno is much missed ... especially by those who frequent the Linear and Abstract Algebra Forum ... Deveno's pedagogical abilities were as...
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0 replies | 58 view(s)
June 17th, 2018,
04:40
Peter
started a thread
Generation of Modules ... Dummit and Foote, Section 10.3 ... ...
in
Linear and Abstract Algebra
I am reading Dummit and Foote's book: "Abstract Algebra" (Third Edition) ... I am currently studying Chapter 10: Introduction to Module Theory ......
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4 replies | 82 view(s)
June 17th, 2018,
00:59
MarkFL
replied to a thread [SOLVED]
2.2.3 de with tan x
in
Differential Equations
Are you using Tapatalk by any chance? I have code in place to let me know when posts have been edited, so I don't miss added content (it's better to...
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8 replies | 113 view(s)
June 17th, 2018,
00:52
MarkFL
replied to a thread [SOLVED]
2.2.3 de with tan x
in
Differential Equations
When you multiply by $\mu(x)$, you get: \sec(x)y'+\tan(x)\sex(x)y=\sec(x)\sin(2x) This can be written as: ...
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8 replies | 113 view(s)
June 16th, 2018,
23:10
Peter
replied to a thread
Right Noetherian Rings and Noetherian Modules ... Bland, Proposition 4.2.11 ... ...
in
Linear and Abstract Algebra
Thanks Steenis ... You have shown that $R^{(n)} / N \cong M$ where $N = \text{ Ker } f$ ... ... ... ... ... (1) ... and we have by...
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10 replies | 220 view(s)
June 16th, 2018,
19:51
MarkFL
replied to a thread [SOLVED]
2.2.3 de with tan x
in
Differential Equations
-\ln(\cos(x))=\ln\left((\cos(x))^{-1}\right)=\ln(\sec(x))
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8 replies | 113 view(s)
June 16th, 2018,
19:38
MarkFL
replied to a thread [SOLVED]
2.2.3 de with tan x
in
Differential Equations
\mu(x)=\exp\left(\int \tan(x)\,dx\right)=e^{\Large\ln(\sec(x))}=\sec(x)
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8 replies | 113 view(s)
June 16th, 2018,
00:29
MarkFL
replied to a thread
Problems with Percentage
in
Pre-Algebra and Algebra
300+300\cdot\frac{1666}{100}=300(1+16.66)=300\cdot17.66=5298 Here, we have taken 300, and added 1666% of 300 to it. However if we multiply 300 by...
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6 replies | 126 view(s)
June 16th, 2018,
00:03
Peter
replied to a thread
Right Noetherian Rings and Noetherian Modules ... Bland, Proposition 4.2.11 ... ...
in
Linear and Abstract Algebra
Thanks steenis ... but not sure if I follow .. ... but will try ... as follows ... We have an epimorphism $f:R^{(n)} \longrightarrow M$ ...
see more
10 replies | 220 view(s)
June 15th, 2018,
16:28
MarkFL
replied to a thread [SOLVED]
2.2.1 de with u substitution
in
Differential Equations
\mu(x)=\exp\left(\int\frac{1}{x}\,dx\right)=e^{\ln(x)}=x
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3 replies | 63 view(s)
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June 8th, 2018
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Roman numerals remind me...
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So if I understand you...
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what exactly do they...
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Secondly what I meant by...
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If Pi is the ratio of a...
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