content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
a triangle geometry...
July 18th 2010, 10:44 PM #1
Member
Joined
Feb 2010
From
in the 4th dimension....
Posts
122
Thanks
9
a triangle geometry...
let in triangle ABC,AB=AC. D is the midpoint of BC.E is the foot of the perpendicular from D to AB,and F is the midpoint of DE.
Prove that AF is pe... | 4 | [
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0.029052... | 31,600 | 31600 | |
A Kinetic Model for the Spread of Rumor in Emergencies
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 605854, 8 pages
http://dx.doi.org/10.1155/2013/605854
Research Article
A Kinetic Model for the Spread of Rumor in Emergencies
^1Antai College of Economics and Management, Shanghai Jiao Tong U... | 5 | [
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app-b8
LIQUID HYDROGEN AS A PROPULSION FUEL,1945-1959
Appendix B - Propulsion primer, performance, parameters and units.
Rocket Performance Parameters and Units
[281] American ... | 4 | [
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Evaluate the sum
using the well known rule: loga + logb = log(ab) we get: $[log_21]+[log_22]+[log_23]+...+[log_22002] = log_21*2*3*...*2001*2002 = log_22002!$
Stirling's approximation says that, for large n: $n! \approx \sqrt{2 \pi n} \frac{n^n}{e^n}$ So $ln(n!) \approx \frac{1}{2}ln(n) + n~ln(n) - n$ (ignoring the re... | 5 | [
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roof that the square root of 2 is irrational
A proof that the square root of 2 is irrational
How do we know that square root of 2 is an irrational number? In other words, how do we know that √2 wouldn't have a pattern in the decimal sequence? Maybe the pattern is very well hidden and is
really long, billions of digits... | 4 | [
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Double Integrals
Evaluate $\int\int_Re^{\frac{x-y}{x+y}}$ where $R=\{(x,y)\in\mathbb{R}^2:0\leq x,0\leq y,x+y=1\}$ using $x-y=u,x+y=v$. I got $\frac{1}{2}\int_0^2\int_u^1e^{\frac{u}{v}}dvdu$ but maple says im wrong.
yes really On the bottom of the triangle $y=0$ and $x=0..1$ using this we get in the u-v plance $u=x-y ... | 5 | [
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... | 31,605 | 31605 | |
Find the coeficient
February 16th 2009, 11:09 PM #1
Senior Member
Joined
Jan 2009
Posts
381
Find the coeficient
Find the coefficient of the terms in x as indicated , in the following expansions .
(a) $(1+x)^2(2-3x)^7$ , term in x^3
(b) $(x+\frac{1}{x})^2(1-x)^5$ , term in x^2 .
Thanks .
... | 4 | [
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Homework Help
Posted by pitigoiu on Tuesday, April 2, 2013 at 3:35pm.
A rectangular room has an area of 120ft squared. Marge drew a scale drawing of the pool using the scale 1.5cm=2ft. What was the area of the scale drawing?
a) 213.3cm2
b) 67.5cm2
c)53.3cm2
d)1.5cm2
I don't think any of the choices match the answ... | 4 | [
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First and Second Partials at the Origin
May 3rd 2010, 11:33 PM #1
Junior Member
Joined
Jan 2010
Posts
62
First and Second Partials at the Origin
$f(x,y)=\sqrt[5]{x^5+y^5}$
The question is to find $f_x(0,0)$ and $f_{xx}(0,0)$
Solving $f_x(0,0)$ how I would normally take a partial derivative I ge... | 5 | [
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Multiplying/dividing with exponents
June 9th 2009, 05:34 PM
allyourbass2212
Multiplying/dividing with exponents
I am having difficulties figuring out what exactly the author of my Algebra book is doing in regards to step 2.
Expression
$(\frac{x^3}{y^2}^5) (\frac{x}{y})^{-2}$
Step 1= $\frac{x^{15}}{... | 4 | [
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Fluctuation of Firm Size in the Long-Run and Bimodal Distribution
Advances in Operations Research
Volume 2011 (2011), Article ID 269239, 21 pages
http://dx.doi.org/10.1155/2011/269239
Research Article
Fluctuation of Firm Size in the Long-Run and Bimodal Distribution
^1Graduate School of Science, Kyoto University, Yo... | 4 | [
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Calculus Power Series
My question looks like this: f(x)= 5/ (1-5x)^2 Find C0= c1= C2= C3= C4= Any help is much appreciated.
If $- 1 < \xi < 1$ then $\frac{1}{1-\xi } = \sum_{n=0}^{\infty} \xi^n$. Term-by-term differenciation implies, $\frac{1}{(1-\xi)^2} = \sum_{n=0}^{\infty}(n+1)\xi ^n$. Thus if $-1 < 5x < 1 \implies... | 5 | [
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Linear Approximation problems.....
October 26th 2008, 06:57 PM #1
Newbie
Joined
Sep 2008
Posts
24
Linear Approximation problems.....
1. Let $f(t)$ be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of ... | 5 | [
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Integration/ Completing the square...
May 30th 2007, 12:10 PM #1
Integration/ Completing the square...
Hi guys sorry I haven't been online much I've been very busy with SS1...
Quick Question:
If I am completing the square and I get the point where I am about the square both sides, but the side on the ri... | 4 | [
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Institute of Industrial Relations
About WTS Prof. Clair Brown Faculty, Students and Affiliates Research Areas Online Research Reports Working Papers
THE COMPETITIVE SEMICONDUCTOR MANUFACTURING HUMAN RESOURCES PROJECT:
Second Interim Report
CSM-32
Clair Brown, Editor
12.3 A Model of Learning by Doing
The lea... | 4 | [
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An Exploration of the Range of Noise Intensity That Affects the Membrane Potential of Neurons
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 801642, 11 pages
http://dx.doi.org/10.1155/2014/801642
Research Article
An Exploration of the Range of Noise Intensity That Affects the Membrane Potential of Neuro... | 4 | [
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Solution to y'' = -W*W*y - Bcos(W*t) ?
July 8th 2007, 09:04 PM #1
Newbie
Joined
Jul 2007
Posts
6
Solution to y'' = -W*W*y - Bcos(W*t) ?
Does anybody know the solution to
y'' = -W*W*y - B cos(W*t)
where W and B are constants and t is time.
y'' is second order derivative of y with respect t... | 5 | [
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Homework Help
Posted by lindsay on Friday, May 4, 2012 at 4:30am.
I need help in understanding how to identify which identity to use. using this question as an example.
Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.
• trigonometry - Steve, Friday, May 4, 2012 ... | 4 | [
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solve for interest rate
August 28th 2008, 01:25 PM
slym34
solve for interest rate
Trying to figure out, without the use of an excel function how to solve for an interest rate of a mortgage knowing the following paramaters.
initial principal balance - 200,000
total interest paid - 279,017.80
years a... | 5 | [
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Continuity of functions - Real Analysis
October 13th 2008, 06:31 AM #1
Junior Member
Joined
Sep 2008
Posts
26
Continuity of functions - Real Analysis
I have a homework assignement due tomorrow morning and I have some idea on how to do this problem but I am not very sure.
Define functions f and g on ... | 5 | [
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Proving n^1/n tends to 1
November 6th 2012, 02:57 AM
alexandria21
Proving n^1/n tends to 1
I need to prove that n^1/n tends to 1 as n tends to infinity.
I have a hint that says write n^1/n=1+h and use Binomial Theorem
Im just not sure where to start.
Any ideas?
November 6th 2012, 03:43 AM
hedi
Re:... | 5 | [
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Practically Efficient Blind Speech Separation Using Frequency Band Selection Based on Magnitude Squared Coherence and a Small Dodecahedral Microphone Array
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 324398, 11 pages
http://dx.doi.org/10.1155/2012/324398
Research Article
Practically ... | 4 | [
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Generalizing the Multimodal Method for the Levitating Drop Dynamics
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 869070, 19 pages
http://dx.doi.org/10.5402/2012/869070
Research Article
Generalizing the Multimodal Method for the Levitating Drop Dynamics
^1Institute of Mathematics, National Academy of Scie... | 4 | [
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Help with integration problem
September 10th 2008, 06:21 AM
Matt164
Help with integration problem
This problem has been worked out for me, but I am confused about what exactly is going on in it.
Problem: Find the indefinite integral.
∫-1/sqrt(1-(2t-1)^2) dt
Step 1: Let u= 2t -1
Step 2: du= 2 d... | 5 | [
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... | 31,623 | 31623 | |
Given that 907 and 997 are primes, use the fact that 907 equiv -997 (mod 28) to calcu
June 7th 2012, 07:31 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Given that 907 and 997 are primes, use the fact that 907 equiv -997 (mod 28) to calcu
Given that $907$ and $997$ are primes, use the fact that $907 \equi... | 5 | [
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0.0... | 31,624 | 31624 | |
Q Field Questions
July 7th 2010, 05:19 AM #1
Member
Joined
Jun 2010
From
United States
Posts
200
Q Field Questions
Hello everybody,
I reached this long section in my book about Q Fields, and after reading through this section, a couple of the examples have me feeling less than enlightened. Here ... | 5 | [
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... | 31,625 | 31625 | |
Series problem with limiting sum
June 8th 2007, 01:44 AM #1
Series problem with limiting sum
A limit problem i have tried for hours now and just cannot wrap my head around
Solution is apparently (1 + x)/(1 - x)^2
any help greatly appreciated,
thanks
jacs
We are adding all of these together. ... | 5 | [
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Homework Help
Posted by Andy on Wednesday, April 14, 2010 at 2:39pm.
A.An observer moving at a speed of 0.810 c relative to a rod measures its length to be 2.00 m and sees its length to be oriented at 30.0 degrees with respect to the direction of motion. What is the
proper length of the rod?
B.What is the orientation... | 4 | [
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-0.052490234375,
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0.0068359375,
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0.04638671875... | 31,627 | 31627 | |
rolle's theorem
for g(x)=x^3 + 3x^2 -2, show that there must ne one real root on [0,2]
someone how do you use rolles theorem to do this one lol
It's a useless detour (at least how I did it is), but since you want it so badly: Let $g_c(x)= \frac{x^4}{4} + x^3 -2x +c=4x(x^3+4x^2-2)+c$ Let $h(x)=x^3+4x^2-2$ then $h(0)<0... | 5 | [
-0.0059814453125,
0.0264892578125,
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-0.0302734375,
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0.0021209716796875,
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0.016... | 31,628 | 31628 | |
Parametric Vector and Scalar equations
February 11th 2013, 06:29 PM
olliethechum
Parametric Vector and Scalar equations
Ive been stuck on this problem for a while now,
Consider the two lines in the xy-plane, given the equations:
L[1]:ax+by=k
L[2]:cx+dy=l
where all four a,b,c and d are nonzero
... | 5 | [
-0.053466796875,
-0.058837890625,
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0.057373046875,
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0.03076171875,
-0.041015625,
0.0859375,
-0.1220703125,
-0.04858398437... | 31,629 | 31629 | |
Converting to Q = ae^kt form
March 1st 2010, 04:18 PM #1
Member
Joined
Apr 2009
Posts
83
Q = 4 * 8^1.3t
How would I convert this into Q = ae^kt form?
The answer in the back of the book says Q = 4e^2.703t but I have tried everything and couldn't get the same answer. Please help me with this probl... | 4 | [
-0.00830078125,
0.10107421875,
0.0693359375,
0.07958984375,
-0.0220947265625,
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0.09033203125,
0.04541015625,
0.0380859375,
0.0673828125,
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0.032958984375,
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-0.1435546875,
0.0272216796875... | 31,630 | 31630 | |
Sum of series to infinite
$\frac{u_{n+1}}{u_n}=\ldots=\frac{n}{n+3}=\frac{ \alpha n+\beta}{\alpha n+\gamma}$ (hipergeometric series) . According to a well known theorem , $S=\frac{u_1\gamma}{\gamma-(\alpha+\beta)}=\ldots=\
frac{1}{4}$
Note that $\frac{1}{n(n+1)(n+2)} = \frac{1}{2}\left(\frac{1}{n} - \frac{1}{n+1}\righ... | 4 | [
-0.07080078125,
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0.055175781... | 31,631 | 31631 | |
Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 818052, 11 pages
http://dx.doi.org/10.1155/2012/818052
Research Article
Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their ... | 5 | [
0.006256103515625,
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0.03515625,
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0.06494140625,
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-0.023193359375,
-0.0598... | 31,632 | 31632 | |
Popularity Evaluation Model for Microbloggers Online Social Network
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 356072, 12 pages
http://dx.doi.org/10.1155/2014/356072
Research Article
Popularity Evaluation Model for Microbloggers Online Social Network
^1College of Computer Science and Tech... | 4 | [
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... | 31,633 | 31633 | |
Le Monde puzzle [#839]
November 15, 2013
By xi'an
number theory Le Monde mathematical puzzle whose R coding is not really worth it (and which rings a bell of a similar puzzle in the past, puzzle I cannot trace…):
The set Ξ is made of pairs of integers (x,y) such that (i) both x and y are written as a sum of tw... | 5 | [
-0.08935546875,
-0.0028076171875,
-0.0595703125,
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-0.... | 31,634 | 31634 | |
Find a spanning set for the space
November 23rd 2010, 05:32 PM
Sharpe116
Find a spanning set for the space
Im not quite sure how to begin this problem
Find a spanning set for the space:
T(A) = {X in R^5 : AX = (A^T)X}
A =
29, 9, 11, -24, -6
9 , 46, -30, -30, -25
11, -30, 95, 36, -10... | 5 | [
-0.0810546875,
-0.0078125,
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-0.05712890625,
-0.06... | 31,635 | 31635 | |
Math Help
May 4th 2009, 06:52 PM #1
Newbie
Joined
May 2009
Posts
16
Max/Min
Let f be the function defined by f(x) = ln absolute value of $\frac{x}{1+ x ^2}$
b) Determine whether f is an even function, odd function or neither. Justify.
c) At what values does f have relative maximum or minimum? ... | 5 | [
0.03662109375,
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0.0703125,
-0.06884765625,
-0.0319... | 31,636 | 31636 | |
predicate logic
March 4th 2009, 01:23 PM #1
Junior Member
Joined
Feb 2009
Posts
44
predicate logic
I have to express this using quantifiers, divisibility, = <= <, etc. “If a natural number is odd, then all its divisors are odd.”
I was thinking of, for all 2x+1, where x is a natural number, if 2x+1 i... | 4 | [
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0.010498046875,
0.0... | 31,637 | 31637 | |
the encyclopedic entry of making secret
In
cryptography
, a
secret sharing
scheme is
verifiable
if auxiliary information is included that allows players to verify their shares as consistent. More formally, verifiable secret sharing ensures that even if the dealer is malicious there is a
well-defined secret that t... | 4 | [
-0.123046875,
0.045166015625,
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0.050048828125,
-0.00543212890625,
-0.0289306640625,
0.033203125,
-0.0015... | 31,638 | 31638 | |
Exponential Decay
October 11th 2008, 06:29 AM #1
Newbie
Joined
Oct 2008
Posts
6
Exponential Decay
A first order exponential decay can be written as
A(t)= Ae^(-t/r)
where A(t) is the amount (of substance) after time t, A is the initial amount at time t=0 and r is the decay time.
The fall time... | 4 | [
-0.08544921875,
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-0.0234375,... | 31,639 | 31639 | |
3 remaining word problems. Algebra 1
November 5th 2008, 10:51 PM #1
Newbie
Joined
Oct 2008
Posts
9
3 remaining word problems. Algebra 1
Okay.. after getting a big packet at the start of the semester, I'm down to 3 problems out of 279 that I have no clue how to do. Please help, I want to know what I'm doi... | 4 | [
0.060546875,
0.0244140625,
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-0.02978515625,
... | 31,640 | 31640 | |
characters of S_n from A_n
December 15th 2009, 03:14 PM
akc2010
characters of S_n from A_n
Using Frobenius Reciprocity, derive the character table of S_n from that of A_n when
(a) n = 3
(b) n = 4
(c) n = 5
December 15th 2009, 10:10 PM
aliceinwonderland
Quote:
This is for n=5.
The ch... | 4 | [
-0.047607421875,
0.0120849609375,
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0.020751953125,
-0.01025390625,
-0.011840820312... | 31,641 | 31641 | |
the encyclopedic entry of un-necessarily
In
mathematics
, the
Jacobi elliptic functions
are a set of basic
elliptic functions
, and auxiliary
theta functions
, that have historical importance with also many features that show up important structure, and have direct relevance to some applications (e.g. the equat... | 4 | [
-0.140625,
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0.0344... | 31,642 | 31642 | |
Slope Field with Solution Passing Through Point
February 11th 2010, 06:36 PM
pcannons
Slope Field with Solution Passing Through Point
Hi,
This is for Calc II homework..
The figure below shows the slope field for the equation y' = sin (x) cos (y).
(If you want I can post the picture, but I don't th... | 5 | [
-0.1318359375,
0.046875,
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0.044677734375,
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0.06201171875,
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0.042724609375,
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0.039794921875,
-0.08935546875,
-0.0698242... | 31,643 | 31643 | |
Ugh, blanking out --- complex numbers, exponents...
July 7th 2010, 09:47 PM #1
Member
Joined
Mar 2010
Posts
175
Ugh, blanking out --- complex numbers, exponents...
solve $(1-i)^{2009}$
Attempt:
r = $\sqrt{2}$
tan $\Theta$ = -1 $\rightarrow$ tan $\Theta$ = $\frac{7\pi}{4}$
so...
$... | 4 | [
-0.05126953125,
0.005584716796875,
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-0.0157470703125,
... | 31,644 | 31644 | |
Linear Algebra- Normal and Self-Adjoint Operators
December 4th 2007, 12:30 AM #1
Newbie
Joined
Oct 2007
Posts
6
Let T be a linear operator on an inner product space V. Determine whether T is normal, self-adjoint, or neither. If possible, produce an orthonormal basis of eigenvectors of T for V and list the... | 4 | [
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0.029052734375,
0.0186767578125,
-0.04125... | 31,645 | 31645 | |
lenght of a curve
August 10th 2009, 08:10 AM #1
Member
Joined
Jul 2009
Posts
127
lenght of a curve
Find the length of the curve defined by
y=3x3–11
from x=2 to x=10.
ok i think that
L= integral from 2 to 10 sqrt((dx/dt)^2+(dy/dt)^2)dt
dx/dt would be 3x^3/2-11
do i get dy/dt by... | 5 | [
0.00799560546875,
-0.07421875,
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0.0654296875,
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0.036865234375,
-0.049072265625,
... | 31,646 | 31646 | |
Determining continuity of function.
April 18th 2009, 02:50 AM #1
Junior Member
Joined
Jan 2009
Posts
36
Determining continuity of function.
I have a question on my homework that I'm not quite sure how to solve, the textbook as usual has no examples resembling this type of question, and its just been gett... | 4 | [
-0.004547119140625,
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0.05419921875,
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0.0118408203125,
0.06201171875,
-0.046875,
0.005584716796875,
0.01434326171875,
... | 31,647 | 31647 | |
Probability Vectors
Show that when x is a probability vector and A is a stochastic matrix, then Ax is another probability matrix
You mean "then Ax is another probability vector". What are your precise definitions of "probability vector" and "stochastic matrix"?
Yes, sorry. We say a vector X in Rn is a probability vec... | 4 | [
0.032958984375,
-0.0269775390625,
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0.04296875,
0.0205078125,
... | 31,648 | 31648 | |
Simultaneous Equation
December 13th 2012, 03:46 AM
kermola
Simultaneous Equation
Hiya,
I need to find the range of values of k which give distinct roots, given the following 2 equations:
kx + y = 3
x^2 + y^2 = 5
Thanks guys.
Kermola
December 13th 2012, 05:34 AM
emakarov
Re: Simultaneou... | 4 | [
-0.047607421875,
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0.00375366210... | 31,649 | 31649 | |
Infiltration: Just ACH50 Divided by 20?
This article was originally published in the January/February 1994 issue of Home Energy Magazine. Some formatting inconsistencies may be evident in older archive content.
| Back to Contents Page | Home Energy Ind... | 5 | [
-0.037353515625,
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-... | 31,650 | 31650 | |
more integrals
$\int \sin (101x) \sin^{99} x \ dx$ $\int_{0}^{1} \frac{\tan^{-1} x}{1+x} \ dx$
If $y=\sin(100x)\sin^{100}x$ then $y'=100\cos(100x)\sin^{100}x+100\sin(100x)\sin^{99} x\,\cos x$$=100[\sin(100x)\cos x+\cos(100x)\sin x]\sin^{99}x=100\sin(101x)\sin^{99}x$, which quickly leads to the
answer. Consider the int... | 5 | [
0.05810546875,
0.03515625,
0.06396484375,
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0.07177734375,
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0.02734375,
0.03173828125,
-0.... | 31,651 | 31651 | |
Definitions of Six Sigma, What is Six Sigmadefinitionsofsixsigma
Non-technical Definition Of Six Sigma
Six Sigma management is the relentless and rigorous pursuit of the reduction of variation in all critical processes to achieve continuous and breakthrough improvements that impact the bottom-line and
/ or top-line of... | 4 | [
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-0.044677734375,
-0.005584716796875,
-0.056396484375,
-0.0183105468... | 31,652 | 31652 | |
integration by parts
October 18th 2009, 06:08 AM #1
Member
Joined
Feb 2009
Posts
91
integration by parts
Hi the question is evaluate the integral
integral sign (S) cos^-1 (2x) dx using integration by parts
SO I let t = 2x so dt = 2 dx so dx= dt/2
So the original equation becomes S cos^-1 t ... | 5 | [
0.018310546875,
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0.03173828125,
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-0.0380859375,
-0.06298828125,
0.05126... | 31,653 | 31653 | |
Recursion via Pascal
by J. S. Rohl is one of a small number of books devoted entirely to recursion in programming. Recursion is a technique where a problem is defined in terms of a simpler version of itself.
The book has over 100 examples and although the code is in Pascal it shouldn't pose too much of a problem for ... | 4 | [
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0.03125,
0.04931640625,
-0.052001953125,
0.02587890625,
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-0.01324462890625,
0.05810546875,
-0.0296630859375,
-0.0284423828125,
-0.01318359375,
-0.04052734375,
0.09130859... | 31,654 | 31654 | |
Find the Arc Length of a Vector Function
February 11th 2013, 05:42 PM #1
Member
Joined
Oct 2009
From
Detroit
Posts
157
Thanks
5
Find the Arc Length of a Vector Function
the given vector and the bounds of integration are;
$r_{0}=\langle\sqrt{2},e^t,e^{-t}\rangle; 0\leq t \leq 1$
different... | 5 | [
0.0625,
-0.013916015625,
0.04248046875,
-0.03955078125,
0.0257568359375,
0.03515625,
-0.025146484375,
0.1484375,
-0.048828125,
0.0654296875,
0.01177978515625,
0.0654296875,
-0.0010528564453125,
0.01373291015625,
-0.057861328125,
0.042236328125,
-0.032958984375,
-0.08935546875,
-0... | 31,655 | 31655 | |
Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria
Advances in Fuzzy Systems
Volume 2012 (2012), Article ID 521080, 9 pages
http://dx.doi.org/10.1155/2012/521080
Research Article
Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria
^1School of Humanit... | 4 | [
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0.0576171875,
-0.... | 31,656 | 31656 | |
PRECALCULUS HELP PLEASE!
Posted by YOSHI on Saturday, April 16, 2011 at 1:26am.
convert the polar equation to rectangular form.
1.) r sec(theta) = 3
2.) r = 4 cos(theta) - 4 sin(theta)
convert from rectangular equation to polar form.
1.) x^2 + (y-1)^2 = 1
2.) (x-1)^2 + (y+4)^2 = 17
• PRECALCULUS HELP PLEASE! -... | 4 | [
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Factor exponent
$K \lhd G$ has index $m$ , show that $g^m \in K$ for all $g \in G$ Thanks guys
order will be $g^m=1$ where m is the copies of g
So, If Kg was raised to the mth power, it would be come the inverse, bringing Kg back to K
So, $kg^mk^{-1}=k \in K$ because $K\lhd G$ then $g^m\in K$
Uuuh?? Ok, let us go b... | 5 | [
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... | 31,658 | 31658 | |
Counting
Counting Techniques
This page presents a fuller discussion of counting techniques which were employed in calculating combinations for the binomial distribution. A reasonable sequential approach considers the following
[all of which are relevant to "without replacement" problems]: The basic question of how ma... | 4 | [
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0.1328125,
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0.0017... | 31,659 | 31659 | |
Coefficient Matrix Question
June 3rd 2009, 03:05 AM #1
Newbie
Joined
Mar 2009
Posts
5
Coefficient Matrix Question
Here is the question I am having difficulty with:
If the echelon form of the coefficient matrix of a homogeneous system of linear equations is:
1 2 3 0 2 1
0 0 1 1 2 0
0 0 0... | 5 | [
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0.059814453125,
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-0.004425048828125,
-0.049560546875,
0.0230712890625,
-0.087890625,
-0.08642... | 31,660 | 31660 | |
Homework Help
Posted by sphere on Tuesday, August 23, 2011 at 11:56am.
First of all let me apologize if this is the wrong section; this is a review question from a Calculus III class, but it doesn't involve any actual calculus so I posted it here.
If I have a sphere with center (2,-10,4) and radius 10 what is:
the i... | 4 | [
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-0.0... | 31,661 | 31661 | |
Euler totient function
Hi, Can someone please tell me how to compute the Euler totient function for large values of n? e.g n=3800.
Me I fire up Euler and type: Code: >load "C:\Documents and Settings\CB\My Programs\Euler23\Euler Utils\number theory.e"; > > >EulerTotient(3800) 1440 >Where EulerTotient is defined as: Cod... | 5 | [
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-0.0310058... | 31,662 | 31662 | |
Homework Help
Posted by nesri on Tuesday, October 5, 2010 at 8:06am.
A shark, looking for dinner, is swimming parallel to a straight beach and is 90 meters offshore. The shark is swimming at a constant speed of 30 meter per second. At time t = 0, the shark is directly
opposite a lifeguard station. How fast is the shar... | 5 | [
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-0.014465332031... | 31,663 | 31663 | |
Help- Newton - Raphson Method
July 11th 2006, 02:17 PM
fair_lady0072002
Help- Newton - Raphson Method
Consider the function f(x) = x- 4 In x
Show that the equation f(x) = 0 has a solution in the interval (1,2)
Show that for this function f the Newton - raphson method formula can be expressed as xn +1 =... | 5 | [
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-... | 31,664 | 31664 | |
A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 197219, 4 pages
http://dx.doi.org/10.1155/2013/197219
Research Article
A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System
International I... | 5 | [
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0.... | 31,665 | 31665 | |
Strange angle differentiation
May 31st 2008, 06:53 PM
Blackstar347
Strange angle differentiation
Ok first time being here but I could use some help. The problem is this.
-There are 2 blood vessels seperated by angle X
-These two blood vessels have radii of R and r respectively
-The length "a" is the... | 5 | [
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0.0... | 31,666 | 31666 | |
search results
Expand all Collapse all Results 1 - 3 of 3
1. CJM 2001 (vol 53 pp. 434)
Values of the Dedekind Eta Function at Quadratic Irrationalities: Corrigendum
Habib Muzaffar of Carleton University has pointed out to the authors that in their paper [A] only the result \[ \pi_{K,d}(x)+\pi_{K^{-1},d}(x)=\... | 4 | [
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0.04248046875,
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0.00726318359375,
0.00408935546... | 31,667 | 31667 | |
al
Finding all roots for a polynomial with either real or complex coefficients.
Let the polynomial be given by:
f(x)=a[n]x^n+a[n-1]x^n-1....a[1]x+a[0]
Where a
[n]
is either a real or complex number. We try to find all roots to this polynomial by solving the equation for x.
a[n]x^n+a[n-1]x^n-1....a[1]x+a[0]=0
The... | 4 | [
-0.11865234375,
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-0.003875732421875,
-0.0009918212890625,
-0.0238037109375,
0.0028533935546875,... | 31,668 | 31668 | |
Math Help
September 11th 2009, 02:08 AM #1
Junior Member
Joined
Sep 2008
Posts
39
Bijection
.to construct a bijection
between [0,1] and [0,1)......................
I just think it is impossible , cuz the second one is one element less than the first....
Well by that logic it would then b... | 5 | [
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0.0296630859375,
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0.0081787109375,
0.020263671875,
-0.03... | 31,669 | 31669 | |
Homework Help
Posted by ramana on Wednesday, June 18, 2008 at 3:36pm.
what rate willl an amount double itself in 20 years at simple interest?
• 10th - DrBob222, Wednesday, June 18, 2008 at 3:59pm
(1.00+x)^20 = 2 where x is the percent. If we call 1.00 + x = Y, then
(Y)^20 = 2
20*log(Y) = log 2
20*l... | 4 | [
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-0.126953125,
-0.02355... | 31,670 | 31670 | |
polya strikes out
April 29th 2007, 07:58 AM #1
Junior Member
Joined
Feb 2007
Posts
32
polya strikes out
Write down the numbers 1,2,3,4,... in a row Srike out every third
so
we are left with 1,2,4,5,7,8,10... now write their cumulative sums
of what remains. We are given
1,3,7,12,19,27,37..... | 5 | [
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-0.0986328125,
-... | 31,671 | 31671 | |
reddit's stories are created by its users
Is there something going on with signal processing? by jubjub7in ECE
[–]ButteryGreg0 points1 point2 points
Hmm, that is a bit tricky. I don't have too much experience specifically in industry with this because I'm still a grad student, but based on our group's needs and our... | 5 | [
-0.091796875,
-0.037841796875,
0.0296630859375,
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0.09912109375,
0.02685546875,
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0.032470703125,
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-0.004913330078125,
0.076171875,
0.00823974609375,
0.1259765625,
-0.01422... | 31,672 | 31672 | |
Finite-dimensional subspaces..?
May 5th 2009, 05:51 AM #1
Finite-dimensional subspaces..?
Let U, V, W be finite-dimensional subspaces of a real vector space. Show dim U + dim V + dim W - dim (U + V + W) greater or equal to max {dim (U intersection V), dim (V intersection W), dim (U
intersection W)}.
- as... | 5 | [
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... | 31,673 | 31673 | |
Trigonometric Ratio Problems
April 26th 2010, 07:03 AM #1
Newbie
Joined
Dec 2009
Posts
9
Trigonometric Ratio Problems
10) Three circles with centres A, B and C are mutually tangent and no circle lies inside another circle. The circle with centre A has a radius of 3 cm and the circle with centre B has a r... | 4 | [
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0.08935546875,
0.000682830810546875,
-0.072753906... | 31,674 | 31674 | |
State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Systems
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 151374, 8 pages
http://dx.doi.org/10.1155/2013/151374
Research Article
State-Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time-Delay Sy... | 5 | [
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0.03271484375,
-0.0446777... | 31,675 | 31675 | |
Locus of 2 gradients?
August 8th 2006, 10:30 PM #1
Junior Member
Joined
May 2006
From
Sydney, Australia
Posts
44
Locus of 2 gradients?
I didn't know which forum to put it in, but I thought this was the most appropriate.
This is the question:
Given two points A(3,-2) and B(-1,7), find the equ... | 4 | [
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-0.0869140625,
-0.0358886... | 31,676 | 31676 | |
Simple Differential eq
Is this correct? $\frac{dy}{dx} = 3x^2y$ $\frac{1}{y} dy = 3x^2dx$ $\int\frac{1}{y}dy= \int(3x^2dx)$ $\ln|x| = x^3dx + C$
Last edited by xterminal01; January 2nd 2010 at 07:08 AM.
Almost. Just finish up. $y=e^{x^{3}+C}$ $y=e^{x^{3}}\cdot e^{C}$ But, $e^{C}$ is a constant we can call, say, K. $y... | 5 | [
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0.002777099609375,
-0.084472656... | 31,677 | 31677 | |
Optimization Problems (time & distance)
July 25th 2009, 05:35 AM #1
Newbie
Joined
Mar 2009
Posts
12
Hi everyone, I'm having some trouble with these 2 problems. Hope you can help me out.
1. A toy tugboat is launched from the side of a pond and travels north at 5 cm/s. At the same moment, a toy launch ... | 5 | [
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-0.019... | 31,678 | 31678 | |
Integration of dx/[(1-2x)^2*(3-x)]
March 17th 2009, 12:03 AM #1
Newbie
Joined
Mar 2009
Posts
10
Integration of dx/[(1-2x)^2*(3-x)]
I have attempted to solve this integration problem by parts but I have not been able to arrive at the final answer. Can anyone help?
Problem: integration of dx/[(1-2x)^2... | 5 | [
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-0.019775390625,
-0.005279541015625,
0.0179443359375,
0.03369140625,
0.0039367675... | 31,679 | 31679 | |
Modeling Hysteresis with Inertial-Dependent Prandtl-Ishlinskii Model in Wide-Band Frequency-Operated Piezoelectric Actuator
Smart Materials Research
Volume 2012 (2012), Article ID 164062, 15 pages
http://dx.doi.org/10.1155/2012/164062
Research Article
Modeling Hysteresis with Inertial-Dependent Prandtl-Ishlinskii Mod... | 4 | [
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A question in Multivariable Calculus
November 29th 2006, 04:48 AM
Jenny20
A question in Multivariable Calculus
Question
(1/3sqrt(2) )*<1,1,4> is a unit vector pointing in a direction opposite to the vector <-3,-3,-12>.
The answer is TRUE
Can you show me the working step of this question? Thank you ... | 4 | [
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0.06201171875,
0.0205078125,
-0.06103515625,
-0.03271484375,
-0.00506591796875... | 31,681 | 31681 | |
problem on Trace of the sum of two matrices
October 17th 2012, 07:37 AM #1
Member
Joined
Jul 2009
Posts
111
Thanks
1
The following question is in the exercise of my text book.
A is 4x4 matrix with 1,-1,2 and -2 as its four eigen values. If B = A^4 - 5A^2 + 5I, which of the following is true?
... | 5 | [
-0.036865234375,
0.003021240234375,
0.00286865234375,
-0.060546875,
-0.012451171875,
-0.0225830078125,
0.0419921875,
-0.0771484375,
-0.037841796875,
-0.01171875,
0.044921875,
-0.0272216796875,
-0.0013580322265625,
0.0029144287109375,
-0.06640625,
0.06982421875,
-0.01953125,
-0.0488... | 31,682 | 31682 | |
How would I factor these polynomials completely?
August 29th 2007, 07:08 PM #1
Junior Member
Joined
Aug 2007
Posts
58
How would I factor these polynomials completely?
I was supposed to factor $16p^2-64$, and following the steps I ended up with $8(2p^2-8)$ I don't think that's factored COMPLETELY though?
... | 4 | [
-0.01409912109375,
0.0184326171875,
0.02197265625,
0.05859375,
0.0269775390625,
0.0322265625,
-0.036865234375,
0.0208740234375,
-0.1142578125,
-0.060302734375,
0.013671875,
0.0301513671875,
-0.0024261474609375,
0.0791015625,
-0.019775390625,
0.06689453125,
0.01483154296875,
0.03857... | 31,683 | 31683 | |
How to get this matrix to RREF
July 6th 2010, 07:24 PM
Jasked
How to get this matrix to RREF
I'm just trying to figure out how to get this to rref:
x + 5y + z = 0
x + 6y - z = 0
2x + ay + bz = c
1 5 1 0
1 6 -1 0
2 a b c
I know the following is the answer, but I'm now sure how to get... | 5 | [
-0.12158203125,
0.004730224609375,
-0.068359375,
-0.0264892578125,
0.006561279296875,
0.03515625,
-0.07861328125,
-0.01470947265625,
-0.06591796875,
0.0213623046875,
-0.0576171875,
-0.036376953125,
0.021484375,
-0.0157470703125,
-0.056640625,
0.042236328125,
-0.1025390625,
-0.01519... | 31,684 | 31684 | |
Math Help
June 16th 2008, 01:27 PM #1
Junior Member
Joined
Apr 2008
Posts
30
Trig
Heres the question, a full solution step by step is great as i already know the process to answer a question like this but have trouble doing so.\
$tanx-sinx/tanxsinx = tanxsinx/tanx+sinx$
Hi again !
I must ... | 4 | [
-0.1279296875,
0.0498046875,
0.09228515625,
0.031982421875,
-0.01092529296875,
0.0556640625,
0.03173828125,
-0.05126953125,
-0.055908203125,
0.0289306640625,
0.10107421875,
-0.08837890625,
0.01287841796875,
0.06103515625,
0.04931640625,
0.025634765625,
-0.007232666015625,
0.0500488... | 31,685 | 31685 | |
Euler's Theorem Questions
October 7th 2010, 07:46 AM #1
Member
Joined
Nov 2008
Posts
152
Euler's Theorem Questions
1) Find the last digit of the decimal expansion of $7^{999,999}$
2) Show that if a is an integer such that a is not divisible by 3 or such that a is divisible by 9, then $a^7$ = a (mod ... | 5 | [
-0.052001953125,
0.01312255859375,
0.0111083984375,
-0.03125,
0.10791015625,
0.0220947265625,
0.1513671875,
0.09375,
-0.02880859375,
0.00775146484375,
0.06298828125,
0.00689697265625,
-0.01092529296875,
0.039794921875,
-0.00160980224609375,
-0.00037384033203125,
-0.10546875,
0.0112... | 31,686 | 31686 | |
(CALC) limits problem • /r/cheatatmathhomework
all 12 comments
[–]needuhLee0 points1 point2 points
sorry, this has been archived and can no longer be voted on
[–]needuhLee0 points1 point2 points
sorry, this has been archived and can no longer be voted on
Probably because the proof of L'Hopital's rule requires a lo... | 5 | [
-0.1064453125,
0.056396484375,
-0.0281982421875,
0.0732421875,
0.010009765625,
-0.00732421875,
-0.017333984375,
-0.0390625,
-0.0024566650390625,
0.0908203125,
0.07568359375,
-0.08154296875,
-0.02197265625,
0.15234375,
0.0303955078125,
-0.03662109375,
-0.091796875,
0.033447265625,
... | 31,687 | 31687 | |
Vectors-finding distance
Find the distance of coordinate (1,0,0) from the line r=t(12i-3j-4k)
kingkaisai2 Although there is a formula, use the following(you can derive the formula using it) One thing I want to say is that the distance between a line and a point is the length of the
perpendicular drawn from the the poi... | 5 | [
-0.03955078125,
0.10693359375,
-0.1240234375,
-0.10302734375,
-0.0830078125,
0.07861328125,
0.059814453125,
0.0791015625,
0.0223388671875,
0.02490234375,
0.05126953125,
-0.0184326171875,
0.027587890625,
0.087890625,
-0.0625,
0.04736328125,
-0.035400390625,
0.0260009765625,
-0.005... | 31,688 | 31688 | |
linear algebra
how do i know that if A*A^-1=I then A^-1*A=I when A is a matrix
You do not. You need to show that. Matrix Multiplication is not commutative. Though it is interesting, if something is left inverse is it right inverse, by square matrices? I do not think so, (In
general groups the answer is no, but these a... | 5 | [
-0.1005859375,
-0.031494140625,
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0.087890625,
-0.06640625,
-0.08251953125,
0.00433349609375,
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-0.00762939453125,
-0.0189208984375,
-0.009765625,
0.020751953125,
0.009765625,
-0.0208740234375,
-0.0208740234375,
0.0537109375,
-0.046630859375,
0.0402832031... | 31,689 | 31689 | |
Homework Help
Posted by jule on Thursday, August 9, 2012 at 6:13pm.
john has a loan but doesn't begin to repay his loan for 11 months, at a rate of $500 every month of four month. the interest rate is 8% compounded monthly determin the size of the loan using the
following 2 steps
1. calculate the present value, pv1 o... | 5 | [
-0.0439453125,
0.068359375,
0.00799560546875,
-0.052978515625,
-0.00927734375,
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0.0888671875,
0.007080078125,
0.046630859375,
0.061279296875,
0.00433349609375,
-0.005584716796875,
0.03564453125,
-0.037109375,
0.052490234375,
-0.1142578125,
-0.01159... | 31,690 | 31690 | |
function is defined by folliowing rule question.
December 8th 2009, 09:30 PM
thcbender
function is defined by folliowing rule question.
a function is defiend by the following rule:
f (x) is
0 if x lesser than/equal to -3
-1 if -3<x<0
x if x is greater then or equal to 0
find i) F (-3) + f... | 4 | [
-0.0174560546875,
0.0257568359375,
0.0037384033203125,
0.0439453125,
0.01531982421875,
0.0172119140625,
0.00193023681640625,
0.0625,
0.0013275146484375,
-0.0118408203125,
0.02099609375,
-0.04638671875,
0.05859375,
0.04638671875,
0.004974365234375,
-0.0145263671875,
-0.078125,
-0.04... | 31,691 | 31691 | |
Uncomputability of the identity relation on computable real numbers
up vote 3 down vote favorite
1
Let $f_{=}$ be a function from $\mathbb{R}^{2}$ be defined as follows: (1) if $x = y$ then $f_{=}(x,y) = 1$; (2) $f_{x,y} = 0$ otherwise.
I would like to have a proof for / a reference to a textbook proof of the followi... | 5 | [
0.003448486328125,
-0.0791015625,
-0.08447265625,
-0.004180908203125,
-0.005126953125,
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0.01025390625,
-0.0159912109375,
0.05078125,
-0.024658203125,
-0.0272216796875,
0.06982421875,
0.0299072265625,
0.05322265625,
-0.0184326171875,
-0.0281982421875,
-0.0230712890625,
... | 31,692 | 31692 | |
Sequences (arithmetic/geometric)
October 29th 2009, 02:16 AM #1
Junior Member
Joined
Aug 2009
Posts
31
Sequences (arithmetic/geometric)
Let ak= 3^k,
bk=5k-3 and
ck= ak+bk
=3^k +5k-3
a/ which type of sequence is ak and write out a formula for the value of a1+a2+...+an.
b/ which type ... | 4 | [
-0.08056640625,
-0.0162353515625,
-0.07421875,
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0.04052734375,
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-0.0166015625,
0.036865234375,
0.055419921875,
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-0.08984375,
-0.00933837890625,
0.006378173828125,
0.036865234375,
0.04638671875,
-0.040771484375,
0.0147705078... | 31,693 | 31693 | |
Simple Linearization Problem
February 20th 2011, 05:56 PM #1
Member
Joined
Jan 2011
Posts
156
Simple Linearization Problem
I must be losing my mind because I've been over and over this one and can't see what I am doing wrong:
Find the linearization L(x) of the function $f(x) = cos(x)$ at $a = \frac{... | 4 | [
-0.052490234375,
-0.05908203125,
0.0037841796875,
-0.016357421875,
0.017822265625,
0.06640625,
-0.06396484375,
-0.0038604736328125,
0.004119873046875,
0.10791015625,
0.173828125,
-0.03662109375,
0.0546875,
-0.07177734375,
0.004974365234375,
-0.0137939453125,
-0.0732421875,
-0.04833... | 31,694 | 31694 | |
Related rates of change.
June 19th 2010, 02:31 AM #1
Junior Member
Joined
Dec 2007
Posts
41
Related rates of change.
A cylindrical container of fixed length 90 cm is being pressure tested, and the radious id increasing at a constant rate of .01 cm/min. WHen the redious is 25 cm, find the rate of the chan... | 4 | [
0.0086669921875,
0.060302734375,
0.0167236328125,
-0.05322265625,
0.042724609375,
-0.025390625,
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0.0673828125,
-0.042236328125,
0.01092529296875,
0.00335693359375,
-0.037109375,
0.0673828125,
0.11279296875,
-0.0220947265625,
-0.035400390625,
-0.006103515625,
0.066894... | 31,695 | 31695 | |
Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 340574, 17 pages
http://dx.doi.org/10.1155/2013/340574
Research Article
Oscillatory and Asymptotic Properties on a Class of Third Nonlinea... | 5 | [
0.01080322265625,
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0.0703125,
0.10205078125,
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-0.02197265625,
0.0181884765625,
0.0106201171875,
0.050048828125,
... | 31,696 | 31696 | |
Differential Equation help
December 5th 2009, 12:16 PM #1
Differential Equation help
I have the DE, $\frac{dP}{dt} = B_0e^{-at}P$, which I've solved to give $P = P_0 e^{\frac{B_0}{a}\left(1 - e^{-at}\right)}$.
I'm also given that $B(t) = B_0e^{-at}$ and that $P(0) = P_0$.
Q) Suppose that at time $t = 0$... | 5 | [
-0.078125,
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0.023193359375,
0.0284423828125,
0.072265625,
-0.0712890625,
-0.05078125,
-... | 31,697 | 31697 | |
Math Help
October 27th 2009, 01:49 PM #1
ring
Let $I$ and $K$ be ideals in a ring $R$ with $J \subseteq I$. Prove that $I/K = \{a+K: a \in I \}$ is an ideal in the quotient ring $R/K$.
Closure under subtraction follows from the fact that $I$ is an ideal.
Suppose $r+K \in R/K$ and $a+K \in I/K$. Then $(... | 4 | [
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0.08154296875,
-0.06884765625,
-0.072265625,
-0.01458740234375,
0.027587890625,
0.09... | 31,698 | 31698 | |
How to simplify an equation?
August 27th 2013, 04:55 PM
tabibito
How to simplify an equation?
Hello,
I have the following problem. There are known dependencies between variables.
$a = a1 + a2.$
$C = C1 + C2.$
$C = \frac{a}{{{{\left( {1 + d} \right)}^t}}},C1 = \frac{{a1}}{{{{\left( {1 + d1} \ri... | 5 | [
-0.003173828125,
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0.0947265625,
0.006011962890625,
... | 31,699 | 31699 |