content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
induction proof vectors
March 6th 2007, 11:22 AM
faure72
induction proof vectors
i have to do a lin. algebra induction proof, and i'm not sure how to go about it. here it is:
let x1,....xn+1 (that means x sub 1 through x sub n+1...sorry, i dont know how to do subscripts on this thing) be vectors in the set ... | 5 | [
-0.11083984375,
0.0047607421875,
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-0.0299072265625,
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0.054931640625,
0.103515625,
-0.029052734375,
0.000942230224609375,
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-0.07080078125,
-0.039306640625,
0.0927734375,
-0.049072265625,
-0.076171875,
0.06494140625,
-0.0205078125,
-0.05102... | 21,900 | 21900 | |
Convergence of complex series
April 5th 2011, 05:13 AM #1
Newbie
Joined
May 2009
Posts
8
Convergence of complex series
Hi guys, I think this is easy, but I keep getting stuck!
"Prove the series $\sum_{n=1}^{\infty} (1+n)^{-z}$ converges for all complex z with real part strictly greater than 1."
... | 5 | [
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0.07... | 21,901 | 21901 | |
Patent US4856031 - Adaptive multiharmonic phase jitter compensation
Publication number US4856031 A
Publication type Grant
Application number US 07/187,285
Publication date Aug 8, 1989
Filing date Apr 28, 1988
Priority date Apr 28, 1988
Fee status Paid
Also published as CA1338041C, DE68913070D1,... | 4 | [
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0.01721191... | 21,902 | 21902 | |
Limit problem
August 25th 2012, 06:51 AM #1
Newbie
Joined
Aug 2012
From
Croatia
Posts
23
Limit problem
I need to found a limit, x->0 of (e^x + sinx)^ctgx, but without L'Hospital rule. I know how to get it with L'H, and I see it is 1^inf form, and i need to get it on form 1 + somthing, but how ?
A... | 5 | [
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-0.008... | 21,903 | 21903 | |
Solving Trigonometric equation
February 8th 2010, 04:31 PM #1
Newbie
Joined
Dec 2009
Posts
9
Solving Trigonometric equation
Hi,
Looking for help with this problem---I'm stumped because I get different answers than the book.
Here's the problem:
(2sin^2)(2x) = 1
The book gets the following... | 4 | [
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-0.0... | 21,904 | 21904 | |
Find the Speed
November 25th 2008, 10:16 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find the Speed
During the first part of a trip, a canoeist travels 37 miles at a certain speed. The canoeist travels 7 miles on the second part or the trip at a speed 5 mph slower. The total time for t... | 4 | [
0.05419921875,
0.055419921875,
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0.04... | 21,905 | 21905 | |
Two-Dimensional Matrix Algorithm Using Detrended Fluctuation Analysis to Distinguish Burkitt and Diffuse Large B-Cell Lymphoma
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 947191, 8 pages
http://dx.doi.org/10.1155/2012/947191
Research Article
Two-Dimensional Matrix Algorithm Using... | 4 | [
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Index/Isomorphism/Quotient Group answer check
February 18th 2010, 03:40 AM #1
Index/Isomorphism/Quotient Group answer check
Let $H$ be a subgroup of a group $G$ and let $X$ be the set of left cosets $xH$ of $H$ in $G$.
1). Show that $g.xH=gxH \ (g,x \in G)$ defines an action of $G$ on $X$.
I know that $... | 5 | [
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taylor's inequality
November 3rd 2010, 10:43 PM
pirateboy
taylor's inequality
I just want to make sure I'm doing this right.
So we're given the funciton
$f(x) = x \ln(x)$
we're first asked to find the 4th degree taylor polynomial centered at $a=1$
we're then asked to use taylor's inequality to... | 5 | [
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F=ma in relativistic terms
hover
In Newtonian Physics, a force on a object is equal to its mass times acceleration. This is Newton's Second Law. But in relativity, when the acceleration approaches the speed of light, Newton's Second
Law starts to become less accurate because to accelerate a mass more you must keep a... | 4 | [
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Patent US6691091 - Method for additive and convolutional noise adaptation in automatic speech recognition using transformed matrices
The following application is a continuation-in-part of U.S. patent application Ser. No.: 09/551,001 filed Apr. 18, 2000. U.S. Pat. No. 6,529,872
BACKGROUND AND SUMMARY OF THE INVENTION
... | 4 | [
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Calculating Power Factor
Calculating Power Factor | next
As a commercial customer, it is important to understand how power factor is calculated, since you may be charged a reactive power fee if your facility's power factor is below 95%.
The power factor triangle below illustrates how real power, reactive power an... | 4 | [
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triangle inequality
April 24th 2010, 08:57 AM #1
triangle inequality
Could I use thhe triangle inequality to perform the following:
$\frac{|a-b|}{2}\leq \frac{|a|}{2} - \frac{|b|}{2}$?
I cant seem to find a proof of why you can do this is if you can...
I don't think so. The triangle inequality impl... | 4 | [
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0.000200271606445312... | 21,912 | 21912 | |
More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field
Journal of Gravity
Volume 2013 (2013), Article ID 782512, 10 pages
http://dx.doi.org/10.1155/2013/782512
Research Article
More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field
^1Eurasian International Center for T... | 4 | [
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0.0166015625,
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Inequality
April 9th 2011, 06:13 AM
aonin
Inequality
Hey guys I'm confused whether I doing these right, I used 2 different methods to solve this problem, and they seem to be giving different answers
$\text{solve} \dfrac{1}{x-3}> 4$
1st method:
$\dfrac{1}{x-3}> 4$
$\dfrac{1}{(x-3)^2}>16$
... | 4 | [
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... | 21,914 | 21914 | |
finding a polynomial from another
May 29th 2012, 11:23 PM
pranay
finding a polynomial from another
Hi, given a polynomial, how can one find another from it satisfying a condition. E.g if a given polynomial equation is f(x) ,we need to find another polynomial , g(x) ,with the relation that g(0)
=0 and g(x)-g(... | 4 | [
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0.0576... | 21,915 | 21915 | |
Combinatorics HELP
April 13th 2008, 09:51 AM #1
Newbie
Joined
Apr 2008
Posts
2
Combinatorics HELP
Let a1, a2, a3, a4 ,a5, be any distinct positive integers. Show that there exists at least one subset of three integers whose sum is divisible by 3.
what is the answer to this...plzz HELPP!!!
Have ... | 4 | [
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check my substitution to find indefinate integral
Integral of x^2+2 / x^3 + 6x + 3
u = x^3+6x + 3
du = 3x^2 + 6 = (1/2) du
(1/2) integral of du/u = (1/2) ln|u| + c
= (1/2)ln |x^3+6x+3| + C
ja oder nein?
| 5 | [
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0.03857... | 21,917 | 21917 | |
Complex An
May 6th 2008, 11:08 AM #1
Newbie
Joined
May 2008
Posts
1
Hey I really need help with this questions, I honestly don't even know where to start...
1)Explain why F(z)=e/\(z/\2) has an anti derivative in the whole plane?
/\ is the exponent carrot thingy
$F(z)=e^{z^2}$
This is a ... | 4 | [
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Reactive Power Apparent Power Issue
hi azaharak!
azaharak
HERE IS THE QUESTion.
I see often that the Apparent power S = P + i*Q.
no, that's the
complex power
the apparent power is V
[rms]
I
[rms]
… it's voltage times current
Unfortunately it is never throuroughly defined. Why would would be adding the Aver... | 4 | [
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Finiteness of X(k)/B for Rational Surfaces
by hilbertthm90 4 Comments
Recall our setup. We start with a projective surface ${X/k}$ that becomes rational after some finite extension of scalars ${k'/k}$. Let ${C_0(X)}$ be the group of ${0}$-cycles of degree ${0}$. Last
time we defined the Manin pairing ${(-,-): C_0(X)... | 4 | [
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Financial model using integral
financial model using integral
Find the amount in a savings aacount after one year if the initial balance in the account was $1,000, if the interest is paid continuously into the account at a nominal rate of 10% per annum,
compounded continuously, and if the account is being continuously... | 4 | [
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Trigonometry
Hello, $2\arccos\left(\frac {11}{16}\right)+3\arccos\left(\frac 78\right)$ Let's do it like a bulldozer... Take its cosine. -> $X=\cos \left(2\arccos\left(\frac {11}{16}\right)+3\arccos\left(\frac 78
\right) \right)$ We know that $\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b)$ --> $X=\cos(2\arccos\left(\frac {11... | 5 | [
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... | 21,922 | 21922 | |
using induction to prove...
September 19th 2009, 10:15 PM
IrrationalPI3
using induction to prove...
Hey everyone i was doing some AP work on my own and couldnt figure out how to do this question with induction. i know the steps just cant figure out how to use it in this case. Any help would be
appreciated
... | 5 | [
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... | 21,923 | 21923 | |
The interpretation of the null-space
January 9th 2012, 12:47 PM #1
Newbie
Joined
Nov 2010
Posts
19
The interpretation of the null-space
Let A denote an mxn matrix and let A' denote the row echelon form of it, which has d steps. We then have according to my textbook:
1) If m>d there exists a column su... | 5 | [
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continuity at a point
April 12th 2010, 04:22 AM #1
Member
Joined
Feb 2008
Posts
184
continuity at a point
using the definition: $\forall \epsilon >0, \exists \delta >0, \forall h, \ |h|<\delta \ : |f(a+h)-f(a)|<\epsilon$.
f(x)=x if x is an integer.
f(x)=0 if x is not an integer. Prove that f is ... | 4 | [
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0.00860... | 21,925 | 21925 | |
sum of infinite series
up vote 2 down vote favorite
1
Assume $ a_j=f(j) $, where $ \frac{\alpha}{j}\leq f(j)\leq c $ ($ \alpha>1 $ and $c<1$) for $ j $ large enough. Basically, I want to calculate the order of the infinite series $ \pi_j=\sum_{k=j}^{\
infty}\frac{A_{j,k}}{(1-A_{j,k})^2} $ where $ A_{j,k}=\Pi_{j\leq l... | 4 | [
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... | 21,926 | 21926 | |
Calculus Help
Last edited by CaptainBlack; February 18th 2006 at 11:44 AM.
frozenflames If I understood what you---and the problem #8--- mean, then, ---your description of the graph does not tally with the figure as shown. ---the area under the graph from x=1 to x=3 is 2.3
sq.units. ---find the area under the graph fr... | 5 | [
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Conservation of Rotational Energy Question
1. The problem statement, all variables and given/known data
A string is wrapped several times around the rim of a small hoop with radius 8.00 and mass 0.180 . The free end of the string is held in place and the hoop is released from rest. After the hoop has
descended 95.0 , c... | 4 | [
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Logarithms help
July 8th 2009, 12:09 PM #1
Junior Member
Joined
Oct 2008
From
Lewes, England
Posts
37
Logarithms help
Solve $2^{x+1}=3^x$.
I've done quite a bit of logs but am not sure how to work this one out.
Thanks for any help.
Just take the bit-log of each side:
$2^{x+1}=3^x$
... | 4 | [
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0... | 21,929 | 21929 | |
what are the cumulative distribution and pdf "techniques"
December 5th 2009, 07:40 PM #1
Newbie
Joined
Dec 2009
Posts
10
what are the cumulative distribution and pdf "techniques"
I can't find anything on these techniques in my book. There is plenty of info on the cumulative distribution and the probabili... | 5 | [
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Cubic function with integral coefficients.
November 19th 2007, 03:49 PM #1
Member
Joined
Sep 2007
Posts
140
Cubic function with integral coefficients.
"A cubic function f(x) with integral coefficients has the following properties: f(3/2) = 0, (x-2) is a factor of f(x), and f(4) = 50. Determine f(x)."
... | 4 | [
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Math Help
October 18th 2009, 09:51 AM #1
Newbie
Joined
Sep 2009
From
Michigan
Posts
20
Convolution
Given:
y'' +4y = sin3t
y'(0) = y(0) = 0
From this, I can pretty easily find Y(s) to be:
Y(s) = 3/[(s^2 + 3^2) (s^2 + 2^2)]
In the above, I can see sin3t and (1/2) sin2t, but I'm... | 4 | [
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-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 275205, 8 pages
http://dx.doi.org/10.1155/2013/275205
Research Article
-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays
^1Th... | 4 | [
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Checking for errors
August 19th 2008, 06:09 PM #1
Newbie
Joined
Feb 2007
Posts
12
Checking for errors
OKay can i just grap some quick help for a second to just quickly check these answers. Thanks people!.
okay so i got
1) c
2) a
3) a or b differentiation by parts?
4) d
5) b... | 5 | [
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Solid of Revolution
March 20th 2009, 09:51 AM
jordanrs
Solid of Revolution
Im stuck on the following question as i dont understand the wording and what it is actually asking me to do.
Consider the solid generated by revolving the region in the first quadrant between the lines $y = x$ and $y = x^2$ about th... | 5 | [
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A problem about nxn Matrix
1. The problem statement, all variables and given/known data
1) Prove that: nxn real matrix A is a root of f(X)= a[n].X^n+...+a[0].I, where a[n],...,a[0] are coefficients of the polynomial P(t)= det [A-t.I]
2) Let 5x5 real matrix A be satisfied: A^2008 = 0. Prove that: A^5=0.
2. The attempt ... | 4 | [
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Find an equation of the tangent line to the graph of the function f
1. The problem statement, all variables and given/known data
Find an equation of the tangent line to the graph of the function f defined by the following equation at the indicated point.
(x - y - 1)^3 = x; (1, -1)
3. The attempt at a solution
x^3-y^... | 4 | [
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SU(2) a double cover for Lorentz group?
Yea, I tried reading that. I feel like I can understand some of the definitions separately, but I'm at a total lost when it comes to why they would define things that way or what the implication of
those statements mean. It's not complete gibberish to me. But it's too involved to... | 4 | [
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-0.04492187... | 21,938 | 21938 | |
Laws of logs
December 3rd 2010, 06:15 PM #1
Junior Member
Joined
Nov 2010
Posts
58
Laws of logs
Use the laws of logs to write y as a function of x for each. Then state domain.
a) log(xy) = 2 log (x-3)
b) log(y) + 3 = log(y + 1) + log(x)
c) log (x^2/y) = 2 log(x + 5)
Answers:
a) y = ... | 4 | [
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0.02294921... | 21,939 | 21939 | |
Spruce budworm diff.eq,parameter variation using matlab functions
I have come across a matlab code for solving the spruce budworm differential equation.But,I would like to solve the same differential equation for a range of parameters(r=0:5,q=0:10).I am having
problems trying to define the array of matrices for each lo... | 4 | [
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0.09375,
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... | 21,940 | 21940 | |
PhysForum Science, Physics and Technology Discussion Forums -> Acceleration using ticker timer
Welcome Guest ( Log In | Register ) Resend Validation Email
... | 4 | [
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Matrix e^(tA)
March 6th 2011, 10:55 AM
Borkborkmath
Matrix e^(tA)
I'm trying to figure out if I am doing this correctly.
Given the matrix A:
[1 -.5]
[.5 2]
write down e^(tA) and calculate e^(tA)X, X = (1,1)
So far what I did was, I found the eigenvalues (1.5 repeated) and the eigenvectors (... | 5 | [
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MODEL Just Like A Spreadsheet? Not Always A Good Thing
I was reviewing my prior posting on optimizing K (the "smoothing constant") for an exponential moving average.... and shuddered.
Just like a spreadsheet, I have a "work area" that's not part of the "main" calculations. However, in my prior query, the distinction ... | 5 | [
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... | 21,943 | 21943 | |
Patent US6747593 - Generalized clutter tuning for bistatic radar systems
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to radar systems. More specifically, the present invention relates to bistatic radar systems.
2. Description of the Related Art
In a monostatic radar system, t... | 4 | [
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0.... | 21,944 | 21944 | |
Patent US4475071 - Speed control apparatus for d.c. motor
BACKGROUND OF THE INVENTION
The invention relates to a speed control apparatus for d.c. motor, and more particularly, to such apparatus which exhibits a reduced temperature dependency.
When controlling the speed of a d.c. motor, the speed of rotation of the mo... | 4 | [
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Math Q&A Game
the reason to just look at [0,1] is that if it is dense there, then, it is dense in [n,n+1] (by translation) and you know that the set Z+[tex]\sqrt{2}[/tex]Z is dense in R.
As for n[tex]\sqrt{2}[/tex] mod(1), let's clarify what it means:
[tex]\sqrt{2}[/tex] mod(1)=0.4142...=[tex]\sqrt{2}[/tex]-1
2[tex]\s... | 4 | [
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0... | 21,946 | 21946 | |
Patent US6289499 - Proximity correction software for wafer lithography
RELATED APPLICATION
This application is a continuation of prior application Ser. No. 09/001,715 filed on Dec. 31, 1997 now U.S. Pat. No. 6,081,658, entitled “Proximity Correction Software For Wafer Lithography”.
BACKGROUND OF THE INVENTION
This i... | 4 | [
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... | 21,947 | 21947 | |
Calc related rates
September 3rd 2009, 05:55 AM
pantera
Calc related rates
Hello, can someone please help me to set this problem up. Let theta(in radians) be an acute angle in a rt triangle, and let x and y respectively be the lengths of the sides adj and opp to theta.
Suppose x and y vary with time.
At... | 5 | [
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-0.0... | 21,948 | 21948 | |
finding how far something has gone
September 22nd 2009, 03:01 PM #1
Newbie
Joined
Sep 2009
Posts
11
finding how far something has gone
ok this problem seems easy but it still is giving me problems.
A particle that moves along a straight line has velocity v(t) = t^2e^-(2t)
meters per second afte... | 4 | [
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0.036865234375,
-0... | 21,949 | 21949 | |
General solution of a system
February 8th 2010, 10:34 AM #1
Newbie
Joined
Jan 2010
Posts
9
General solution of a system
Hey, iv been stuck on this question for a few hours now and was wondering if anyone could give me some help.
Determine the general solution of the system:
x'= x-y y'= 2x+3y
... | 5 | [
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Numerical Stability of Partitioned Approach in Fluid-Structure Interaction for a Deformable Thin-Walled Vessel
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 638519, 10 pages
http://dx.doi.org/10.1155/2013/638519
Research Article
Numerical Stability of Partitioned Approach in Fluid-... | 4 | [
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Quadratic.
July 31st 2009, 04:17 PM
el123
Quadratic.
ok so i have this problem.
$\frac{x+4}{x-2} - \frac{x-3}{x-4}$
So i know i should multiply both sides by the denominator then factorize then subtract , then use quadratic formula right?
But i keep getting mixed up , or maybe i am missing somthin... | 4 | [
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Proposition 21
In a circle the angles in the same segment equal one another.
Let ABCD be a circle, and let the angles BAD and BED be angles in the same segment BAED.
I say that the angles BAD and BED equal one another.
Take the center F of the circle ABCD, and join BF and FD.
Now, since the angle BFD is at the cen... | 4 | [
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Advanced Lagrange Maxima Minima Problems
LiveLowGrow
That was superb...thank you very much for your time and effort and being so lucid in your explanation....I was only unfamiliar with term nabal "look at points where \nabal f = 0 inside that
sphere"....
which I guess means I did not have that symbol in my computer... | 5 | [
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0.004425048828125,
0.03515625,
0.004364013671875,
-0.09... | 21,954 | 21954 | |
MathGroup Archive: July 2004 [00437]
[Date Index] [Thread Index] [Author Index]
RE: Plotting a contour plot with cylindrical co-ordinates
• To: mathgroup at smc.vnet.net
• Subject: [mg49498] RE: [mg49468] Plotting a contour plot with cy... | 5 | [
-0.0703125,
0.0595703125,
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... | 21,955 | 21955 | |
Work done moving against a force
October 20th 2008, 01:35 PM
free_to_fly
Work done moving against a force
Currently stuck on the following question:
A cyclist traveling on a straight road at 20km/h is subject to wind resistance proportional to the square of the wind speed. When a wind of 40km/h develops blo... | 5 | [
0.019287109375,
0.1396484375,
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0.0625,
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... | 21,956 | 21956 | |
Near-Field Diffraction from a Binary Microaxicon
Advances in Optical Technologies
Volume 2012 (2012), Article ID 974281, 11 pages
http://dx.doi.org/10.1155/2012/974281
Research Article
Near-Field Diffraction from a Binary Microaxicon
^1Laser Measurements Laboratory, Image Processing Systems Institute, The Russian Ac... | 4 | [
-0.0498046875,
0.039794921875,
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Double Slit Diffraction
1. The problem statement, all variables and given/known data
A parallel beam of mono-chromatic light (500nm) is incident on 2 long narrow slits: slit width is 0.1mm and the distance between slit centres is 0.3mm.
a) How many bright fringes cover the central diffraction maximum?
2. Relevant eq... | 4 | [
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Math Help
August 18th 2011, 08:09 AM #1
Subsets
We want to select two subsets A and B of [n] so that $A \cap B eq\emptyset$. In how many different ways can we do this?
Re: Subsets
First we find how many ways are there to choose two subsets $A$ and $B$ of $[n]$ without worrying about what their intersection... | 4 | [
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0.00799560546875,
-0.1040039... | 21,959 | 21959 | |
Find Equation of Sequence with Z-transform
December 17th 2013, 07:12 AM #1
Member
Joined
Jun 2008
From
Plymouth
Posts
119
Thanks
5
Find Equation of Sequence with Z-transform
I have the following sequence: $a_{n+1}=a_n i - p$ where i and p are constants. I need to find an equation for the sequence... | 5 | [
-0.1767578125,
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0.0203857421875,
0.032470703125,
0.033447265625,
-0.0634765625,
0.01458740234375,
-0.00448608398437... | 21,960 | 21960 | |
Design of Matched Absorbing Layers for Surface Plasmon-Polaritons
Advances in OptoElectronics
Volume 2012 (2012), Article ID 598213, 7 pages
http://dx.doi.org/10.1155/2012/598213
Research Article
Design of Matched Absorbing Layers for Surface Plasmon-Polaritons
^1División de Física Applicada, Centro de Investigación... | 4 | [
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0.0... | 21,961 | 21961 | |
Unity in Subrings, Zero Divisors
January 20th 2011, 09:15 AM
matt.qmar
Unity in Subrings, Zero Divisors
Hello!
I have two questions!
(1)
if $M$ is a subring of $N$, where $N$ has unity (let's call it $1_N$), and say $1_M$ is the unity of $M$. Now, I have shown that it is NOT necessarily true that ... | 5 | [
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-0.0... | 21,962 | 21962 | |
General Clebsch-Gordan coefficients
I'm standing here looking at this problems for 1 hour already and don't know how to handle them. The problem is that the exam is tomorrow. I thought I had it in hand because I pretty much knew how to
work my way through the CG coefficients in quantum mechanics. There you have the rec... | 4 | [
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0.092285... | 21,963 | 21963 | |
Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 363916, 12 pages
http://dx.doi.org/10.1155/2013/363916
Research Article
Multiple Weighted Estimates for Vector-Valued Mult... | 4 | [
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... | 21,964 | 21964 | |
writing division with latex
December 18th 2008, 07:41 AM #1
Junior Member
Joined
Nov 2008
Posts
54
writing division with latex
ı want to write a code with latex which can give me the solution of a division with a picture.
ı aimed to say as all you remembered from elementary school while we were tryin... | 4 | [
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0.001800537109375,
... | 21,965 | 21965 | |
Partial Derivative
November 24th 2007, 03:12 PM #1
Junior Member
Joined
Oct 2007
Posts
55
Partial Derivative
Ive got these two questions, and im not too sure how to solve them.. Any help would be appreciated.. Thanks in Advance.
Find \frac{\partial w}{\partial x} and \frac{\partial w}{\partial y} fo... | 5 | [
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-0.03955078125,
0.02... | 21,966 | 21966 | |
Spread of an Disease (Double Integral Problem)
June 11th 2007, 05:12 PM #1
Newbie
Joined
Jan 2007
Posts
24
Spread of an Disease (Double Integral Problem)
I have yet another problem giving me trouble. Sorry to keep asking, but I am doing a little self teaching and running into some snags in this chapter
... | 4 | [
0.039794921875,
0.06201171875,
0.037109375,
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0.059326171875,
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-0.047119140625,
-0.061767578125,
-0.077... | 21,967 | 21967 | |
Find ideals
November 11th 2007, 09:36 AM
tttcomrader
Find ideals
Let $R=M_{2x2}$ of all rational numbers. Find all ideals.
I understand that we are talking about the set of 2x2 matrices with all rational number entries. An ideal is a subring that absorbs all r in R. So would that be the set of 2x2 matrices ... | 5 | [
0.031494140625,
0.019775390625,
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-0.0142822265625,
0.01190185546875,
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0.07470703125,
-0.013916015625,
-0.05712890625,
0.08154296875,
0.01373291015625,... | 21,968 | 21968 | |
Differantiation question ..
transgalactic
i dont know what is the value of f'(0)
i know that f(0)=0
[tex]f'(x)=\lim _{x->0}\frac{f(x)-f(0)}{x-0}=\lim _{x->0}\frac{f(x)-0}{x-0}[/tex]
this is the definition of the derivative
i dont know how to continue
transgalactic, that isn't the definition of f'(x), it's the defi... | 4 | [
0.011962890625,
0.032958984375,
0.0673828125,
0.039306640625,
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0.01129150390625,
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0.047119140625,
-0.01531982421875,
-0.000461578369140625,
-0.0119... | 21,969 | 21969 | |
Quotient ring and field of 9 elements
May 21st 2011, 03:09 PM
orbit
Quotient ring and field of 9 elements
Hi guys, I need some help with the following exercise
Consider the Guassian intergers. Let J be an ideal of Z[i]. Prove that the quotient Z[i]/J is a field of 9 elements.
J= $\J = \left\{ {a + bi ... | 4 | [
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-0.00927734375,
0.0437011718... | 21,970 | 21970 | |
A Sum and difference question
July 7th 2010, 08:46 AM #1
Newbie
Joined
Jul 2010
Posts
4
A Sum and difference question
$Tan(\frac{4\pi}{3}-\frac{\pi}{4}) = \frac{Tan(\frac{4\pi}{3})-Tan(\frac{\pi}{4})}{1+Tan(\frac{4\pi}{3}Tan(\frac{ \pi}{4})}=\frac{\sqrt{3}-1}{1+\sqrt{3}*1}= I do not know this step = 2-\s... | 4 | [
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0.006866455078125,
0.035400390625,
-0.0220947265625,
-0.03076171875,
0.020019... | 21,971 | 21971 | |
Decay rates in exponential decay
December 21st 2009, 04:54 AM #1
Newbie
Joined
Dec 2009
Posts
3
Decay rates in exponential decay
Hi there, I'm actually trying to write a little computer program which will invlove me using a half-life type of decay, and I'm not really sure how to go about various calculat... | 4 | [
0.0032501220703125,
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0.0238037109375,
0.02099609375,
-0.013916015625,
-0.0322265625,
0.052001953125,
0.016845703125,
0.057861328125,
-0.059814453125,
... | 21,972 | 21972 | |
group in square
August 13th 2007, 08:16 PM #1
Junior Member
Joined
Jul 2007
Posts
27
Let G be the group D(4) of symmetries of a square and (tau) be any reflaction in G. Describe the left cosets of the subgroup {1, tau} of G.
The dihedral group (D4) has a 2D representation:
$I = \left [ \begin{mat... | 5 | [
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-0.01519775390625,
0.0015411376953125,
-0.03759765625,
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0.014404296875,
-0.059814453125,
-0.01214599609375,
0.011474609375,
-0.01... | 21,973 | 21973 | |
Patent US4253184 - Phase-jitter compensation using periodic harmonically related components
TECHNICAL FIELD
This invention relates to the correction of distortion and/or impairments experienced by digital data signals after transmission over existing media of limited frequency bandwidth. In particular, the
invention r... | 4 | [
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0.0262451171875,
0.05224609375,... | 21,974 | 21974 | |
Proofs for similarity theorems (AA, SAS, SSS)
January 6th 2013, 08:38 PM
MathCrusader
Proofs for similarity theorems (AA, SAS, SSS)
Hello forum! I am searching for proofs for the three theorems of similarity: AA (angle-angle), SAS (side-angle-side) and (side-side-side). I tried googling a bit and even checked Yo... | 4 | [
-0.15625,
-0.00299072265625,
-0.087890625,
0.005889892578125,
0.000888824462890625,
0.0537109375,
-0.0213623046875,
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0.072265625,
0.00518798828125,
-0.0361328125,
-0.006103515625,
0.0544433593... | 21,975 | 21975 | |
Young's modulus problem - need a hint
redshift
There are two wires, one brass the other copper, both 50 cm long and 1.0 mm diameter. They are somehow connected to form a 1m length. A force is applied to both ends, resulting in a total length
change of 0.5 mm. Given the respective young's moduluses of 1.3 x 10^11 and 1... | 4 | [
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0.08935546875,
-0.07080078125,
0.08447265625,... | 21,976 | 21976 | |
Find Length and Width of Rectangle
November 1st 2008, 10:39 PM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find Length and Width of Rectangle
If the perimeter of a rectangle is 20 feet and the diagonal is 2 (sqrt{13}) feet, then what are the length and width?
if length = x ft and bre... | 4 | [
0.038330078125,
0.060546875,
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-0.0341796875,
0.091796875,
-0.05712890625,
0.0118408203125,
-0.053... | 21,977 | 21977 | |
Disjoint Cycles
July 19th 2012, 07:26 PM
Magical
Disjoint Cycles
P=
(1234567
3125746)
q=
(1234567
5641723)
r=
(1234567
7631425)
s=
(1234567
5713264)
Find pq(^-1)sr(^2) write the answer as a product of disjoint cylcles. Find its order Parity and Inverse.
I ... | 5 | [
-0.060791015625,
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0.064453125,
0.01397705078125,
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0.056884765625,
0.0625,
0.01318359375,
-0.049560546875,
0.06005859375,
-0.009033203125,
0.0057373046875... | 21,978 | 21978 | |
Area between curves
October 13th 2010, 08:56 PM #1
Newbie
Joined
Sep 2010
Posts
6
Area between curves
Find the region between y=e^x and y=e^-x rotated around the y axis. The bound is x=1. Would I use shell method for this or washer?
shells
Shells would work. I don't see how "washers" would be u... | 4 | [
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0.064453125,
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0.007476806640625,
-0.064453125,
0.0264892578125,
-0.... | 21,979 | 21979 | |
Method of moment generating function with Gamma Distribution
November 9th 2008, 03:37 PM #1
Method of moment generating function with Gamma Distribution
Assume that $Y_1, \ Y_2, ... \ Y_n$ is a sample space of size n from a gamma distribution population with $\alpha = 2$ and $\beta$ unknown.
Us the method of... | 5 | [
-0.034423828125,
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-0.0284423828125,
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-0.0067138671875,
0.025146484375,
0.0247802734375,
-... | 21,980 | 21980 | |
Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay
Advances in Artificial Neural Systems
Volume 2012 (2012), Article ID 397146, 11 pages
http://dx.doi.org/10.1155/2012/397146
Research Article
Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay
^1Guizhou Key Laboratory of Ec... | 5 | [
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-0.0693359375,
0.027099609375... | 21,981 | 21981 | |
free group, generating set
May 15th 2010, 12:38 AM #1
Member
Joined
May 2008
Posts
75
free group, generating set
Hi! I have got two questions concerning free groups:
a) If a group is freely generated by infinitely many elements, then it cannot be finitely generated (like the derived subgroup in F(a,b... | 4 | [
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-0.11669921875,
0.02294921875,
-0.0033416748046875,
0.08837890625,
-0.06787109375,
0.07470703125,
-0.0615234375,
-0.0247802734375,
0.06640625,
-0.05322265625,
-0.053955078125,
... | 21,982 | 21982 | |
Root of complex polynomial
October 28th 2009, 08:37 PM #1
Newbie
Joined
Sep 2009
Posts
14
Root of complex polynomial
I was asked if it is possible to solve this question with the complex exponential:
$(z + i)^5 - (z-i)^5=0$
I can see how this is solved by expanding out, but is there an easier o... | 5 | [
-0.1171875,
0.06982421875,
0.046142578125,
0.107421875,
0.0137939453125,
-0.07470703125,
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-0.0084228515625,
-0.0186767578125,
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-0.0213623046875,
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0.03955078125,
0.0067138671875,
0.08203125,
-0.11279296875,
-0.016845... | 21,983 | 21983 | |
Maximizing a function of two variables
October 3rd 2009, 06:15 AM #1
Maximizing a function of two variables
$f(x,y)=(4-x^2)y-2y^2-1$ on the set $\{ x\geq 1, y\geq 1 \}$
Can someone tell me if this is right?
$\frac{\partial f}{\partial x} = -2xy$
$\frac{\partial f}{\partial y} = 4-x^2-4y$
Setti... | 5 | [
0.07373046875,
-0.033447265625,
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0.0634765625,
0.044189453125,
-0.148... | 21,984 | 21984 | |
Patent US4397006 - Cross trace coherent noise filtering for seismograms
BACKGROUND OF THE INVENTION
This invention relates to seismic exploration and more particularly, to the deconvolution of seismic traces to remove noise and distortion.
In seismic exploration, it has become common to process the seismic traces obt... | 4 | [
-0.07470703125,
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0.06396484... | 21,985 | 21985 | |
Vector transformation, cylindrical to Cartesian
1. The problem statement, all variables and given/known data
I have a result which is in the form (cylindrical coordinates):
$$ A\boldsymbol{e_{\theta }}=kr\boldsymbol{e_{\theta }} $$
And I have to provide the answer in cartesian coordinates.
2. Relevant equations
I ... | 5 | [
-0.0286865234375,
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-0.039794921875,
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0.01458... | 21,986 | 21986 | |
Finding velocity function from a model of force
1. The problem statement, all variables and given/known data
Hi, I've got an assignment which involves finding the function of velocity against time, given the information that the particle is moving with intial velocity of v[0] and that it experience a
resistive force o... | 5 | [
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0.0306396... | 21,987 | 21987 | |
derivatives - double check my work please
May 22nd 2006, 02:30 PM #1
Junior Member
Joined
Mar 2006
Posts
40
Please double check my work - just doesn't 'feel' right and I've always had a problem with what I call 'three stacked fractions'.
Instructions: Compute the derivative of the given function .
... | 5 | [
0.025146484375,
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0.005218505859375,
-0.0128173828125,
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-0.062255859375,
-0.0634765625,
0.00799560546875,
-0.052734375,
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0.00885009765625,
0.003814697265625,
-0.054931640625,
0.030517578125,
-0.00001168251... | 21,988 | 21988 | |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution
Sarah P. Otto is Professor of Zoology at the University of British Columbia. Troy Day is Associate Professor of Mathematics and Biology at Queen's University
Preface ix
Chapter 1: Mathematical Modeling in Biology 1
1.1 Introduction 1
1.2 HIV 2
1... | 4 | [
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0.0625,
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0.03466796875,
-0.03564453125,
-0.01373291015625,
-0.08544921875,
0.03564... | 21,989 | 21989 | |
Calc- Word Problem
May 31st 2008, 03:30 AM
Macleef
Calc- Word Problem
Technicians working for the Ministry of Natural Resources have found that the amount of a pollutant in a certain river can be represented by $P(t) = 2t + \frac {1}{162t + 1}$, $0 \leq t \leq 1$,
where $t$ is the time (in years) since a cle... | 5 | [
-0.0196533203125,
0.09228515625,
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-0.043701171875,
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0.056396484375,
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0.033447265625,
-0.061767578125,
-0.073242... | 21,990 | 21990 | |
Modal Resonant Frequencies and Radiation Quality Factors of Microstrip Antennas
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 490327, 9 pages
http://dx.doi.org/10.1155/2012/490327
Research Article
Modal Resonant Frequencies and Radiation Quality Factors of Microstrip Antennas
Depar... | 4 | [
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0.0478515625,... | 21,991 | 21991 | |
ratio problem
December 4th 2009, 06:28 PM #1
Newbie
Joined
Nov 2009
Posts
21
Can this be put into an equation:
Two numbers are such that if the first receives 60 from the second they are in the ratio 2:1, but if the second receives 100 from the first, the ratio is 1:3.
What are the two numbers?
... | 4 | [
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0.00595... | 21,992 | 21992 | |
Introductory linear algebra questions
August 13th 2013, 03:38 AM #1
Newbie
Joined
Aug 2013
From
England
Posts
4
Thanks
1
Introductory linear algebra questions
Hi guys, having some issues with some basic introductory linear algebra questions, any help much appreciated!
(i) V is the set of all... | 5 | [
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0.06396484375,
-0.0517578125,
-0.03... | 21,993 | 21993 | |
Contraction Mapping Principle
January 29th 2009, 04:44 PM #1
Junior Member
Joined
Feb 2008
Posts
36
Thanks
1
Contraction Mapping Principle
Let M be a compact metric space. Let $\Phi : M \rightarrow M$ be such that $d(\Phi (x), \Phi (y)) < d(x, y), \forall x, y \in M, x eq y$. Show that $\Phi$ has a u... | 5 | [
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-0.0281982421875,
-0.0022735595703125,
0.04638671875,
-0.00... | 21,994 | 21994 | |
Pi Day Post Mortem
Dessert aside, long-time readers are probably already aware of my decidedly mixed feelings towards Pi Day (see, for example, here). Nevertheless, the holiday seems only to be growing in popularity,
and so I feel compelled to take it to task once again.
In my earlier post, I complained about mathem... | 4 | [
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0.0363... | 21,995 | 21995 | |
[SOLVED] Polar graphs
June 14th 2008, 02:01 PM #1
I Need help in this and how to convert rectangular coordinates to polar coordinates and vice versa. my teacher vaguely described how to graph also. Also finding other polar representations of any
point.
You must post a particular problem. Post a particular... | 4 | [
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0.0859375,
0.1494140625,
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0.00537109375,
0.00958251953125,
-0.022... | 21,996 | 21996 | |
Tensors without coordinates
dEdt
My class is starting to cover E&M in Lorentz covariant form, and obviously the subject of tensors came up. The problem is that my prof defines tensors in terms of coordinates, which is ugly and
against the spirit of relativity. Is there a way of doing tensors coordinate-free in a phy... | 4 | [
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-0.056884765625,
0... | 21,997 | 21997 | |
kruskal_wallis_test
Chapter 6: Nonparametric Statistics
Performs a Kruskal-Wallis test for identical population medians.
Synopsis
#include <imsls.h>
float *imsls_f_kruskal_wallis_test (int n_groups, int ni[],
float y[], ..., 0)
The type double function is imsls_d_kruskal_wallis_test.
Required Arguments
int n_gro... | 5 | [
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-0.119... | 21,998 | 21998 | |
elipson-delta definition of a limit to justify the answer.
September 22nd 2011, 09:26 PM
LAPOSH42
elipson-delta definition of a limit to justify the answer.
So Far I found the limit:
Lim x->0 1/(x+1)=1
then this is the scratchwork:
1/(x+1)-1<E when 0< |x-0|< delta
Not sure if I did this inequa... | 5 | [
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-0.03759765625... | 21,999 | 21999 |