content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Question invloving Fourier Series
September 1st 2008, 04:23 AM #1
Junior Member
Joined
May 2008
Posts
50
Question invloving Fourier Series
Hi All,
I have a question that I need to do a bit of catching-up work before I can answer it. I'd like to be able to have a go at it myself before anybody puts a... | 5 | [
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GMAT Speed / Distance / Time
• GMAT Prep (USA)
•
• GMAT Prep (International)
•
• Favorite GMAT Articles
□ 800score GMAT Course Reviews
□ GMAT Course Comparision
□ GMAT Essay Tips & Grading from 800score
•
• Free GMAT Prep
□ Free GMAT CAT... | 4 | [
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Generalizing to R^n a bound for a lebesgue measure.
November 19th 2011, 01:53 AM #1
Newbie
Joined
Nov 2011
Posts
7
Generalizing to R^n a bound for a lebesgue measure.
A standard proposition in measure theory is that if $E$ is any Lebesgue measurable set in $\mathbb{R}$ with $\lambda(E)>0$, then for any $... | 4 | [
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Exterior derivative
Terilien
What exactly is the exterior derivative? What is its motivation? how do you compute it? Most importantly why is that how you copute it?
The exterior derivative allows the fundamental theorem of calculus to be generalized to integrals over areas and volumes and higher dimensional analogu... | 4 | [
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Mathematical Modeling of the Expert System Predicting the Severity of Acute Pancreatitis
Journal of Computational Medicine
Volume 2014 (2014), Article ID 532453, 4 pages
http://dx.doi.org/10.1155/2014/532453
Research Article
Mathematical Modeling of the Expert System Predicting the Severity of Acute Pancreatitis
^1D... | 4 | [
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Random Derangement Of An Array
Limbic~Region has asked for the wisdom of the Perl Monks concerning the following question:
All,
I need to
derange
the values of an array randomly (for some definition of random). I could use
tye
's very nice
Derangements iterator
and call it a random number of times, but that see... | 5 | [
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Consensus of Discrete Time Second-Order Multiagent Systems with Time Delay
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 390691, 9 pages
http://dx.doi.org/10.1155/2012/390691
Research Article
Consensus of Discrete Time Second-Order Multiagent Systems with Time Delay
Research Center of System... | 4 | [
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Potential inside of chrged non-conductive sphere
Never mind, I've solved it.
You have two different functions for the electric field.
If r > R, [tex] E = \frac{kQ}{r^2} [/tex] where [tex] k = \frac{1}{4\pi\epsilon_0} [/tex]
if r < R, [tex] E = \frac{kQr}{R^3} [/tex]
so V of r < R will be the negative integral of r >... | 5 | [
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Using Stokes theorem
August 1st 2009, 01:44 PM #1
Using Stokes theorem
Let $F(x,y,z)=x \vec i + y \vec j + yz \vec k$.
Calculate the flux of the curl of $F$ through the surface of the semi-sphere $x^2+y^2+z^2=4$, $z\leq 0$, oriented positively. Use Stokes theorem. Then use another way that does not involve
... | 5 | [
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Bernstein's inequality (please help)
December 1st 2008, 04:28 PM #1
Junior Member
Joined
Nov 2008
Posts
53
Bernstein's inequality (please help)
A) Prove Bernstein's inequality: If X is a random variable for which Mx(t) exists for some t>0, the P(X>=x) <= Mx(t)e^(-tx). Assuming X is continuous.
B) If... | 4 | [
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Method and apparatus for elliptic curve scalar multiplication - Patent # 7215780 - PatentGenius
Method and apparatus for elliptic curve scalar multiplication
7215780 Method and apparatus for elliptic curve scalar multiplication
Patent ... | 4 | [
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Cauchy and fourier tranform
November 10th 2007, 09:31 PM #1
Member
Joined
Nov 2005
Posts
111
Cauchy and fourier tranform
Hi,
I have this problem and I dont know how to finish it:
Using the Cauchy Theorem, prove that the fourier tranform of 1/(1+t^2) is
(pi)*e^(-2*pi*|f|) .( you must show the... | 5 | [
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transformations
ok im having a bit of trouble with interpreting this question: Show that: 3x + 2/x+1 = 3 - (1/x+1)
You could do $\frac{3x+2}{x+1}$ using polynomial long division. Or you could assume that the result will be of the form $A + \frac{B}{x+1}$ and solve for A and B. Or you could do some fancy
re-arranging: ... | 4 | [
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compact subset of R
March 3rd 2009, 01:55 PM #1
Newbie
Joined
Mar 2009
Posts
2
compact subset of R
Suppose that $A$ is a compact subset of $\mathbb{R}$ and $f: A \rightarrow \mathbb{R}$ is continuous. Prove that the set $\{x \in A | 0 \leq f(x) \leq 1 \}$ is a compact subset of $\mathbb{R}$.
I know ... | 5 | [
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Fault Detection for Industrial Processes
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 757828, 18 pages
http://dx.doi.org/10.1155/2012/757828
Research Article
Fault Detection for Industrial Processes
State Laboratory of Synthesis Automation of Process Industry, Northeastern University, Liaoning... | 4 | [
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Find the equation of the straight line
February 25th 2011, 03:57 AM #1
Super Member
Joined
Dec 2009
Posts
755
Find the equation of the straight line
Find, without differentiation, the equation of the straight lines which pass through the point $(4,0)$ and are tangential to the circle, $(x+1)^2+y^2=4$
... | 4 | [
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Patent US6246599 - Constant frequency resonant inverters with a pair of resonant inductors
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to dc/ac inverters, and more particularly, to the constant-frequency, sinusoidal dc/ac inverters that utilize a coupled inductor to achieve zero-volta... | 4 | [
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Find the value of k, please help.
March 7th 2009, 02:50 AM
Dobbix
Find the value of k, please help.
Fig 1 shows skectches of the curve
y = 3x^2 + k
The area of A is 3 times the area of B, Find the value of K.
Please help.
March 7th 2009, 05:16 AM
jimmyk
I think it goes:
Integrate 3x^2+k ... | 4 | [
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Indirect proof of Infinate number of primes
March 19th 2006, 07:41 AM #1
Indirect proof of Infinate number of primes
IN class we derived the following expressionto express "There are an infinate number of primes" using predicates prime(x) : x is a prime and g(x, y): x > y
There exists a "z" in N, prime(z) an... | 5 | [
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Help:--Subgroups
July 3rd 2008, 01:11 PM #1
Help:--Subgroups
Hello...
I need real help in these problems...
Please help!
Q1) Prove that if H and K are subgroups of a group G (with operation *), then H intersection K is a subgroup of G.
Q2) Let H = {(1), (1 2)} and K = {(1), (1 2 3), (1 3 2)}. Bo... | 4 | [
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Brevet US6446106 - Seed ROM for reciprocal computation
CROSS-REFERENCE TO RELATED APPLICATION
This application is a continuation of U.S. patent application Ser. No. 08/517,902, filed Aug. 22, 1995, issued May 29, 2001 as U.S. Pat. No. 6,240,338.
FIELD OF THE INVENTION
This pertains to the field of computers. In part... | 4 | [
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Geometric/Arithmatic Series
April 6th 2009, 11:01 PM #1
Newbie
Joined
Jan 2009
Posts
23
Geometric/Arithmatic Series
a)Using the appropriate formula, calculate:
9
Σ
(‐2)n5n
n
=1
b) A company is considering sending a team of divers, with all the appropriate equipment,... | 4 | [
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Patent US5506947 - Computer implemented method
FIELD OF THE INVENTION
This invention relates to a system and method for smoothing a curve or a surface without reducing the curve length or the surface area. More specifically, the invention relates to the field of
smoothing curves or surfaces in computer graphics and im... | 4 | [
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Patent US7042377 - Analog-to-digital sigma-delta modulator with FIR filter feedback
FIELD OF THE INVENTION
This invention relates to analog-to-digital sigma-delta modulators.
BACKGROUND OF THE INVENTION
Sigma-delta modulators are now widely used for conversion between analog and digital signals, especially with adva... | 4 | [
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Math Help
April 22nd 2009, 11:57 AM #1
Newbie
Joined
Jan 2009
Posts
18
limit
This one has my entire class stumped:
$\lim_{x\rightarrow0}\frac{\sin(\tan(x))-\tan(\sin(x))}{\arcsin(\arctan(x))-\arctan(\arcsin(x))}=$
I've tried l'Hôpital but I still get $\frac{0}{0}$, and trying to build Taylor s... | 5 | [
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Arithmetic progression problem
January 8th 2010, 05:02 PM #1
Member
Joined
Oct 2009
Posts
202
Arithmetic progression problem
How many terms at least of the arithmetic progression 1,4,7,10,.............are needed to give a sum greater than 590,starting from the first term of the arithmetic progression?
... | 4 | [
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projectile motion
February 14th 2007, 08:50 AM #1
Member
Joined
Nov 2006
Posts
123
A shell, fired from a cannon, has a muzzle speed of 800ft/s. The barrel makes an angle of 45 degree with the horizontal and the barrel opening is assumed to be at ground level.
How far does the shell travel horizontall... | 4 | [
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Physics Forums - View Single Post - Improper Integral with trig integral
shubox
1. The problem statement, all variables and given/known data
∫(dx/((1+x^2)^2) from 0 to ∞
Determine whether the improper integral converges and if so, evaluate it.
2. Relevant equations
1+ tan^2(x) = sec^2(x)
1/sec(x) = cos(x)
3. The... | 4 | [
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-0.034423828125,
-0.048828125,
0.03857421875,
-0.005... | 16,027 | 16027 | |
World Series!
September 17th 2013, 08:08 PM
SuperMaruKid
World Series!
Please explain step by step to complete this. Thanks a million!
A play-off championship includes up to five games. Whichever
team wins three games first is the winner of the series. In how
many different ways can a team win the p... | 4 | [
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-0.068359375,
-0.03... | 16,028 | 16028 | |
Continuity of Functions
March 17th 2008, 08:32 AM #1
Newbie
Joined
Feb 2008
Posts
10
Continuity of Functions
Hey everyone! I have these two online problems that I cannot figure out for the life of me. Please help!! I understand continuity but these are terrible.
1.) The function f is given by the fo... | 4 | [
0.02783203125,
0.0179443359375,
-0.0107421875,
0.0012054443359375,
-0.0142822265625,
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0.04736328125,
-0.0654296875,
0.09033203125,
0.029541015625,
-... | 16,029 | 16029 | |
Finding the missing vector such that the matrix is orthonormal
1. The problem statement, all variables and given/known data
A matrix is orthonormal if the magnitude of its vectors = 1 and all vector pairs are perpendicular, that is, their dot product = 0. Find the missing vector which would make the following matrix
or... | 4 | [
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-0.00854492187... | 16,030 | 16030 | |
Congruence problem with gcd
February 20th 2007, 07:52 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Congruence problem with gcd
1. Let d,k,n be integers with n>d>1. If d=gcd(k,n), prove there exist an integer e such that 1<e<n and ke congruence 0 (mod n).
My proof so far:
Now d > 1 ... | 4 | [
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0.046630859375,
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-0.000732421875... | 16,031 | 16031 | |
Area of the Surface
April 17th 2008, 05:27 PM
apw235@nyu.edu
Area of the Surface
Hello -
I am to find the part of the plane 2x+5y+z=10 that lies inside the cylinder $x^2+y^2=9$
I'm not sure how to start, and this is all i need help with. Do i parametrize the cylinder?
April 17th 2008, 05:49 PM
Jen
... | 5 | [
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Physics Forums - Continuity/Gauss' divergence
arildno Mar14-09 07:06 AM
Re: Continuity/Gauss' divergence
There are 5 distinct steps in the derivation of the continuity equation:
1. Conservation of mass for EVERY particle-based (i.e), material system.
A material system consists of the SAME particles throughout the... | 4 | [
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HELP - Probability Trees!
December 2nd 2006, 12:12 PM
c00ky
HELP - Probability Trees!
Hi Guys, I have the following problem. Could anybody point explain to me how to solve this problem using probability trees?
Q) Companies A, B and C are producing nails. 30%, 45% and 25% of these nails are produced by compa... | 4 | [
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Questions Involving Cosets
March 14th 2009, 03:12 PM
Janu42
Questions Involving Cosets
1. Let G = Q8 (quaternion group). Find the right cosets of H in G for:
a) H = <J>
b) H = <-I>
2. Find the right cosets of the subgroup H = <(1,1)> in Z2 x Z4
3. Let H be a subgroup of a group G and define H c... | 5 | [
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-0.0456542968... | 16,035 | 16035 | |
Conserved quantities for geodesics
1. The problem statement, all variables and given/known data
In comoving coordinates, a one dimensional expanding flat universe has a metric [tex]ds^2 = -c^2dt^2 + at(t)^2dr^2[/tex]. Derive an expression for a conserved quantity for geodesics in terms of [tex]
a, \tau[/tex] and [tex]r... | 4 | [
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0.015625,
... | 16,036 | 16036 | |
Modulus (Brainteaser question)
October 31st 2009, 09:38 AM #1
Senior Member
Joined
Apr 2009
Posts
306
Modulus (Brainteaser question)
a) This I can do:
$\sum F = ma$
$9g - 0.01v^2 = 9a$
$a = -\frac{(v^2-900g)}{900}$
b) My working is as follows:
$\frac{dv}{dx} = -\frac{(v^2-90... | 5 | [
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Go4Expert - HORNER rule to calculate value of a polynomial
HORNER rule to calculate value of a polynomial
HI to all .may be you all are asked to calculate the value of a polynomial at a given x.for eg let y=f(x)=1+2*x + 3*x*x .Just stay aside your regular technique to do this and try to understand
this.May be you wi... | 5 | [
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... | 16,038 | 16038 | |
Let C* be the set of all nonzero complex numbers a+bi
March 17th 2010, 05:38 PM #1
Newbie
Joined
Mar 2010
Posts
4
A) Prove that C* is a group under multiplication
B) let H={a+bi € G|a^2 + b^2 = 1}. Prove that H is a subgroup of C*.
C) Prove that the set of nth roots of unity Un is a subgroup of ... | 4 | [
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Servomotor Measures Its Own Inertia Load
The moment of inertia of the load is a key measure for sizing and tuning servomotors. Traditional sizing methods use mathematical equations to accurately estimate the inertia of the load based on
dimensions, materials, and densities. This method is especially valid on machines t... | 5 | [
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Parallel transport
Justin,
As someone else mentioned, what you are trying to do
is
in fact a Wilson line, where the "gauge group" is the structure group of the manifold; i.e., SO(n) for an n-dimensional manifold (or SO(p,q) if the manifold has indefinite signature). I say 'SO'
rather than 'O' because parallel transp... | 4 | [
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gamma distribution 3
March 16th 2010, 11:50 PM #1
Junior Member
Joined
Oct 2009
Posts
33
gamma distribution 3
I am still working on the gamma distribution and first thank you so much for help without help i wouldn't be able to do the previous questions.
Unfortunately, I got stuck with another questi... | 4 | [
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... | 16,042 | 16042 | |
some math questions
October 15th 2006, 10:21 AM #1
Newbie
Joined
Oct 2006
Posts
17
some math questions
I'm not too good at math at all I need help with these three problems any feedback or help will be greatly appreciated
1)108 divided by (6/7) 2nd power + 180 divided by (3/5) 2nd power
2) Fin... | 4 | [
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Patente US20030041667 - Wide band digital phase locked loop (PLL) with a half-frequency output
TECHNICAL FIELD OF THE INVENTION
[0001] The present invention relates to a phase locked loop that produces an output signal whose frequency is half of the frequency of the input signal to the phase locked loop.
BACKGROUND O... | 4 | [
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... | 16,044 | 16044 | |
Orders of convergence - how to prove that a sequence converges linearly/quadratically
Wow, your explanation made so much more sense than the one in the lecture notes. So they all converge linearly, since they are all decreasing sequences.
b) If it converges quadratically, then
[tex]\left|\frac{1}{2^{2(n+1)}}\right|\l... | 5 | [
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M = max|f(x)|≥1/4 where f(x) = x^3+ ax^2+ bx +
May 3rd 2012, 09:53 AM #1
Newbie
Joined
May 2012
From
United Kingdom
Posts
4
M = max|f(x)|≥1/4 where f(x) = x^3+ ax^2+ bx +
Let f(x) = x^3+ ax^2+ bx + c with a, b, c real. Show that
M = max|f(x)|≥1/4
-1 ≤ x ≤ 1
and find all cases where equali... | 5 | [
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0.08935546875,
-0.07763... | 16,046 | 16046 | |
Gamma Function Conversion to Polar Coordinates
January 29th 2010, 02:03 PM #1
Newbie
Joined
Jan 2010
Posts
4
Gamma Function Conversion to Polar Coordinates
This is not a homework problem; I'm just making sure I can follow all the logic to this problem.
Hi I have the following part of my book which I... | 5 | [
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Need some measurements
February 11th 2007, 04:11 PM #4
February 11th 2007, 04:00 PM #3
Newbie
February 11th 2007, 03:41 PM #2
February 11th 2007, 03:23 PM #1
Newbie
(Shrugs) Each area is a trapezoid. The area of a trapezoid is:
A = (1/2)(b1 + b2)h
where b1 and b2 are the parallel "bases" and h is the pe... | 4 | [
0.0186767578125,
0.0771484375,
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0.06494140625,
-0.07470703125,... | 16,048 | 16048 | |
parametric equations help
May 13th 2010, 08:53 AM
Tweety
parametric equations help
The curve with parametric equations $x = 3t^{2} , y = 4t^{3}$ along with the tangent at the point with parameter t = 1
find the equation if this tangent and the coordinates of the point where it meets the curve again.
$\... | 5 | [
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-0.0124... | 16,049 | 16049 | |
5 CONCEPTUAL problems I need help with, thank you.
July 26th 2011, 01:34 PM #1
Newbie
Joined
Jul 2011
Posts
2
5 CONCEPTUAL problems I need help with, thank you.
These are not difficult subjects, but they are tricky problems. To prepare for a test our professor gave us some practice problems to make sure ... | 5 | [
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... | 16,050 | 16050 | |
Simultaneous equation...
December 28th 2008, 11:41 AM #1
Newbie
Joined
Oct 2008
Posts
16
Simultaneous equation...
Hiya, really stumped on this one, have got to do this without a calculator. i understand how to do simultaneous equations, i think, but can't get the solution on this question, using these
... | 4 | [
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0.00... | 16,051 | 16051 | |
Help with Power Series: Proof
March 15th 2009, 07:46 PM
wyhwang7
Help with Power Series: Proof
Prove that for -1<x<1
1/(x+1) =
infinite
Σ [(-1)^n][x^n] = 1 - x + x^2 - x^3 + ...
n=0
ln(1+x) =
infinite
Σ [(x^n)(-1)^(n-1)]/n = x - (x^2)/2 + (x^3)/3 - (x^4)/4...
n=0
March 15th 2... | 5 | [
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-0... | 16,052 | 16052 | |
Anyone smarter than me! You're needed!
Whoever could do that would be (imo) an absolute legend!!!!
Mmmk. This is way too much for me personally to give you all the answers. Some other members might, but I'll get you started. For #1 I am confused on some notation. Is it $D(t)=5+3\cos(\frac{\pi}{6})
(t+2)$ or $D(t)=5+3\... | 4 | [
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0.02734375,
-0.0324707... | 16,053 | 16053 | |
Prove This Set is Measurable
December 19th 2010, 07:19 PM #1
Member
Joined
Mar 2010
Posts
98
Prove This Set is Measurable
Hey all,
Problem: Let $\{f_n\}$ be a sequence of measurable functions. Prove that the set of points at which $\{f_n\}$ converges is a measurable set.
My Attempted Solution: ... | 5 | [
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-0.046630859375,
-0.1064453125,
0.09375,
0.0037... | 16,054 | 16054 | |
Impact of Preventive Responses to Epidemics in Rural Regions
Abstract
Various epidemics have arisen in rural locations through human-animal interaction, such as the H1N1 outbreak of 2009. Through collaboration with local government officials, we have surveyed a rural
county and its communities and collected a dataset ... | 4 | [
-0.0027313232421875,
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-0.0854492187... | 16,055 | 16055 | |
Venn Diagram
May 16th 2006, 08:52 AM #1
Newbie
Joined
May 2006
Posts
4
Venn Diagram
I need help with a Venn Diagram question. Oridnarily I know you would start in the middle but that is the piece that is missing in this problem. Can you please provide a formula to work this
problem?
A recent sur... | 4 | [
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Derivation of THp
mhzq007
hi everyone can anyone please give me a clue of how to derive this equation
Hp= Q(gpm)* Δp(psi)/1714
Q is volumetric flow rate
Δp is pressure
1 HP = 33000 ft-lb/min.
1 gal. water = 8.33 lbs
for water, Δp = H * 144 in[itex]^{2}[/itex]/ft[itex]^{2}[/itex] / 62.4 lbs / ft,
where H is the... | 4 | [
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Help me with my calc final take home!
May 13th 2007, 03:23 PM
Stuck686
Help me with my calc final take home!
Antiderive:
a) 3-x/1+9x^2 (split the fraction it says)
b) sin(-2x)/[1-cos(2x)]^5
c) -2/sqroot(9-x^2)
d) cox(x)/1+sin^2(x)
2. Consider that graph of y=-x^2+4x-3 and the area that ... | 5 | [
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Trig identitys
February 15th 2011, 05:50 PM #1
Newbie
Joined
Jan 2011
Posts
13
Thanks
1
Trig identitys
My book lacks answers and i suffer much confusion in this. So here goes, but first quick question. How do i produce signs like pi or theta on here like some of the experts do, along with
represe... | 4 | [
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0.0546875,
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Exponential expected service time question
November 3rd 2008, 08:26 PM #1
Exponential expected service time question
A customer enters a store where he is serviced by clerk 1, followed by clerk 2, finally by clerk 3. Service time by each of the clerks is an exponentially distributed variable with $\mu_i$, where
... | 5 | [
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... | 16,060 | 16060 | |
Optimization
Graph analysis is a fundamental tool for domains as diverse as social networks, computational biology, and machine learning. Real-world applications of graph algorithms involve tremendously large
networks that cannot be inspected manually. Betweenness Centrality (BC) is a popular analytic that determines v... | 4 | [
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Differentiation problem
> Tell me one thing ... if f(x) = 5x,
> what is f'(x) when x = 100 ? 5 right ??
Right.
> and what about x = 200 ? again 5 right ??
Right.
> So, can you say 100 = 200 ?? NO.
I never said it was.
The way I defined f(x) was as follows: x+x+x...(x times). This is shorthand, and probably makes... | 4 | [
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0.017822265... | 16,062 | 16062 | |
Cutting stick
May 3rd 2011, 01:09 AM #1
Member
Joined
Nov 2010
Posts
95
Cutting stick
If one has a stick of length n then what is the minimum number of cuts one can make on it to have n parts of it so that at the end of ith day one can give ith lenght of stick to someone ?
E.g if the length of stick ... | 4 | [
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... | 16,063 | 16063 | |
totally convex space
nLab
totally convex space
Totally convex spaces
Idea
Essentially, the totally convex spaces are what you get if you try to build an algebraic theory of Banach spaces.
Definitions
Abstract definition
A totally convex space is a module for the monad on Set which sends a set $X$ to the closed un... | 4 | [
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Summing divergences and the real projective line
japplepie
The real projective line states that there is not difference between positive and negative infinity (maybe except the path needed to be taken to "reach" either one of them) and they are actually
connected.
The real projective line is the one point compactif... | 4 | [
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Vitali sets
February 10th 2011, 05:07 AM
nomadreid
Vitali sets
This is measure theory, so I am not sure if it should go here, under Set Theory, or Analysis. I will opt for Topology.
I am a little dubious on a point on the proof that a Vitali set is non-measurable. I look at the definition of it being a subs... | 4 | [
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0.125,
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Project appraisal methods
Please Wait ..
Project appraisal methods
By : SRINIVAS SRIRAJ on 13 December 2009
... | 5 | [
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Heat Equation (Non Homogeneous BCs) - Difficult Laplace Transform... help ;)
Hi
I'm trying to model the temperature profile of an inertia friction welding during and after welding. I have the welding outputs and have come up with a net heat flow wrt time during the process.
I now want to put this information into th... | 4 | [
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help on analytic geometry
December 1st 2006, 08:22 AM
^_^Engineer_Adam^_^
help on analytic geometry
Help!!! Just this 1 problem
find the equations of two lines through A, one parallel and the other perpendicular to the line defined by the given equation:
30.) $A(-4,0), 4x+3y = 2$
thats all for today... | 4 | [
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... | 16,069 | 16069 | |
prime ideals in C([0,1])
up vote 12 down vote favorite
6
It is clear that each maximal ideal in ring of continuous functions over $[0,1]\subset \mathbb R$ corresponds to a point and vice-versa.
So, for each ideal $I$ define $Z(I) =$ {$x\in [0,1]$ | $f(x)=0, \forall f \in I$}. But map $I\to Z(I)$ from ideals to closed... | 5 | [
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0.08154296875,
-0.045166... | 16,070 | 16070 | |
Differentiation using the Composite Rule
September 15th 2008, 11:21 AM #1
Newbie
Joined
Sep 2008
Posts
3
Differentiation using the Composite Rule
Hi, I'm new to this forum and am abit stuck.
I need to differentiate the function f(x)=10+x(squared) - this function is also a square root but I dont know... | 5 | [
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... | 16,071 | 16071 | |
Set of countable ordinals
I can't get a good intuitive grasp on this set. Folland defines it as follows:
Folland, Real Analysis
There is an uncountable well ordered set S such that I[x]={y in S: y<x} is countable for each x in S. If S' is another set with the same properties, then S and S' are order isomorphic.
Proo... | 4 | [
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Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 956431, 8 pages
http://dx.doi.org/10.1155/2012/956431
Research Article
Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equat... | 4 | [
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-0.01... | 16,073 | 16073 | |
Show that polynomial has one real root
September 8th 2010, 04:59 AM
Glitch
Show that polynomial has one real root
The question:
Show that the polynomial p, where $p(x) = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!}$ has at least one real root.
I'm not sure what to do. Solving for 0 is difficult with a cubic,... | 5 | [
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0.0064697265625,
-0.00732421875,
-0.025146484375,
0.... | 16,074 | 16074 | |
Math Help
October 26th 2009, 10:04 AM #1
Member
Joined
Sep 2006
Posts
221
Ratios
The jewels in a crown consist of diamonds, rubies, and emeralds. If the ratio of diamonds to rubies is 5/6 and the ratio of rubies to emeralds is 8/3, what is the least # of jewels that could be
in the tiara?
Let "... | 4 | [
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0.021362304... | 16,075 | 16075 | |
Collection of work/rate problems?
Author Message
TAGS:
snipertrader
Re: Collection of work/rate problems? [#permalink] 05 Aug 2009, 23:13
Senior Manager
1
Affiliations:
ACA, CPA ... | 4 | [
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0... | 16,076 | 16076 | |
Mathematical model of continuous and batch (discrete) system combined
I think the simplest model one could reasonably look at is this: Let [itex]V(t)[/itex] be the amount of material in the hopper at time [itex]t[/itex]. Suppose that material falls in to the hopper at
a constant rate [itex]k_0 > 0[/itex]. Suppose that... | 5 | [
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0.047607421875,
... | 16,077 | 16077 | |
Vectors - shortest distance between two 3d lines
October 29th 2013, 02:05 PM #1
Newbie
Joined
Jun 2010
Posts
3
Vectors - shortest distance between two 3d lines
'Show that the shortest distance between the line with equations
(x + 4)/3 = (y - 3)/2 = (z + 6)/5
and the line with equations x - 2y -... | 4 | [
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prove the the conjugate of a holomorphic function f is differentiable iff f'=0
February 20th 2011, 06:26 AM
hatsoff
prove the the conjugate of a holomorphic function f is differentiable iff f'=0
This probably has a simple solution, but I cannot find it so far...
Quote:
Originally Posted by problem sta... | 4 | [
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... | 16,079 | 16079 | |
Exponential Function Word Problem
May 13th 2009, 12:43 PM #1
Senior Member
Joined
Nov 2008
Posts
425
Exponential Function Word Problem
Use the decay eqtn for polonium-218, at A(t)=A_o(0.5)^(t/3.1), where A is the amount remaining after t min. and A_o is the initial amount.
a) How much will remain af... | 4 | [
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-0.00285339355468... | 16,080 | 16080 | |
mar
Below are the first 10 and last 10 pages of uncorrected machine-read text (when available) of this chapter, followed by the top 30 algorithmically extracted key phrases from the chapter as a whole.
Intended to provide our own search engines and external engines with highly rich, chapter-representative searchable te... | 4 | [
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-0.... | 16,081 | 16081 | |
Finding a point
June 11th 2013, 04:35 AM #1
Newbie
Joined
Jun 2013
From
IA
Posts
6
Finding a point
Greetings. I'm trying to figure out how to find a point on a line, that intersects with a circle. The Radius of my circle is 83.4875 and the 2 points of my line are @ X-81.393 Y2.218 and @
X-84.93 Y... | 4 | [
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-0.046630... | 16,082 | 16082 | |
wanted to check to make sure I did this partial fraction right..
April 14th 2009, 04:12 PM #1
Junior Member
Joined
Oct 2008
Posts
51
wanted to check to make sure I did this partial fraction right..
i have done partial fractions, but we are getting into series, and I need to use partial fractions to split... | 4 | [
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0.0361328125,
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-... | 16,083 | 16083 | |
Linear transformation problem
July 17th 2008, 12:41 PM
tttcomrader
Linear transformation problem
Suppose that the linear transformation T maps $\left[ \begin{bmatrix}1\\0 \end{bmatrix} \right]$ to $\left[ \begin{bmatrix}2\\5 \end{bmatrix} \right]$ and $\left[ \begin{bmatrix}0\\1 \end
{bmatrix} \right]$ to $\... | 4 | [
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18. Noise, TOA fluxes and climate sensitivity
A model configuration used to study how temperature variations in the equatorial Pacific force temperature variations in other ocean basins and the land. Figure courtesy of Gabriel Lau.
Consider a simple energy balance model for the oceanic mixed layer (+ land + atmosphe... | 4 | [
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Patent US5786857 - Image processing system
This application is a continuation of application Ser. No. 08/316,764, filed Oct. 3, 1994 now abandoned.
This invention pertains to image processing for carrying out digital processing of image information and, in particular, to an image processing system including noise redu... | 4 | [
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Investigation of High-Frequency Internal Wave Interactions with an Enveloped Inertia Wave
International Journal of Geophysics
Volume 2012 (2012), Article ID 863792, 12 pages
http://dx.doi.org/10.1155/2012/863792
Research Article
Investigation of High-Frequency Internal Wave Interactions with an Enveloped Inertia Wave... | 4 | [
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A Combined Model of Global Cultivated Area Change and Prediction for Future: 1961–2020
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 125260, 7 pages
http://dx.doi.org/10.1155/2013/125260
Research Article
A Combined Model of Global Cultivated Area Change and Prediction for Future: 1961–2020
^1Key Research B... | 4 | [
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Stirlings Formula
July 26th 2011, 01:55 PM #1
Member
Joined
Jan 2011
Posts
110
Stirlings Formula
I need to use Stirlings Formula to determine a number ¬ such that
(4n)!/((2n)!)^2 ~ ¬ 2^4n/Route n as n ---> infinity
I have
By Stirling's Formula, and the Product and Quotient Rules for ~, we ... | 5 | [
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Integrate by Parts
February 5th 2013, 06:46 PM #1
Integrate by Parts
Hi everyone! Well we are asked to do $\int_{}^{} sin(3x)cos(5x)dx$ exculsively by integration by parts. Doing it by trig identities is pretty easy, but once I do this one by integration by parts,
including the integrand $\int_{}^{}vdu$, I al... | 5 | [
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0.... | 16,090 | 16090 | |
Isomorphic
August 17th 2012, 09:38 AM #1
Newbie
Joined
Aug 2012
From
Canada
Posts
21
Isomorphic
Show that any 2 groups with order 2 are isomorphic
So I guess we can start off with
Suppose $G=(\{e,a\}, \cdot )$ and H=({i,b},*) are 2 groups with identity elements e and i
And Like i am getti... | 5 | [
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Physics Forums - View Single Post - Parallel transport on the sphere
1. The problem statement, all variables and given/known data
Consider a closed curve on a sphere. A tangent vector is parallel transported around the curve. Show that the vector is rotated by an angle which is proportional to the solid angle subtende... | 4 | [
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Orders of p-groups, normal subgroups
If H is a p-group show every element can be multiplied by some power to equal p.
Last edited by kimberu; April 12th 2010 at 07:05 PM.
a. No need to bring in Cauchy. For any x in G, if x is not the identity, then x has an order p^r for some r>0. What about $x^{p^{r-1}}$? b. Further... | 4 | [
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Modeling Transmission Dynamics and Control of Vector-Borne Neglected Tropical Diseases
Abstract
Neglected tropical diseases affect more than one billion people worldwide. The populations most impacted by such diseases are typically the most resource-limited. Mathematical modeling of disease
transmission and cost-effec... | 4 | [
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Overview
38.1 Overview
The problem of multidimensional nonlinear least-squares fitting requires the minimization of the squared residuals of n functions, f_i, in p parameters, x_i,
\Phi(x) = (1/2) || F(x) ||^2
= (1/2) \sum_{i=1}^{n} f_i(x_1, ..., x_p)^2
All algorithms proceed from an initial guess using the... | 4 | [
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Quick Quotient Rule Question
July 17th 2012, 07:37 AM
AZach
Quick Quotient Rule Question
Hello all, I have been having some trouble grasping the quotient rule. Here's a sample problem, and I'll point out where I get tripped up.
$f(x)=\frac{12.6(4.8^{x})}{x^2}$
1) $f'(x)=\frac{d}{dx}[{12.6(4.8^{x})}]*{x... | 5 | [
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Relating dBµ and dBf
Broadcasters normally specify electromagnetic field strength in dBµ, which is dB above 1 µV/m. Receiver manufacturers typically specify sensitivity in dBf, which is dB above 1 femtowatt (10−15 W). I
wondered h... | 4 | [
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Patent US5901075 - In a digital adaptive finite impulse response filter
FIELD OF THE INVENTION
This invention relates to a Finite Impulse Response filter, and more particularly to an adaptive weighting coefficient Finite Impulse Response filter.
BACKGROUND OF THE INVENTION
A variety of digital techniques provide mea... | 4 | [
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Pythagoras Explained
Pythagoras of Samos, mathematician and philosopher, died about 2500 years ago. Nevertheless, his name is familiar to baseball fans. The "Pythagorean Expectation", invented by Bill James in the 1980s,
predicts a team's winning percentage from runs scored and runs allowed. Despite the intimidating na... | 4 | [
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