content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Cauchy's Theorem question, abelian case
November 5th 2012, 08:33 PM #1
Junior Member
Joined
Oct 2012
From
Austin, Texas
Posts
36
Cauchy's Theorem question, abelian case
Theorem: Let G be a finite group and p be a prime. If p divides the order of G, then G has an element of order p.
Proof 1: We in... | 5 | [
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... | 19,900 | 19900 | |
calculating limit of a sequence
December 30th 2012, 10:56 AM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
calculating limit of a sequence
i need to calculate the limit of this sequence:
$\sqrt[n^2]{n!}$
i tried to use the sandwich rule to squeeze it between to sequences, but... | 5 | [
0.05908203125,
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0.01806640625,
-... | 19,901 | 19901 | |
Work done along a path
November 27th 2012, 04:10 PM #1
Newbie
Joined
Sep 2012
From
Canada
Posts
19
Work done along a path
Let the vector field be F(x,y,z) = (z^2+e^(2z))i + (z^3+1)j + (2xz+2xe^(2z)+3yz^2)k calculate the work done along the segment from point (0,1,0) to (1,0,3) using 2 different metho... | 5 | [
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0.... | 19,902 | 19902 | |
Circle question
December 8th 2009, 03:12 AM #1
Junior Member
Joined
Sep 2009
Posts
40
Circle question
A point P is 8cm from the centre of a circle of radius length 5cm. Find the length of the major arc between the points of contact of the tangents drawn from P to the circle.
Thanks in advance.
... | 4 | [
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How to solve this limit
How do you solve lim as n approaches infinity of (n^(1/n)+1)?
Hint : Set $\ln A=\ln\left(n^{1/n}\right)$ and show : $\lim_{n \to \infty}\ln A=0$
lim n→∞ (n^(1/n)+1) = lim n→∞ (n^(1/n)) +1 lim n→∞ (n^(1/n)) is indeterminate, use L'Hopital's Rule First change the limit into e^(lim n→∞ ln(n^(1/n)... | 5 | [
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-0.0966... | 19,904 | 19904 | |
Converting Quadratic equations to Vertex form and solving quadratic inequalities
June 12th 2008, 09:05 PM #1
Newbie
Joined
Jun 2008
Posts
1
Converting Quadratic equations to Vertex form and solving quadratic inequalities
I'm litteraly confounded as to how to turn this equation
y=x^2+18x-4
and I... | 4 | [
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0.0830078125,
0.06298828125,
-0.06... | 19,905 | 19905 | |
Linear Combination
March 15th 2007, 12:44 PM #1
Newbie
Joined
Feb 2007
Posts
18
Linear Combination
I have tried to solve this problem:
714x + 7007y = 7
but I have not come to a solution yet.
Thank you!
Let us find the greatest common divisor by the algorithm mentioned in the Elements.... | 4 | [
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Continuous and differentiable points of f(x,y,z) (Existence of multivariable limit?)
P: 40
1. The problem statement, all variables and given/known data
Find the continuous points P and the differentiable points Q of the function [tex]f[/tex] in [tex]{R}^3[/tex], defined as
[tex]f(0,0,0) = 0[/tex]
and
[tex]f(x,y,z)... | 5 | [
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... | 19,907 | 19907 | |
Please solve the equation for "Y"? (a few more problems!)
September 18th 2010, 10:24 PM #1
Newbie
Joined
Sep 2010
Posts
10
Hello,
I wasn't completly sure on the ones I have solved.
Most of these I have already solved, and have included the answer I got! Please tell me if I have gotten the a... | 4 | [
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0.02233886718... | 19,908 | 19908 | |
Full-Wave Analysis of Traveling-Wave Field-Effect Transistors Using Finite-Difference Time-Domain Method
International Journal of Antennas and Propagation
Volume 2012 (2012), Article ID 948972, 9 pages
http://dx.doi.org/10.1155/2012/948972
Research Article
Full-Wave Analysis of Traveling-Wave Field-Effect Transistors... | 4 | [
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integration method
December 9th 2009, 03:56 PM #1
Junior Member
Joined
Oct 2009
Posts
48
integration method
what method would you use to integrate:
y^4*((x+1)/((x-2)(x^2+5)))
Thought it would be partial fractions and by parts but doesn't seem to work, thanks
I'm assuming you're integrating... | 4 | [
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0.02... | 19,910 | 19910 | |
Cauchy-Schwarz Inequality
February 3rd 2008, 06:27 PM #1
Member
Joined
Jan 2008
Posts
154
Cauchy-Schwarz Inequality
If $a_{1}, \ldots, a_{n}$ and $b_{1} \ldots, b_{n}$ are arbitrary real numbers, then $\left(\sum_{k=1}^{n} a_{k}b_{k} \right)^{2} \leq \left(\sum_{k=1}^{n} a_{k}^{2} \right) \left(\sum_{k=1... | 4 | [
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0.... | 19,911 | 19911 | |
Combinations - How many ways can you choose 20 ...
September 24th 2008, 09:03 PM
jlt1209
Combinations - How many ways can you choose 20 ...
My teacher gave us this question and I'm not sure if I'm just going about it wrong, but it seems to me like there isn't enough information. The question is:
A store sel... | 4 | [
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0.041015625... | 19,912 | 19912 | |
Calculating IV Rate Questions.
1. 0
I really need some help with dosage problems. We are having our lab checkoff on Tues. Here is the question and I can not figure out how to even put the problem on paper. What formula do I use?
How do I solve this? I am sure that it is something simple but I am stumped. Her... | 4 | [
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... | 19,913 | 19913 | |
Math Help
I need to simplify 2 expressions: a) $\frac{7}{(x-4)(x-4)}$ b) $\frac{-3\sqrt{x-2}}{2(x-2)^2}$
Are you meant to use index laws? If so then note: a) $\frac{7}{(x-4)(x - 4)} = \frac{7}{(x-4)^2} = 7 (x - 4)^{-2}$ (the last is a debatable simplification). b) $\sqrt{x - 2} = (x - 2)^{1/2}$. Now use
the fact that... | 4 | [
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Topolog
DefinitionEdit
Let $(X,\mathcal{T})$ be a topological space. A collection $\mathcal{B}$ of open sets is called a base for the topology $\mathcal{T}$ if every open set $U$ is the union of sets in $\mathcal{B}$.
Obviously $\mathcal{T}$ is a base for itself.
Conditions for Being a BaseEdit
In a topological spa... | 4 | [
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-0.01794433593... | 19,915 | 19915 | |
2 Infinite Geometric Sequence Problems
September 20th 2010, 11:56 PM #1
Newbie
Joined
Jun 2010
Posts
3
2 Infinite Geometric Sequence Problems
(I think I'm posting in the right place, but not completely sure)
Question 1
The water used in the orchard is stored in a tank.
Each afternoon, 10% of ... | 4 | [
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... | 19,916 | 19916 | |
Finding number
December 19th 2009, 10:33 AM
Dogod11
Finding number
Hello everyone,
I'm curious to know:
A different set of natural numbers has median 20 and medium 17.
What will be the largest number in this series?
What I have done:
Because they are natural numbers then are positive;
... | 4 | [
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0.00086212158203... | 19,917 | 19917 | |
RC
Quote:
Originally Posted by
Fourdan
Hi
So if Flieslikeabeagle (John) is listening :
Data in metric
Weight 700g
Span 1370mm
Wing area 24 dm2
WOC leads to CWL = 4.4 g/dm3
I find CWL = 700 / (24^1.5) = 5.95 g/dm3
WL = 29.2 g/dm2 is correct
Regards
Louis
Hi Louis, as it happens, I did log in today, so I found yo... | 4 | [
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... | 19,918 | 19918 | |
Chemistry Question
April 23rd 2010, 11:25 PM #1
Chemistry Question
Gah.
Question: In particle accelerators, protons can be accelerated to speeds near that of light. Estimate the wavelength in nm of such a proton moving at $2.40 * 10^8$ m/s. (mass of proton = $1.673 *
10^{-27}$kg)
Here's the work I'v... | 4 | [
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0.0673828125,
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Proposition 27
If two numbers are relatively prime, and each multiplied by itself makes a certain number, then the products are relatively prime; and, if the original numbers multiplied by the products make certain
numbers, then the latter are also relatively prime.
Let A and B be two relatively prime numbers, let A ... | 4 | [
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Determine the progression?
May 21st 2009, 10:00 AM #1
Determine the progression?
Suppose $x_1,x_2,x_3,\mbox{...},x_n$ are in Arithmetic Progression. It is given that $x_1 + x_2 + \mbox{...} + x_n = a$ and $x_1^2 + x_2^2 + \mbox{...} + x_n^2 = b^2$. Determine the progression.
Answer:
I was unable to do i... | 4 | [
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0.037841796875,
0.01116... | 19,921 | 19921 | |
prove that if sequence (an) converges, use def of limit of sequence to prove...
August 28th 2009, 02:34 AM #1
Newbie
Joined
Aug 2009
Posts
6
prove that if sequence (an) converges, use def of limit of sequence to prove...
that if an>=1 for all natural number n, then L >= 1.
My answer :
From the ... | 4 | [
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xample
This example illustrates the basic functionality of the toolbox and shows how the generated code and the interfaces are used. More details can be found in the user guide.
Let us consider the following parametric problem (the parametric problem data is indicated in red).
where
and
Using FiOrdOs syntax, t... | 4 | [
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0.03955078125,
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-0.0947265625,... | 19,923 | 19923 | |
Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP
International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 287145, 12 pages
http://dx.doi.org/10.1155/2011/287145
Research Article
Comparison between Certain Equivalent Norms Regarding So... | 5 | [
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0.0084228515625,
-0.04052734375... | 19,924 | 19924 | |
Patent US7551969 - State based adaptive feedback feedforward PID controller
CROSS REFERENCE TO RELATED APPLICATIONS
This application is a continuation of U.S. patent application Ser. No. 10/419,582 filed Apr. 21, 2003 and entitled “State Based Adaptive Feedback Feedforward PID Controller” which is a
continuation-in-pa... | 4 | [
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0.06396484375,
0.007354736328... | 19,925 | 19925 | |
Trigonometric Equations?
May 10th 2009, 12:14 PM
Frontier
Trigonometric Equations?
I have an assignment here on trig equations but I'm not sure how to do them. I have a vague idea but my textbook doesn't offer much help and I won't be able to ask my teacher for assistance until
Thursday. Would anybody be wil... | 4 | [
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-0.0230712890625,
... | 19,926 | 19926 | |
Compound Interest Problem
July 15th 2013, 05:40 PM #1
Junior Member
Joined
Jan 2013
From
Washington State
Posts
27
Compound Interest Problem
Kathy deposits $10,000 in her retirement account, which compounds interest continually. If she has $19,600 in the account after four years, how much money will ... | 5 | [
0.0361328125,
0.007720947265625,
0.0137939453125,
-0.01080322265625,
-0.049072265625,
-0.018798828125,
0.01513671875,
0.07275390625,
-0.048828125,
0.07177734375,
-0.0186767578125,
0.016845703125,
-0.01470947265625,
0.07421875,
-0.001708984375,
0.1015625,
-0.09423828125,
-0.01245117... | 19,927 | 19927 | |
Modular Arithmatic
January 31st 2008, 03:45 PM
nippy
Modular Arithmatic
Find the value of x:
(35-207)= x mod 11
Can someone show the steps for this answer? I just don't know what to do after I get -172.
January 31st 2008, 05:00 PM
topsquark
Quote:
$(35 - 207) \equiv x~\text{mod 11}$
$... | 4 | [
-0.048828125,
0.12353515625,
-0.0035552978515625,
-0.099609375,
-0.0137939453125,
0.00103759765625,
0.060302734375,
0.0279541015625,
-0.06298828125,
-0.05615234375,
0.002685546875,
0.0203857421875,
0.037841796875,
-0.0011444091796875,
0.02099609375,
-0.06591796875,
0.0400390625,
-0... | 19,928 | 19928 | |
inequality induction question
September 19th 2010, 10:15 PM #1
Junior Member
Joined
Mar 2008
Posts
55
inequality induction question
Having some trouble with this one...
Consider the sequence a(n) n in natural numbers defined by a(1) = 1, a(2) = 2, a(3) = 3 and a(n) = a(n-1) + a(n-2)+a(n-3) for all n... | 4 | [
-0.0693359375,
0.011474609375,
-0.039794921875,
-0.05029296875,
-0.0517578125,
0.006072998046875,
-0.032958984375,
-0.06396484375,
0.014892578125,
0.0732421875,
-0.10107421875,
-0.044921875,
0.05517578125,
-0.057861328125,
0.0634765625,
-0.01409912109375,
-0.041748046875,
0.0092163... | 19,929 | 19929 | |
Laurent series
September 23rd 2009, 08:50 AM #1
Laurent series
Hi
Complex Analysis....
Problem:
Find the Laurent series for $f(z)=\frac{z^{2}}{z^{2}-1}$ about the point $z_{0}=1$
I got that $f(z)=1+\frac{1}{2}\cdot \frac{1}{z-1}-\frac{1}{2}\cdot \frac{1}{z+1}$ , which I wrote as $1+\frac{1}{2}\... | 5 | [
0.0269775390625,
0.0291748046875,
-0.016357421875,
0.06640625,
0.0108642578125,
-0.041259765625,
-0.0184326171875,
0.009765625,
0.0123291015625,
0.08251953125,
-0.05615234375,
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0.015869140625,
0.08251953125,
-0.10888671875,
0.036376953125,
0.033203125,
-0.08203125,
... | 19,930 | 19930 | |
Vampire Numbers Revisited
Limbic~Region has asked for the wisdom of the Perl Monks concerning the following question:
All,
YuckFoo
stated in
Vampire Numbers
that
A Vampire Number is equal to a product of it's digits like 1435 = 41 * 35
and later on mused that
...it would be interesting to look for products of m... | 4 | [
-0.02490234375,
0.0177001953125,
-0.06494140625,
-0.052734375,
-0.0216064453125,
0.006378173828125,
0.03125,
0.0223388671875,
-0.018310546875,
-0.022705078125,
0.00909423828125,
-0.034423828125,
0.009033203125,
0.036376953125,
-0.07763671875,
0.003692626953125,
-0.0177001953125,
0.... | 19,931 | 19931 | |
Simplify this expression...
Get ready for a ride.... Here are the highlights: Let $\displaystyle x = ( 2 + \sqrt{5} )^{1/3} + (2 - \sqrt{5} )^{1/3}$ Now $\displaystyle x^3 = (2 + \sqrt{5}) + 3( 2 + \sqrt{5} )^{2/3}(2 - \sqrt{5}
)^{1/3} + 3(2 - \sqrt{5} )^{1/3}(2 - \sqrt{5})^{2/3} + (2 - \sqrt{5})$ This reduces to $\dis... | 5 | [
-0.001617431640625,
-0.0556640625,
0.007049560546875,
0.07373046875,
-0.037841796875,
-0.032958984375,
0.010009765625,
-0.0625,
0.06884765625,
0.0172119140625,
0.006500244140625,
-0.033447265625,
0.0091552734375,
0.056396484375,
0.0296630859375,
0.06689453125,
-0.031494140625,
0.03... | 19,932 | 19932 | |
Nonexact Differential Equation (Possible to solve by integrating factor?)
1. The problem statement, all variables and given/known data
Solve the differential equation: [itex]t^2 y' + y^2 = 0[/itex]
3. The attempt at a solution
Now, it's definitely possible to solve this via separable of variables. But I am curious to... | 4 | [
-0.0264892578125,
-0.023193359375,
0.078125,
0.039794921875,
0.09619140625,
0.0654296875,
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0.0181884765625,
-0.0169677734375,
-0.001983642578125,
0.1064453125,
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-0.0157470703125,
0.042724609375,
0.017333984375,
0.0126953125,
-0.03125,
0.014831... | 19,933 | 19933 | |
need help with these Q's please
May 25th 2006, 06:36 PM #1
Newbie
Joined
May 2006
Posts
12
need help with these Q's please
Players select one chip froma bag with 8 zerosand 4 ones and one chip froma bag with 4 zeros and 8 ones. Their score is the larger of the two numbers on the chips.
Present the p... | 5 | [
0.049560546875,
0.11376953125,
0.0289306640625,
-0.0220947265625,
-0.06689453125,
0.019775390625,
0.041748046875,
0.1396484375,
-0.002166748046875,
0.0274658203125,
0.030029296875,
-0.13671875,
0.06201171875,
-0.035400390625,
-0.009765625,
-0.040771484375,
0.043701171875,
-0.022827... | 19,934 | 19934 | |
Homomorphism
13.02 (Determine whether or not
Book
13.02 (Determine whether or not φis a homomorphism.) Let φ: R → Z under addition be given by φ(x) = the greatest integer ≤ x. Solution: It is not a
E cient homomorphism-free enumeration of conjunctive queries
Book
E cient homomorphism-Free enumeration of conjunctive... | 5 | [
-0.08837890625,
0.025634765625,
0.083984375,
-0.024169921875,
0.07275390625,
0.05517578125,
0.150390625,
0.01611328125,
-0.04150390625,
-0.0181884765625,
0.1396484375,
0.0189208984375,
-0.01519775390625,
-0.045654296875,
0.0198974609375,
0.032470703125,
-0.0751953125,
-0.0233154296... | 19,935 | 19935 | |
Math Help
July 18th 2006, 10:41 AM #1
Member
Joined
Sep 2005
Posts
136
plz help
1>Is sqrt(x^2)=x an identity (true for all values of x)?
2> For the equation x-sqrt(x)=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
b) Graph the functions and on the sam... | 4 | [
-0.0380859375,
0.01953125,
0.0147705078125,
0.0380859375,
-0.033935546875,
-0.0380859375,
0.059814453125,
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0.039794921875,
-0.0198974609375,
0.10498046875,
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0.0576171875,
0.0634765625,
0.01708984375,
0.0169677734375,
-0.059814453125,
-0.0549316406... | 19,936 | 19936 | |
On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes
Journal of Mathematics
Volume 2013 (2013), Article ID 793824, 10 pages
http://dx.doi.org/10.1155/2013/793824
Research Article
On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes
Department of Mathematics, Mar Athanasius College, Kothamanga... | 5 | [
0.0002727508544921875,
-0.06396484375,
-0.033447265625,
-0.087890625,
0.051513671875,
-0.012451171875,
0.0966796875,
-0.07861328125,
0.00604248046875,
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0.01123046875,
0.0272216796875,
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0.028076171875,
0.05810546875,
... | 19,937 | 19937 | |
Function LCM
Syntax:
lcm &rest integers => least-common-multiple
Arguments and Values:
integer---an integer.
least-common-multiple---a non-negative integer.
Description:
lcm returns the least common multiple of the integers.
If no integer is supplied, the integer 1 is returned.
If only one integer is ... | 4 | [
-0.009521484375,
0.02001953125,
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-0.07568359375,
0.01019287109375,
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-0.034912109375,
-0.0... | 19,938 | 19938 | |
Differentiate Exponents
May 30th 2007, 12:05 PM #1
Newbie
Joined
Oct 2006
Posts
18
Find first and second derivatives, critical number, inflection points.
f(x) = xe^x
f'(x) = ('x) (e^x) + x(e^x)('x)
f'(x) = e^x+xe^x
f'(x) = e^x(1+x)
Critical number x = -1
f"(x) = e^x(1) + (1+x)(e^... | 4 | [
-0.041748046875,
-0.05517578125,
0.0054931640625,
-0.00750732421875,
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0.09228515625,
0.07763671875,
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0.044921875,
0.10546875,
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0.08349609375,
-0.0025787353515625,
0.0072021484375,
-0.05517578125,
-0.0201416015625,
-0... | 19,939 | 19939 | |
Simplifying a composite function.
September 26th 2011, 03:57 PM #1
Newbie
Joined
Sep 2011
Posts
8
Simplifying a composite function.
I was hoping someone could help me out with the following problem:
f(g(x))
f=(1+x)/2x
g=x/(3x+2)
I need to simplify that and find out the domain of the co... | 4 | [
-0.0267333984375,
-0.047119140625,
0.032470703125,
-0.00011730194091796875,
-0.005889892578125,
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-0.043212890625,
-0.03466796875,
0.0196533203125,
0.08056640625,
0.04541015625,
-0.11376953125,
-0.00927734375,
0.002655029296875,
0.022705078125,
0.01214599609375,
0.01190... | 19,940 | 19940 | |
Math Help
July 7th 2008, 02:01 PM #1
Member
Joined
Mar 2008
Posts
99
Divisibility
1) If $(a,b) = d$, prove that $(\frac{a}{d}, \frac{b}{d}) = 1$
Not quite sure how to do that one..
2) If $a|(b+c)$ and $(b,c)=1$, prove that $(a,b) = 1 = (a,c)$
Suppose $d|a$ and $d|b$
$a=du$ for some u... | 5 | [
-0.0830078125,
0.0625,
0.00049591064453125,
-0.0810546875,
0.0145263671875,
0.02392578125,
0.03173828125,
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-0.025634765625,
-0.017333984375,
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0.0033416748046875,
0.06787109375,
0.0247802734375,
0.004302978515625,
-0.0185546875,
-0.00... | 19,941 | 19941 | |
[SOLVED] metric problem
September 13th 2008, 12:30 PM #1
maybe im wrong or wrote the correct answer differently...
i put that there is 4.96 x 10^-7 tons in 4.5 x 10^2 kg. is that right?
and for a drive way that measures 20ft by 30ft, how much area does it cover in square mL... but i think its mm since th... | 4 | [
-0.01043701171875,
0.09765625,
-0.005340576171875,
-0.014404296875,
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0.02490234375,
0.10498046875,
-0.0244140625,
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0.050048828125,
0.00994873046875,
0.026... | 19,942 | 19942 | |
log question help
September 12th 2008, 02:33 AM #1
Newbie
Joined
Jan 2008
Posts
11
log question help
so the equation is
house price = A(2.7)^kt
t= time in years
A and k are constants
price is 112486 when t=3
price is 131593 when t=7
question is to work out A and k
I've been ... | 4 | [
-0.00994873046875,
0.07470703125,
0.03173828125,
-0.00970458984375,
-0.05810546875,
-0.07568359375,
0.012939453125,
-0.0126953125,
0.019287109375,
0.1416015625,
0.04296875,
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0.0238037109375,
-0.0198974609375,
0.047119140625,
0.0201416015625,
-0.1259765625,
0.0458984... | 19,943 | 19943 | |
3-Regular graph
October 13th 2010, 07:27 PM #1
Super Member
Joined
Feb 2008
Posts
535
3-Regular graph
Prove that a 3-regular simple graph has a 1-factor if and only if it decomposes into
copies of P4.
Prove that every 3-regular simple graph with no cut-edge decomposes into copies
of P4.
... | 5 | [
-0.00176239013671875,
0.043701171875,
0.0791015625,
0.0024871826171875,
0.064453125,
-0.006317138671875,
0.020263671875,
-0.0546875,
-0.10009765625,
0.07568359375,
0.0035858154296875,
0.018310546875,
-0.041748046875,
0.0235595703125,
0.006103515625,
0.046142578125,
-0.0303955078125,
... | 19,944 | 19944 | |
partial diff.
April 24th 2007, 02:24 AM #1
Hey All,
how would you solve the following:
given that Ø = 3x^2 + y^3 + z^4
show that x/2.∂Ø/∂x + y/3.∂Ø/∂y + z/4.∂Ø/∂z = Ø
I have found; ∂Ø/∂x=6x, ∂Ø/∂y=3y^2, ∂Ø/∂z=4z^3
Hello, dadon!
You're that close . . .
Given: .F .= .3x² + y³ + z^... | 5 | [
-0.03662109375,
0.054931640625,
0.026123046875,
-0.0084228515625,
-0.0269775390625,
-0.01025390625,
-0.03466796875,
-0.0277099609375,
-0.049560546875,
0.00994873046875,
-0.03857421875,
-0.05078125,
-0.0037689208984375,
-0.00982666015625,
-0.005950927734375,
0.0213623046875,
-0.105468... | 19,945 | 19945 | |
Group Factoring
February 16th 2010, 12:40 PM
shadow6
Group Factoring
I have three questions involving group factoring, though I'm not exactly sure how to do them. I've done this so far.
a)
ac + bc - ad - bd
(ac + bc) - (ad - bd)
c(a + b) - d(a - b)
(a + b)(c - d)(-1)
Is the negative sup... | 4 | [
-0.10009765625,
-0.0010986328125,
0.053466796875,
-0.0240478515625,
0.0673828125,
0.0400390625,
0.00433349609375,
-0.038330078125,
-0.07568359375,
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0.07470703125,
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0.0478515625,
-0.0167236328125,
0.09033203125,
-0.047119140625,
... | 19,946 | 19946 | |
Patent US4734702 - Passive ranging method and apparatus
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention pertains, in general, to passive direction and range finding, and in particular, to a method and apparatus for passive ranging from a moving platform to a stationary, non-cooperative
emitter.
... | 4 | [
-0.016845703125,
0.00927734375,
-0.08837890625,
-0.026123046875,
-0.006622314453125,
-0.0269775390625,
0.0194091796875,
0.05224609375,
-0.0400390625,
0.05517578125,
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0.033447265625,
-0.046630859375,
-0.0218505859375,
0.017578125,
0.054443359375,
0.011... | 19,947 | 19947 | |
Patent US5129002 - Pattern recognition apparatus
This is a continuation of application Ser. No. 540,356, filed on Jun. 19, 1990, for a Pattern Recognition Apparatus, abandoned, which is a continuation in part of Ser. No. 285,193 filed Dec. 15,
1998, abandoned.
BACKGROUND OF THE INVENTION
1. Field of the Invention app... | 4 | [
-0.158203125,
0.039306640625,
-0.057373046875,
-0.1474609375,
-0.0458984375,
0.09228515625,
0.056396484375,
0.00067901611328125,
0.02734375,
-0.057861328125,
-0.02294921875,
0.0732421875,
0.033935546875,
-0.004608154296875,
-0.045166015625,
-0.04638671875,
0.01953125,
-0.0001945495... | 19,948 | 19948 | |
subtracting rationals
September 9th 2007, 04:00 PM #1
subtracting rationals
Hi Everyone! I would like you to check my work.
BTW my book is Precalculus, 3rd Edition by Bittinger, Beecher, Ellenbogen, and Penna
The directions are to add/subtract/divide and simplify if possible.
#38: $\frac{3a}{3a\,-\... | 4 | [
-0.05810546875,
0.011474609375,
0.01483154296875,
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-0.02392578125,
0.00122833251953125,
-0.0225830078125,
0.038330078125,
-0.10791015625,
0.04541015625,
0.07958984375,
0.003753662109375,
0.0595703125,
-0.004730224609375... | 19,949 | 19949 | |
Two Different Masses on an Uncentered Fulcrum (Torque)
1. The problem statement, all variables and given/known data
Two blocks each of mass 1.9 kg are suspended from the ends of a rigid weightless rod of length l1 = 1.43 m and l2 = .085 m. The rod is held in the horizontal position shown and then released.
Calculate ... | 4 | [
-0.031005859375,
0.00042724609375,
0.013671875,
-0.021240234375,
-0.033447265625,
-0.040283203125,
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0.10986328125,
-0.00848388671875,
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0.1103515625,
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0.05712890625,
-0.040283203125,
-0.0849609375,
0.1025390625,
-0.024169921875,
-0.001205... | 19,950 | 19950 | |
September 2
M Theory Lesson 228
Observe that in
any
dimension, the diagonal Fourier operator $D$ that generalises $\sigma_{Z}$ will have the elementary basis vectors as eigenvectors. Similarly, the basic 1-circulant $(23 \cdots n 1)$ provides a basis
set that is complementary to the basis set for $D$. An example of... | 4 | [
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-0.038330078125,
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-0.06689453125,
-0.0966796875,
0.0123291015625,
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-0.01287841796875,
0.08349609375,
-... | 19,951 | 19951 | |
A Partial differetial question
February 1st 2008, 08:11 AM #1
Newbie
Joined
Dec 2007
Posts
14
A Partial differetial question
PV = RT(1+B(T)/V)
Code:
$\beta$ = (1/V)*(
$\frac{dV}{dT}$)
at constant P
show
Code:
$\beta$ =
$\frac{1}{T}$*
$\frac{V + B + T\frac{d... | 4 | [
-0.09130859375,
0.053466796875,
0.01068115234375,
0.00738525390625,
-0.0234375,
0.028076171875,
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0.0206298828125,
-0.00121307373046875,
0.061279296875,
0.04052734375,
-0.0225830078125,
-0.04150390625,
0.0615234375,
0.039306640625,
0.053955078125,
-0.05859375,
0.0439... | 19,952 | 19952 | |
Find P(X<Y) for two independent exponential random variables
October 19th 2010, 02:20 PM #1
Member
Joined
Sep 2008
Posts
79
Find P(X<Y) for two independent exponential random variables
Suppose that X and Y are independent exponential random variables with means m and n, respectively. Demonstrate that P (... | 4 | [
-0.034912109375,
0.04443359375,
-0.0052490234375,
-0.0291748046875,
0.05712890625,
-0.0230712890625,
-0.0013580322265625,
-0.02099609375,
-0.034912109375,
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0.0849609375,
0.0400390625,
0.05810546875,
0.031494140625,
0.09619140625,
0.06298828125,
0.050048828125,
-0... | 19,953 | 19953 | |
Separable equations
May 22nd 2010, 11:26 PM
Fredrik373
Separable equations
Hi!
I have problem solving this equation
dy/dx = y/2x
The answer should be y^2 = Cx
I cannot understand why you multiply the constant with x...
May 23rd 2010, 12:54 AM
mr fantastic
Quote:
$\frac{1}{y} \, d... | 5 | [
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Find Curvature Question
November 20th 2010, 11:14 AM #1
Newbie
Joined
Nov 2010
Posts
24
Find Curvature Question
Find the curvature κ(t) of the parabola x(t) = (t, t^2) for -∞ < t<∞
I've found d2x/dt2 to be 2 and dx/dt to be 2t
using κ(t) = d2dt2/(1 + (dx/dt)^2)^3/2
is there any way I can ea... | 4 | [
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Right actions of operads and monads
up vote 8 down vote favorite
8
Given an operad $A$, there is an associated monad $M_A$ given by $M_A(X) = \coprod_n A(n) \otimes X^{\otimes n}$ such that being an $A$-algebra and being an algebra over the monad $M_A$ is the same
thing (the categories are equivalent). This is very cl... | 4 | [
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Limit: Indeterminate Form/L'Hospital's Rule
May 26th 2008, 09:56 AM #1
Limit: Indeterminate Form/L'Hospital's Rule
Evaluate the limit. (If you need to use -
$<br /> \mathop {\lim }\limits_{x \to \infty } \frac{{\ln \left( {\ln \left( {4x} \right)} \right)}}<br /> {{4x}}<br />$
Here's what I tried. Here'... | 5 | [
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... | 19,957 | 19957 | |
Matlab Plotting of QM double-potential-barrier
Hey everyone, I have a quantum mechanics/matlab issue. I'm trying to plot the Transmission Coefficient T(E) of a double-potential barrier with barrier width 3nm and spacing 9nm, potential V = 0.5eV
and sweeping energy from 0 to 1eV. Using the cascading matrix method where,... | 4 | [
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... | 19,958 | 19958 | |
Speed of atoms ejected from an oven
My question is this: what is the average speed of atoms released from an oven at some temperature T? For example, in a Stern-Gerlach experiment, hydrogen atoms are emitted from an oven and collimated
into a beam by passing them through a slit (and then sent into an inhomogenous magne... | 4 | [
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... | 19,959 | 19959 | |
Patent US4970638 - Control of unknown systems via deconvolution
RIGHTS OF THE GOVERNMENT
The invention described herein may be manufactured and used by or for the Government of the United States for all governmental purposes without the payment of any royalty.
BACKGROUND OF THE INVENTION
The present invention relate... | 4 | [
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-... | 19,960 | 19960 | |
Gauss' Law for Gravitation
1. The problem statement, all variables and given/known data
The gravitational field g due to a point mass M may be obtained by analogy with the electric field by writing an expression for the gravitational force on a test mass, and dividing by the magnitude
of the test mass, m. Show that Gau... | 4 | [
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0.... | 19,961 | 19961 | |
Putnam proof
August 29th 2006, 12:42 PM #1
MHF Contributor
Joined
Oct 2005
From
Earth
Posts
1,599
Putnam proof
I am studying for the Putnam competition in December and I want just a hint at how to do this problem, not a full solution please. I'm trying to develop a good methodology to approaching pro... | 5 | [
-0.00775146484375,
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0.015625,
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-0... | 19,962 | 19962 | |
Density Problem and Approximation Error in Learning Theory
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 715683, 13 pages
http://dx.doi.org/10.1155/2013/715683
Research Article
Density Problem and Approximation Error in Learning Theory
Department of Mathematics, City University of Hong Kong, Tat Chee ... | 5 | [
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m22#30
Author Message
3
This post received
KUDOS
Expert's post
... | 4 | [
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Equation of plane through two points and parallel to line
May 18th 2011, 03:45 PM
blackbear
Equation of plane through two points and parallel to line
Quote:
Find the equation of the plane passing through the points (3, 2, -1) and (1, -1, 2) that is parallel to the line r(t) = <1, -1, 0> + t<3, 2, -1>
L... | 4 | [
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-0.05029296875,
-0.09082... | 19,965 | 19965 | |
Apostol Section 10.20 #51
October 11th 2011, 12:42 PM #1
Junior Member
Joined
Sep 2011
Posts
70
Thanks
2
Apostol Section 10.20 #51
Given a covergent series $\textstyle \sum a_n$, where each $a_n \ge 0$, prove that $\textstyle \sum \sqrt{a_n} n^{-p}$ converges if $p>\frac 1 2$.
My attempt so far:... | 4 | [
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Pair of dice question, P(at least 4 rolls)
October 4th 2009, 05:16 PM
Flipz4226
Pair of dice question, P(at least 4 rolls)
Hi, I need some help with this...
Two dice are rolled until a 6 appears on at least one of the dice. What is the probability that it takes at least four rolls(of two dice) before the fi... | 4 | [
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0.0654296875,
-0.08349609375,
-0.0400390625... | 19,967 | 19967 | |
Area of a polygon
March 22nd 2007, 01:26 PM
Recklessid
Area of a polygon
Hello, I was wondering if anyone can help me with this problem.
A) Let A_n be the area of a polygon with n equal sides inscribed in a circle with radius r. By dividing the polygon into n congruent triangles with central angle of (2pi)/n... | 5 | [
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three-dimensional applications
January 11th 2011, 07:17 AM
Eftychia
three-dimensional applications
A hot-air balloon, B, is observed simultaneously from two points, P and Q, on horizontal ground. From P the bearing of B is 60 degrees at an angle of elevation of 45 degrees. From Q the bearing
of B is 330 degr... | 4 | [
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If f is bounded on every neighborhood of x in [a,b], then f is bounded on [a,b]
November 10th 2009, 06:41 AM
anon2194
If f is bounded on every neighborhood of x in [a,b], then f is bounded on [a,b]
$I = [a,b]$ and $f : I \to R$ such that
$\forall x \in I$, $f$ is bounded on a neighborhood $V_{\delta_{x}}(x)$... | 5 | [
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Static and Motional Feedthrough Capacitance of Flexural Microresonator
Active and Passive Electronic Components
Volume 2011 (2011), Article ID 546986, 6 pages
http://dx.doi.org/10.1155/2011/546986
Research Article
Static and Motional Feedthrough Capacitance of Flexural Microresonator
Department of Electrical Enginee... | 4 | [
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... | 19,971 | 19971 | |
Simplifying an expression
Can you please answer this question because i am getting lost ... $\frac{x-y}{xy} +\frac{x-z}{xz}-\frac{z-y}{yz}$
Last edited by mr fantastic; February 21st 2009 at 12:59 PM. Reason: Moved to new thread - needed fixing.
Last edited by mr fantastic; February 21st 2009 at 01:00 PM.
Last edite... | 4 | [
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-0.... | 19,972 | 19972 | |
Integrals for exam
November 20th 2006, 03:56 PM #1
Newbie
Joined
Nov 2006
Posts
6
Integrals for exam
Hey I have an exam in 2 days and I really need some help gettin these questions under control!
integral (x^2*e^-x)dx
I am not quite sure where to start, I was thinkin that I need to use the subst... | 5 | [
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0.0390625,
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Analysis on the Synergy Evolutionary Development of the Collecting, Distributing, and Transporting System of Railway Heavy Haul Transportation
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 329120, 22 pages
http://dx.doi.org/10.1155/2012/329120
Research Article
Analysis on the Synergy Evolutio... | 4 | [
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-0.01684... | 19,974 | 19974 | |
a few word problems
November 11th 2007, 05:56 PM #1
Newbie
Joined
Mar 2007
Posts
16
a few word problems
1) An open box with length x feet,width y feet, and height 2 feet is shown below. It is known that the surface area for this box is 92 square feet and the equation to xy+4x+4y=92. Express the
volum... | 4 | [
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Llinear transformations: Help with proving linear independency
March 21st 2013, 10:06 AM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
Llinear transformations: Help with proving linear independency
Hi guys.
I had the following statement to prove:
Let $\varphi :V\rightarrow W$... | 5 | [
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0.02294921... | 19,976 | 19976 | |
Brevet US6737831 - Method and apparatus using a circuit model to evaluate cell/battery parameters
This is a Continuation-In-Part of patent application Ser. No. 09/940,684 filed Aug. 27, 2001, now U.S. Pat. No. 6,495,990, which is a Divisional of patent application Ser. No. 09/388,501 filed Sep.
1, 1999, which issued as... | 4 | [
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-0.058837890625,
-0.039794921875,
0.048583984375,
... | 19,977 | 19977 | |
Find a cartesian equation
April 19th 2010, 02:01 PM
DarthPipsqueak
Find a cartesian equation
So my professor isn't very good at teaching, and the book isn't very helpful with this as either. It only provides the simplest of examples, and I am still confused as to how to find Cartesian
equations to these two ... | 4 | [
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0.10205078125,
0.0123291015625,
0.037109375,
-0.07568359375,
0.042... | 19,978 | 19978 | |
Solve inequality help plz!!
Note that $|3-4x| \geq 0$ always. If $xot = \tfrac{3}{4}$ then $|3-4x| ot = 0$ and so $|3-4x| > 0$. We know that $x=\tfrac{3}{4}$ cannot be such a number which makes this true - thus we will look at
all other numbers to solve this. Divide by $|3-4x|$ to get $(x+5)(3x-2)>0$. Case 1: Both $(x+... | 4 | [
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0.0255126953125,
0.057373046875,
0.042... | 19,979 | 19979 | |
Gradient of dot product
February 7th 2013, 11:00 AM #1
Newbie
Joined
Oct 2009
Posts
9
Gradient of dot product
Removed this post because I thought it was solved, having to add it again. What is the gradient of acos(u1*u2) (u1 and u2 are the unit vectors)? Apparently the gradient of u1*u2 is u2-(u1*u2)u1
... | 5 | [
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-0.0703125,
... | 19,980 | 19980 | |
Help with a proof by induction
October 29th 2012, 06:01 PM #1
Newbie
Joined
Oct 2012
From
Ohio
Posts
14
Help with a proof by induction
Prove the following using the principle of mathematic induction.
n! > n^2, for all integers n >= 4.
I am especially having trouble with the inductive step. T... | 4 | [
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Finding terminal velocity
profaith
hey how do you find terminal velocity? let say if you need to find the terminal veolcity of a ping pong ball? anyone has any ideas? what kind of experiment can i conduct?
The terminal velocity of spheres like ping pong balls are fairly easy to compute and measure. The motion of such... | 4 | [
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On the Effect of Unit-Cell Parameters in Predicting the Elastic Response of Wood-Plastic Composites
Journal of Engineering
Volume 2013 (2013), Article ID 456398, 7 pages
http://dx.doi.org/10.1155/2013/456398
Research Article
On the Effect of Unit-Cell Parameters in Predicting the Elastic Response of Wood-Plastic Comp... | 4 | [
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subspace topology
Context
Topology
Basic concepts
Theorems
Examples
Contents
Definition
Given a topological space $X$ in the sense of Bourbaki (that is, a set $X$ and a topology $\tau_X$) and a subset $Y$ of $X$, a topology $\tau_Y$ on $Y$ is said to be the topology induced from $\
tau_X$ by the set inclusion $Y... | 4 | [
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another fraction decomposition
Last edited by Jen; May 28th 2008 at 02:54 PM.
I understand the difference of cubes, but I'm having trouble decomposing the fraction.
Show us what you have done so far so that we can see what, exactly, you are having trouble with. Once you have factored the denominator completely, set u... | 4 | [
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The average of A and B is 10...
January 25th 2007, 12:05 PM #1
Member
Joined
Sep 2006
Posts
75
The average of A and B is 10...
The average (arithmetic mean) of A and B is 10, whereas the average of B and 10 is C/2. What is the average of A and C?
This looks like a SAT question.
$\frac{A+B}{2}=1... | 4 | [
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Brevet US8190936 - Method for determining and maximizing unavailability interval
Numéro de publication US8190936 B2
Type de publication Octroi
Numéro de demande US 12/194,045
Date de publication 29 mai 2012
Date de dépôt 19 août 2008
Date de priorité ... | 4 | [
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Average value of a function.
July 28th 2010, 04:38 PM
softballchick
Average value of a function.
Find the number b such that the average value of f(x)=2+6x-3x^2 on the intervak [0, b] is equal to 3.
so I did the integal from 0 to b of 2+6x-3x^2 which is 2x+3x^2-x^3
now what? Do i set it equal to 3 and ... | 4 | [
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45 dergree mirrors in Special Relativity
A beautifully crafted and presented document Hans!
kev
[EDIT] ... I am pretty sure if an angled mirror is moving away from the light source, the angle of reflection will be greater than the angle of incidence and if the mirror is moving towards the
source, the angle of refle... | 5 | [
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Midpoint Theorem
September 26th 2012, 11:19 PM
powercroat783
Midpoint Theorem
A triangle has vertices A (a,b) , B (c,d) and C (e,f). Prove two things - algebra only - that the line segment connecting the midpoint of two sides of the triangle is parallel to the third side,
and the line segment is also equal ... | 4 | [
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Lorentz contraction of box filled with gas
kev
The pressure inside the box does not increase. I will try and explain why. Pressure is defined as force divided by area. Force is defined as m*a = m*dv/dt = dp/dt where dp is change in momentum. If
we have a box with n particles, each of mass m, conveniently bouncing st... | 5 | [
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Explanation of a Proof about L^2
July 30th 2010, 05:09 PM #1
Member
Joined
Jun 2010
Posts
205
Thanks
1
Explanation of a Proof about L^2
Reading through Apostol's analysis text on $L^{2}(I)$ spaces, he claims that the inequality $|(f, g)| \leq ||f|| \cdot ||g||$ follows immediately from $\displaystyle... | 5 | [
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Patent US5999164 - Image data converter
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an image data converter which converts YUV-format image data into RGB-format image data.
2. Related Art
Conventionally, in a case where an image is displayed on a CRT (Cathode Ray Tube), YU... | 4 | [
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0.0393066406... | 19,993 | 19993 | |
Finding point on sphere furthest from point in space
September 7th 2010, 12:19 PM
SyNtHeSiS
Finding point on sphere furthest from point in space
Find the point on the sphere $(x - 2)^2 + (y - 2)^2 + (z-7)^2 = 99$ which is furthest from the point C(1,3,4).
Now I know that you suppose to find an equation of a... | 5 | [
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A pendulum question
April 25th 2013, 05:32 AM #1
Newbie
Joined
Nov 2012
From
Britain
Posts
9
A pendulum question
Hello I have included pictures of the question I would like some help with and also the solution I have been given. I am fine up until part c. However I really do not understand h... | 4 | [
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... | 19,995 | 19995 | |
Without using L'Hospital's Rule
$\displaystyle \lim_{x\to 0} \dfrac{ 2^{arctan(x)} - 2^{arcsin(x)} } { 2^{tan(x)} - 2^{sin(x)} }$
Let me try. First let me write $\frac{2^{\tan^{-1}x} - 2^{\sin^{-1}x} }{2^{\tan x} - 2^{\sin x} }$$\displaystyle = \frac{ \frac{2^{\tan^{-1}x} - 1}{\tan^{-1}x} \cdot \frac{\tan^{-1}x}{x} - ... | 5 | [
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leaky faucet
September 5th 2005, 02:43 PM
kamran5461
leaky faucet
i have the followin question and i am not sure how to solve it :
The table of data below was produced by students who did the leaking-faucet experiment. The measuring container they used held only 100 milliliters. If the students had continued... | 4 | [
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0... | 19,997 | 19997 | |
Uniform Continuous and Uniform Convergence
October 28th 2007, 02:28 PM #1
Member
Joined
Jan 2007
Posts
114
Uniform Continuous and Uniform Convergence
24.13 Prove that if (fn) is a sequence of uniformly continuous functions on an interval (a,b), and if fn -> f uniformly on (a,b), the f is also uniformly c... | 4 | [
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Patent US20090077453 - Technique for reducing parity bit-widths for check bit and syndrome generation for data blocks through the use of additional check bits to increase the number of minimum weighted codes in the hamming code h-matrix
BACKGROUND OF THE INVENTION
The present invention relates, in general, to the fiel... | 4 | [
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... | 19,999 | 19999 |