content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Math Help
April 8th 2006, 07:41 PM #1
Newbie
Joined
Mar 2006
Posts
17
Derivative
I just don't get it. Please help
Using the short cut rule find the derivative of the following functions then simplify results. Please explain how you got it
m(x)=4x^3-15x^2+x-7
h(x)=(3x^2+7)(x^3-x)
g(x)... | 4 | [
-0.0194091796875,
0.044189453125,
0.05810546875,
-0.0250244140625,
0.0220947265625,
0.00238037109375,
-0.0020599365234375,
0.0191650390625,
-0.01165771484375,
0.0888671875,
0.08837890625,
-0.06103515625,
0.0703125,
-0.047119140625,
-0.05810546875,
0.049560546875,
-0.01708984375,
0.... | 23,400 | 23400 | |
Area under a curve
July 22nd 2010, 06:17 AM #1
Newbie
Joined
Jul 2010
From
Qatar
Posts
15
Area under a curve
Hello all!
Using (3/x-2) - (2/x-1) calculate the area enclosed between the curve
y= (x+1)/(x-2)(x-1) and the x axis, between x = 3 and x = 5
I would like to confirm whether the w... | 5 | [
-0.043701171875,
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0.0225830078125,
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0.00823974609375,
0.048583984375,
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0.01214599609375,
0.013916015625,
-0.0018157958984375,
-0.009521484375,
-0.0076293945312... | 23,401 | 23401 | |
Classification in likelihood spaces - Patent # 7305132 - PatentGenius
Classification in likelihood spaces
7305132 Classification in likelihood spaces
Patent
Drawings:
... | 4 | [
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0.0028076171875,
-0.... | 23,402 | 23402 | |
Strength and Direction of Electric Field
1. The problem statement, all variables and given/known data
What are the strength and direction of the electric field at the position indicated by the dot in the figure? Answer in component form.
2. Relevant equations
E=kQ/r^2
3. The attempt at a solution
E(+5) = (8.99E9)(... | 4 | [
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0.00224304... | 23,403 | 23403 | |
Approximation of function
April 3rd 2009, 08:46 PM
h2osprey
Approximation of function
An inner product <f,g> is defined as the integral from -1 to 1 of f(x)g(x).
Given an orthonormal basis for the set of polynomials of degree less than or equal to 2, i.e.,
w1 = (rt 2)/2,
w2 = (rt 6)/2,
w3 = [(x... | 5 | [
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0.0524902... | 23,404 | 23404 | |
convergence in probability iff expectation...
Suppose $Y_{n}\ge 0$. Show $Y_{n}\rightarrow 0$ in probability iff $E(\frac{Y_{n}}{1+Y_{n}})\rightarrow 0$. Any tips would be much appreciated.
What have you done so far? Some basic hints, Markov's inequality will be useful and also splitting the expectation.
I was trying... | 5 | [
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0.044921875,
0.0128784179687... | 23,405 | 23405 | |
Tensor Product of Modules
December 9th 2011, 05:47 AM #1
Tensor Product of Modules
Hello all, I was wondering if I could get some help proving the following statement:
$\mathbb{Z} / 8 \otimes_{\mathbb{Z}} \mathbb{Z}_{\langle 2 \rangle} = \mathbb{Z} / 8$
where $\mathbb{Z}_{\langle 2 \rangle}$ is the inte... | 5 | [
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-0.03173828125,
0.09765625,
0.01123046875,
0.0164... | 23,406 | 23406 | |
Help on a function type question
October 8th 2012, 04:56 PM
UWM120
Help on a function type question
Juliet and Mercutio are moving at constant speeds in the xy-plane. They start moving at the same time. Juliet starts at the point (0, −6)
and heads in a straight line toward the point (10, 5), reaching it in 1... | 5 | [
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0.0478515625,
-0.056396484375,
-0.03613... | 23,407 | 23407 | |
Find the second derivative of
September 21st 2009, 07:22 PM #1
Senior Member
Joined
Apr 2009
Posts
253
Find the second derivative of
$y=\frac{\sqrt{1-x^2}}{x}$
This is what I get so far:
$y'=\frac{-x-\sqrt{1-x^2}}{x^2\sqrt{1-x^2}}$
y''= I'm working on it but I'm kinda confused.
Is y' c... | 5 | [
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0.029541015625,
0.02954101... | 23,408 | 23408 | |
story problem..
April 5th 2010, 04:45 PM #1
Member
Joined
Nov 2005
Posts
172
story problem..
assume that the galaxy is a group of 400 billion stars distributed along a cubic lattice, each star separated from it's nearest by about 5LightYear. If 100 currently signaling civilization are
randomly distri... | 4 | [
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0.00543212890... | 23,409 | 23409 | |
Cauchy Sequence proof
March 31st 2013, 04:39 PM #1
Newbie
Joined
Oct 2012
From
Seoul
Posts
16
Cauchy Sequence proof
I don't understand a part of this proof.
A Cauchy Sequence is bounded.
pf) Let ${a_n}$ be a cauchy sequence
then there is N $\in N$ such that Absolute value ( $a_n - a_m)... | 4 | [
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0.03222... | 23,410 | 23410 | |
Coordinates of a point which is intersected by 2 lines o.0
September 22nd 2009, 11:28 AM
Viral
Coordinates of a point which is intersected by 2 lines o.0
This, I think is pre-algebra, not pre-calculus...
The line V passes through the points (-5,3) and (7,-3) and the line W passes through the points (2,-4) a... | 4 | [
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A brief vector question
March 1st 2009, 12:23 AM
JeWiSh
A brief vector question
This vector question has three parts, and I've done the first two, finding the point of intersection and acute angle between them. It's the third bit I don't understand.
L1 = 2i-j+3k + s(j-k)
L2 = -2i+7j+3k + t(2i-3j-k)
... | 5 | [
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-0.07617... | 23,412 | 23412 | |
Bending moment
March 14th 2009, 08:36 AM #1
Junior Member
Joined
Sep 2008
Posts
29
Bending moment
Hello .the question is ,The bending moment,M.at a position x m from the end of a simply supported beam of lenght l m carrying a uniformly distrbuted load
of wkNm-1 is given by
M= w/2 l (l -x)-w/2 (l-... | 5 | [
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0.0102539062... | 23,413 | 23413 | |
Tricky limit without using l'Hopital's rule
December 14th 2010, 02:40 PM #1
Newbie
Joined
Dec 2010
Posts
5
Tricky limit without using l'Hopital's rule
It goes like this:
lim[x->infinity](1 + (x + 1)/(4x^2 + 4x + 4))^(4x+1).
The solution is e, that I got with Mathematica and by myself, using a fe... | 5 | [
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0.0277099609375,
0.007568359375,
-... | 23,414 | 23414 | |
please help with this
July 10th 2007, 12:27 PM #1
Newbie
Joined
Jul 2007
Posts
8
please help with this
Find the realand complex solutions to the equation X3(cubed) + 1=0
my choices
a. -1,1,cis(pi/3)
b. 1, cis(pi/3), cis (2pi/3)
c. -1, cis(pi/3), cis(5pi/3)
d. cis (pi/3), cis(2pi/3),... | 5 | [
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If gcd(a,b)=1, a|c and b|c, then ab|c
April 8th 2009, 10:49 PM #1
Newbie
Joined
Feb 2009
Posts
4
If gcd(a,b)=1, a|c and b|c, then ab|c
Suppose that gcd(a,b)=1, a|c and b|c. Prove that ab|c.
I've already got this part:
If gcd(a,b)=1 then there are integers r,s such that ra + sb = 1.
If a|n an... | 4 | [
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Algorithms using Derivatives
This is a modified version of Powell’s Hybrid method as implemented in the HYBRJ algorithm in MINPACK. Minpack was written by Jorge J. Moré, Burton S. Garbow and Kenneth E. Hillstrom. The Hybrid
algorithm retains the fast convergence of Newton’s method but will also reduce the resi... | 4 | [
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0.05615234375,... | 23,417 | 23417 | |
Central Configurations for Newtonian
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 272791, 5 pages
http://dx.doi.org/10.1155/2013/272791
Research Article
Central Configurations for Newtonian -Body Problems
^1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
^2Department of... | 5 | [
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Matrices went in 2x2
August 21st 2010, 06:52 AM #1
Member
Joined
Mar 2009
Posts
91
Matrices went in 2x2
Another challenge problem, inspired by an earlier question.
Given arbitrary 2x2 matrices $A$ and $B$, prove that
$AB+BA=\beta A+\alpha B+(\gamma-\alpha\beta)I$
where $\alpha$ is the trac... | 5 | [
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0.11... | 23,419 | 23419 | |
Basic Trig (r-sin) help!
September 4th 2010, 02:34 AM #1
Newbie
Joined
Sep 2010
Posts
2
Basic Trig (r-sin) help!
Hey guys,
Sorry I couldn't have a more direct title. There isn't really a name for this exact topic, but anyway, this is a rule we learnt:
asinθ + bcosθ = r sin (θ + λ)
where r ... | 4 | [
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... | 23,420 | 23420 | |
Transcendental Theory, Slope of a line, and how Pi+e and -(e/Pi) is transcendental
April 1st 2012, 08:01 AM #1
Newbie
Joined
Mar 2012
From
Tn
Posts
5
Transcendental Theory, Slope of a line, and how Pi+e and -(e/Pi) is transcendental
First post, I need a place for ideas to be reviewed in some way and ... | 5 | [
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-0.00564575... | 23,421 | 23421 | |
Normal Distribution
April 22nd 2006, 07:05 PM #1
Junior Member
Joined
Apr 2006
Posts
39
Normal Distribution
Hope some one can help me with this
Let X1,X2 .... X16 be a random sample from a normal distribution N(77,25).
Compute a)P(77<X<79.5)
b) P(74.2<X<78.4)
Cheers
Let X1,X2 ..... | 5 | [
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0... | 23,422 | 23422 | |
Patent US7003894 - Surface profile measurement, independent of relative motions
This application claims priority from U.S. Provisional Application 60/454,603 entitled “Surface Profile Measurement, Independent of Relative Motions” filed Mar. 17, 2003.
TECHNICAL FIELD
This invention relates to a method and apparatus th... | 4 | [
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Improper Integrals
February 12th 2011, 12:27 PM
electricalphysics
Improper Integrals
Hello
I'm having difficulty with part (ii) of the first link.
I used the result from part (i) and was able to get g(Tb)-g(Ta)- integral from Ta to Tb of g(x)/x dx...
I noticed that the g(Ta)-g(Tb) terms cancel and... | 5 | [
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A finite subset of a metric space
Show that a finite subset of a metric space has no limit points and is therefore a closed set.
A subset of a metric space is closed if and only if it contains its limit points. To be a limit point any neighborhood needs to contains infinitely many points within the set. Thus, a finite... | 5 | [
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... | 23,425 | 23425 | |
Ring Homomorphism
October 31st 2008, 04:31 AM #1
Ring Homomorphism
Can you help me. Here is my work.
(a) Prove that there is no ring homomorphism Z/5Z → Z.
(b) Prove that there is no ring homomorphism Z/5Z→ Z/7Z.
(a) Axiom of ring homomorphism are
f(1) = 1
f(a+b) = f(a) + f(b)
f(ab) = f(a)... | 5 | [
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... | 23,426 | 23426 | |
anybody with any idea please help!!!
October 31st 2007, 09:08 PM #1
Newbie
Joined
Oct 2007
Posts
9
i have 3 questions if anyone can help it would be greatly appreciated.
1) Have to use de Moivre's theorem to calculate
(1+√3i)3 / (1-i) 4
Expressing the answer in z=a+bi form.
I have found ... | 5 | [
-0.1171875,
0.033935546875,
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Trigonometry - modelling and problem solving
May 12th 2013, 08:34 PM
elmidge
Trigonometry - modelling and problem solving
I am having trouble finding the length of a sloping edge in the following problem:
A right pyramid, ht 6 cm stands on a square base of side 5cm. Find the legth of a sloping edge and the ... | 4 | [
-0.0250244140625,
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0.0238037109375,
-0.04467773437... | 23,428 | 23428 | |
Induction on n square roots
April 16th 2011, 12:27 PM #1
Junior Member
Joined
Feb 2009
From
London
Posts
39
Thanks
1
Induction on n square roots
Hey,
I posted this before and didn't get any replies, so I'm posting again in case anyone can help. I've going round the houses with this problem a... | 5 | [
-0.07421875,
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0.068... | 23,429 | 23429 | |
Patent US7310425 - Multi-channel frequency-domain adaptive filter method and apparatus
FIELD OF THE INVENTION
The present invention pertains to adaptive filtering in multi-channel environments. More particularly, the invention has specific application to multi-channel acoustic echo cancellation such as in
stereophonic... | 4 | [
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nice inequality
Abualabed since x^2=|x|^2 if you substitute |x| with another variable like t you will get the qubic inequality t^3-2t^2-4t+3<0 Consider the qubic equation t^3-2t^2-4t+3 =0 and verify that t=3 is a
solution . thus factorize the qubic polynomial using Horner's scheme or full division by (t-3) and find t^3... | 4 | [
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Is the image of an open set of a linear transformation still open in its image?
October 26th 2009, 04:46 PM
zzzhhh
Is the image of an open set of a linear transformation still open in its image?
I met with this problem when reading a proof of rank theorem in Rudin's "Principles of mathematical analysis", P230, a... | 4 | [
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[FDTD/FORTRAN] problem with tfsf boundary and berenger's pml
hi all...
I have written codes for 2d fdtd tfsf with berenger's pml absorbing boundary. But I have serious leakage at front and right boundary. At the first place I think the problem is because the pml, but
pml is working perfectly in the left and bottom bou... | 4 | [
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Integers
how many integers between 1500 and 8000 (inclusive) contain no repeated digits?
If we fix first 2 digits we'll get exactly 7*8 numbers with this proprty. So the number of non-repeaters between 1500 and 8000 is equal to the number of non-repeaters between 15 and 80 multiplied by
56. So: 56(5+9+9+9+9+9+9)=56.59... | 4 | [
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-0.01513... | 23,434 | 23434 | |
Binomial Theorem problem!
January 19th 2010, 09:57 AM #1
Member
Joined
Sep 2009
Posts
83
Binomial Theorem problem!
Hey,
Doing homework, and came across this question. I cannot for the life of me figure out what I am doing wrong, but it doesn't match up to the answer at the back of the book. It does o... | 4 | [
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Functional Equation
December 24th 2008, 05:59 AM #1
Banned
Joined
Sep 2008
Posts
47
Functional Equation
Find all functions $f : \mathbb{R} - \left\{ -\frac{1}{3}, \frac{1}{3} \right\} \rightarrow \mathbb{R}$ that satisfy the identity
$f \left(\frac{x+1}{1-3x} \right) = x-f(x)$
Consider the chan... | 5 | [
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Differential Equations
I am not sure how to do this problem. Can you help? Solve (t^2 + 1)dy/dx = yt-y.
We are asked to find the value of $y$ in $(t^2+1)\frac{dy}{dt}=y(t-1)$. Like TPH said, this is a separable differential equation so $<br /> \frac{dy}{y} = \frac{t-1}{t^2+1}dt \Longleftrightarrow \int
\frac{dy}{y} = ... | 5 | [
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Rationalize the denominator and simplify - help
March 14th 2010, 07:02 PM #1
Newbie
Joined
Feb 2010
From
Wilkes Barre, PA
Posts
15
Rationalize the denominator and simplify - help
√(81/40)
√81/√40=9/√40
In order to rationalize the denominator, I begin by factoring the denominator 40.
40 =... | 4 | [
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search results
Expand all Collapse all Results 1 - 25 of 64
1. CJM Online first
On the Dispersive Estimate for the Dirichlet Schrödinger Propagator and Applications to Energy Critical NLS
We consider the obstacle problem for the Schrödinger evolution in the exterior of the unit ball with Dirichlet boundary... | 4 | [
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Trying to figure this out?
December 4th 2010, 11:07 AM
bradycat
Trying to figure this out?
We were given 1 example to do math questions. But I don't get how I got the answer.
With with Log and Ln, but in this one it's Ln.
2.6=1.4e^(0.3t)
I have to solve for t.
So you have to divide both sides by... | 4 | [
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Float
String To Floating Point Number Conversion
atof(), strtod() – how they work, and how you can write your own, better ones
1. Introduction
For most C/C++ programmers converting strings to floats is a trivial task. They just call atof() or strtod() from the standard library and don't think about internals. In so... | 4 | [
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A nice problem for fun - Iranian math competition
December 4th 2009, 03:13 PM #1
A nice problem for fun - Iranian math competition
For a subset $S \subset \mathbb{N}$, let $S+S=\{s_1+s_2 : s_1,s_2 \in S\}$. Show that there is a unique partition $A,B$ of $\mathbb{N}$ such that $A+A$ and $B+B$ contain no odd prime.... | 4 | [
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... | 23,442 | 23442 | |
Write as whole square
October 6th 2010, 12:15 PM #1
Member
Joined
Apr 2009
From
Jerusalem - Israel
Posts
108
Write as whole square
Can you please write equation
$n(n+1)(n+2)(n+3)+1$
as whole square
like writing ${x}^2+4x+4=(x+2)(x+2) = {(x+2)}^{2}$
My Try:
$n(n+1)(n+2)(n+3)+1={n... | 4 | [
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Patent US7167529 - Method and device for radio signal reception
BACKGROUND OF THE INVENTION
The present invention relates to digital radio communication techniques using Code Division Multiple Access (CDMA).
It is more especially aimed at multi-user detection procedures which are sometimes employed in these technique... | 4 | [
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Patent US20030229843 - Forward error correction apparatus and method in a high-speed data transmission system
PRIORITY
[0001] This application claims priority under 35 U.S.C. § 119 to an application entitled “Forward Error Correction Apparatus and Method in a High-Speed Data Transmission System” filed in the Korean
In... | 4 | [
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Patent US6229477 - Method and system for determining a position of a communication satellite utilizing two-way ranging
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is related to U.S. patent application Ser. No. 08/803,935, filed Feb. 21, 1997, entitled “Method And System For Determining A Position Of A Tra... | 4 | [
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... | 23,446 | 23446 | |
Math Logic Finding the Weakest Precondition Calculus?
February 17th 2010, 07:26 AM #1
Newbie
Joined
Feb 2010
Posts
17
Math Logic Finding the Weakest Precondition Calculus?
All 4 parts to this question concern the assertion P = {x=2^K & N>K}
and one of 4 different assignment statements. You are ... | 5 | [
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Boys and Girls Revisited
up vote 18 down vote favorite
3
Consider a country with $n$ families, each of which continues having children until they have a boy and then stop. In the end, there are $G$ girls and $B=n$ boys.
Douglas Zare's highly upvoted answer to this question computes the expected fraction of girls in a... | 5 | [
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Find a three-digit number N = abc
April 26th 2010, 08:25 AM #1
Newbie
Joined
Oct 2009
Posts
24
Find a three-digit number N = abc
Find a three-digit number N = abc satisfying the
following conditions:
(i) the digits a, b, c are distinct;
(ii) N is equal to the sum of all two-digit numbers form... | 4 | [
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... | 23,449 | 23449 | |
Log derivatives
Differenciate 1. F(x)= 5th root(lnx) 2. f(x)= sqroot(x) * ln(x) 3. F(t)= ln((2t+1)^3)/(3t-1)^4)) thanks for any help!
Hello, Dr. Noobles! $1)\;f(x)\:= \:\sqrt[5]{\ln x}$ We have: . $f(x)\;=\;\left(\ln x\right)^{\frac{1}{5}}$ Chain Rule: . $f'(x)\;=\;\frac{1}{5}\left(\ln x\right)^{-\frac{4}{5}}\cdot\fra... | 5 | [
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Power Sets Proof
September 20th 2007, 11:27 AM #1
Junior Member
Joined
Nov 2006
Posts
59
Power Sets Proof
Prove the following:
Let $A$ and $B$ be sets. Then $A \subseteq B$ iff $\mathcal {P}(A) \subseteq \mathcal{P}(B)$.
Here is what I am thinking, but I'm pretty sure there is some serious prob... | 4 | [
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Brevet US5920484 - Method for generating a reduced order model of an electronic circuit
Numéro de publication US5920484 A
Type de publication Octroi
Numéro de demande US 08/753,835
Date de publication 6 juil. 1999
Date de dépôt 2 déc. 1996
Date de priorité ... | 4 | [
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Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 184071, 11 pages
http://dx.doi.org/10.1155/2014/184071
Research Article
Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Clas... | 4 | [
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Circuit Theory/Phasors/Examples/Example 8
From Wikibooks, open books for an open world
Given that the current source is defined by $I_s(t) = 120 \sqrt{2} cos(377t+120^\circ)$, find all other voltages, currents and check power.
Label Loops Junctions[edit]
The important point is that nothing changes even though the so... | 5 | [
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0.04394... | 23,454 | 23454 | |
Patent US5237329 - Method of correcting range migration in image generation in synthetic aperture radar
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention relates to a method of correcting range migration (RM) in image generation in synthetic aperture radar.
2. Description of the Prior Art
Syntheti... | 4 | [
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question regarding derivatives of inverse functions
March 22nd 2007, 06:21 AM
sandra17
question regarding derivatives of inverse functions
please show all steps for the following problem
Find (f^-1)^' (7) for the function f(x) = x^3 - (x/2), x > 0
any help would be appreciated
March 22nd 2007, 06:43 A... | 5 | [
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A Method to Analyze the Effectiveness of the Holes Healing Scheme in Wireless Sensor Network
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 725452, 10 pages
http://dx.doi.org/10.1155/2013/725452
Research Article
A Method to Analyze the Effectiveness of the Holes Healing Scheme in ... | 4 | [
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Patent US5040140 - Single SLM joint transform correaltors
STATEMENT OF GOVERNMENT INTEREST
The invention described herein may be manufactured and used by or for the Government for governmental purposes without the payment of any royalty thereon.
BACKGROUND OF THE INVENTION
The present invention relates to the field ... | 4 | [
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Rotation matrix
September 15th 2009, 08:36 PM #1
Member
Joined
Oct 2008
Posts
124
Rotation matrix
Find the rotation matrix that C that transforms the matrix
|0| into |3|
|5| |4|
(the first matrix is 0 5 and the second has 3 4, each vertical)
Last edited by noles2188; September 15th 2009... | 4 | [
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Equation of a line that passes through a point.
1. The problem statement, all variables and given/known data
Find the equation of the line that passes through A(1,-4, 2) and is parallel to the intersection line of the two planes x - 2y + 3z - 1 = 0 and x - 4y+ 2z - 8 = 0
2. Relevant equations
N/A
3. The attempt at ... | 4 | [
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Optimization: A Wire is to be cut into Two Pieces.
March 27th 2010, 02:03 PM #1
Optimization: A Wire is to be cut into Two Pieces.
Hi
This question is giving me so much trouble, I mean i do not know how to start it!?
A wire 70 inches long is to be cut into two pieces. One of the pieces will be bent into... | 5 | [
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trig identities
thats not what i am talking about, i am talking about proofs. like proof that RS=LS by simplifying it
what did you multiply by 1-cosx? y can't u use 1-sinx or anything else??? thats what confused me :S
when you multiply by 1-sin(x) you don't get anything pretty.by multiplying by 1-cos(x) you get 1-cos... | 4 | [
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uniformly continuous function
March 3rd 2009, 01:38 PM #1
Junior Member
Joined
Mar 2009
Posts
29
uniformly continuous function
Let $a>1$ and let $f: (1,2] \rightarrow \mathbb{R}$ be defined by $f(x)=\frac{x}{x-1}$. Prove that $f$ is uniformly continuous on the interval $[a,2]$, but $f$ is not uniformly c... | 5 | [
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Functions and limits?
If $2f(\sin x) + \sqrt{2}f(\cos x) = \tan x$ then evaluate : $\lim_{x\rightarrow 1} \sqrt{(1 - x)}f(x)$
Rewrite the condition as: $2f(a)+\sqrt2f(b)=\frac ab$ and $2f(b)+\sqrt2f(a)=\frac ba$ for all $a^2+b^2=1$. Using a 2x2 matrix to solve, we get $f(a)=\frac ab-\frac{\sqrt2}2\frac ba$ and $f(b)=\... | 5 | [
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Not making sense...probability
October 13th 2008, 08:05 AM
Evergreen
Not making sense...probability
30% of calls to an airline reservation phone line result in a reservation being made.
a. Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls results in a reservaion?
... | 4 | [
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Brevet US20040239558 - Aiding location determinations in satellite positioning system receivers
FIELD OF THE DISCLOSURE
[0001] The present disclosure relates generally to locating wireless receivers, and more particularly to constraining satellite positioning system based location determinations using uncertainty
info... | 4 | [
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Number Theory: Calculating mod large number
actually, there is a generalized totient function call the Carmichael Function:
http://mathworld.wolfram.com/CarmichaelFunction.html
basically [tex]\lambda (340)=LCM(\lambda (11), \lambda (31))=30[/tex]
so that,
[tex]3^{30}\equiv 1 \mod{341}[/tex]
which easily gives,
[t... | 5 | [
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Question regarding circumcentre?
July 29th 2008, 05:53 AM
fardeen_gen
Question regarding circumcentre?
Let f, g, h be the lengths of the perpendiculars from the circumcentre of the triangle ABC on the sides a,b and c respectively. If (a/f) + (b/g) + (c/h) = k.(abc)/(fgh), then the value of k is:
A)1/4
B... | 4 | [
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Bearing Vibration by Forced Rotation
While a bearing performs by rotation, this rotation generates vibration as well.
Vibration is affected by RPM, and its frequency, is called "Vibration by forced rotation"
Calculation of vibration by forced rotation in a ball bearing
In a ball bearing vibration is generated in axi... | 5 | [
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Beyond e^x
Prerequisites: The derivative of e^x and the chain rule.
Goal: One can find the derivative of f(x)=e^x by using the definition to write
and then use the calculator to guess that f at zero.
In this laboratory we ... | 4 | [
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Algebraic Varieties and Ideals
July 26th 2013, 06:15 PM #1
Algebraic Varieties and Ideals
In Chapter 1, Section 4 of Cox et al "Ideals, Varieties and Algorithms, Exercise 3(c) reads as follows:
Prove the following equality of ideals in $\mathbb{Q}[x,y]$:
$< 2x^2 + 3y^2 -11, x^2 - y^2 - 3> \ = \ <x^2 - 4... | 5 | [
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Rotating Square Loop in Constant B-field
1. The problem statement, all variables and given/known data
A square loop (length along one side = 20 cm) rotates in a constant magnetic field which has a magnitude of 2.0 T. At an instant when the angle between the field and the normal to the plane of the
loop is equal to 20°... | 4 | [
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0.... | 23,472 | 23472 | |
Math Help
October 27th 2009, 02:29 PM #1
field
1. Prove that $R = \{a+bi: a,b \in \mathbb{Z} \}$ is a subring of $\mathbb{C}$ and that $M = \{a+bi: 3|a \ \text{and} \ 3|b \}$ is a maximal ideal in $R$.
Showing it's a subring is obvious. Just show closure under addition and multiplication and that $0_{\math... | 5 | [
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monotonic decreasing
$\sum_{K=1}^{INFINITY}\frac{k^{2}}{e^{k^{3}}}$ the dividing of a_n+1 /a_n is not conlusive ?
i can show a_n+1 -a_n <0 or a_n+1 /a_n=q and show that q<1 both i have written but i dont know how to conclude from the expression
Now, you have me confused! $a_{n+1}- a_n< 0$ is the same as $a_{n+1}< a_n... | 5 | [
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0.02233886718... | 23,474 | 23474 | |
Congruences: stumped by minus sign
May 2nd 2009, 10:21 AM #1
Newbie
Joined
May 2009
Posts
8
Congruences: stumped by minus sign
This is my first post. I am practicing simple congruence theory to solve divisibility problems.
For example, to show $13\mid3^{n+2}+4^{2n+1}$:
$3^n3^2+(4^2)^n4 \bmod 13 ... | 5 | [
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Introduction: The Chi-square Analysis
Introduction: The Chi-square Analysis
In general the chi-square analysis is used when there is a need to examine the similarities between two or more populations or variables on some characteristics of interest. (other statistical test
do pairwise comparison, but the chi-square c... | 4 | [
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Hard probability question
July 21st 2012, 07:13 PM
smalltalk
Hard probability question
"A dice it thrown until the sum of the outcomes is greater than 300. Find, approximately, the probability that at least 80 experiments are required."
I have the suspicion that if
X = number of throws required until su... | 4 | [
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Help Solving the Limit of this equation (third root)
October 4th 2011, 03:38 PM
rhek
Help Solving the Limit of this equation (third root)
Find the solution for: [(1+cx)^1/3 - 1]/x as x approaches 0.
Hello, I've been trying to solve this problem for a little over a month without much progress.. (Doh)
Lo... | 5 | [
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solve equation - My Math Forum
November 18th, 2011, #4
09:35 PM
Global Moderator Thanks. I've corrected my previous post. Now for a bette... | 4 | [
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Passive Microwave Component Design Using Inverse Scattering: Theory and Applications
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 761278, 10 pages
http://dx.doi.org/10.1155/2013/761278
Review Article
Passive Microwave Component Design Using Inverse Scattering: Theory and Applicatio... | 4 | [
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-0.0211181640625... | 23,480 | 23480 | |
Is this true?
February 8th 2011, 03:11 PM
Googl
Is this true?
Hi, I am revising on Trig at the moment.
Would you say;
R sin (x+36.9) = R cos (x-53.1)
I have just transformed these equations from 3 cos x - 4 sin x using the alpha method.
February 8th 2011, 03:17 PM
dwsmith
Quote:
Huh?
... | 4 | [
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Taylor's polynomial, proof for existence and uniqueness
July 18th 2008, 09:00 AM
arbolis
Taylor's polynomial, proof for existence and uniqueness
Unfortunately I'm not talking about Taylor's theorem, but Taylor's polynomial. The problem stated is : Let $f$ be a function that can be derived at least $n$ times in $... | 4 | [
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Simultaneous equations
January 7th 2010, 05:29 PM #1
Junior Member
Joined
Feb 2009
Posts
59
Simultaneous equations
Find the value of m for which the simultaneous equations
(m + 3)x + my = 12
(m + 1)x + (m - 3)y = 7
have no solution.
I am insure what to do here! Do I need to set them up i... | 4 | [
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0.0390625,
0.04809570... | 23,483 | 23483 | |
linear algebra Gram-Schmidt in Function Spaces problem
August 17th 2010, 11:27 AM #16
For the first-order derivative, you won't actually need the product rule - just the chain rule. But for the second derivative on up, you will need the product rule and the chain rule, and the sum
rule, etc. So no, you don't t... | 5 | [
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Proving limit
February 16th 2011, 09:42 PM #1
Proving limit
Show that if $lim(\frac{a_{n}}{n}) = L$ for $L>0$, then $lim(a_{n}) = + \infty$
Here's what I did:
$lim(\frac{a_{n}}{n}) = \frac{lim(a_{n})}{lim(n)} = L$
Then $\\ lim(a_{n}) = L \cdot lim(n)$
And since $\\ lim(n)$ goes to $+\infty$ an... | 5 | [
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0.008544... | 23,485 | 23485 | |
Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 825715, 11 pages
http://dx.doi.org/10.1155/2014/825715
Research Article
Robust Stability of Neutral System with Mixed Time-Vary... | 5 | [
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0.02... | 23,486 | 23486 | |
What does a delta symbol mean in mathematics?
in this context, [itex]\delta[/itex] just means a small positive number. [itex]\delta[/itex] is used to connect with the "epsilon-delta" notation used in the definition of continuity (or more
generally any limit).
the whole point of the theorem, is the essential nature of ... | 4 | [
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... | 23,487 | 23487 | |
Covariance of two sample means
June 19th 2009, 04:39 PM #1
Junior Member
Joined
Feb 2009
Posts
42
Covariance of two sample means
Hello all!
I am looking to calculate VAR(xbar-ybar) where X and Y are not independent.
Want to try VAR(xbar) +VAR(ybar)+2COV(xbar,ybar).
I know VAR(xbar) = sigma... | 4 | [
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0.0078125,
-0.024... | 23,488 | 23488 | |
Extended Binomial Fractional Powers
November 4th 2011, 10:14 PM #1
Member
Joined
Jul 2011
Posts
196
Extended Binomial Fractional Powers
I'm trying to understand how the binomial theorem can be applied to expand polynomials to fractional powers. I can sought of piece it together without using the theorem,... | 5 | [
0.0238037109375,
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Expected value and variance of ARMA(1,1) model
April 25th 2011, 01:32 AM
downthesun01
Expected value and variance of ARMA(1,1) model
I guess the forum's having latex issues, so I'll try to write the model as best I can.
y_{t}= 50 + 0.8y_{t-1} + a_{t} - 0.2a_{t-1}
So, I've been pouring over notes trying... | 5 | [
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-0.... | 23,490 | 23490 | |
Velocity question
June 30th 2008, 01:39 AM #1
Newbie
Joined
Jun 2008
Posts
5
Hi!
Can any one explain how you calculate the meeting point of two objects traveling towards each other at constant velocities.
eg
Object A is moving at 348mph and B is moving at 168mph They are 1118miles apart. Where... | 4 | [
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... | 23,491 | 23491 | |
Ordered pair. need help in understanding.
May 5th 2009, 09:52 PM
chakravarthiponmudi
Ordered pair. need help in understanding.
Need help in understanding this theorem..
Theorem 2.1.1. Let <a, b> and <c, d> be ordered pairs. Then <a, b> = <c, d> if and only if a = c and b = d.
Remark. The expression “if ... | 4 | [
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[Haskell-beginners] Monads...
nanothief nanothief at gmail.com
Wed Jan 28 22:38:38 EST 2009
Cory Knapp wrote:
> Hello, so, I'm having a simple problem with monads: I have no idea how
> to actually use them. I understand the category theory (or, at least
> well enough to be able to explain "what is a monad"); I unde... | 5 | [
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... | 23,493 | 23493 | |
Patent US4757444 - Vector processor capable of performing iterative processing
BACKGROUND OF THE INVENTION
The present invention relates to a vector processor and, more particularly, to a vector processor for processing cyclic operation at a high speed.
Recent vector processors adopt the pipeline control method and d... | 4 | [
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... | 23,494 | 23494 | |
Physics Problem: stationary bead relative to a revolving wire
November 8th 2011, 12:37 PM #1
Junior Member
Joined
Nov 2011
Posts
31
Thanks
1
Physics Problem: stationary bead relative to a revolving wire
I have been working on this problem for hours. I have been working on it on Google Docs with anoth... | 5 | [
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0.0500488... | 23,495 | 23495 | |
proof by induction with inequalities
October 11th 2012, 04:33 AM #1
Newbie
Joined
Sep 2012
From
manchester
Posts
10
proof by induction with inequalities
question is prove by induction on m that m^3 <= 2^m for m=>10
thats supposed to be m cube less than or equal to 2 to the power n for m greater t... | 4 | [
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0.004608154296875,
0.041259765625,
0.0468... | 23,496 | 23496 | |
Equivalence relation
November 6th 2009, 11:50 AM #1
Member
Joined
Nov 2008
Posts
121
Equivalence relation
If I have a subset, how do I define an equivalence relation.
I understand it has to satisfy three properties:transitive, symmetric and reflexive, but I'm not sure how to give an explicit definiti... | 4 | [
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0.0791015625,
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0.029052734375,
0.09228515625,
-0.052490234375... | 23,497 | 23497 | |
Multiple-Model Cardinality Balanced Multitarget Multi-Bernoulli Filter for Tracking Maneuvering Targets
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 727430, 16 pages
http://dx.doi.org/10.1155/2013/727430
Research Article
Multiple-Model Cardinality Balanced Multitarget Multi-Bernoulli Filter for Track... | 4 | [
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0.0517578125,
-0... | 23,498 | 23498 | |
Ugh....need Big Help!
July 27th 2005, 10:18 PM
Beth101
Ugh....need Big Help!
Hi,
I need help with a word problem: One pipe can fill a hot tub in 9 minutes, while a second pipe can fill it in 15 minutes. If the tub is empty, how long will it take both pipes together to fill
the hot tub?
I have sever... | 5 | [
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