content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
A Branch and Bound Approach to Solve the Preemptive Resource Leveling Problem
International Journal of Manufacturing Engineering
Volume 2013 (2013), Article ID 930920, 7 pages
http://dx.doi.org/10.1155/2013/930920
Research Article
A Branch and Bound Approach to Solve the Preemptive Resource Leveling Problem
Faculty ... | 4 | [
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solve a trigonometric equation
November 10th 2009, 03:38 PM
satis
solve a trigonometric equation
could I get some assistance solving this equation? I'm afraid I'm just not getting anywhere with it
$secx + cosx = -2$
using identities, I can turn that into
$\frac{1}{cosx} + cosx = -2$
and from ... | 4 | [
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Bijection
November 17th 2012, 02:47 PM
lovesmath
Bijection
Give an explicit example of a bijection from [0,1] to the set of real numbers.
I'm confused on how to do this one because it is a closed set.
November 17th 2012, 03:08 PM
MacstersUndead
Re: Bijection
Recall that a finite composition of bijec... | 5 | [
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trigonometry - modelling and problem solving
April 6th 2013, 09:37 PM
elmidge
trigonometry - modelling and problem solving
I can't visualise this problem at all!!
From a point due North of a tower, the angle of elevation to the top of the tower is 45 degrees. From point B, 100M ON A BEARING OF 120 DEGREES F... | 4 | [
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Finding half life given decay rate
April 25th 2012, 11:54 PM #1
Newbie
Joined
Apr 2012
From
United States
Posts
2
Finding half life given decay rate
Hey guys, I'm working on a problem right now and I'm having some trouble.
The decay of a certain chemical is 9.3% per year. Using the exponential de... | 5 | [
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Find an approimate equation...
March 7th 2008, 01:08 AM
mt_lapin
Find an approimate equation...
Find an approximate equation $y=ab^{x}$ of the exponential curve that contains the given pair of points. Round the value of b to two decimal places.
(0, 256) and (7, 23)
my work:
$256b^7=23$
$256^... | 4 | [
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Speeding Up MLE Code in R
Recently, I’ve been fitting some models from the behavioral economics literature to choice data. Most of these models amount to non-linear variants of logistic regression in which I want to infer the
parameters of a utility function. Because several of these models aren’t widely used, I’ve had... | 5 | [
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continuous function betweem two metric spaces
November 18th 2010, 02:53 AM #1
Junior Member
continuous function betweem two metric spaces
Hint:
Prove: $(f_n)\rightarrow f \Rightarrow (\Delta f_n)\rightarrow \Delta f$.
Regards.
Fernando Revilla
Another thing you could do is to prove that evalu... | 4 | [
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a "sets" question.
October 13th 2008, 03:42 PM #1
Newbie
Joined
Oct 2008
Posts
4
a "sets" question.
Hello to everyone!
Could someone say me the answer of the following set question?
A ∩ B ⊆ A ∪ B = Prove!
It needs a proving like the example below:
A ∩ B = {x|x€A and x€B}
Thanks,
... | 4 | [
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random var X's probability distribution
1. November 23rd 2008, 07:45 AM #1
2. November 23rd 2008, 09:46 AM #2
Find $\mu=E(X)$, $\sigma^2$ and then $\sigma$
Recall that:
$\mu=E(X)=\sum_{x} xP(x)$
$\sigma^2=E(X^2)-\left[E(X)\right]^2=\left[\sum_x xP(x) \right]-\mu^2$
$\si... | 4 | [
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Help with Unit Circle Problem
November 10th 2009, 09:33 AM #1
Newbie
Joined
Nov 2009
Posts
5
Help with Unit Circle Problem
My question reads
"Suppose t is the length of the arc on the unit circle whose initial point is (1,0), and terminal point is P (x,y). If t=3.5, sketch on the unit circle below t... | 4 | [
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--------------- cypherpunks-list #6929 (274 lines) ---------------
Date: Tue Nov 2 12:24:08 1993
From: an5877@anon.penet.fi (deadbeat) <an5877/daemon> Subject: Online Cash Checks
-----BEGIN PGP SIGNED MESSAGE-----
Online Cash Checks
David Chaum
Centre for Mathematics and Computer Science Kruislaan 413 1098SJ Amste... | 4 | [
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Algebra...Adding & Subtracting Fractions
April 30th 2007, 05:10 AM #1
Banned
Joined
Apr 2007
Posts
7
Algebra...Adding & Subtracting Fractions
Add or subtract as indicated.
1. b/b-1 + 2b/b^2 -1
2. a-1/a+1 + a+1/a-1
Please help me to understand how to find these answers. Thanks!
I presu... | 4 | [
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[SOLVED] Help sovling a simple equation
February 15th 2008, 04:19 PM
brenoink
[SOLVED] Help sovling a simple equation
sin(theta)(V2) - (V1)(d1) = (d2)cos(theta)
I need to solve this for theta.
I wasn't sure where to put this, so I put it here as it seems most general.
This isn't for a class (it's ... | 4 | [
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how to prove this series
limit( Sigma( sqrt(1/k),k goes from 1 to n), n goes to infinity)
What are you trying to prove? I see no propositions in your post. Are you trying to show divergence? We have $\sum_{k=1}^\infty\sqrt{\frac1k} = \sum_{k=1}^\infty\frac1{\sqrt{k}} = \sum_{k=1}^\infty k
^{-1/2}$ This is a p-series, ... | 5 | [
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the encyclopedic entry of coefficient of absorption
When the
temperature
of a substance changes, the energy that is stored in the
intermolecular bonds
between atoms changes. When the stored energy increases, so does the length of the molecular bonds. As a result, solids typically expand in response to heating and c... | 4 | [
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scipy.maxentropy.conditionalmodel
A conditional maximum-entropy (exponential-form) model p(x|w) on a discrete sample space.
This is useful for classification problems: given the context w, what is the probability of each class x?
The form of such a model is:
p(x | w) = exp(theta . f(w, x)) / Z(w; the... | 4 | [
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Integration Problem Has Me Stumped
July 4th 2010, 12:35 AM
Sucker Punch
Integration Problem Has Me Stumped
One question on my assignment has me stumped. I've tried a number of different methods, but every time, I either get stuck somewhere, or the equation quickly gets ridiculously out of hand. I'm
not sure ... | 5 | [
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the encyclopedic entry of new moon
This article is about the lunar phase; for other uses, see New Moon (disambiguation).
In astronomical terminology, the new moon is the lunar phase that occurs when the Moon, in its monthly orbital motion around Earth, lies between Earth and the Sun, and is therefore in conjunctio... | 4 | [
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The Old techInterview Forum - boys and girls
boys and girls
I feel the posted solution is wrong. The probaility of success, ie. probability of getting a boy, is p = 1/2. The probability of egtting a girl is q = 1/2.
Lets say X is the random variable tht represents the number of births before we get a baby boy.
The ex... | 4 | [
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Differentiation and Integration
Maitham Lets do the first derivative problem: Differentiate: $<br /> f(t)=\exp(\mu t + \sigma^2t^2/2)<br />$ Here we need the chain rule: $<br /> \frac{d}{dt}g(h(t))=\frac{dh}{dt}(t) \times \frac{dg}
{dt}(h(t)) <br />$, so put $h(t)=\mu t + \sigma^2t^2/2$ and $g(t)=exp(t)$. Then: $<br />... | 5 | [
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Testing a series for convergence or divergence
April 22nd 2010, 09:21 PM
CalculusCrazed
Testing a series for convergence or divergence
I am trying to test this series by the alternating series test:
$\sum\frac{\sin{n}\frac\pi2}{n!}$
n=1 to infinity
I don't really know how to find the limit or how ... | 5 | [
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efficiency help
March 1st 2010, 07:52 PM #1
efficiency help
Q) $Y_{1},Y_{2},...,Y_{n}$ is a random sample from a normal distribution with mean $\mu$ and variance $\sigma^{2}$. Two unbiased estimators of $\sigma^{2}$ are
$\hat{\sigma_{1}}^{2}=S^{2}=\frac{1}{n-1}\sum_{i=1}^{n}(Y_{i}-\bar{Y})^{2}$ and $\hat{\si... | 5 | [
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Reliability Analysis of Random Fuzzy Unrepairable Systems
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 625985, 15 pages
http://dx.doi.org/10.1155/2014/625985
Research Article
Reliability Analysis of Random Fuzzy Unrepairable Systems
^1Department of Computer Sciences, Tianjin University of S... | 5 | [
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Homework Help
Posted by Math (URGENT) on Sunday, May 2, 2010 at 5:21pm.
Write the following with rational, positive exponents.
a. sqrt of 8 = 8^1/2
b. seventh root of 5^2 = 5^2/7
c. sqrt sqrt 6 = ???
d. fourth root of sqrt of 5^3 = ???
Can someone please check my work and help with "c and d"? Thanks.
• Math (U... | 4 | [
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Equation of Circles
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Equation of Circles ┃
┃ Topic Index | Algebra2/Trig Index | Regents Exam Prep Center┃
┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
... | 4 | [
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Integrate this function
October 30th 2008, 03:01 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Integrate this function
Let $f: \mathbb {R} \rightarrow \mathbb {R}$ be defined by $f(x) = 1$ if $x= \frac {1}{n} \ \ \ n \in \mathbb {N}$, and $f(x) = 0$ otherwise.
Prove that $\int ^1 _0 f$ e... | 5 | [
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0.021240234375,
-0.0634765625,
-0.041748046875,
0.037109375,
-0.0537109375... | 33,626 | 33626 | |
Proof analysis
March 7th 2008, 01:07 PM #1
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Feb 2008
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19
Proof analysis
If {a_n} is a null sequence, and for each n, b_n is the arithmetic mean of the first n terms of {a_n}, then prove {b_n} is a null sequence.
$b_N=\frac{1}{N}~\sum_{n=1}^N a_n$
Put $M=\lfloor \sqrt{N} \rfloo... | 5 | [
-0.044189453125,
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0.109375,
-0.00677490234375,
0.... | 33,627 | 33627 | |
Calculating extreme values for a multivariable function
April 16th 2009, 09:15 PM #1
Newbie
Joined
Apr 2009
Posts
17
Calculating extreme values for a multivariable function
I'm supposed to find the absolute extreme values taken on by f on the set of D.
f (x, y) = 2x^2+y^2−4x−2y+2, D = {(x, y) : 0 ≤ ... | 5 | [
0.0966796875,
-0.0615234375,
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-0.07861328125,
0.034423828125,
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0.1064453125,
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0.0235595703125,
0.0201416015625,
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0.03271484375,
0.0419921875,
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0.0849609375,
-0.0179443359375,
-0.0830078125,... | 33,628 | 33628 | |
Normal Distribution: More Than
July 28th 2012, 12:46 AM #1
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Jul 2012
From
England
Posts
7
Normal Distribution: More Than
The ages of ships using a port is normally distributed with a mean age of 12 years and standard deviation of 5 years.
State the probability that a ship will be mor... | 4 | [
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Latin American applied research
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versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.35 n.2 Bahía Blanca abr./jun. 2005
Discrete event control of time-varying plants
E. Kofman^1
^1 Laboratorio de Sistemas Dinámicos. FCEIA - UNR - CONI... | 4 | [
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... | 33,630 | 33630 | |
Complex numbers problem
September 25th 2011, 09:41 AM
Jormirias
Complex numbers problem
Hello there, I'm having some trouble solving a problem. Would be really grateful if someone could lend a hand.
Prove the theorem: Given a,b,c,d belonging to Z, exist u,v belonging to Z so that (a^2+b^2)(c^2+d^2)=u^2+v^2
... | 4 | [
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Infimum
December 14th 2008, 09:13 PM
anlys
Infimum
Let D be a set of real numbers. Prove that if y is a lower bound of D and y also a limit point of D, then y = inf D.
Appreciate someone's help on this?
December 14th 2008, 09:28 PM
Mathstud28
Quote:
For $\xi$ to be a greatest lower bound of $E$ ... | 5 | [
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0.06884765625,
-0.0712890... | 33,632 | 33632 | |
fun with natural logs....
April 4th 2011, 10:31 AM #1
Senior Member
Joined
Aug 2009
Posts
349
fun with natural logs....
ok so we have the problem...
ln N - ln(N-2000)= t + C
so i tried to say that ln a = ln B = ln (a/B)
so i got ln(N/N-2000)= t + c
so then i raised both sides to e and... | 4 | [
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Homework Help
Posted by dina on Saturday, April 6, 2013 at 12:16pm.
How do I solve this problem? 3x-2/3x=4/3
• algebra - Ms. Sue, Saturday, April 6, 2013 at 12:22pm
3x-2/3x=4/3
7/3x = 4/3
x = (4/3) / (7/3)
x = (4/3) * (3/7)
x = 12/21 = 4/7
• algebra - dina, Saturday, April 6, 2013 at 2:5... | 4 | [
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Controllability of Second-Order Semilinear Impulsive Stochastic Neutral Functional Evolution Equations
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 748091, 13 pages
http://dx.doi.org/10.1155/2012/748091
Research Article
Controllability of Second-Order Semilinear Impulsive Stochastic Neutral Fun... | 5 | [
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-0.1166... | 33,635 | 33635 | |
Math Help
May 4th 2009, 07:23 PM #1
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Connectedness
1) Let (X, d) be a metric space and let A, B be two closed subsets of X such that the union and intersection of A and B are connected. Prove that A is connected.
2) Let (X, d) be a connected metric space and let A be... | 5 | [
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Homework Help
Posted by Anonymous on Monday, December 6, 2010 at 10:17am.
1.Write the expression as a sum or difference.
cos(5x)cos(-4x)
2.Write the expression as a product.
cos(4x)-cos(12x)
• Precalculus - MathMate, Monday, December 6, 2010 at 10:34am
1. use
cos(a)+cos(b)=2[cos((a+b)/2)cos((a-b)/2)]
... | 4 | [
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... | 33,637 | 33637 | |
Geometric Sequence
GEOMETRIC SEQUENCE
Definition of Geometric Sequence
Geometric sequence is a sequence in which each term after the first term a is obtained by multiplying the previous term by a constant r, called the common ratio. It is obvious that a ? 0 and r ? 0 or
1.
Example: 1, 2, 4, 8, 16, 32, . . . is a g... | 4 | [
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... | 33,638 | 33638 | |
Two proofs I've done...
April 10th 2010, 12:11 PM #1
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3
Two proofs I've done...
Hi guys I did two proofs for a logic class that I'm in. Could someone please check these to make sure I'm on the right track?
For all sets A and B, (A\B)U(AnB)=A.
Let x E A
if x E B, ... | 4 | [
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... | 33,639 | 33639 | |
Assessment of Algebraic Flame Surface Density Models in the Context of Large Eddy Simulation for Nonunity Lewis Number Flames in the Thin Reaction Zones Regime
Journal of Combustion
Volume 2012 (2012), Article ID 794671, 17 pages
http://dx.doi.org/10.1155/2012/794671
Research Article
A Priori Assessment of Algebraic... | 4 | [
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Assessing the Impact of Vaccination on Controlling the Spread of Human Scabies
ISRN Computational Biology
Volume 2013 (2013), Article ID 362973, 7 pages
http://dx.doi.org/10.1155/2013/362973
Research Article
Assessing the Impact of Vaccination on Controlling the Spread of Human Scabies
^1Department of Mathematics, U... | 4 | [
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Metric space question...
October 23rd 2009, 12:04 PM #1
Junior Member
Joined
Oct 2009
Posts
25
I am having difficulty approaching this question... any help would be greatly appreciated! Thank you!
Show that in a metric space the intersection of a compact set and a closed set is compact.
This sho... | 5 | [
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-0.1127... | 33,642 | 33642 | |
Excitation-contraction coupling model
Self-organised pacemaker
a k kT Gs Δt Δx D
delay Ymin Ymax it fps
This script uses explicit Euler scheme. It makes it time steps per frame. Full ring length is 1024×Δx. u is the red curve, v is the blue one, Ta is the green line, Ta[av] level is shown by the black
line. Use Alt- ... | 4 | [
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0.0042724609375,
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0.0751953125,
-0.02587890625,
-0.017822265625,
-... | 33,643 | 33643 | |
Consistent Price Systems in Multiasset Markets
International Journal of Stochastic Analysis
VolumeΒ 2012Β (2012), Article IDΒ 687376, 14 pages
http://dx.doi.org/10.1155/2012/687376
Research Article
Consistent Price Systems in Multiasset Markets
Department of Mathematical Sciences, Worcester Polytechnic Institute, Wo... | 4 | [
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0.007232666015... | 33,644 | 33644 | |
Logarithmic inequality
October 19th 2008, 05:51 AM #1
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Posts
11
Logarithmic inequality
$log _{ \frac{1}{3} } x> log _{x}3-2,5$
Most important for me is the result as I made this exercise and my result is different as given in the book.
Hello, achacy!
I have a somewhat... | 5 | [
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... | 33,645 | 33645 | |
Math: Differential Equations
Posted by Student on Tuesday, January 14, 2014 at 11:09pm.
I'm given y''= sin(x) with the initial conditions of y(0)=0 and y'(0)=2. I've already taken the integral two times to get an answer of y= -sin(x)+3x, however, I'm stuck as to how to make this
equation in terms of x=...
Please expl... | 5 | [
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-0.039794921875,
0.033935... | 33,646 | 33646 | |
Characterizing Convex Configurations of Quadrupels of Coplanar Points via Linear (In-)equalities between Distance Sums or Differences
up vote 4 down vote favorite
Given 4 points $A$, $B$, $C$ and $D$ in general position in the euclidean plane, is it possible to determine from the 6 distances $AB$, $BC$, $CD$, $AD$, $... | 5 | [
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0.00141... | 33,647 | 33647 | |
Homework Help
Posted by Thanh on Tuesday, May 10, 2011 at 10:32pm.
Cos(2theta)=-1/2
There are 6 solutions, how do i solve this?
• Trig - Reiny, Tuesday, May 10, 2011 at 10:49pm
cos (2Ø) = -1/2
we know cos 60° = + 1/2
and we know that 2Ø, our angle, must be in quadrants II or III by the CAST rule
s... | 4 | [
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... | 33,648 | 33648 | |
algebraic geometry
October 18th 2011, 09:16 AM #1
algebraic geometry
Hello,
Let $k$ be a field of characteristic 2. Then find the ideal of $X = V(t_1^2 + t_2^2 + t_3^2) \subseteq \mathbb{A}_k^3$.
I'm not sure how to solve this. I mean, since $k$ is of characteristic two, I can see that $(t_1 + t_2 + t_3... | 5 | [
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0.0283203125,
-0.023193359375,
0.029... | 33,649 | 33649 | |
Journal of the Brazilian Society of Mechanical Sciences
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Print version ISSN 0100-7386
J. Braz. Soc. Mech. Sci. vol.21 no.4 Rio de Janeiro Dec. 1999
http://dx.doi.org/10.1590/S0100-73861999000400001
On the Development of an Unstructured Grid Solver for In... | 4 | [
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0.02197265625,
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-0.05126953125,
-0.09765625,
0.002487182... | 33,650 | 33650 | |
Homework Help
Posted by lilly on Wednesday, March 27, 2013 at 1:15am.
The function f(x)=2x+8/3x-7 is one to one. Find its inverse, and check your answer.
f^-1(x)=
I haven't one clue how to do this...help me pleaaaase someone!
• math - Reiny, Wednesday, March 27, 2013 at 7:46am
let y = (2x+8)/(3x-7) , notice ... | 4 | [
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0.06884765625,
-0.0986328125,
-0.0539550... | 33,651 | 33651 | |
Uniform convergent and Lipschitz functions
November 2nd 2012, 08:15 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Uniform convergent and Lipschitz functions
Let $(f_n)$ be a uniform convergence sequence in $C^0([a,b], \mathbb {R} )$. Suppose that each $f_n$ is Lipschitz with Lipschitz constan... | 5 | [
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0.0269775390625,
-0.... | 33,652 | 33652 | |
Arabian Solution
The first answer is 450!.
Determining the number of zeroes at the end of x! is relatively easy once you realize that each such zero comes from a factor of 10 in the product
1 * 2 * 3 * ... * x
Each factor of 10, in turn, comes from a factor of 5 and a factor of 2. Since there are many more facto... | 5 | [
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0.09130859375,
0.026123046875,
-0.0084228515625,
0.025390625,
0.001739501953125,
0.... | 33,653 | 33653 | |
1. Introduction to Functions
In everyday life, many quantities depend on one or more changing variables. For example:
(a) Plant growth depends on sunlight and rainfall
(b) Speed depends on distance travelled and time taken
(c) Voltage depends on current and resistance
(d) Test marks depend on attitude, listening i... | 4 | [
-0.00933837890625,
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0.0224609375,
0.001953125,
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0.08837890625,
... | 33,654 | 33654 | |
Design of an Attitude and Heading Reference System Based on Distributed Filtering for Small UAV
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 498739, 8 pages
http://dx.doi.org/10.1155/2013/498739
Research Article
Design of an Attitude and Heading Reference System Based on Distributed Filtering f... | 4 | [
-0.06787109375,
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0.0859375,
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0.02978515625,
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0... | 33,655 | 33655 | |
Help with two limit problems...
October 13th 2008, 10:56 AM #1
Newbie
Joined
Aug 2008
Posts
20
Help with two limit problems...
What is the limit of tanx/x as x approaches zero?
and
What is the limit of sin2x/sin3x as x approaches zero?
l'hopital's rule
Have you learned L'hopital's rule for ... | 5 | [
-0.04931640625,
0.012451171875,
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-0.0732421875,
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0.0252685546875,
0.00805... | 33,656 | 33656 | |
Obtain estimates of b1 and b2 in the regression of Y on X
January 17th 2010, 09:51 AM #1
Newbie
Joined
Nov 2009
Posts
8
Obtain estimates of b1 and b2 in the regression of Y on X
How do I solve this question?
Im aware of B1 and B2 formulas after the OLS derivation, for example B1 = Y + Xbar B2
... | 4 | [
-0.0791015625,
-0.0751953125,
0.0625,
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-0.06787109375,
0.056396484375,
0.2060546875,
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-0.018... | 33,657 | 33657 | |
Wolfram Demonstrations Project
Surfaces of Revolution with Constant Gaussian Curvature
A surface of revolution arises by rotating a curve in the - plane around the axis. This Demonstration lets you explore the surfaces of revolution with constant nonzero Gaussian curvature . Without
loss of generality, we restrict our... | 4 | [
-0.048583984375,
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-0.0556640625,
-0.043701171875,
-0.00... | 33,658 | 33658 | |
Production Cost Calculus Problem???
November 10th 2008, 02:08 PM #1
Newbie
Joined
Nov 2008
Posts
5
I've been trying to figure out this problem for a while now and I'm not understanding how to do it and can't get the correct answers, can someone explain it to me please? Thanks...
Question Details:
... | 5 | [
0.0177001953125,
0.059326171875,
-0.0264892578125,
0.01214599609375,
-0.015380859375,
-0.0125732421875,
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0.09130859375,
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0.123046875,
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0.059326171875,
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0.014... | 33,659 | 33659 | |
Triple Integral
April 23rd 2009, 11:55 AM #1
Triple Integral
Let $\Omega$ be the three dimensional region defined by $\Omega:=\{(x,y,z)| z\geq 0, x^2+y^2 \leq z^2 \leq 1-x^2-y^2 \}$.
a). Sketch the region $\Omega$
b). Evaluate $\int \int \int_{\Omega} dx \ dy \ dz$
Hint: It may be helpful to use sph... | 4 | [
0.0301513671875,
0.042236328125,
0.017822265625,
-0.041015625,
0.038330078125,
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0.07275390625,
-0.072265625,
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0.056884765625,
0.0155029296875,
0.03515625,
-0.009765625,
-0.0030517578125,
-0.0147705078125,
-0.11279296... | 33,660 | 33660 | |
Single Spring
MyPhysicsLab – Single Spring
This simulation shows a single mass on a spring, which is connected to a wall. This is an example of a simple linear oscillator.
You can change parameters in the simulation such as mass, spring stiffness, and friction (damping). You can drag the mass with your mouse to chang... | 5 | [
-0.0029754638671875,
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-0.03515625,
... | 33,661 | 33661 | |
Sum of Unite fractions
August 28th 2010, 07:13 PM #1
Newbie
Joined
Aug 2010
Posts
2
Sum of Unite fractions
Hey all. Is there anyway to find ALL such integers a,b,c,d such that a<b<c<d and
1/a + 1/b + 1/c + 1/d = 1?
I know a = 2 since if a = 3 or more then the sum will be less than one. After tha... | 5 | [
-0.08642578125,
0.0103759765625,
0.050537109375,
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0.0233154296875,
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0.0081787109375,
-0.022705078125,
0.030029296875,
0.043701171875,
0.0461... | 33,662 | 33662 | |
Equation of an ellipse.
find h in the ellipse $hy^2-4x^2+h=0$ if $a^2+b^2=10$ where a, b are the axes of the ellipse.
I agree with mr.fantastic, but let $h>0$ then you have a hyperbola. You know the equation of a hyperbola in general: $\frac{x^2}{a^x}-\frac{y^2}{b^2}=1$ Now, for $h>0$: Consider the given equation:
$hy... | 4 | [
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... | 33,663 | 33663 | |
Coordinate Geometry help
November 22nd 2007, 10:26 AM #1
W0lframit3
Guest
Hi. Ive did a few of these sums now, but I am stuck at this one:
Find the equations of the two lines which pass through the point (1,3) if the perpendicular distance of each line from the origin is 3.
I know you have to use the per... | 4 | [
-0.052978515625,
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... | 33,664 | 33664 | |
finding the derivative of sin^2(x)
May 3rd 2010, 12:05 AM #1
Newbie
Joined
Apr 2010
Posts
13
finding the derivative of sin^2(x)
I need help finding the derivative of:
sin^2(x)
I believe I have to use the half angle identity...
if this is true, then would it be:
1/2 (1-cos(2x)) ?
w... | 5 | [
-0.036376953125,
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0.021484375,
0.0111083984375,
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0.0086669921875,
0.0267333984375,
... | 33,665 | 33665 | |
Using R for Introductory Statistics, Chapter 3.4
August 21, 2010
By Christopher Bare
...a continuing journey through Using R for Introductory Statistics, by John Verzani.
Simple linear regression
Linear regression is a kooky term for fitting a line to some data. This odd bit of terminology can be blamed on Sir Fra... | 4 | [
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0.0308837890625,
-0.0383300... | 33,666 | 33666 | |
Area enclosed by a curve?.
May 14th 2012, 11:32 AM #1
Newbie
Joined
May 2012
From
UK
Posts
3
Area enclosed by a curve?.
Hey can anybody help me by giving a step to step guide on how to work out an area enclosed by a curve please?.
Find the area enclosed by the curve: Y=4x^2 (x^2-2x+1). The axis ... | 4 | [
0.07763671875,
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0.0240478515625,
-0.0419921... | 33,667 | 33667 | |
Help with understanding the infinity axiom in ZF
June 30th 2011, 02:20 AM #1
Senior Member
Joined
Dec 2008
Posts
288
Help with understanding the infinity axiom in ZF
I need some help in understanding why:
$\exists{x}[\{\}\in{x}\wedge\forall{y}\in{x}((y\cup\{y\})\in{x })]$
means that there exits... | 4 | [
-0.021484375,
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0.034423828125,
0.034... | 33,668 | 33668 | |
Fibonacci decimal
June 23rd 2007, 02:16 PM #1
Super Member
Joined
May 2006
From
Lexington, MA (USA)
Posts
11,660
Thanks
600
Fibonacci decimal
Find the value of this infinite decimal:
Code:
0.01
0.001
0.0002
0.00003
0.000005
0.00000... | 5 | [
-0.059326171875,
-0.004638671875,
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0.00738525390625,
0.02294921875,
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-0.019287109375,
0.1015625,
0.04345703125,
0.04248046875,
-0.057861328125,
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0.031005859375,
-0.146484375,
-0.0673828125,
-0.044189453125,
-0.0... | 33,669 | 33669 | |
Linear Math
December 18th 2007, 04:21 PM
linearmath
Linear Math
questions 1: the three vectors x, y, z have real-valued components and form the sides of a triangle. Prove the Law of Cosines for these vectors, i.e...that
|z|^2 = |x|^2 + |y|^2 - 2*x*y = |x|^2 + |y|^2 - 2*x*y*cos(theta)
where theta is the... | 4 | [
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0.03125,
-0.06396484375,
-0.041748046875,
-0.1015625,
-0.1069335937... | 33,670 | 33670 | |
Derivative (1st Principles)
February 17th 2009, 02:52 PM
millerst
Derivative (1st Principles)
Find the derivative of the function using the definition of derivative.
1) x + sqrt(x)
2) 1 / sqrt(x)
---------------
1) ((x+h) + sqrt(x+h) - [x + sqrt(x)])/h
I'm stuck here, not sure what to do?
... | 5 | [
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-... | 33,671 | 33671 | |
Homework Help
Posted by dan on Wednesday, January 23, 2013 at 9:47pm.
cos 17pi/6 + tan 17pi/6
• Trigonometry - Reiny, Wednesday, January 23, 2013 at 10:27pm
Perhaps you might find it easier to think in degrees ?
17π/6 radians = 510°
which is coterminal with 150°
cos 150° = - cos30° = -√3/2 , by CA... | 4 | [
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... | 33,672 | 33672 | |
Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 604029, 14 pages
http://dx.doi.org/10.1155/2013/604029
Research Article
Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Grou... | 5 | [
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-0.053710... | 33,673 | 33673 | |
i need standard deviation help
February 21st 2008, 07:51 AM
benimted
i need standard deviation help
i need to do standard deviation on my calculator for my math class, but whenever i do it i get a wrong answer.
here is what i am doing
i enter the numbers in L1 and their frequency in L2 and then i do the... | 4 | [
0.06982421875,
-0.0186767578125,
0.03076171875,
-0.00933837890625,
0.004638671875,
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-0.06640625,
0.0986328125,
-0.004150390625,
0.030029296875,
0.09130859375,
-0.0341796875,
0.0390625,
-0.08056640625,
0.036865234375,
-0.07275390625,
-0.06787109375,
-0.004516601562... | 33,674 | 33674 | |
Word Problem: Computing age comparing quantities
July 9th 2012, 02:58 PM #1
Member
Joined
May 2008
Posts
143
Word Problem: Computing age comparing quantities
Problem: Monica earns three times per hour as John, John earns $2 more per hour than Alicia. Together they earn $43 per hour. How much is each one'... | 4 | [
0.00022411346435546875,
0.0498046875,
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0.083984375,
0.035400390625,
0.0052490234375,
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-0.0098876953125,
... | 33,675 | 33675 | |
Fuzzy Residue
Eugene McDonnell
I. P. Sharp Ass... | 4 | [
-0.046630859375,
0.016357421875,
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-0.0478515625,
-0.08349... | 33,676 | 33676 | |
one sided limit
January 1st 2008, 03:52 AM #1
Newbie
Joined
Oct 2007
Posts
15
one sided limit
heeey
lim x^4-1 / x - 1
x-> 1+
how to do it, how to find one sided limit ???
the answer is 4
$\lim_{x \to 1^+} \frac{x^4 - 1}{x - 1} = \lim_{x \to 1^+} \frac{(x^2 + 1)(x^2 - 1)}{x - 1}$
... | 4 | [
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0.09130859375,
-0.0830078125,
0.0177001953125,
-0.031982421875,
-0.032226... | 33,677 | 33677 | |
Counting and Combinatorics
July 7th 2009, 03:56 PM #1
Counting and Combinatorics
Q: How many solutions are there to:
x1 + x2 + x3 + x4 +x5 = 50 for integers xi >= 1
What I've done:
Rewrite as: (x1 - 2) + (x2 - 2) + (x3 - 2) + (x4 - 2) + (x5 - 2) = 40
My answer: The number of solutions is C(40 ... | 4 | [
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... | 33,678 | 33678 | |
s b
Introduction
This page includes note covering the theory of reinforced concrete beams. The theory generally used in the past has bee based on elastic method of analysis. In the last twenty years the elastic
theory has beean superseded by the ultimate load method in the codes applicable to the construction industry... | 4 | [
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0.... | 33,679 | 33679 | |
Oxygen Diffusion
Calculating the Oxygen Diffusion Coefficient in Air
Tom Richard
This discussion is part of a section on oxygen transport and oxygen diffusion in compost, which provides background on the general concepts and equations.
Diffusion theory for gases is based on the kinetic molecular theory of gases, ini... | 4 | [
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0... | 33,680 | 33680 | |
Discover
Fermat's Enigma
In the early 17th century, French mathematician Pierre de Fermat scribbled a theorem in the margin of a book he was reading. He noted that for the equation
x^n + y^n = z^n
, if n was greater than 2, then
x, y,
and
z
could not all be positive whole numbers. "I have discovered a truly marv... | 4 | [
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0.034423828125,
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0.059814453125,
0.045654296875,
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Is this correct? inequality
June 29th 2007, 04:53 PM #1
Newbie
Joined
Jun 2007
Posts
20
Is this correct? inequality
The solution of the inequality $\mid 2x - 1 \mid < x + 2$ is
$? < x < ?$
And this is what I did:
For positive value
$2x - 1 = x + 2$
$2x - 1 = x + 2$
$2x - x = ... | 4 | [
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An upper bound for a series
This question reminded me of a better one: Prove that $\sum_{n=1}^{\infty} \left(1 - \frac{1}{\sqrt{n}} \right)^n < \frac{1}{\sqrt{e}} \zeta \left(\frac{e}{2} \right).$ Spoiler:
I'll prove what's in the spoiler box (the stronger result): $\left(1 - \frac{1}{\sqrt{x}} \right)^x < \frac{1}{\s... | 5 | [
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-0.008... | 33,683 | 33683 | |
Intermodulation Products for a Mixer Subjected to a Multi-carrier Signal
Technical Feature
Intermodulation Products for a Mixer Subjected to a Multi-carrier Signal
Applying a multi-carrier signal to a mixer leads to a large range of intermodulation products. To perform a link budget of a multi-carrier transmit-receiv... | 4 | [
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0.027099609375... | 33,684 | 33684 | |
Family of subset problem
August 26th 2008, 12:59 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Family of subset problem
Let * be a binary operation on a nonempty set X and let Y be a nonempty subset of X and $\{ Z_i \} _{i \in I}$ be a family of nonempty subsets of X. Prove that:
$Y* \bi... | 5 | [
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0.035888... | 33,685 | 33685 | |
Surface area integral
March 1st 2010, 12:27 PM #1
Junior Member
Joined
Jan 2010
Posts
25
Surface area integral
If you revolve the function $y=x^3$, $1\leq x\leq 2$ around the x-axis how do you calculate the surface area by using the parametrization
$x=t$
$y=r(t)\cos\theta$
$z=r(t)\sin\theta$
... | 5 | [
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0.04394531... | 33,686 | 33686 | |
Differential equations substitution
Solve: $xyy'+y^2=sinx$ by letting $y^2=v$ Would you use this and then substitute it into the differential equation? $y'=\dfrac{1}{2\sqrt{v}}\dfrac{dv}{dx}$
$y^2 = v$ $y = \sqrt{v}$ $\frac{d}{dx}(y) = \frac{d}{dx}(\sqrt{v})$ $\frac{dy}{dx} = \frac{d}{dv}(\sqrt{v})\,\frac{dv}{dx}$ $\f... | 5 | [
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0.11132... | 33,687 | 33687 | |
Homework Help
Posted by corinne on Friday, February 4, 2011 at 1:37am.
If a swimming pool that has a diameter of 40 feet and a height of 5 feet can be filled in 50 minutes, how long will it take to fill a pool that has a diameter of 36 feet and a height of 6 feet?
• math - MathMate, Friday, February 4, 2011 at 5:53... | 4 | [
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graph function
graph has a vertical asymptote and a slant asymptote ... start by finding and graphing them.
Use long division: Code: 36 x^2 ÷ (x - 6) = x + 6 + ----- -(x^2 - 6x) x-6 ------------- 6x -(6x - 36) ---------- 36That means: $y = \dfrac{x^2}{x-6} = \underbrace{x + 6}_{\text{term of slant
asymptote}} + \dfrac... | 4 | [
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solving rational equations
July 6th 2008, 11:27 AM
Hypertension
solving rational equations
I thought I got the whole concept but when I came across these problems, my answer came no where near that of the correct answer.
1) $\frac{x}{x-3} + x = \frac{7x-18}{x-3}$
2) $\frac3{x} + \frac{x}{x+2} = - \fr... | 4 | [
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Latin American applied research
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versión impresa ISSN 0327-0793
Lat. Am. appl. res. v.35 n.1 Bahía Blanca ene./mar. 2005
On the viscosity of concentrated suspensions of charged colloids
C. L. A. Berli,^1, 2 J. A. Deiber^1 and D. Quemada... | 4 | [
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0.125,
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0.03198242... | 33,691 | 33691 | |
Ratios: Combinining A:B , C:D to yield A:B:C:D.
May 5th 2011, 07:18 PM #1
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Joined
May 2011
Posts
6
Ratios: Combinining A:B , C:D to yield A:B:C:D.
Greetings to All!
This is my very first post on a Math forum. I am studying for GRE and there's one particular problem type on ratios which confuse... | 4 | [
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0.041748046875,
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-0.04931640625,
0... | 33,692 | 33692 | |
Homework Help
Posted by Lisa on Thursday, July 5, 2012 at 7:56pm.
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation
• algebra - Henry, Monday, July 9, 2012 at 3:48pm
1. Facto... | 4 | [
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0.05615234375,
0.01806640625,
0.01... | 33,693 | 33693 | |
Homework Help
Posted by SNOOPY on Thursday, April 17, 2008 at 11:42pm.
find the probability of andomly selectng 7 amerans rom apool of 23 britsh peopleand 19 amerans. determine whether the event isdependent or independent, list the aroprite formula, compu your answer,
• probability - Reiny, Friday, April 18, 2008 a... | 4 | [
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... | 33,694 | 33694 | |
A Fusion Algorithm for GFP Image and Phase Contrast Image of Arabidopsis Cell Based on SFL-Contourlet Transform
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 635040, 10 pages
http://dx.doi.org/10.1155/2013/635040
Research Article
A Fusion Algorithm for GFP Image and Phase Contrast ... | 4 | [
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Homework Help
• Calculus - Anonymous, Monday, February 16, 2009 at 8:13pm
use a calculator, that's what calculus is all about. duh!
• Calculus - Barbara, Monday, February 16, 2009 at 8:24pm
Excuse you that DUH is not necessary and if I could use the calculator I would have used it but my teacher did not ... | 5 | [
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Math Help
An initial investment of $4000 doubles in value in 6.8 years. Assuming continuous compounding, what was the interest rate?
I would use the model $A=Pe^{rt}$ where A = annuities, P = principal amount invested, r = rate, t = time in years Therefore $A=4000e^{rt}$ as the amount doubled over 6.8 years, using (t... | 4 | [
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0.00285339... | 33,697 | 33697 | |
Differentiating natural logs
June 19th 2010, 06:38 PM #1
Newbie
Joined
Oct 2008
Posts
13
Differentiating natural logs
I'm having a little trouble differentiating these two functions, if anyone could help I would greatlyyy appreciate it.
g(x) = ln (x * sqrt(x^(2)-1))
and
f(u) = ln u / (1+ln... | 5 | [
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Independant Bernoulli Random Varible
February 21st 2013, 03:28 AM #1
Newbie
Joined
Aug 2012
From
uk
Posts
24
Independant Bernoulli Random Varible
SupposeY1; Y2; Y3; : : : are independent Bernoulli random variables with
P(Yi = 0) = 1 =(1/i!)
P(Yi = 1) = 1=i!
Defining X=Y1+Y2+Y3+...... | 5 | [
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