content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
sums with lnx
April 21st 2008, 05:11 PM #16
$\sum\frac{lnk}{e^{k}}$
so the book is telling me to use the ratio test...
and you get $\frac{ln(k+1)}{elnk}=\frac{1}{e}$
so now I guess how would ln(k+1)/lnk go to 1 would be my basic question...
all I know is is that ln(n)/n goes to 0 as n goes to ... | 5 | [
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... | 25,300 | 25300 | |
Showing a root is of an equation
October 22nd 2009, 10:05 AM #1
Newbie
Joined
Oct 2009
Posts
16
Showing a root is of an equation
Show that 1 is a root of the equation x^3 - 13x + 12 = 0 I can usually do this by dividing the factor in to the equation but I can't seem to work this one out mainly because wh... | 4 | [
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0... | 25,301 | 25301 | |
Particular soln of Diff EQ
February 11th 2008, 09:57 AM #1
Newbie
Joined
Jan 2008
Posts
16
Particular soln of Diff EQ
The eqn is :
y" +y' +y = (sin(x))^2
and i'm in need of a particular solution, y(p).
I tried y= B/2 - A/2cos(2x)(below)
y = B/2 - A/2cos(2x)
y' = Asin(2x)
y'' =... | 4 | [
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-0.004547119140... | 25,302 | 25302 | |
Poisson process on R^2
December 9th 2009, 05:05 PM #1
Senior Member
Joined
Jan 2009
Posts
404
Poisson process on R^2
Consider a Poisson process of rate λ on R^2. Let N(r) be the number of points in a circle of radius r centered at the origin and Y2 be the distance from the origin to the 2nd closest point... | 4 | [
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Parallelogram Angle Solving
March 31st 2010, 01:24 PM #1
Newbie
Joined
Mar 2010
Posts
13
Parallelogram Angle Solving
Basically just find this angle,
I used the sine rule and got something like 50.8...etc, And when I rounded it off I got 51.
But I dont think its right, Anyone help, I think the r... | 4 | [
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0.07714... | 25,304 | 25304 | |
Development and Control of a 5-Axis Reconfigurable Machine Tool
Journal of Robotics
Volume 2011 (2011), Article ID 583072, 9 pages
http://dx.doi.org/10.1155/2011/583072
Research Article
Development and Control of a 5-Axis Reconfigurable Machine Tool
Department of Engineering, Indiana University—Purdue Universit... | 4 | [
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Optimization Problem.
Find a positive number such that the sum of the number and its reciprocal is as small as possible.
Let the positive number be x. So we have x > 0 we want x + 1/x to be a minimum. let y = x + 1/x => y' = 1 - 1/x^2 for min, set y' = 0 => 1 - 1/x^2 = 0 => 1/x^2 = 1 => x^2 = 1 => x = +/- 1 => x = 1,
... | 5 | [
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Pythagorean Theorem
February 25th 2010, 04:14 AM
mark090480
Pythagorean Theorem
Cos^2 + Sin^2 = 1
I know that this is just the Pythagorean Theorem, so here we are saying that the radius of the circle is 1? As cos = x ( base) and sin = y ( height ), what happens if the circle's radius is 5.
Does this app... | 4 | [
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Real Analysis: Measure Theory, Integration, and Hilbert Spaces
Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the
development of measure and integration theory, differentia... | 4 | [
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Cutting Affine Moment Invariants
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 928161, 12 pages
http://dx.doi.org/10.1155/2012/928161
Research Article
Cutting Affine Moment Invariants
^1School of Math and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Chin... | 4 | [
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... | 25,309 | 25309 | |
Orthogonalization of polynomial
June 3rd 2013, 01:33 PM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
Orthogonalization of polynomial
Hi guys.
I have the following base for $\mathbb{R}_2[x]$: $\left \{ 1,x,x^2 \right \}$
I want to orthogonalize this base with respect to the inn... | 5 | [
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System of equations with absolute value
February 1st 2006, 04:59 AM #1
Junior Member
Joined
Dec 2005
Posts
58
System of equations with absolute value
I have to solve this system
$<br /> \[<br /> \left\{ \begin{array}{l}<br /> \left| {x + y} \right| = 5 \\ <br /> \left| {xy} \right| = 6 \\ <br /> \en... | 4 | [
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-... | 25,311 | 25311 | |
New Recursive Representations for the Favard Constants with Application to Multiple Singular Integrals and Summation of Series
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 523618, 12 pages
http://dx.doi.org/10.1155/2013/523618
Research Article
New Recursive Representations for the Favard Constants wit... | 5 | [
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find the general solution
March 2nd 2009, 04:23 PM #1
Member
Joined
Feb 2008
Posts
125
find the general solution
I am suppose to find a small integral root of the characteristic equation by inspection; then factor by division; and find the general solution of
y^(4) + y^(3) -3y''-5y'-2y=0
I am h... | 4 | [
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Help proving statement about determinant
February 12th 2013, 11:11 AM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
Help proving statement about determinant
i need to prove the following:
let $A\in \mathbb{R}^{n\times n}$.
$rank(A)=n \Leftrightarrow det(A)eq 0$
this is w... | 5 | [
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complex conjugates
July 24th 2008, 03:11 AM #1
Newbie
Joined
Jul 2008
Posts
3
complex conjugates
Right, this comes in 2 parts, the 1st part is that this problem is part (b) of a question, in part (a) you are given z= 3+5i however i don't know if you can/need to use this fact for this part of
the ques... | 4 | [
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WebDiarios de Motocicleta
I saw two recent news items that reflect on Romania.
Lance
blogs
about the ISI Web of Science. I first heard of this thing a few years ago, when the Romanian government instituted paper counting as the means for promotion in any public university. The flavor of
paper counting was that you ... | 5 | [
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Michael Isner
Michael Isner's 10th Level Magic User Quaternion Spells
(Solving rotation problems in XSI 2.0 or greater)
... | 4 | [
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Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 678762, 8 pages
http://dx.doi.org/10.1155/2013/678762
Research Article
Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with P... | 5 | [
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A Theory of Cartesian Product and Factorization
of Circulant Graphs
Journal of Discrete Mathematics
Volume 2013 (2013), Article ID 163740, 10 pages
http://dx.doi.org/10.1155/2013/163740
Research Article
A Theory of Cartesian Product and Factorization of Circulant Graphs
Department of Mathematics, St. Jude's College... | 4 | [
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0.06... | 25,319 | 25319 | |
finidng the general solution
February 9th 2010, 01:01 PM
bobguy
finidng the general solution
Find the general solution of the equation:
1= [3y*cos(y^2)*dy/dx] + [3e^(-x) * ycos(y^2) * dy/dx]
really really stuck on this, any help would be appreciated!
February 9th 2010, 03:35 PM
Jester
Quote:
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Millionaire's Estate
January 3rd 2007, 05:14 PM #1
Newbie
Joined
Nov 2006
From
USA
Posts
14
Millionaire's Estate
The will of an eccentric millionaire reads as follows: "I leave 4/17 of my estate to my son, 7/13 of the remainder to my wife, 2/3 of the remainder to my daughter, and the remaining $2 mil... | 4 | [
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Rotated Ellipse Equation
Ellipse is one of basis of mathematics.Ellipse is defined as the curve. The ellipse curve are having a locus of all point. In the rotated ellipse equation the distances are calculated by using the
focus point. The focus point are also separated by using the rotated distance called the 2c. Ellip... | 4 | [
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Some quick help on solving rational equations
October 16th 2011, 03:56 PM #1
Newbie
Joined
Oct 2011
Posts
4
Some quick help on solving rational equations
How can I solve for X with a question with a form like this :
(2/x+1)+5 = 1/x
and also
x - 5/x = 4
I seem to struggle when they sin... | 4 | [
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Fundamental Theorem of Calculus, Part I
May 12th 2010, 04:21 AM
SyNtHeSiS
Fundamental Theorem of Calculus, Part I
For g(x) = ∫ a to x f(t)dt, I would like to know why there is an x at the upper limit and why it not equal to b, what is the difference?
May 12th 2010, 04:50 AM
HallsofIvy
Quote:
There's... | 5 | [
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Area of triangle within a triangle
January 9th 2013, 12:25 PM
TimsBobby2
Area of triangle within a triangle
Given a triangle ABC. On the sides: Let R lie one third of the way from A to B. Let S lie one third of the way from B to C. Let T lie one third of the way from C to A. Now connect points RST to
make a ... | 4 | [
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deduce values of k for which cubic has three distinct real roots
April 10th 2010, 02:03 AM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
deduce values of k for which cubic has three distinct real roots
Find the equation at the tangent to $y = x^3$ at the point $(t,t^3)$.
Hence deduce the va... | 4 | [
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Mimicking General Relativity with Newtonian Dynamics
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 260951, 15 pages
http://dx.doi.org/10.5402/2012/260951
Research Article
Mimicking General Relativity with Newtonian Dynamics
Instituto de Cosmologia Relatividade Astrofisica (ICRA-Brasil/CBPF) Rua Dr. Xavier... | 4 | [
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-0.0087890625,
0.040771484375,
-0.04345703125,
0.00946044921875,
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-0.087890625,
-0.000713348388671875,
-0.0020751953125,
-0.05908203125,
0.048095703125,
... | 25,327 | 25327 | |
Weighted Wilcoxon-Type Rank Test for Interval Censored Data
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 273954, 8 pages
http://dx.doi.org/10.1155/2013/273954
Research Article
Weighted Wilcoxon-Type Rank Test for Interval Censored Data
^1Department of Applied Mathematics, National Sun Yat-sen Univer... | 4 | [
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0.0074462890625,
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0.08251953125,
-0.00421142578125,
-0.06396... | 25,328 | 25328 | |
A New Decision Model for Reducing Trim Loss and Inventory in the Paper Industry
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 987054, 10 pages
http://dx.doi.org/10.1155/2014/987054
Research Article
A New Decision Model for Reducing Trim Loss and Inventory in the Paper Industry
Department of Industria... | 4 | [
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[Calculus]volume of the solid of revolution
December 1st 2008, 05:38 PM #1
Newbie
Joined
Nov 2008
Posts
22
Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by the curves.
I have read textbook but I still don't understand how to solve this problem.
... | 4 | [
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Find another point on the curve with the same tangent.
February 20th 2011, 06:54 AM #1
Member
Joined
Mar 2010
Posts
78
Find another point on the curve with the same tangent.
Question:
Find the equation of the tangent to $y = 8x^4 + 40x^3 + 26x^2 - 63x + 24$ at the point (3,-15). Find another point o... | 5 | [
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0.125,
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0... | 25,331 | 25331 | |
Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay-Partitioning Projection Approach
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 212469, 11 pages
http://dx.doi.org/10.1155/2013/212469
Research Article
Stability... | 4 | [
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A Note on Generalized Hardy-Sobolev Inequalities
International Journal of Analysis
Volume 2013 (2013), Article ID 784398, 9 pages
http://dx.doi.org/10.1155/2013/784398
Research Article
A Note on Generalized Hardy-Sobolev Inequalities
Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
Re... | 5 | [
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lowering powers
May 16th 2010, 07:42 PM
reino17
lowering powers
rewrite the expression in terms of the first power of cosine
sin^4x
so far i have
(sin^2x)^2
= (1-cos2x/2)^2
= (1-cos2x/2)(1-cos2x/2)
=1-cos^2.2x/4
so my question is, is it right? or is there more
May 16th 2010, 08... | 4 | [
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Analysis - complex sequences problem?
November 25th 2007, 06:39 AM #1
Newbie
Joined
Nov 2007
Posts
13
Analysis - complex sequences problem?
If you let {a_n} be a complex sequence where
lim [ |a_n|^(1/n) ] = q
i.e. the nth root of the modulus of the terms in the sequence tends to q.
(i) show ... | 4 | [
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the encyclopedic entry of excentricity
In the study of ellipses and related geometry, various parameters in the distortion of a circle into an ellipse are identified and employed: Aspect ratio,
flattening
and
eccentricity
. All of these parameters are ultimately trigonometric functions of the ellipse's
modular ang... | 4 | [
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-0.... | 25,336 | 25336 | |
possible to factor??
July 21st 2008, 07:13 AM #1
Newbie
Joined
Dec 2007
Posts
22
possible to factor??
I used half angle formula to get from sin (x/2) + cos x = 0 -->
2cos^2 x - cos x + 1 = 0, but is it possible to factor?
I graphed the original on my calculator and the answer appears to be x=pi,... | 4 | [
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College Savings Plan
March 26th 2012, 04:57 PM #1
Newbie
Joined
Mar 2012
From
North Bay
Posts
4
College Savings Plan
Hey Guys,
I am trying to figure out this problem dealing with a college savings plan for my kids.
Its currently September.....my kids are 14,13, and twins at 11. They are all ... | 4 | [
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Transformation
February 1st 2009, 05:25 PM
Crazyheaven
Transformation
The graph of F(X)= X^(1/2), shift down 3 and then reflect off the x-axis
I'm getting F(X)=-1(x)^(1/2)-3, but the answer in the book has F(x)= -1(x)^(1/2)+3
When I reflect my y values do I also reflect my shift?
February 1st 2009, 11... | 4 | [
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Algebraic structures - help with prove or disprove question
October 31st 2013, 01:26 AM #1
Member
Joined
Nov 2012
From
israel
Posts
164
Thanks
2
Algebraic structures - help with prove or disprove question
Hi.
I need to prove or disprove the following:
1. Let $B=\left \{ s+tx|s,t\in \math... | 5 | [
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0.05712890625,
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0.009521484375,
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0.00071334838867... | 25,340 | 25340 | |
Dimension of moduli space in Lagrangian Floer homology
up vote 3 down vote favorite
3
Let $(M,\omega)$ be symplectic manifold with $\omega=c_{1}=0$ on $\pi_{2}M$. Let $\Lambda\subseteq M$ be Lagrangian submanifold. Let $H:M\times S^{1}\rightarrow\mathbf{R}$ be Hamiltonian and $J$ be
compatible almost complex structure... | 4 | [
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-0.0205078... | 25,341 | 25341 | |
Help simplifiying expression
August 26th 2009, 06:07 AM #1
Newbie
Joined
Aug 2009
Posts
3
Help simplifiying expression
Ok, so heres the problem, it asks me to simplify the expression:
{(2x-1)^4 * 3(x+3)^2 - 4(2x-1)^3 * 2(x+3)^3} / (2x-1)^8
I was thinking of using binomial therom since it looks... | 4 | [
0.03515625,
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-0... | 25,342 | 25342 | |
Need help finding the general statement
June 25th 2012, 07:17 AM
max17
Need help finding the general statement
Hi guys first time posting here, not sure if it belongs in this category...
But I need help with an internal assessment.
1 1
1 3/2 1
1 6/4 6/4 1
1 10/7 10/6 10/7 1
1 15/11 15/9... | 4 | [
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-0.0233154... | 25,343 | 25343 | |
Product rule for the second derivative
November 8th 2012, 05:15 AM #1
Newbie
Joined
Oct 2012
From
Germany
Posts
19
Product rule for the second derivative
Hello. I have a function d^2(xy)/dy^2.
Do I separate the function as (d/dy)(d(xy)/dy) or do I just perform the product rule and apply the doub... | 5 | [
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0.09375,
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Exact and Heuristic Methods for Network Completion for Time-Varying Genetic Networks
BioMed Research International
Volume 2014 (2014), Article ID 684014, 13 pages
http://dx.doi.org/10.1155/2014/684014
Research Article
Exact and Heuristic Methods for Network Completion for Time-Varying Genetic Networks
Bioinformatics... | 4 | [
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0.0260009765625,
-0.050537109375,... | 25,345 | 25345 | |
Existence and Multiplicity of Homoclinic Orbits for Second-Order Hamiltonian Systems with Superquadratic Potential
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 328630, 12 pages
http://dx.doi.org/10.1155/2013/328630
Research Article
Existence and Multiplicity of Homoclinic Orbits for Second-Order Hamil... | 5 | [
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-0.0419921875,... | 25,346 | 25346 | |
complex algebra
June 25th 2010, 10:30 PM #1
Member
Joined
Nov 2009
Posts
107
complex algebra
Given that the quadratic equation $(m^2-3m-4)x^2+(m^2+2)x+12=0$ has real roots $\alpha$ and $\beta$ .Find the set of values of m such that $\alpha<-1<\beta$
Attempt:
$\alpha+\beta=-[\frac{m+2}{m^2-3m-4}... | 5 | [
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-0.004791259765625,
-0.02587890625,
0.04296875,
0.1025390625,
-0.0280... | 25,347 | 25347 | |
nth Derivative in Proof by Induction
February 13th 2011, 02:50 AM #1
Member
Joined
May 2008
Posts
101
Hey, I've been working through some proof by induction problems, and most of them are manageable, but then I saw one which involved differentiation which I have no idea what to do. Could someone
pleas... | 5 | [
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0.035400390625,
-0.... | 25,348 | 25348 | |
Weight of An Astronaut
February 2nd 2010, 09:04 AM #1
Banned
Joined
Dec 2009
From
NYC
Posts
84
Weight of An Astronaut
The weight of an object varies inversely with the square of its distance from the center of the earth. Assume that the radius of the earth is 3960 miles. If an astronaut weighs 180 po... | 4 | [
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0.... | 25,349 | 25349 | |
simultaneous equation
August 23rd 2009, 11:42 AM #1
Member
Joined
Aug 2009
Posts
211
simultaneous equation
hi, can anyone figure out the solution to
4x + 3y = 17 and y = 3/4x - 19/4
and if possible can you show me exactly how you figure it out step by step?
thanks for any help
ah, in ... | 4 | [
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0.033935546875,
0.0625,
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0.05517578125,
-0.07763671875,
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Lipschitz continuous
December 2nd 2012, 02:26 PM
lahuxixi
Lipschitz continuous
http://i822.photobucket.com/albums/z...whatisthis.png
This question is about lipschitz continuous, i think the way to check if the solutions can be found as fixed points is just differentiating f(t), but i'm not sure about this. C... | 5 | [
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0.0201416015625,
-0.00439453125... | 25,351 | 25351 | |
Multiplying Fractions
January 12th 2011, 05:31 AM #1
Member
Joined
Jan 2011
Posts
95
Multiplying Fractions
Hi All,
I'm trying to multiply the below..
$(100*50*10)/(15*10*4) = (50*25*5)/(25*10*n)$
so this would symplify to
$50/3 = 50/50n (n)$ leaving $50/3 = n$
But the answer is n ... | 4 | [
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0.10498046875,
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0.11767578125,
-0.0296630859375,
0.161132... | 25,352 | 25352 | |
Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier Transform
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 131459, 6 pages
http://dx.doi.org/10.1155/2014/131459
Research Article
Localization Operators and an Uncertainty Principle for the Discrete Short Time Fourier ... | 5 | [
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0.0446777... | 25,353 | 25353 | |
Fwd: [Haskell-cafe] Point-free style
shiqi cao shiqicaoml at gmail.com
Sun Feb 13 21:29:22 EST 2005
---------- Forwarded message ----------
From: shiqi cao <shiqicaoml at gmail.com>
Date: Sun, 13 Feb 2005 21:25:56 -0500
Subject: Re: [Haskell-cafe] Point-free style
To: Tim Docker <timd at macquarie.com.au>
On Mon, 1... | 4 | [
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-0.058349609375,
0.045654296875,
0.004364013671875,
-0.052734375,
0.0... | 25,354 | 25354 | |
Prove theorem: In FLT chapter
May 19th 2009, 06:09 AM #1
Junior Member
Joined
May 2009
Posts
25
Prove theorem: In FLT chapter
My final is today and I need help!
Prove the theorem: The only solutions in non-negative integers of the equation x^2+2y^2=z^2, with gcd(x, y, z)=1 are given by x=+-(2s^2-t^2... | 4 | [
-0.0849609375,
0.0830078125,
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0.0255126953125,
0.04638671875,
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0.0022125244140625,
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0.04443359375,
-0.050537109375,
-0.0022430419921875,
-0.04443359375,
-0.1191... | 25,355 | 25355 | |
Power set,bijection and binomial coefficient
August 20th 2011, 05:16 AM #1
Junior Member
Joined
Jan 2011
Posts
45
Power set,bijection and binomial coefficient
Let N={1,2.....n} .Define the Power set of N,P(N), and show that the map f:P(N)->P(N)
defined by taking A to belong to P(N) to N\A is a biject... | 4 | [
0.0252685546875,
0.061279296875,
0.006591796875,
0.0595703125,
-0.0201416015625,
0.07080078125,
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0.01422119140625,
0.060302734375,
0.0216064453125,
-0.0751953125,
-0.07666015625,
0.004730224609375,
-0.0693359375,
-0.01263427734375,
0.06787109375,
-0.032470703125,
-0.0... | 25,356 | 25356 | |
Nonlinear inequality
February 1st 2009, 06:56 PM #1
Junior Member
Joined
Jan 2009
Posts
40
Nonlinear inequality
Solve the nonlinear inequality. Express the solution using interval notation and graph the solution set.
I am stuck on where the line should start, I know it is a positive infinity, it ap... | 4 | [
-0.01513671875,
0.0537109375,
0.03173828125,
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0.05224609375,
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0.1044921875,
0.07666015625,
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0.0830078125,
0.00634765625,
-0.1... | 25,357 | 25357 | |
Proving inequalities
June 15th 2012, 07:19 AM #1
Proving inequalities
Let a,b, c be non-negative real nos. such that a+b+c=1. Prove that a^2+b^2+c^2+sqrt(12abc)<=1.
Please help me with this one. I don't really have an idea how to prove inequalities. TY.
Re: Proving inequalities
Given $a+b+c = 1$, squar... | 5 | [
-0.040771484375,
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0.0079345703125,
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0.0216064453125,
0.0123291015625,
-... | 25,358 | 25358 | |
A Neuro-Fuzzy Controller for Collaborative Applications in Robotics Using LabVIEW
Applied Computational Intelligence and Soft Computing
Volume 2009 (2009), Article ID 657095, 9 pages
http://dx.doi.org/10.1155/2009/657095
Research Article
A Neuro-Fuzzy Controller for Collaborative Applications in Robotics Using LabVIE... | 4 | [
0.00762939453125,
-0.0625,
0.01519775390625,
-0.07421875,
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0.0693359375,
0.06982421875,
-0.154296875,
... | 25,359 | 25359 | |
the encyclopedic entry of luminosity
Luminosity
has different meanings in several different fields of science.
In photometry and color imaging
In
photometry
,
luminosity
is sometimes incorrectly used to refer to
luminance
, which is the density of
luminous intensity
in a given direction. The
SI
unit for lu... | 5 | [
-0.00927734375,
-0.060791015625,
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0.03271484375,
0.01019287109375,
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0.052490234375,
0.020263671875,
-0.02355... | 25,360 | 25360 | |
the encyclopedic entry of deontic logic
Deontic logic
is the field of
logic
that is concerned with
obligation
,
permission
, and related concepts. Alternatively, a deontic logic is a formal system that attempts to capture the essential logical features of these concepts. Typically, a deontic logic uses
OA
to m... | 4 | [
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... | 25,361 | 25361 | |
Solving this probem...
Hi First you have to define the values of x for which √(2x-1) and √(x+3) are defined : [1/2 , +oo[ Then √(2x-1) - √(x+3) = 1 √(2x-1) = 1 - √(x+3) Square 2x-1 = x+4 - 2√(x+3) x-5 = 2√(x+3) Square
(x-5)² = 4(x+3) x²-14x+13=0 (x-1)(x-13)=0 x=1 or x=13 You have now to verify by substituting the two v... | 4 | [
-0.08544921875,
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0.00726318359375,
0.01239013671875,
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0.022216796875,
-0.052978515625... | 25,362 | 25362 | |
foil nightmare within mods
September 26th 2007, 10:46 AM #1
Newbie
Joined
Sep 2007
Posts
14
foil nightmare within mods
Alright, the problem goes as follows
in mod 5, compute (a+b)^5
in mod 3 compute (a+b)^3
in mod 2 compute (a+b)^2
in mod 4 compute (a+b)^4
in mod 7 compute (a+b)^7
... | 4 | [
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0.08984375,
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0.00448... | 25,363 | 25363 | |
A Node Model Capturing Turning Lane Capacity and Physical Queuing for the Dynamic Network Loading Problem
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 542459, 14 pages
http://dx.doi.org/10.1155/2012/542459
Research Article
A Node Model Capturing Turning Lane Capacity and Physical Queuing for th... | 4 | [
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0.01397705078125,
0.00982666015625,
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0.06591796875,
0.047607... | 25,364 | 25364 | |
Normalization Constant
I think you mean $e^{-1.5x^2}$ because the former does not convergene when we take the integral. We need to find a constant ("normalization") $k$ so that: $k\int_{-\infty}^{\infty} e^{-1.5x^2} dx =
1$ In order to turn it into a probability density function. Thus, $k\int_{-\infty}^{\infty} e^{-(\s... | 5 | [
0.01043701171875,
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0.0216064453125,
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-0.06201171875,
0.03173828125,
-0.05004882812... | 25,365 | 25365 | |
A non-typable if-expression
[Prev][Next][Index][Thread]
A non-typable if-expression
• To: types <types@cs.indiana.edu>
• Subject: A non-typable if-expression
• From: Gang CHEN <Chen.Gang@ens.fr>
• Date: Wed, 01 Jul 1998 18:40:34 +0200
• Delivery-Date: Wed, 01 Jul 1998 11:49:52 -0500
Dear All,
To my surpri... | 4 | [
-0.045654296875,
-0.02392578125,
0.06005859375,
-0.055419921875,
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0.07421875,
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0.054443359375,
0.04638671875,
0.0201416015625,
0.06298828125,
-0.0... | 25,366 | 25366 | |
need help with trig proof thing!!!!!!!!!!!!
how do u prove : sec(A-B) = cos(A+B) / ( cosA^2 - sinB^2 )
Use the subtraction and addition formulas. rewrite the left side as: $\frac{1}{cosAcosB+sinAsinB}$ Multiply top and bottom by $cosAcosB-sinAsinB$ and you should be able to hammer it into the right
side. $\frac{1}{cos... | 4 | [
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0.0311279296875,
0.0059814453125,
0.03466796875,
0.0... | 25,367 | 25367 | |
Long & synthetic division
March 3rd 2009, 05:09 AM #1
Long & synthetic division
Hi Guys!
I'm new - very glad I found this. I have a prescribed textbook for my math course - in the back they only give you answers to the problems but do not show how they got the answer - so its
difficult to trace your step... | 4 | [
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0.03369140625,
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0.0634765625,
-0.121... | 25,368 | 25368 | |
Hint at solving an integral, please?
April 6th 2011, 12:18 PM #1
Hint at solving an integral, please?
Hello.
$\displaystyle \[I(p) = \int\limits_0^{ + \infty } {\frac{{{x^{p - 1}} \cdot \ln (x)}}{{x + 1}}dx} \]$
and
$\displaystyle \[\frac{d}{{dp}}I(p) = \int\limits_0^{ + \infty } {\frac{{{x^{p - 1}... | 5 | [
0.010986328125,
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0.11181640625,
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0.00509... | 25,369 | 25369 | |
Project Euler 68: Maximum string for a "magic" 5-gon ring? | MathBlog
Project Euler 68: What is the maximum 16-digit string for a “magic” 5-gon ring?
Written by Kristian on 29 October 2011
Topics: Project Euler
We have now been dealing with continued fractions for a good while, except for the last problem which w... | 5 | [
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0.0247802734375,
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-0.004547119140625... | 25,370 | 25370 | |
find the velocity vector for an object
June 16th 2012, 11:01 AM #1
Member
Joined
Aug 2011
Posts
117
find the velocity vector for an object
find the velocity vector for an object having
$\vec a(t) = e^t \hat{j} -32 \hat{k}$
if
$v(0) = 3 \hat{i} - 2 \hat{j} + \hat{k}$
Im not sure how to... | 5 | [
0.036376953125,
0.07275390625,
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0.0103759765625,
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0.12890625,
0.038818359375,
-0.0966796875,
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0.0164794921875,
0.011474609375,
-0.0439453125,
0.00616455078125,
0.... | 25,371 | 25371 | |
Differentiate using implicit differentiation
November 5th 2006, 06:15 AM #1
Newbie
Joined
Nov 2006
Posts
5
Differentiate using implicit differentiation
find dy/dx (3xy)^(1/2)=3x-2y
Can't seem to get the solution. May be making a mistake using the chain rule, but I my steps seem correct to me. Would ... | 5 | [
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0.03759765625,
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0.00860595703125,
0.0400390625,
0.035400390625,
0.072265625,
0.018798828125,
-0.08740234375,
-0.00958251... | 25,372 | 25372 | |
Math Help
December 20th 2006, 07:17 PM #1
Newbie
Joined
Dec 2006
Posts
8
z mod 6
why isnt Z mod 6 a field?
this is an extra credit problem in my pre-calc class...
I know that it must abide to the field axioms(am i right?)
but mostly i dont understand the form Z mod 6
Okay, the basic ... | 5 | [
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-0.... | 25,373 | 25373 | |
Chessboard problem. Olympiad question.
March 8th 2012, 09:48 AM #1
Chessboard problem. Olympiad question.
Place the integers $1,2,3, \ldots, n^2$(without duplication) on an $n \times n$ chessboard, with one integer per square. Show that there exist two adjacent entries such that their difference is
at least $... | 4 | [
0.07568359375,
0.03564453125,
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0.0038146972... | 25,374 | 25374 | |
Fuzzy Reliability in Spatial Databases
Advances in Fuzzy Systems
Volume 2013 (2013), Article ID 107358, 9 pages
http://dx.doi.org/10.1155/2013/107358
Research Article
Fuzzy Reliability in Spatial Databases
^1Università degli Studi di Napoli Federico II, Dipartimento di Architettura, Via Monteoliveto 3, 80134 Napoli,... | 4 | [
0.07373046875,
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-0.08056640625,
-0... | 25,375 | 25375 | |
Find each derivative in simplest factored form
December 17th 2009, 09:24 AM #1
Newbie
Joined
Sep 2009
Posts
8
Find each derivative in simplest factored form
Hi, I'm having some trouble with these problems.
1. $f(x) = 3sin(cos4x)$
2. $f(x) = 5cos(sin(sin(4x^2)))$
3. $f(x) = sin^2(3x^2)$
... | 5 | [
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0.0017547607421875,
0.01611328125,
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0... | 25,376 | 25376 | |
Synthetic Amplitude Spectrum and Its Extensions for Analyzing the Two Perpendicular Directional Vibration Displacement Signals of a Rotating Rotor
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 218576, 7 pages
http://dx.doi.org/10.1155/2013/218576
Research Article
Synthetic Amplitude Spectrum and I... | 4 | [
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0.032470703125,
... | 25,377 | 25377 | |
PDF of discrete RV sum?
October 25th 2009, 06:35 PM #1
Newbie
Joined
Oct 2009
Posts
5
Let's say I choose a number between 1-4 and the probability of choosing each number is as such:
p(1)=0.35
p(2)=0.25
p(3)=0.15
p(4)=0.25
I do this 100 times. Let X be the sum of all the numbers I pic... | 5 | [
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-0.057373046875,
0.0703125,
0.048583984375,
0.02197265625,
0.0038299560546875,
0.058837890625,
-0.060791015... | 25,378 | 25378 | |
Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors
ISRN Physical Chemistry
Volume 2013 (2013), Article ID 487240, 14 pages
http://dx.doi.org/10.1155/2013/487240
Research Article
Analytical Solution of Non-Isothermal Diffusion-Reaction Processes and Effectiveness Factors
Depa... | 5 | [
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0.00994873... | 25,379 | 25379 | |
Oh, Stuart
September 5th 2013, 08:17 PM
Hell0
Oh, Stuart
A rectangular lawn is 40m wide and 60 m long. Stuart mows all the way along the perimeter of the lawn, leaving only 1,500 square meters to be mowed in the center of the lawn. How wide is the
strip of lawn that Stuart has already mowed?
September 5th 2... | 4 | [
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Lost about a probability problem
April 22nd 2008, 12:30 AM #1
Newbie
Joined
Apr 2008
Posts
1
Lost about a probability problem
Hey there, this is such a great forum, so happy I found it! I honestly have no idea whatsoever how to solve the two problems (except for the theorem prrof, that's straight forward... | 5 | [
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0.001190185546875,
-0... | 25,381 | 25381 | |
Polynomial division vs synthetic division
April 8th 2009, 04:41 PM #1
Junior Member
Joined
Oct 2008
Posts
34
Polynomial division vs synthetic division
If I am simplifing an expression in which I cannot factor I can use polynomial division, I can also use synethic division to get the same answer. I know t... | 4 | [
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0.... | 25,382 | 25382 | |
Probability with Z Score
March 20th 2011, 12:48 PM
NecroWinter
Probability with Z Score
Hey there, I have two fairly simple questions for you, one I have an answer that id like checked, the other I need more help with :)
Women's Weight are normally distributed with a mean of 143 & a standard deviation of 29... | 4 | [
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Measurable functions
© 2001-2007 Prof. Dr. Hans Wilhelm Alt, University Bonn, Germany
Measurable functions
[chap:MeasurableFunctions]
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┯━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ This is an english version of the script│ You may switch to the original german versio... | 4 | [
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Weakly Compatible Maps Using E.A. and (CLR) Properties in Complex Valued
Journal of Complex Systems
Volume 2013 (2013), Article ID 939607, 6 pages
http://dx.doi.org/10.1155/2013/939607
Research Article
Weakly Compatible Maps Using E.A. and (CLR) Properties in Complex Valued -Metric Spaces
^1Department of Mathemati... | 5 | [
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... | 25,385 | 25385 | |
partial fraction did wrongly...
December 2nd 2009, 05:32 AM
xcluded
partial fraction did wrongly...
Hi pals , possible to check where did i went wrong ?
2 / s(1 + s^2) = A/s + B/(1 + s^2)
then , 2 = A(1 + s^2) + Bs
when s = 0 , A = 2
when s = 1 and A = 2 , B = -2
however i could not get B... | 4 | [
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Write the expression ... in the form ...
October 16th 2012, 11:41 AM
TheCracker
Write the expression ... in the form ...
I kinda don't understand that assignement, can someone help me with it please? What do I need to do?
http://imageshack.us/a/img717/650/clipboard01jzd.jpg
Uploaded with ImageShack.us... | 4 | [
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0.05224... | 25,387 | 25387 | |
Can anyone solve this algebra problem?
Need to simplify. I keep getting 1, but apparently that is wrong. Thanks in advance! Image - TinyPic - Free Image Hosting, Photo Sharing & Video Hosting
$\frac{9{y^2}-12y+4}{(3y-2)^2} = \frac{9{y^2}-12y+4}{9{y^2}-12y+4} = 1$ OR $\frac{9{y^2}-12y+4}{(3y-2)^2} = \frac{(3y-2)^2}{(3y... | 4 | [
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0.0751953125,
-0.081542968... | 25,388 | 25388 | |
How to find unit vector
July 2nd 2012, 11:19 AM #1
Member
Joined
Jan 2010
Posts
106
Thanks
2
How to find unit vector
Say for example v = <3,4>
I was taught to divide each component by the magnitude in order to get the unit vector, i.e.
3^2 + 4^2 = ||v||^2
5 = ||v||
So the unit vect... | 4 | [
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Proposition 14
Equal straight lines in a circle are equally distant from the center, and those which are equally distant from the center equal one another.
Let AB and CD be equal straight lines in a circle ABDC.
I say that AB and CD are equally distant from the center.
Take the center E of the circle ABDC. Draw EF ... | 4 | [
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... | 25,390 | 25390 | |
integral with e to the sq. x
September 3rd 2007, 04:24 PM #1
Member
Joined
Aug 2007
Posts
148
integral with e to the sq. x
Hi,
To solve the int. 1 to 4 e to the sq. x dx you would first do a u substitution, right?
u=e to the x to the 1/2
du=e to the x(1-2x to the -1/2)
Is this correct... | 5 | [
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0.0250244140625... | 25,391 | 25391 | |
model
Tusscher-Noble-Noble-Panfilov (TNNP) model
The cell membrane is modeled as a capacitor connected in parallel with variable resistances and batteries representing the different ionic currents and pumps
dV/dt = -I[ion ]/C[m] ,
where C[m] = 2 μF/cm^2 is cell capacitance per unit surface area.
Membrane currents
I[... | 4 | [
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0.0314... | 25,392 | 25392 | |
-Contractive Mappings in Partially Ordered
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 701910, 18 pages
http://dx.doi.org/10.1155/2012/701910
Research Article
On Generalized Weakly -Contractive Mappings in Partially Ordered -Metric Spaces
Department of Mathematics, Karaj Branch, Islamic Azad Univer... | 5 | [
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Exploiting geometric series with power series to find Taylors series
September 28th 2010, 05:34 PM
jegues
Exploiting geometric series with power series to find Taylors series
I'm confused between some formulae so I'm going to give some examples and you can let me know if what I'm writing is correct.
Find th... | 5 | [
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Combinatoric sequence, please help me
September 1st 2007, 07:45 AM
Ununuquantium
Combinatoric sequence, please help me
We have a integer sequence: $a_{1}$, $a_{2}$, $a_{3}$, .... and we have
$a_{1}=1$
$a_{2}=2$.
$a_{n}=3a_{n - 1}+5a_{n - 2}$
$n=3,4,5....$
Does exist integer number $x\geqslant... | 5 | [
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laplace equation
September 6th 2008, 01:41 PM
georgel
laplace equation
I have to solve this:
$\Delta u(x, y)=0$
$u(0, y)=0$
$u(x,0)=1$
I've tried separation of variables, $u(x, y)=X(x)*Y(y)$ and got $X=C*sin \lambda x$
What next?
Is that even the right way to go?
Do I have to homoge... | 5 | [
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The Shroud of Turin
November 13th 2007, 08:08 AM #1
Junior Member
Joined
Nov 2007
From
New York City
Posts
36
The Shroud of Turin
The mathematical law is that the rate of decay of C14 is proportional to the quanitity of C14. That is, C14' = -kC14.
Let t=0 be the year that the cotton for the shro... | 5 | [
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Find the indefinite integral
September 25th 2010, 10:55 AM #1
Junior Member
Joined
Feb 2010
Posts
52
Find the indefinite integral
Hi again
$\int \frac{\sqrt{x}}{x-1}~dx$
it seems none of the u subsitution of $\sqrt{x}, x-1, x$ works
some hints would be greatly appreciated =)
$x-1=\lef... | 5 | [
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Math Help
I'm pretty sure that the numbers are all divisible by 11, and therefore composite (since they are all greater than 11). I'm not sure how to prove divisibility, though. --Kevin C.
This is not true if n is a multiple of 5, because $5^5\equiv1\!\!\!\pmod{11}$ and therefore $1+5^{5k}+5^{10k}+5^{15k}+5^{20k} \eq... | 5 | [
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