content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 427827, 10 pages
http://dx.doi.org/10.1155/2013/427827
Research Article
Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays vi... | 5 | [
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0... | 24,800 | 24800 | |
Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 173461, 15 pages
http://dx.doi.org/10.1155/2014/173461
Research Article
Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces
^1Department of Mathematics, Shanghai Normal Uni... | 5 | [
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Iterative Methods for Obtaining Energy-Minimizing Parametric Snakes with Applications to Medical Imaging
Computational and Mathematical Methods in Medicine
Volume 2012 (2012), Article ID 918510, 11 pages
http://dx.doi.org/10.1155/2012/918510
Research Article
Iterative Methods for Obtaining Energy-Minimizing Parametri... | 4 | [
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State Feedback Stabilization for Neutral-Type Neural Networks with Time-Varying Discrete and Unbounded Distributed Delays
Journal of Control Science and Engineering
Volume 2012 (2012), Article ID 517157, 12 pages
http://dx.doi.org/10.1155/2012/517157
Research Article
State Feedback Stabilization for Neutral-Type Neur... | 5 | [
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Logarithmic Equation
Hi, Could anyone help me solve this...? log3 + log3 = 0 4x+1 3x Thanks
Hello, alternative! Is this what you meant? $\log_{4x+1}(3) + \log_{3x}(3) \;=\;0$ Use the Base-Change Formula: . $\frac{\ln(3)}{\ln(4x+1)} + \frac{\ln(3)}{\ln(3x)} \;=\;0$ Multiply by $\frac{\ln
(4x+1)\ln(3x)}{\ln(3)}\!:\quad ... | 4 | [
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Finding roots of functions in actuarial science
December 7, 2010
By arthur charpentier
The following simple code can be used to find roots of functions (based on the secant algorithm),
secant=function(fun, x0, x1, tolerence=1e-07, niter=500){
for ( i in 1:niter ) {
x2 <- x1-fun(x1)*(x1-x0)/(fun(x1)-fun(x0))... | 5 | [
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Trigonometric Substitution Question
January 21st 2010, 08:24 PM
Troopa
Trigonometric Substitution Question
Hello,
I am absolutely stumped on this one.
http://www.mario-kart.net/gamespy/im...Untitled-3.gif
I'm assuming all of my work is correct up until the end, but I don't know how to proceed usin... | 5 | [
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Strong Law of Large Numbers
November 10th 2009, 10:01 AM #1
Member
Joined
Oct 2008
Posts
124
Strong Law of Large Numbers
The distribution function F(z) =
{0 if z< 5
{z/10 if 5 <= z < 8
{1-e^(-z/8) if 8 <= z
is associated with the MPG of a car. Using the Strong Law of Large Numbers, what... | 4 | [
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14th Degree Polynomial Help!
October 1st 2012, 09:19 PM #1
Newbie
Joined
Sep 2012
From
Australia
Posts
17
14th Degree Polynomial Help!
I need help find all the turning points of this function:
f(x) = x^(14)-12x^(13)-21x^(12)+744x^(11)-1326x^(10)-16800x^(9)+56862x^(8)+153768x^(7)-817347x^(6)-2536... | 5 | [
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Math Help
x^11 + 1 divided by x + 1. What will be the remainder? How to do it? Thanks, Ron
If you use long division you should get $\displaystyle \frac{x^{11}+1}{x+1} = x^{10}-x^9+x^8-\dots +1$
Last edited by pickslides; February 13th 2011 at 12:19 PM. Reason: Bad Latex..
When you divide any degree polynomial and w... | 4 | [
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Extension Fields - Gallian Ch 20 - Example 1
June 4th 2011, 05:09 PM #1
Extension Fields - Gallian Ch 20 - Example 1
I am working through Gallian's book "Contemporary Abstract Algebra" (Fifth Edition) and I am on Chapter 20 - Extension Fields.
I need help with Example 1 on page 345 - see attached pdf. [My te... | 5 | [
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Separable Equation ..
February 19th 2010, 11:33 AM
Ted
Separable Equation ..
Hello.
Problem: Find the solution of the differenial equation that satisfies the given intial condition.
$\left( 2y + e^{3y} \right) \frac{dy}{dx} = x cos(x)$
The intial condition: $y(0)=0$.
My Solution:
I rewrite... | 5 | [
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continuity and differentiability
February 1st 2009, 02:25 PM #1
Newbie
Joined
Jan 2009
Posts
10
continuity and differentiability
Hello I would just like you to tell me what would be the best method to demonstrate that the function g is of class $C^1$ on the interval J(I was spoken to apply Taylor Lagrang... | 5 | [
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Analytical Method for Heat Conduction Problem with Internal Heat Source in Irregular Domains
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 173237, 4 pages
http://dx.doi.org/10.1155/2013/173237
Research Article
Analytical Method for Heat Conduction Problem with Internal Heat Source in Irregular Dom... | 5 | [
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Trig tent question
January 22nd 2013, 01:17 PM
goldbug78
Trig tent question
Okay, so this problem goes like this: A two-person tent is to be made so that the height at the center is a = 4 feet (see the figure below). If the sides of the tent are to meet the ground at an
angle 60°, and the tent is to be b = 5... | 4 | [
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Design of Attitude Control Systems for CubeSat-Class Nanosatellite
Journal of Control Science and Engineering
Volume 2013 (2013), Article ID 657182, 15 pages
http://dx.doi.org/10.1155/2013/657182
Research Article
Design of Attitude Control Systems for CubeSat-Class Nanosatellite
Department of Earth & Space Science a... | 4 | [
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Volume and Surface Area -
Read more:
"Example is better than precept."
- (Proverb)
1. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
[A]. 12^3 [B]. 15^3
[C]. 16^3 [D]. 20^3
Answer: Option
Explanation:
Clearl... | 4 | [
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the encyclopedic entry of fibrin calculus
Calculus
(
Latin
,
calculus
, a small stone used for counting) is a branch of
mathematics
that includes the study of
limits
,
derivatives
,
integrals
, and
infinite series
, and constitutes a major part of modern university education. Historically, it has been re... | 4 | [
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Analysis of Stochastic Delay Predator-Prey System with Impulsive Toxicant Input in Polluted Environments
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 139216, 9 pages
http://dx.doi.org/10.1155/2013/139216
Research Article
Analysis of Stochastic Delay Predator-Prey System with Impulsive Toxicant Input i... | 5 | [
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... | 24,818 | 24818 | |
A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations
Advances in Mathematical Physics
Volume 2013 (2013), Article ID 890784, 11 pages
http://dx.doi.org/10.1155/2013/890784
Research Article
A New Method with a Different Auxiliary Equation to Ob... | 5 | [
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0.125,
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... | 24,819 | 24819 | |
Orlando Presentation
A presentation of the following article was given at the Joint Mathematics Meetings, January 10-13, 1996, Orlando, Florida.
Carousel Numbers:
... | 5 | [
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More basic topology (couple questions)
May 4th 2011, 08:50 AM #1
Junior Member
Joined
Nov 2009
Posts
64
More basic topology (couple questions)
1) I have to prove: $(A \cup B) - (A \cap B) = (A-B) \cup (B-A)$
I know some people get annoyed by the "-" notation, but that is what my prof uses, so...
... | 4 | [
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A polynomial that factors (poly mod n) but has no roots?
July 29th 2008, 12:24 AM
Pn0yS0ld13r
A polynomial that factors (poly mod n) but has no roots?
How is it possible for a polynomial to factor (poly mod n) but have no roots? That is no integers x such that $f(x)\equiv0\bmod{n}$.
Give an example of a pol... | 4 | [
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0... | 24,822 | 24822 | |
Complex Analysis - Points of Discontinuity
Find all points of discontinuity of the function $g(z)=Arg(z^2)$. I have no idea what to do with this problem. Help!
You need to write this function as $\displaystyle u(x, y) + i\,v(x, y)$. So \displaystyle \begin{align*} z^2 &= \left(x + y\,i \right)^2 \\ &= x^2 - y^2 + 2xy\... | 4 | [
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-0.12... | 24,823 | 24823 | |
System of equations: Infinitely many, unique, or no solution.
September 18th 2011, 06:35 PM #1
Member
Joined
Sep 2010
Posts
100
System of equations: Infinitely many, unique, or no solution.
While doing problem sets, I came across this question:
Given the linear system:
$x + 2y = 10$
$3x + (6... | 4 | [
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... | 24,824 | 24824 | |
Weighted-Bit-Flipping-Based Sequential Scheduling Decoding Algorithms for LDPC Codes
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 371206, 6 pages
http://dx.doi.org/10.1155/2013/371206
Research Article
Weighted-Bit-Flipping-Based Sequential Scheduling Decoding Algorithms for LDPC Codes
School o... | 4 | [
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Z --> ZxZ Function
April 7th 2013, 07:50 PM #1
Newbie
Joined
Apr 2013
From
WA
Posts
6
Thanks
1
Z --> ZxZ Function
Hello,
I would like to define a function from Z --> ZxZ that is both onto and one to one. I think it is going to have to be a piecewise function, but I am totally lost on how to ... | 5 | [
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Australian Mathematics Competition
2 Aug 2009, 8:54 PM #27
Senior Member
Join Date
Jun 2007
HSC
N/A
Gender
Undisclosed
Posts
847
Rep Power
6
2 Aug 2009, 2:57 PM #26
Re: Westpac Maths Comp marathon
Re: Westpac Maths Comp marathon
I don't know if my methods right:
By using the conditions... | 5 | [
-0.033447265625,
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Hi my name Jhay from PHL. engr student help please [solid mensuration problem)
May 14th 2013, 03:40 AM #1
Newbie
Joined
Apr 2013
From
manila,phil.
Posts
6
Hi my name Jhay from PHL. engr student help please [solid mensuration problem)
Please Give Me the Solution and The Figure of the problem(its very ... | 4 | [
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24 Days of R: Day 24
December 24, 2013
By PirateGrunt
OK, so I phoned it in last night. Final post and maybe this one will be a bit better. Can't recall what got me thinking about it, but I was running over the issue of school performance and the
erroneous notion that small class sizes will produce better students. ... | 4 | [
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Some Properties of Quasinearly Subharmonic Functions and Maximal Theorem for Bergman Type Spaces
ISRN Mathematical Analysis
Volume 2013 (2013), Article ID 515398, 3 pages
http://dx.doi.org/10.1155/2013/515398
Research Article
Some Properties of Quasinearly Subharmonic Functions and Maximal Theorem for Bergman Type S... | 5 | [
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Clamped Cubic Spline
March 26th 2010, 01:56 AM #1
Junior Member
Joined
Jan 2010
Posts
30
Clamped Cubic Spline
A clamped cubic spline s for a function f is defined by
$s(x)=\begin{cases} s_{0}(x) = 1 + Bx + 2x^2 - 2x^3 & \text{if } 0 \le x < 1 \\ s_{1}(x) = 1 + b(x - 1) - 4(x - 1)^2 + 7(x - 1)^3 & \t... | 5 | [
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-0.0390625,
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0.03515625,
-0.007720947265625,
-0.04... | 24,831 | 24831 | |
Particle Swarm Optimization Algorithm Coupled with Finite Element Limit Equilibrium Method for Geotechnical Practices
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 498690, 14 pages
http://dx.doi.org/10.1155/2012/498690
Research Article
Particle Swarm Optimization Algorithm Coupled with Finite El... | 4 | [
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0.0529785... | 24,832 | 24832 | |
2.2 Data Abstraction
2.2 Data Abstraction
As we consider the wide set of things in the world that we would like to represent in our programs, we find that most of them have compound structure. For example, a geographic position has latitude
and longitude coordinates. To represent positions, we would like our program... | 4 | [
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Fundamental theorem of calc: trig functions
January 19th 2009, 11:50 AM #1
Member
Joined
Jan 2009
Posts
100
Fundamental theorem of calc: trig functions
anti-derivative((1-sin^2(theta))/(cos^2(theta)))d(theta) on the interval [0,pie/4] ????
sorry, I don't know the keys to put the symbols on the forum... | 5 | [
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0.07568359375,
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The Monty Hall Problem
Written by Mike James Follow
Thursday, 06 March 2014 ... | 4 | [
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Normal Incidence of Sound Transmission Loss of a Double-Leaf Partition Inserted with a Microperforated Panel
Advances in Acoustics and Vibration
Volume 2013 (2013), Article ID 216493, 8 pages
http://dx.doi.org/10.1155/2013/216493
Research Article
Normal Incidence of Sound Transmission Loss of a Double-Leaf Partition ... | 4 | [
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0.... | 24,836 | 24836 | |
Integrating by partial fractions
March 18th 2009, 04:49 PM #1
Integrating by partial fractions
I need to use partial fractions to derive the integration formula
$\int {\frac{{dx}}{{{a^2} - {x^2}}}} = \frac{1}{{2a}}\ln \left| {\frac{{a + x}}{{a - x}}} \right| + C$
So far I've broken the equation into
... | 4 | [
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0.0203857421875,
0.0566406... | 24,837 | 24837 | |
Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 197914, 7 pages
http://dx.doi.org/10.1155/2014/197914
Research Article
Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation
School of Science, Chin... | 4 | [
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help with composite rule question
Hey can anyone help me with the following question.... use the composite rule to differentiate f(x) = e^cosx+sinx thank you
composite rule is another name for chain rule isn't it? differentiate the seperate terms so $e^{cos(x)}$ diff's to $-sin(x)(e^{cos(x)})$ using the chain rule (or... | 5 | [
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0.07421... | 24,839 | 24839 | |
equations of the 2 tangent lines
find equations of 2 tangent lines passing through (2,5) f(x)= 4x-x^2 points of tangent line are (3,3) and (1,3)
Since you are given the points of tangency, that is particularly easy. If you were only given that the tangent lines went through (2, 5), it would be harder. Suppose the poin... | 4 | [
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0.12890625,
-0.047119140625,
-0.01361083984... | 24,840 | 24840 | |
Sequential Failure Analysis Using Novel Algorithms in Sequence Determination of Petri Nets Firing
Journal of Industrial Engineering
Volume 2013 (2013), Article ID 767914, 10 pages
http://dx.doi.org/10.1155/2013/767914
Research Article
Sequential Failure Analysis Using Novel Algorithms in Sequence Determination of Pet... | 4 | [
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-0.0568847656... | 24,841 | 24841 | |
Controlling the Shannon Entropy of Quantum Systems
The Scientific World Journal
Volume 2013 (2013), Article ID 381219, 13 pages
http://dx.doi.org/10.1155/2013/381219
Research Article
Controlling the Shannon Entropy of Quantum Systems
Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China... | 4 | [
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-0.0214843... | 24,842 | 24842 | |
Compilation of tips and tricks to deal with remainders.
Author Message
TAGS:
Re: Compilation of tips and tricks to deal with remainders. [#permalink] 08 Dec 2009... | 4 | [
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Trying to work through a Fibonacci problem using Binet's Formula
August 5th 2012, 08:22 PM
stephyounger
Trying to work through a Fibonacci problem using Binet's Formula
I am trying to show that the square of any Fibonacci Number differs by one from the product of its neighbors:
$(F_n)^2 - ((F_{n-1}) \times... | 4 | [
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-0.06298828125,
-0.046630... | 24,844 | 24844 | |
Mechanics - Help?
April 29th 2010, 03:27 PM
daveypi
Mechanics - Help?
A couple of mechanics questions I jsut cant get my head around;
1) A light rod of 50cm lies on a horizontal table. A person holds the end of the rod. The rod is subjected to a couple, of moment 40Nm, causing it to rotate upon the table. W... | 4 | [
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0.10009765625,
-0.0213623046875,
0.033... | 24,845 | 24845 | |
Proving Trig Formulas
May 27th 2010, 01:06 PM
orca432
Proving Trig Formulas
Hey, I have a few questions I just can't seem to get down, looking for some help here...
1) sin2x = 2csc2x-tanx
1-cos2x
2) cos(x+y)cos(x-y)=(cosx)^2 +(cosy)^2 -1
3) (cosx)^6 + (sinx)^6 = 1-3(sinx)^2 + 3(sinx)^4
Tha... | 4 | [
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0.0274658203125,
-0.10595703125,
-... | 24,846 | 24846 | |
Binary combination/permutation help
November 7th 2011, 06:41 PM #1
Newbie
Joined
Nov 2011
Posts
4
Binary combination/permutation help
Hello helpful smart community
i have some questions involving permutation/combinations and need your help.
here it goes:
im tring to find out how many diffe... | 4 | [
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0.109375,
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0.103515625,
0.0032196044921875,
-0.05175... | 24,847 | 24847 | |
Condorcet voting can fail to elect Condorcet Winner
With strategic voters, Condorcet voting can fail to elect Condorcet Winner
A myth about Condorcet voting: Although Condorcet is vulnerable to strategic voting, it supposedly is only vulnerable in cycle situations with no Condorcet winner.
The bust: In fact it is vul... | 5 | [
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0.00836181640625,
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0.09521484375,
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-0.0064697265625,
0.0049438476... | 24,848 | 24848 | |
Bifurcation diagram for quadratic maps
There is a good way to trace bifurcations on the (x, c). Let us plot iterations f[c]: x[o] = 0 → x[1] → x[2] →...→ x[MaxIt] for all real c. Colors (from blue to red) show how often an orbit visits
the pixel. You can watch iterations of f[c](x) for corresponding c values on the ri... | 4 | [
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0.05126953125,
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... | 24,849 | 24849 | |
Find the least value of n in an arithmetic sequence
Find the least value of n for which $\sum_{r=1}^n (4r-3) > 2000$
How do I do this?
Quote:
Furst thing you do is simplify it down by extracting the constants outside:
$\sum_{r=1}^n (4r-3) = 4 \sum_{r=1}^n r - \sum_{r=1}^n 3 = 4 \sum_{r=1}^n r -... | 4 | [
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0.078125,
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0.03662109375,
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-0.01007080078125,
0.0264892578125,
0.02502... | 24,850 | 24850 | |
Writing repeating decimals as fractions (complex repeating decimals)
January 19th 2010, 06:59 PM #1
Junior Member
Joined
Dec 2009
From
U.S
Posts
60
Writing repeating decimals as fractions (complex repeating decimals)
Just something I know will come in handy later on.
So ...
$1/3 = \overline{... | 4 | [
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0.0732421875,
0.03515625,
-0.0184326171875,
-0.00921630859375,
0.0888671875,... | 24,851 | 24851 | |
Musings in set theory: Reverse sets?
up vote 2 down vote favorite
1
Let the transitive closure graph of a set X be the graph G(X) with V(G)= TC({X}) and (x,y) ∈ E(G) iff x ∈ y. Let H(X) be the reverse graph of G(X) with (x,y) ∈ E(H) iff y ∈ x.
I assume that the following holds:
For every hereditarily finite set ... | 4 | [
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0.052734375,
-0.0412597656... | 24,852 | 24852 | |
Inverse of this matrix
September 15th 2013, 05:02 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Inverse of this matrix
Find the inverse of the matrix $I_n+ab^T$.
I know that I'm really suppose to work a little bit on my own first before asking questions here... But I don't really know ho... | 5 | [
-0.06396484375,
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0.0576171875,
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0.13671875,
0.01904296875,
0.0168457031... | 24,853 | 24853 | |
Example 4: Seasonal and Non-seasonal Exponential Smoothing
Example 2 discusses the analysis of a data set from the classic book on ARIMA by Box and Jenkins (1976). The data are monthly passenger totals (measured in thousands) in international air travel, for
twelve consecutive years: 1949-1960 (see Box and Jenkins, 19... | 4 | [
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0.019287109375,
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-0.0771484375,
-0.055908203125,
-0.0... | 24,854 | 24854 | |
Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-Scale Unconstrained Optimization
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 875494, 11 pages
http://dx.doi.org/10.1155/2012/875494
Research Article
Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-S... | 4 | [
-0.05859375,
0.01611328125,
-0.024169921875,
-0.076171875,
-0.006744384765625,
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0.0576171875,
0.050048828125,
0.09472... | 24,855 | 24855 | |
Generating funtion -> recurrence relation
October 12th 2010, 06:11 AM #1
Member
Joined
Sep 2009
Posts
100
Generating funtion -> recurrence relation
Hi. I have this problem.
Let $H(x)=\sum_{n\ge 0}{h_nx^n}$ and $H(x)=\frac{1-2x+2x^2}{(1-x)^2(1-2x)}$
a) Find the recurrence relation the coefficient... | 5 | [
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-0.0322265625,
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-0.072265625,
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-0.052978515625,
-0.0419921875,
0.01495361328125,
0.028076171875,
-0.... | 24,856 | 24856 | |
Determine the largest prime divisor of 87! + 88!.
Determine the largest prime divisor of 87! + 88!. These problems are so hard... (For me anyway.)
If you have n!+(n+1)! and (n+2) is prime, then (n+2) is the largest prime divisor. The next number, 89, is prime, the largest prime divisor of 87!+88! is 89. For instance, ... | 4 | [
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0.0703125,
-0.0908203125,
0.05810546875,
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0.0269775390625,
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0.0128173828125,
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-0.10400390625,
-0.1005859375,
0.0162353515625,
-... | 24,857 | 24857 | |
Integrity Design for Networked Control Systems with Actuator Failures and Data Packet Dropouts
Journal of Control Science and Engineering
Volume 2013 (2013), Article ID 327525, 9 pages
http://dx.doi.org/10.1155/2013/327525
Research Article
Integrity Design for Networked Control Systems with Actuator Failures and Data... | 4 | [
-0.04248046875,
0.0159912109375,
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0.044677734375,
0.08056640625,
-0.0390625,
... | 24,858 | 24858 | |
Combinatorics
June 13th 2011, 11:52 AM
benus
Combinatorics
Let A be a 100*100 matix such that every number of the set {1,2,.... ,100} appears exactly 100 times. prove that there exists a row or column in which there is at least 10 different numbers.
I am trying to apply the pigeonhole principle, but cant id... | 5 | [
0.0308837890625,
0.046142578125,
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0.005889892578125,
0.002746582... | 24,859 | 24859 | |
Finding acceleration from graphs (s vs t^2)
November 11th 2007, 04:47 PM #1
Member
Joined
Oct 2006
From
Toronto
Posts
86
Finding acceleration from graphs (s vs t^2)
This is a bit of a physics question but I think you guys would know it, it's for a lab, anyways:
If I知 to graph a plot of s (displa... | 4 | [
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0.1123046875,
0.057373046875,
0.0234375,
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... | 24,860 | 24860 | |
the encyclopedic entry of trig function
$P_mathrm\left\{avg\right\},!$ $= langle I\left(t\right)^2R rangle ,!$ (where $langle ldots rangle$ denotes the mean of a function)
$= Rlangle I\left(t\right)^2 rangle,!$ (as R does not vary over time it can be factored out)
... | 4 | [
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0.0184326171875,
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-0.028564453125,
0.0030975341796875,
0.018554687... | 24,861 | 24861 | |
Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 282190, 10 pages
http://dx.doi.org/10.1155/2014/282190
Research Article
Numerical Treatment of the Modified Time Fractional Fokker-Planck Equation
School of Mathematics and Statisti... | 5 | [
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-0... | 24,862 | 24862 | |
Binominal cooefficient wording of a question
August 29th 2012, 10:10 AM
uperkurk
Binominal cooefficient wording of a question
How many different 5-card hands can be dealt from a standard 52-card deck?
I've highlighted the word different because I believe it's the key to the question, am I right in thinking ... | 4 | [
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-0.07861328... | 24,863 | 24863 | |
Need help solving simple integral
February 29th 2012, 03:06 AM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
Need help solving simple integral
Wolfram Alpha gives an answer of $\frac{1}{2}$, but it doesn't give the steps. Can someone walk me through the problem or a similar problem? I believe I... | 4 | [
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0.0245361328125,
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0.00830078125,
-0.009826... | 24,864 | 24864 | |
Need an Equation
April 24th 2006, 01:34 PM
Ranger SVO
Need an Equation
I am working with some data, here is what I have
Day 1 5/1
Day 2 9/4
Day 3 25/16
Day 4 89/64
Day 5 345/256
The Denominator can be defined as (2^n/2)^2
The numerator is increasing but I am having trouble coming u... | 5 | [
-0.043701171875,
0.00982666015625,
0.0118408203125,
0.126953125,
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0.00787353515625,
0.06201171875,
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0.05810546875,
-0.07177734375... | 24,865 | 24865 | |
[Calc] How do you take the derivative of a natural logarithmic function. • /r/cheatatmathhomework
all 5 comments
[–]aamukherjee1 point2 points3 points
sorry, this has been archived and can no longer be voted on
The derivative of ln x is 1/x.
You can derive this from first principles: http://www.math.com/tables/deri... | 5 | [
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0.0142822265625,
... | 24,866 | 24866 | |
Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 139160, 8 pages
http://dx.doi.org/10.1155/2013/139160
Research Article
Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Eq... | 5 | [
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-0.07226... | 24,867 | 24867 | |
On the Nonsymmetric Longer Queue Model: Joint Distribution, Asymptotic Properties, and Heavy Traffic Limits
Advances in Operations Research
Volume 2013 (2013), Article ID 680539, 21 pages
http://dx.doi.org/10.1155/2013/680539
Research Article
On the Nonsymmetric Longer Queue Model: Joint Distribution, Asymptotic Prop... | 4 | [
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0.1044921875,
-0.0... | 24,868 | 24868 | |
Decreasing sequence Aleph's
December 24th 2009, 12:12 PM #1
I need to show: there does not exist a sequence:
$\left\langle X_n:n\in \omega \right\rangle$ such that $(\forall n)(\mathcal{P}(X_{n+1})\preceq X_n)$.
Supposing there exists such a sequence:
We can observe that for any $n\in\omega: X_n \pre... | 5 | [
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0.0067138671875,
0.0130615234... | 24,869 | 24869 | |
Random Sampling in T-SQL
This article may contain URLs that were valid when originally published, but now link to sites or pages that no longer exist. To maintain the flow of the article, we've left these URLs in the text,
but disabled the links.
Random Sampling in T-SQL
Brian Connolly
Whether you've got a gargantua... | 4 | [
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0.01513671875,
0.0615234375,
0.0234375,... | 24,870 | 24870 | |
Global Exponential Robust Stability of Static Interval Neural Networks with Time Delay in the Leakage Term
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 972608, 6 pages
http://dx.doi.org/10.1155/2014/972608
Research Article
Global Exponential Robust Stability of Static Interval Neural Networks with Ti... | 5 | [
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0.0063171386718... | 24,871 | 24871 | |
Distance from point to plane
September 4th 2009, 04:47 AM
purplerain
Distance from point to plane
Find the distance from the point [11, -10, 17] to the plane
-4478 - 283 x + 347 y + 416 z = 0
and assign your exact answer to the name TheDistance.
what i did was i multipled the variables in the plane... | 4 | [
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0.09375,
-0.0419921875,
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0.032470703125,
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-0.0034332275390625,
-0.04980... | 24,872 | 24872 | |
log derivatives
June 5th 2007, 06:22 PM #1
Member
Joined
Nov 2005
Posts
172
log derivatives
can someone check if I'm doing this right:
1.) $\frac{d}{dx} \int^{3x+2}_1 \frac{1}{t}dt$
$\frac{d}{dx} ln(3x+2)$
$\frac{1}{3x+2}*3$
ans: $\frac{3}{3x+2}$
----------------------------------... | 5 | [
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0.004547119140625,... | 24,873 | 24873 | |
Need help with confusing proportion problem
April 26th 2010, 08:25 PM #1
Member
Joined
Mar 2010
Posts
133
The thrust, T, delivered by a ship's propeller is proportional to the square of the propeller rotation speed, R, times the fourth power of the propeller diameter, D.
a) What happens to the thrust... | 4 | [
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0.075... | 24,874 | 24874 | |
Converging sequence.
November 25th 2008, 09:52 AM #1
Converging sequence.
$\sum \frac{1}{n}sin \frac{n \pi}{2}$
Prove that this sequence converges.
Tackling the $sin \frac{n \pi}{2}$ first we get:
when n=1 $sin \frac{ \pi}{2}=1$
n=2 $sin \pi=0$
n=3 $sin \frac{3 \pi}{2}=-1$
n=4 $sin 2... | 5 | [
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0.076171875,
-0.0020294189453... | 24,875 | 24875 | |
parabola homework help plz
March 2nd 2008, 10:10 AM #1
Junior Member
Joined
Mar 2008
Posts
51
parabola homework help plz
parabola equation y=3x^2+4.5
Give the coordinates of the vertex of the parabola.
What ia the axis of symmetryof the parabola?
what are the y intercepts of the parabola?
... | 4 | [
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-0.07275390625,... | 24,876 | 24876 | |
analysis help
November 7th 2009, 02:30 PM #1
Junior Member
Joined
Sep 2009
Posts
53
analysis help
Suppose that f is a continuous function on R and define a function F on [0, infinity) by f(x)= the integral of f from x to -x. Find a simple expression for F'(x).
So $F(x):=\int\limits_{-x}^xf(t)\,d... | 4 | [
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-0.0225830078125,... | 24,877 | 24877 | |
word problem using d=rt (distance = rate x time)
February 2nd 2009, 06:27 PM #1
Newbie
Joined
Jan 2009
Posts
14
word problem using d=rt (distance = rate x time)
You drove from your home to Dallas at an average spped of 60 mph and returned hom at an average speed of 45 mph. IF the total driving time was ... | 4 | [
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-0.06... | 24,878 | 24878 | |
Equivalent Trig Expressions
November 9th 2011, 04:19 PM #1
Junior Member
Joined
Aug 2011
Posts
37
Equivalent Trig Expressions
Given that tan 4pi/9=5.6713, determine the following, to four decimal places, without using a calculator. a)cot(pi/18) b)tan(13pi/9)
I got a by using a cofunction identity:
... | 5 | [
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-0.049... | 24,879 | 24879 | |
[SOLVED] Area computations in polar coordinates
March 19th 2008, 08:49 PM #1
[SOLVED] Area computations in polar coordinates
Find the area of the region that lies interior to all three circles:
$r = 1$
$r = 2cos \theta$
$r = 2sin \theta$
I graphed it, but I have problems figuring out how to solve... | 5 | [
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-0.023803710... | 24,880 | 24880 | |
Triples -- equation
April 3rd 2010, 01:38 PM #1
Member
Joined
Aug 2008
Posts
91
Triples -- equation
Seems like a problem solved, but I need help.
The point was to prove that $a^n+b^n=c^m$ - with $m,n$ relatively prime - had an infinite number of solution in positive integers $a,b,c$. I plug $a=b=2^x... | 5 | [
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-0.0... | 24,881 | 24881 | |
Epsilon
February 13th 2013, 11:16 AM
emakarov
Re: Epsilon
I agree with the definition, of course. As I described in post #11, the inequality from the definition is translated into two inequalities. One of them holds for all x > 0, and the other only
starting from some N > 0. You need to solve the second ineq... | 5 | [
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-0.025... | 24,882 | 24882 | |
-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 251705, 6 pages
http://dx.doi.org/10.1155/2013/251705
Research Article
-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
^1Department of Mathemati... | 5 | [
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-0.0242919921875... | 24,883 | 24883 | |
Scalar Equations
August 30th 2009, 07:33 AM #1
Senior Member
Joined
Nov 2008
Posts
425
Scalar Equations
Find the scalar equation of l1 in each case:
a) with point (2,-3) and parallel to l2: (x,y)=(1,3)+t(5,2)
b) with y intercept -2 and perpendicular to l2: (x,y)=(4,-1)+t(6,-5)
can someone c... | 4 | [
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0.0015869140625,
-0.03662109375,
0.049072265625,
0.1103515625,
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-0.00162506103515625,
-0.0118408203125,
-0.0615234375,
0.06689453125,
-0.1044921875,
-0.06... | 24,884 | 24884 | |
Need detailed solution
I've tried multiplying with ln then L'hospital, but couldnt get to the end.
Note that $\left(\frac{x-1}{x+1} \right)^{x+1} = \left(\frac{x+1-2}{x+1} \right)^{x+1}=\left(1+\frac{-2}{x+1} \right)^{x+1}$ let $u=x+1$ Then as $x \to \infty \implies u \to \infty$ so $\lim_{x \to \
infty}\left(\frac{x-... | 5 | [
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0.035400390625,
0.06103515625,
-0.04638671875,
0.0322265625,
0.03271484375,
-0.0556640625,
-0.05029296875,
-0.0186767578125,
-0.08691... | 24,885 | 24885 | |
Write An Equation
November 29th 2008, 09:20 PM
magentarita
Write An Equation
The volume of any spherical balloon can be found by using the formula V = (4/3) (pi)(r^3).
Write an equation for r in terms of V and pi.
November 30th 2008, 11:53 AM
masters
Quote:
Hello again,
$V=\frac{4}{3}\pi r... | 4 | [
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0.10107421875,
0.06982421875,
-0.0301513671875,
-0.026000976562... | 24,886 | 24886 | |
Application to Differential Equations
April 25th 2010, 02:05 PM #1
Junior Member
Joined
Feb 2010
Posts
30
Application to Differential Equations
A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2 matrix A has eigenvalues 4 and 2, with corresponding eigenvecto... | 5 | [
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0.0267333984375,
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... | 24,887 | 24887 | |
Measures of Growth of Entire Solutions of Generalized Axially Symmetric Helmholtz Equation
Journal of Complex Analysis
Volume 2013 (2013), Article ID 472170, 6 pages
http://dx.doi.org/10.1155/2013/472170
Research Article
Measures of Growth of Entire Solutions of Generalized Axially Symmetric Helmholtz Equation
Resea... | 5 | [
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0.021240234375,
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-0.0673828125,
-0.0673828125,
-0.0673... | 24,888 | 24888 | |
Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 541370, 7 pages
http://dx.doi.org/10.1155/2014/541370
Research Article
Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
Dep... | 5 | [
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0.05517578125,
-0.08984375,
-0.0... | 24,889 | 24889 | |
Delay-Dependent Stability Criteria for Singular Systems with Interval Time-Varying Delay
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 570834, 16 pages
http://dx.doi.org/10.1155/2012/570834
Research Article
Delay-Dependent Stability Criteria for Singular Systems with Interval Time-Varying Delay
... | 5 | [
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0.03515625,
-0.... | 24,890 | 24890 | |
Image and Kernel check please
August 28th 2010, 09:06 AM #1
Senior Member
Joined
Oct 2008
Posts
393
Image and Kernel check please
T(x1,x2,x3,x4) = (4x1-x2, 5x2 + 3x4, -x3)
Image = (4,0,0) (-1,5,0) (0,0,-1) (0,3,0)
So the vectors that form a basis are (4,0,0) (0,0,-1) (0,3,0)
Kernel
4x... | 5 | [
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0.0189208984375,
-0.0810546875,
-0.03955078... | 24,891 | 24891 | |
Simple series
January 16th 2011, 10:20 PM #1
Simple series
I'm not sure if this is worthy of the challenge section, but here goes.
Without using Taylor series/generating functions, show $\displaystyle \sum_{n=1}^\infty \frac{(-1)^n}n = -\log2$.
The MacLaurin Series for $\displaystyle \ln{(1+x)} = \sum_{... | 5 | [
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-0.0054626464843... | 24,892 | 24892 | |
Conjecture 51 : Two approximate relationships about prime numbers
Patrick Devlin sent the following two approximate relationships & assertions about them, in a communication entitled "ON THE DISTRIBUTION OF THE PRIMES"
1. ∑(p*Ln(p)) ~ ∑(n); p=2, 3, 5, 7, 11,...P; n=1,2,3,4,...P
2. ∑(Ln(p)) ~ P; p=2, 3, 5, 7, ... | 4 | [
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-0.0712... | 24,893 | 24893 | |
Growth Problems
November 11th 2012, 11:26 PM #1
Junior Member
Joined
Nov 2012
From
New Jersey
Posts
31
Growth Problems
Colony of bacteria grows at rate directly proportional to the size of the colony. The colony triples every two hours.
1. Write the differential equation describing the growth and... | 4 | [
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0.0026... | 24,894 | 24894 | |
Help with Antiderivatives
September 25th 2009, 07:53 PM #1
Senior Member
Joined
Apr 2009
Posts
253
Help with Antiderivatives
find f(x) if $f''(x)=2+cos x, f'(0)=-1, f(\pi/2)=0$
This is what I get:
$f'(x)=2x+sin x -1$
$f(x)=x^2-cos x-x+(\frac{\pi}{2})-(\frac{\pi}{2})^2$
The correct answe... | 4 | [
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0.05615234375,
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0.0693359375,
0.09326171875,
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0.00921630859375,
-0.04150390625,
-0.048095703125,
-0.06201171875,
0.0546875,
-0.081542968... | 24,895 | 24895 | |
Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 135690, 12 pages
http://dx.doi.org/10.1155/2014/135690
Research Article
Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
College of A... | 4 | [
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0.09765625,
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-0.045410... | 24,896 | 24896 | |
Uniformly continuous #2
Prove that f(x)=sin(x)/x + cos(sqrt(x)) + 10x is uniformly continuous in her domain.
Last edited by mr fantastic; January 3rd 2010 at 10:00 PM. Reason: Re-titled
It's easy to prove that for differentiable functions it is equivalent: 1) $f$ has a bounded derivative 2) $f$ is Lipschitz Since Lip... | 4 | [
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The disjunction property in Peano Arithmetic?
Take the 2-minute tour ×
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Let $\phi,\psi\in\Pi_1^0$ be independent of PA. Is the disjunction $\phi\vee\psi$ independent of PA?
lo.logic
add comment
T... | 5 | [
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Contest problem 5
March 15th 2012, 10:11 AM #1
Contest problem 5
The game Hexagon consists of some pieces, each in a shape of a regular hexagon with the area 6. Each piece is divided by lines into four right triangles, six isosceles triangles and one
quadrilateral (see the picture). What is the area of the sh... | 4 | [
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