content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Probability problems
March 2nd 2010, 03:18 AM
saberteeth
Probability problems
(Hi)
How do i solve these?
1) Two dice are thrown simultaneously. The probability that the
product of the two numbers on the two dice is an even number?
2) A bag contains red and blue marbles totaling between 50 to 1... | 4 | [
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0.050048828125,
0.01... | 24,500 | 24500 | |
Differentiation from 1st principles
January 8th 2009, 12:25 AM
dankelly07
Differentiation from 1st principles
Can anyone see where I'm going wrong here...
So differentiate from 1st principles.
f(x) = sqrt(x)+1
f'(x) = (sqrt(x+h)+1)-(sqrt(x)+1) / h
f'(x) = x+h+1-x-1 / h(sqrt(x+h)+1)+(sqrt(x)+1... | 4 | [
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0.0322265625,
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-0.04003... | 24,501 | 24501 | |
Optimal Parameter Estimation for Muskingum Model Using a CSS-PSO Method
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 480954, 6 pages
http://dx.doi.org/10.1155/2013/480954
Research Article
Optimal Parameter Estimation for Muskingum Model Using a CSS-PSO Method
^1Department of Civil Engineering, U... | 4 | [
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Limit proof
October 3rd 2008, 05:24 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Limit proof
Prove that $\lim _{n \rightarrow \infty } n^ { \frac {1}{n} } = 1$
Proof so far.
Define the sequence $\{ a_n \} = n^ { \frac {1}{n} } -1$
I want to show that $\{ a_n \} \rightarrow 0$
... | 5 | [
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Prove two double integrals are equal
January 11th 2011, 08:09 PM
mukmar
Prove two double integrals are equal
I need to prove:
$\displaystyle\int_{-\infty}^{\infty}\int_{-\infty}^{\infty} f(x - t) \frac{\partial^2\phi}{\partial x^2}(x, t) dx dt = \displaystyle\int_{-\infty}^{\infty}\int_{-\infty}^{\infty} f(x... | 5 | [
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Euler's phi function: multiplicity
May 3rd 2009, 09:43 AM #1
Newbie
Joined
May 2009
Posts
8
Euler's phi function: multiplicity
I am supposed to show that, for Euler's totient function:
a.) If n is an odd integer, then $\phi(2n)=\phi(n)$.
and
b.) If n is an even integer, then $\phi(2n)=2\phi(... | 4 | [
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Parametric points along an ellipse equation
November 10th 2006, 08:32 AM
bvdet
Parametric points along an ellipse equation
I am attempting to parametrically layout points along an ellipse in 3D space by dividing a quadrant into equally spaced radial lines from an ellipse center. I have reduced the problem to thi... | 4 | [
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Rate of Change
April 25th 2009, 06:48 PM
calc_help123
Rate of Change
The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture had 10,000 bacteria initially, 20,000 a time t1
minutes and 100,000 bacteria at (t1+10) minutes.
... | 5 | [
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Reversing Green's Theorem
April 16th 2008, 09:13 AM #1
Newbie
Joined
Mar 2008
Posts
24
Reversing Green's Theorem
Given that R is the region bounded by the curve C defined by 4x^2+9y^2=36, then by using Green's Theorem, the double integral int int x^2 dA is equal to...?
Any idea to solve it?
Gre... | 4 | [
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Geometry help
March 8th 2009, 04:36 PM
Itachi888Uchiha
Geometry help
Find the altitude (length of a segment perpendicular to both bases) of an isosceles trapezoid with sides 9,12,9,18.
How do I solve?
March 8th 2009, 05:02 PM
skeeter
Quote:
did you make a sketch? draw the height from a corner w... | 4 | [
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Relations with ø
December 11th 2009, 08:23 AM #1
Newbie
Joined
Nov 2009
Posts
23
Relations with ø
Let A=ø, and consider the empty relation, ø, on A. Which properties does ø satisfy?
Is it reflexive, irreflexive, symmetric, antisymmetric, transitive?
Use the fact that if p is false, then the sta... | 4 | [
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On Convergence of Fixed Points in Fuzzy Metric Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 135202, 6 pages
http://dx.doi.org/10.1155/2013/135202
Research Article
On Convergence of Fixed Points in Fuzzy Metric Spaces
^1School of Mathematics and Statistics, Tianshui Normal University, Tianshui ... | 5 | [
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-0.185546875,
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The 2D Dirichlet Problem for the Propagative Helmholtz Equation in an Exterior Domain with Cracks and Singularities at the Edges
International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 340310, 18 pages
http://dx.doi.org/10.1155/2012/340310
Research Article
The 2D Dirichlet Proble... | 4 | [
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PERT Three Point Estimation Technique
VN:F [1.9.22_1171]
PERT Three Point Estimate Technique
The PERT Three Point Estimate technique is a type of three point estimate. The only difference is that it applies weighting so that the most-likely estimate is weighted 4 times more than the other
two estimates (optimistic a... | 4 | [
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Generating a Linear Programming Model for Weenies and Buns
September 26th 2007, 07:22 PM #1
Newbie
Joined
Sep 2007
Posts
3
1. Weenies and Buns is a food processing plant which manufacturer’s hot dogs and hot dog buns. They grind their own flour for the hot dog buns at a maximum rate of 200 pounds per week... | 4 | [
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Wolfram Demonstrations Project
Bernstein Polynomials and Convex Bézier Sums
This Demonstration throws light on the fact that the points that form a basic Bézier curve are convex combinations of the Bézier points to : , where the coefficients are just the Bernstein
polynomials of degree and is a parameter running from ... | 4 | [
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Interpolation of Transonic Flows Using a Proper Orthogonal Decomposition Method
International Journal of Aerospace Engineering
Volume 2013 (2013), Article ID 928904, 11 pages
http://dx.doi.org/10.1155/2013/928904
Research Article
Interpolation of Transonic Flows Using a Proper Orthogonal Decomposition Method
École ... | 4 | [
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Performance Comparison of Doppler Scale Estimation Methods for Underwater Acoustic OFDM
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 703243, 11 pages
http://dx.doi.org/10.1155/2012/703243
Research Article
Performance Comparison of Doppler Scale Estimation Methods for Underwater Acoust... | 4 | [
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Coupling among Electroencephalogram Gamma Signals on a Short Time Scale
Computational Intelligence and Neuroscience
Volume 2010 (2010), Article ID 946089, 12 pages
http://dx.doi.org/10.1155/2010/946089
Research Article
Coupling among Electroencephalogram Gamma Signals on a Short Time Scale
^1Department of Statistic... | 4 | [
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Recent Developments and Applications on Discrete Fractional Equations and Related Topics
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 609861, 2 pages
http://dx.doi.org/10.1155/2013/609861
Editorial
Recent Developments and Applications on Discrete Fractional Equations and Related Topics
^1Sc... | 4 | [
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An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 381708, 19 pages
http://dx.doi.org/10.1155/2012/381708
Research Article
An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems
^1School of Mathematical S... | 5 | [
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Differentiation Application
January 10th 2007, 04:56 PM #1
Newbie
Joined
Jan 2006
Posts
20
Differentiation Application
This problem has been proving extremely tough for me. Thanks a lot for the help.
The period of a pendulum is given T=2(Pi)Squareroot(L/G) where L is the length of the Pendulum in fe... | 5 | [
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Induction w/ Fibonacci
April 7th 2010, 05:06 PM #1
Induction w/ Fibonacci
The question is prove that fn < 2^n, where fn is the nth number in the Fibonacci sequence.
I got the first steps,
For n = 3, fn = f(n-1) + f(n-2) = 1 + 1 < 2^3 = 2^n.
Assume fn < 2^n for some n. Now for n+1...
This is wh... | 4 | [
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Finding the derivative of an exponential using the difference quotient
October 28th 2008, 01:32 AM #1
Junior Member
Joined
Sep 2008
Posts
42
Finding the derivative of an exponential using the difference quotient
I'm trying to find how to take the derivative of 2^x by use of the difference quotient, rathe... | 5 | [
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rearranging equasions
May 14th 2010, 06:21 PM
henry
rearranging equasions
Morning, I have not studied maths for some time now and need some help rearranging the 2 following equations.
1. y=8-2x
2. 3y+2x=-12
Your help is appreciated
May 14th 2010, 06:35 PM
dwsmith
Quote:
How are we arr... | 4 | [
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Bodies with potential energy
January 14th 2011, 08:47 PM #1
Member
Joined
Nov 2009
Posts
94
Bodies with potential energy
Hi
I am struggling with this question. It goes like this:
A rubber ball is dropped on to flat ground from a height of 2m.
(a) Calculate how long it takes for the ball to f... | 5 | [
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Characterization of Forested Landscapes from Remotely Sensed Data Using Fractals and Spatial Autocorrelation
Advances in Civil Engineering
Volume 2012 (2012), Article ID 945613, 14 pages
http://dx.doi.org/10.1155/2012/945613
Research Article
Characterization of Forested Landscapes from Remotely Sensed Data Using Frac... | 4 | [
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Korovkin Second Theorem via
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 598963, 6 pages
http://dx.doi.org/10.1155/2013/598963
Research Article
Korovkin Second Theorem via -Statistical -Summability
^1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
^2Department of Mathemat... | 5 | [
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-0.0517578125,
-0.08154296875,
0.0576171875,
0.00897216796875,
0.... | 24,527 | 24527 | |
Radius of convergence problem
consider the rational function :
[tex]f(x,z)=\frac{z}{x^{z}-1}[/tex]
[tex]x\in \mathbb{R}^{+}[/tex]
[tex]z\in \mathbb{C}[/tex]
We wish to find an expansion in z that is valid for all x and z. a Bernoulli-type expansion is only valid for :
[tex] \left | z\ln x \right |<2\pi[/tex]
Therefor... | 4 | [
-0.036376953125,
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-0.0712890625,
-0.10888671875,
-0.032470703125,
-0.... | 24,528 | 24528 | |
Interval of Convergence
July 20th 2010, 03:51 AM #16
A product of even numbers can be reduced as:
$2(4)(6)\cdot\cdot\cdot(2n-2)(2n)= [(1)(2)][(2)(2)][(3)(2)]\cdot\cdot\cdot[(n-1)(2)][(n)(2)]$$= n!2^n$.
A product of odd numbers is more complicated- you have to put the even numbers in:
$(1)(3)(5)\cdot\... | 4 | [
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exact solutions to trig equation Cos^2(x- pi/3) = 1/2
August 9th 2012, 07:30 PM
bakerkhojah
exact solutions to trig equation Cos^2(x- pi/3) = 1/2
hello everyone im new to this forum sorry didnt have time to introduce myself as my exams are coming pretty soon and i wish someone could help me with this problem abo... | 4 | [
-0.09228515625,
-0.0089111328125,
-0.0123291015625,
0.034912109375,
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0.0322265625,
0.09765625,
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0.033203125,
-0.064453125,
0.061279296875,
-0.068359375,
0.01123046875,
-0.0319824... | 24,530 | 24530 | |
LIMITS again
March 18th 2013, 01:30 PM
ryu1
LIMITS again
Hello
Heres the problem:
It is know that f and g are defined for every x.
It is known that Attachment 27588
I am asked to prove or disprove the following statement:
Attachment 27590
Now i think you can just disprove it when bot... | 4 | [
-0.111328125,
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0.0286865234375,
0.042724609375,
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-0.021728515625,
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-0.0164... | 24,531 | 24531 | |
Uniqueness of Entire Functions concerning Difference Operator
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 240369, 9 pages
http://dx.doi.org/10.1155/2013/240369
Research Article
Uniqueness of Entire Functions concerning Difference Operator
College of Mathematics Science, Chongqing Normal University, ... | 5 | [
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0.013671875,
-0.0299072265625,
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-0.046875,
-0.0546875,
-... | 24,532 | 24532 | |
Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 501891, 17 pages
http://dx.doi.org/10.1155/2012/501891
Research Article
Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks wit... | 5 | [
-0.0751953125,
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-0.0... | 24,533 | 24533 | |
Have I done this 'show that' problem correctly?
July 8th 2010, 10:25 PM
Glitch
Have I done this 'show that' problem correctly?
The question:
Show that if $0 <= a <= b$, then $\sqrt{a} <= \sqrt{b}$
I did:
$\sqrt{0} <= \sqrt{a} <= \sqrt{b}$
$0 <= \sqrt{a} <= \sqrt{b}$
Therefore:
$\sqrt{... | 4 | [
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-0.049... | 24,534 | 24534 | |
Taylor Series on a limit
April 8th 2009, 09:03 PM #1
Newbie
Joined
Apr 2009
Posts
3
Taylor Series on a limit
I'm generally ok with these sorts of problems, but these two have me stumped. Our professor hasn't gone over these particular cases (taylor series on a limit/integral) so any help is appreciated.
... | 5 | [
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-... | 24,535 | 24535 | |
the encyclopedic entry of Constrained optimization problem
This tutorial presents an introduction to optimization problems that involve finding a maximum or a minimum value of an objective function $f\left(x_1,x_2,ldots, x_n\right)$ subject to a constraint
of the form $g\left(x_1,x_2,ldots, x_n\right)=k$.
Maximum and ... | 5 | [
-0.00421142578125,
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0.0211181640625,
... | 24,536 | 24536 | |
Inductive Proof
August 2nd 2011, 02:57 PM #1
Member
Joined
Aug 2008
Posts
225
Inductive Proof
For which integers is 3^n > n^3?
it seems to be for all but 3, but I am stuck on the proof.
Assume 3^n > n^3
n>3
Then
3^(n+1) > 3*n^3
Now what?
Re: Inductive Proof
I will help you,... | 5 | [
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0.05834960937... | 24,537 | 24537 | |
Lebesgue measure on sigma-fields of Borel sets
September 26th 2011, 08:11 PM #1
Member
Joined
Mar 2008
From
Acolman, Mexico
Posts
118
Lebesgue measure on sigma-fields of Borel sets
Hello, I am completely lost with this problem. Any guidance is greatly appreciated.
Let $\Omega=\{(x,y):0<x\leq 1,0... | 4 | [
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-0.024169921875,
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-0.01116943359375,
0.044677734375,
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0.0908203125,
0.0120849609375,
-0.... | 24,538 | 24538 | |
Existence of Nontrivial Solutions and High Energy Solutions for a Class of Quasilinear Schrödinger Equations via the Dual-Perturbation Method
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 256324, 13 pages
http://dx.doi.org/10.1155/2013/256324
Research Article
Existence of Nontrivial Solutions and High ... | 5 | [
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-0.08154... | 24,539 | 24539 | |
alternating geometric sequence manipulation
find the sum of $\Sigma_{n=1}^{\infty} \frac{2}{3} ( {\frac{-1}{4}}^{n+1} )$ help please am I allowed to multiply by $\frac{-1}{4}^{-2}$
Last edited by Intsecxtanx; November 21st 2009 at 03:30 PM.
Hello, Intsecxtanx! I hope I've guessed the problem correctly . . . Find the ... | 4 | [
-0.06640625,
-0.0673828125,
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0.05419921875,
0.07666015625,
-0.02490234375,
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0.0004177093505859375,
0.0181884765625,
-0.11669921875,
-0.0303955078125,
0.080078125,
-0.00063... | 24,540 | 24540 | |
Impulse And Momentum
Principle Of Impulse and Momentum
Impulse is defined as the integral of a force acting on an object, with respect to time. This means that impulse contains the product of force and time. Impulse changes the momentum of an object. As
a result, a large force applied for a short period of time can p... | 5 | [
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0.007354736328125,
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0.07177734375,
0.0537109375,
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0.036865234375,
0.03466796875,
-0.00848388671875,
0.00982666015625,
-0.0014953... | 24,541 | 24541 | |
question with derivative
May 2nd 2013, 11:00 AM #1
Junior Member
Joined
Mar 2013
From
israel
Posts
70
question with derivative
f is a differntiable function at [0,1] which maintains 0<=f′(x)<=1 to every x∈[0,1].
i need to prove that there's a point x∈[0,1] so
f′(x)=3x/(sqrt(3x2+6))
Re: quest... | 4 | [
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-0.0203857421875,
-0.036376953125,
0.0... | 24,542 | 24542 | |
Solving a nonhomogenous D.E.
February 2nd 2010, 09:10 PM
jrw391
Solving a nonhomogenous D.E.
(2x+y+1)y' = 1
Although this intially appeared to be a simple problem I've tried every method I know how to do on this problem and I just can't get a solution.
February 2nd 2010, 10:39 PM
Calculus26
dy/dx = 1... | 5 | [
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-0.042236328125,
-0.061767578125,
0.009582... | 24,543 | 24543 | |
A Self-Adjusting Spectral Conjugate Gradient Method for Large-Scale Unconstrained Optimization
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 814912, 8 pages
http://dx.doi.org/10.1155/2013/814912
Research Article
A Self-Adjusting Spectral Conjugate Gradient Method for Large-Scale Unconstrained Optimizat... | 5 | [
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0.02734375,
0.04028320312... | 24,544 | 24544 | |
Need Help. Confusing Equation
March 19th 2011, 12:50 PM #1
Newbie
Joined
May 2010
Posts
18
Need Help. Confusing Equation
The gievn equation is: -
P+Q = a (P-Q)
How can get this form: Q = {(a-1) / (a+1)}P from the above equation?
You'll need to get all terms with a "Q" in them on one side.
... | 4 | [
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0.... | 24,545 | 24545 | |
Complex Numbers Basics!
December 9th 2012, 07:01 PM
Tutu
Complex Numbers Basics!
Hi I'm not very sure if this is in the correct forum, but I sincerely apologize if it is not.
If a is ±3 and b is ±1,
in forming the complex number a+bi,
is it right to say that the possible combinations include -3-i an... | 5 | [
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-0.0098876... | 24,546 | 24546 | |
Fundamental Theorem of Calculus
June 27th 2006, 05:10 PM #1
Member
Joined
Dec 2005
Posts
117
Fundamental Theorem of Calculus
Need some help with FTC problems. My calculus textbook defines the FTC in two parts:
Definition Part 1:
If $f$ is a continuous function on $[a,b]$, then the function $g$ d... | 5 | [
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0.029052734375,
-0.05859375,
-... | 24,547 | 24547 | |
Cauchy Principal Value Integral
Date: 09/17/2002 at 23:33:36
From: John Harter
Subject: Improper Integral Theory
Why isn't an integral from negative infinity to positive infinity
defined as the limit as t (or any other variable) approaches infinity
of the integral from -t to t? In other words, why must we split an
in... | 4 | [
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-0.08642578125... | 24,548 | 24548 | |
the encyclopedic entry of implicit-function
In
mathematics
, an
implicit function
is a generalization for the concept of a
function
in which the
dependent variable
has not been given "explicitly" in terms of the
independent variable
. To give a function
f explicitly
is to provide a prescription for determin... | 5 | [
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-0.06640625,
-0.0791015625,
-0.0164794921875,... | 24,549 | 24549 | |
Elementary Algebra Problem - Solving Inequalities
January 28th 2010, 10:40 AM #1
Newbie
Joined
Jan 2010
From
Florida
Posts
1
Solve using the addition and multiplication principles.
x -1 < 1
2 7
The 7 is supposed to be under the 1
My math teacher was talking about using multiplicatio... | 4 | [
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0... | 24,550 | 24550 | |
Abstract Algebra
March 3rd 2008, 07:22 AM #1
anythink25
Guest
Abstract Algebra
The quaternion group Q may be defined by generators and relations as follows:
Q= <x,y | x^4 =1,y^2=x^2,yxy^-1= x^-1>
for another description let i= squareroot (-1) and take subgroup of 2x2 matrix generated by x= martix going ac... | 5 | [
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... | 24,551 | 24551 | |
Checking a metric space
April 3rd 2011, 03:52 PM
Connected
Checking a metric space
Let $(X,d)$ metric space. Let $Y=\mathcal B\mathcal C(X,\mathbb R)$ be the space of every continuous and bounded functions from $X$ to $\mathbb R.$
Prove that $h(f,g)=\underset{x\in X}{\mathop{\sup }}\,\left| f-g \right|$ is ... | 4 | [
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-0.0130615234375,
0.080078125,
-0.013305... | 24,552 | 24552 | |
Vectors - Finding the midpoint
March 9th 2011, 09:32 PM
brumby_3
Vectors - Finding the midpoint
Find the midpoint of AD.
The position vectors of points A, B, D are respectively a, b, -a+2b.
I know -a+2b is equivalent to points (-1,2), but not sure what to do from here. I know how to do it when I know t... | 4 | [
-0.06982421875,
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0.03515625,
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0.054443359375,
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0.09619140625,
-0.04443359375,
-0.059814453125... | 24,553 | 24553 | |
Shallow water
delay framerate:fps
Use your fingers or mouse to control the model (hold shift key or use mouse wheel to zoom it). Canvas is matched to your browser window.
Shallow water
The shallow-water (or Saint-Venant) equations are
h[t] + u[x] + v[y] = 0,
u[t] + (u^2/h + gh^2)[x] + (uv/h)[y] = 2ghH[x] ,
v[t] ... | 4 | [
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0.00946044921875,
-0.04638671875... | 24,554 | 24554 | |
Linear First Order PDE- Looking for an example
February 2nd 2011, 11:08 AM
bugatti79
Linear First Order PDE- Looking for an example
Hi All,
I have an examinable question that I am stuck on and obviously I cannot submit it here.
Instead I am asking if some one could provide a simple problem that demonstr... | 5 | [
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Resolution of the Identity of the Classical Hardy Space by Means of Barut-Girardello Coherent States
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 530473, 12 pages
http://dx.doi.org/10.5402/2012/530473
Research Article
Resolution of the Identity of the Classical Hardy Space by Means of Barut-Girardello Coh... | 5 | [
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Variable Structure Control of a Catastrophic Course in a High-Speed Underwater Vehicle Launched out of the Water
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 398707, 8 pages
http://dx.doi.org/10.1155/2013/398707
Research Article
Variable Structure Control of a Catastrophic Course in a High-Speed ... | 4 | [
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[SOLVED] Unit normal to the surface point
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Originally Posted by
Chris0724
Surface parametric equation given as ,
r ... | 4 | [
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ODEs, Adjoint forms and matrix representation
July 23rd 2013, 11:04 PM #1
Hi MHF members,
I was looking up in the books I have but I could not go anywhere.
Consider the higher-order ode
$L[y]:=y^{(n)}+\sum_{k=0}^{n-1}p_{n-k}y^{(k)}=0$,
which has the matrix form
$\pmb{Y}^{\prime}+\pmb{A}\pmb{Y}... | 4 | [
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-0.... | 24,559 | 24559 | |
Math Help
October 3rd 2008, 11:59 PM #1
Newbie
Joined
Oct 2008
From
Lincoln, NE
Posts
1
Big-O
Hello,
I don't understand how "k" fits into this equation. I also don't understand the significance of "C" or the relationship between the two constants (or witnesses).
I'm still thinking throug... | 5 | [
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0... | 24,560 | 24560 | |
Solving recurrence systems
May 14th 2010, 09:59 AM #1
Junior Member
Joined
Aug 2009
Posts
37
Solve the recurrence system below and dtermine a formula for the time complexity function T(n).
T(0) = 4.
T(n) = 5 + T(n - 1) (n > 0)
My effort at solving is below...
T(3) = 5 + T(2).
T(2) =... | 5 | [
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Subdividing the Trefoil by Origami
Geometry
Volume 2013 (2013), Article ID 897320, 4 pages
http://dx.doi.org/10.1155/2013/897320
Research Article
Subdividing the Trefoil by Origami
Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106-7058, USA
Received 7 November 2012; Accepted 21 Novembe... | 4 | [
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Another beginners calculus problem
October 28th 2010, 05:41 AM #1
Member
Joined
Mar 2010
Posts
175
Another beginners calculus problem
Find an $M>0$ so that every $x>M$ fulfills $\frac{6x^2-7\sin x}{3x+1} > 1000$
I've been brainstorming ideas, but it's a bit frustrating since I can't simplify the equ... | 5 | [
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Proving there are no roots to a quadratic equation
September 3rd 2011, 04:55 AM #1
Newbie
Joined
Sep 2011
From
Oxford
Posts
17
Proving there are no roots to a quadratic equation
Hello everyone,
I understand perfectly how to solve quadratic equations, but have come across a question which somewha... | 4 | [
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[SOLVED] joint density function /joint probability
November 15th 2009, 03:37 AM #1
Junior Member
Joined
Nov 2009
Posts
60
3.55 walpole
Given the joint density function
f (x,y) = 6-x-y/ 8 , 0<x<2, 2<y<4
0, elsewhere,
find P (1<Y<3|X=1).
i have got g(x)=(3-x)/4 and also f(y|x) = (6-x... | 5 | [
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cubic equation proof needed
July 10th 2010, 01:25 AM #1
Newbie
Joined
May 2010
Posts
4
Say the equation is
ax3+bx2+cx+d=0
suppose that he roots of this equation are α,β, and γ.
How to prove that,
1) α+β+γ = -b/a
2) αβγ=d/a
Start by reading this: Vieta's Formulas -- from Wolfram ... | 4 | [
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Surface Area and Volume with Cones
March 28th 2009, 08:29 AM #1
Newbie
Joined
Mar 2009
Posts
5
Surface Area and Volume with Cones
The length of each dimension of a cone is increased by 20%.
a. What is the percent increase in the surface area of the resulting figure?
b. What is the percent increas... | 4 | [
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Vectors In Component Form
April 9th 2008, 07:19 AM
Pandp77
Vectors In Component Form
Hey Everyone,
If Possible need some help with the following Question. I have attempted (1) and (2) and need some help on (3). Thanks. Any Contribution will be appreciated.
A plane can fly at 350 km/h in still air. The ... | 4 | [
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1. Properties of Inequalities
The expression `a < b` is read as
a is less than b
while the expression `a > b` is read as
a is greater than b.
The `<` and `>` signs define what is known as the sense of the inequality (indicated by the direction of the sign).
Two inequalities are said to have
(a) the s... | 4 | [
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Graphing help.
March 16th 2007, 02:59 AM #1
Graphing help.
Can someone show me how to create a graph where I can plot points for my equation problems.
I know how to make the graph ( I think) but can't seem to plot the points to show my answer for the equation that required me to show the coordinates on the ... | 4 | [
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0.00... | 24,570 | 24570 | |
The Clock Problem
February 9th 2011, 05:42 AM #1
Banned
Joined
Aug 2010
Posts
961
Thanks
98
The Clock Problem
I have a blank clock face and a single hand which moves in jumps of one radian. The hand starts at angle 0. For an arbitrary line scratched on the surface at angle alpha, and starting from 0,... | 5 | [
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Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
Advances in High Energy Physics
Volume 2013 (2013), Article ID 491648, 10 pages
http://dx.doi.org/10.1155/2013/491648
Research Article
Relativistic Bound States of Spinless Particle by the Cornell Potential Model in Exter... | 4 | [
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Eigenvalue proof
March 23rd 2009, 06:11 PM #1
Junior Member
Joined
Sep 2008
From
Wilmington NC
Posts
30
I need help with this proof
"T is a linear operator on a fin-dim vector space V
Beta is an ordered basis for V
Prove that Lambda is an eigenvalue of T iff Lambda is an eigenvalue of [T]... | 4 | [
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Writing Out Equations
Date: 12/18/97 at 16:20:21
From: Danielle
Subject: Math: Equations....ex: 6x+7=3x+16
6x+7 = 3x+16
Here's how I tried it:
I subtracted 3x from 6x and 3x and I got 3x+7 = 10.
I don't know if this is right, but I am stuck at this point.
Date: 01/05/98 at 12:35:24
From: Doctor Otavia
Subject: ... | 4 | [
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... | 24,574 | 24574 | |
Factoring
January 5th 2008, 12:02 PM
johett
Factoring
Factor:
a)64x^3+8 b)72x^3-108x^2-140x c)x^3+3x^2-6x-8
I've become so depended on my calculator that I actually forget how to factor...help! :(
Thank you
January 5th 2008, 12:22 PM
galactus
The first one is the sum of two cubes. Remember ... | 4 | [
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... | 24,575 | 24575 | |
On Stability of Fixed Points for Multi-Valued Mappings with an Application
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 978257, 5 pages
http://dx.doi.org/10.1155/2014/978257
Research Article
On Stability of Fixed Points for Multi-Valued Mappings with an Application
College of Science, Guilin Universi... | 5 | [
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the encyclopedic entry of hyperfunction
In
mathematics
,
hyperfunctions
are generalizations of functions, as a 'jump' from one
holomorphic function
to another at a boundary, and can be thought of informally as
distributions
of infinite order. Hyperfunctions were introduced by
Mikio Sato
in 1958, building upon... | 4 | [
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... | 24,577 | 24577 | |
New Convergence Definitions for Sequences of Sets
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 852796, 6 pages
http://dx.doi.org/10.1155/2013/852796
Research Article
New Convergence Definitions for Sequences of Sets
^1Faculty of Education, Mathematics Education Department, Cumhuriyet University, Siva... | 5 | [
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... | 24,578 | 24578 | |
Research on the Comparison Analyses of Three-Phase Discrete and Integrated LC Filters in Three-Phase PV Inverter
International Journal of Photoenergy
Volume 2013 (2013), Article ID 217023, 14 pages
http://dx.doi.org/10.1155/2013/217023
Research Article
Research on the Comparison Analyses of Three-Phase Discrete and I... | 4 | [
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A Facial Expression Parameterization by Elastic Surface Model
International Journal of Computer Games Technology
Volume 2009 (2009), Article ID 397938, 11 pages
http://dx.doi.org/10.1155/2009/397938
Research Article
A Facial Expression Parameterization by Elastic Surface Model
Graduate School of Engineering, Hiroshi... | 4 | [
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rate of change
February 6th 2010, 08:16 AM #1
Newbie
Joined
Aug 2009
Posts
19
rate of change
Hey, I'm doing some homework and I'm a little confused with this question.
Find the rate of change of the volume V of a cube with respect to
(a) the length w of a diagonal on one of the faces.
(b) th... | 4 | [
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0.002899169921875,
-0.054931640625,
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0.021728515625,
-0.0150146484375,
0.06689453125,
-0.0203857421875,
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0.091796875,
-0.0140380859375,
0.06005859375,
0.0023040771484375,
0.... | 24,581 | 24581 | |
Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 931695, 9 pages
http://dx.doi.org/10.1155/2013/931695
Research Article
Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems
State Key ... | 4 | [
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-0.... | 24,582 | 24582 | |
Unbounded Solutions of Asymmetric Oscillator
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 218346, 6 pages
http://dx.doi.org/10.1155/2013/218346
Research Article
Unbounded Solutions of Asymmetric Oscillator
College of Science, Hebei University of Engineering, Handan 056038, China
Received 4 July 2013... | 5 | [
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Angular Velocity
January 16th 2011, 04:10 AM #1
Newbie
Joined
Dec 2010
Posts
8
Angular Velocity
Need help on this please folks, it has got me stumped.
1. 1. A body of mass m kg is attached to a point by string of length 1.25m. If the mass is rotating in a horizontal circle 0.75m below the point of a... | 4 | [
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0.022949... | 24,584 | 24584 | |
Page:EB1911 - Volume 08.djvu/836
From Wikisource
This page has been
proofread
, but needs to be
validated
.
to Greenland and Spitsbergen; and in 1824-1831, Captain Henry Foster (who met his death by drowning in Central America) experimented at sixteen stations; his observations were completed by Francis
Baily in... | 4 | [
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0.04931640625,
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How long before someone wins the lottery twice?
1. The problem statement, all variables and given/known data
The chance of winning the Uk lottery is 49C6 = 1 in 13,983,816
So the chance of winning the lottery twice with two tickets is 1 in 195,547,109,856
But what is the chance of anyone person winning the lottery twi... | 4 | [
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... | 24,586 | 24586 | |
[SOLVED] Help solving an equation
April 26th 2009, 03:18 PM #1
Newbie
Joined
Apr 2009
Posts
4
[SOLVED] Help solving an equation
I haven't done any algebra in years and I need to solve the following equation for x. Can anyone help me, or at least tell me how to go about it.
237.7y + xy - 7.5x = 0
... | 4 | [
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-0.02197265625,
-... | 24,587 | 24587 | |
Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 390132, 7 pages
http://dx.doi.org/10.1155/2013/390132
Research Article
Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-P... | 5 | [
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0.005157470703125,
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0.0137939453125,
-0.0... | 24,588 | 24588 | |
Value Distribution of Meromorphic Solutions and Their Derivatives of Complex Differential Equations
ISRN Mathematical Analysis
Volume 2013 (2013), Article ID 497921, 5 pages
http://dx.doi.org/10.1155/2013/497921
Research Article
Value Distribution of Meromorphic Solutions and Their Derivatives of Complex Differential... | 5 | [
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... | 24,589 | 24589 | |
Simplish trig identity problems
November 9th 2007, 11:57 AM #1
Newbie
Joined
Jun 2007
Posts
6
Simplish trig identity problems
Prove -
1) $sec (u) + tan (u) = \frac {1} {sec(u) - tan(u)}$
2) $sec (u) + cosec (u)cot(u) = sec(u)cosec^2(u)$
3) $sin^2 (u)(1+sec^2 (u) ) = sec^2 (u) - cos^2 (u)$
... | 4 | [
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...Rate of Change...
December 8th 2007, 08:13 AM
Super Mallow
...Rate of Change...
Well, Finals are coming up so I'm reviewing, and I'm already in need of some help!
This problem isn't hard, I just can't remember how to do it.
1) In exercise 1, find the average rate of change of the function over the g... | 5 | [
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... | 24,591 | 24591 | |
Analytic funtions
May 9th 2013, 06:58 AM
Brennox
Analytic funtions
So im pretty sure i got part 1. 3 is the magnitude and its to the power of (5/6)(pi)i
Please help with the following questions cheers.
May 9th 2013, 07:38 AM
ebaines
Re: Analytic funtions
Hint for 2 and 3:
$e^{ix} = \cos (x) + i... | 5 | [
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0.05859375,
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-0.11572265625,
0.0201416015625,
-0... | 24,592 | 24592 | |
Some Regularity Criteria for the 3D Boussinesq Equations in the Class
ISRN Applied Mathematics
Volume 2014 (2014), Article ID 564758, 4 pages
http://dx.doi.org/10.1155/2014/564758
Research Article
Some Regularity Criteria for the 3D Boussinesq Equations in the Class
School of Mathematics and Computer Science, Gannan... | 5 | [
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0.003753662109375,
-0.03198242... | 24,593 | 24593 | |
Solving a trig equation
November 24th 2009, 10:10 AM #1
Member
Joined
May 2005
From
I LIVE IN QUEBEC,CANADA
Posts
82
Find, to the nearest degree, all values of theta in the interval 0° ≤ theta < 360°
that satisfy the equation 3 cos 2theta + sin theta – 1 = 0.
Last edited by mr fantastic; Marc... | 4 | [
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... | 24,594 | 24594 | |
compound interest
September 24th 2006, 12:19 PM
imthatgirl
compound interest
if $500 was invested at 8%/a, compounded annually, in one account, and $600 was invested at 6%/a, compounded annually, in another account, then when would the amounts in both accounts be equal?
September 24th 2006, 02:06 PM
CaptainBla... | 4 | [
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-0.1171875,
0.02722167... | 24,595 | 24595 | |
Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 984259, 12 pages
http://dx.doi.org/10.1155/2013/984259
Research Article
Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces over N... | 5 | [
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0.00311279296875,
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-0.0042724609375,
0.041748... | 24,596 | 24596 | |
Evaluation a non-linear series?
How do I evaluate $\sum_{n=1}^{20} (2^n - 1)$ without havng to add up each element? Thanks
Quote: Originally Posted by chancey This is a geometric series. --- $(2^1+2^2+...+2^{20})-(1+1...+1)$ Thus, $2(1+2+2^2+...+2^{19})-20$ Use geometric sum formula, $2(2^{20}-1)-20$ Simplify, $2^{21}... | 4 | [
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0.0654296875,
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-0.01287841796875,
0.037353... | 24,597 | 24597 | |
Inner product with perpendicular unit vectors
March 17th 2010, 06:36 PM
uberbandgeek6
Inner product with perpendicular unit vectors
Note: I'm using (A^T) for the transpose of A.
Problem: Find (A^T)A (the inner product of A with itself) if the columns of A are unit vectors, all mutually perpendicular.
M... | 4 | [
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0.0162353515625,
-0.09521484375,
0.01953125,
-0.00087738037109375,
-0.03063... | 24,598 | 24598 | |
Series convergence
$\sum_{n=1}^{\infty}\frac{(-1)^n}{\sqrt[3]{n}}$ By the alternating series test since $\forall{n}>0,\frac{1}{\sqrt[3]{n}}>\frac{1}{\sqrt[3]{n+1}}$ so for an arbitrary value we have showed that for
every value greater than that value that $a_{n+1}<a_n$ Now we must show that $\lim_{n\to\infty}\bigg|\fra... | 5 | [
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0.0294189453125,
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0... | 24,599 | 24599 |