content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Proving the general solution of a differential equation
Prove that the general solution to the differential equation, $\frac{dy}{dx}=\frac{k}{xhy}$ is $y^2=lnCx^n$ where $k, h, C and n$ are constants.
$\frac{dy}{dx}=\frac{k}{xhy}$
$\int{y}dy=\int\frac{A}{x}dx$ where $A=\frac{k}{h}$
$\frac{1}{2}y^2=Al... | 5 | [
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0.01123046875,
... | 25,700 | 25700 | |
Division-Free Multiquantization Scheme for Modern Video Codecs
Advances in Multimedia
Volume 2012 (2012), Article ID 302893, 10 pages
http://dx.doi.org/10.1155/2012/302893
Research Article
Division-Free Multiquantization Scheme for Modern Video Codecs
Department of Electrical and Computer Engineering, University of ... | 4 | [
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-0.028... | 25,701 | 25701 | |
Limit of two convergent sequences
Let xn, yn be two convergent sequences. Show that limn-->∞xnyn exists.
Since the sequences converge, they have (finite) limits. Let $\displaystyle \lim_{n \to \infty} x_n = x$ and $\displaystyle \lim_{n \to \infty} y_n = y$ We will not only show that the limit of the
product exists, b... | 4 | [
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medians....hypotenuse.....yeah
March 19th 2007, 01:04 AM #1
Newbie
Joined
Feb 2007
Posts
2
medians....hypotenuse.....yeah
Next topic is geometry....in class. I'm trying to get a head start before I'm left in the dust........again.
Given the points A(-1,1), B(-2,-2) and C(4,0) as the vertices of a tr... | 4 | [
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Sum of reciprocals of squarefree numbers
June 15th 2009, 09:55 PM #1
Sum of reciprocals of squarefree numbers
This one is for fun. I'll give my solution later.
Let $S$ be the set of squarefree positive integers. Show, as simply as you, can that $\sum_{s \in S} \frac{1}{s} = \infty$.
Of course an instant ... | 5 | [
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help derive exponential function from limited information
December 5th 2009, 09:47 AM #1
Newbie
Joined
Dec 2009
Posts
5
Hello, nice to meet you all, I've been working on a spreadsheet that requires me to create a function to determine a value from a exponential curve where the area of the curve is variabl... | 5 | [
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Univalent Logharmonic Mappings in the Plane
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 721943, 32 pages
http://dx.doi.org/10.1155/2012/721943
Research Article
Univalent Logharmonic Mappings in the Plane
^1Department of Mathematics, American University of Sharjah, P.O. Box 26666, Sharjah, UAE
^2Scho... | 4 | [
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the encyclopedic entry of Ordinal collapsing function
In
mathematical logic
and
set theory
, an
ordinal collapsing function
(or
projection function
) is a technique for defining (
notations
for) certain
recursive large countable ordinals
, whose principle is to give names to certain ordinals much larger tha... | 4 | [
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[SOLVED] Vectors - Linear independence
March 28th 2010, 11:58 AM
mybrohshi5
[SOLVED] Vectors - Linear independence
The vectors
v = $\begin{bmatrix}0\\3\\-6\\ \end{bmatrix}$$u = \begin{bmatrix}-1\\3\\-22+k\\ \end{bmatrix}$$w = \begin{bmatrix}-2\\8\\-22\\ \end{bmatrix}$
are linearly independent if and on... | 4 | [
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Limit, Limit Superior, and Limit Inferior of a function
September 3rd 2009, 12:28 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Limit, Limit Superior, and Limit Inferior of a function
Prove that $\lim _{x \rightarrow a } f(x) = \alpha$ if and only if $\limsup _{x \rightarrow a} f(x) = \liminf... | 5 | [
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Determining a Galois Group
March 1st 2011, 08:46 PM #1
Determining a Galois Group
I am trying to compute the Galois group for the polynomial $x^4-6x^2+7$, but I'm having a bit of trouble. I know that $x^4-6x^2+7=(x^2-(3-\sqrt{2}))(x^2-(3+\sqrt{2}))$ over $\mathbb{Q}(\sqrt{2})$
. The polynomial will then split... | 5 | [
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Polynomials with integer coefficients - the GCD identity
November 4th 2012, 12:45 AM #1
Polynomials with integer coefficients - the GCD identity
I am reading Anderson and Feil on the Factorization of Polynomials - Section 5.3 Polynomials with Integer Coefficients
A&F point out that some of the therems they h... | 5 | [
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The three hands of a clock can never divide the face equally, 120 degrees between each hand. • /r/math
all 22 comments
[–]Godspiral24 points25 points26 points
sorry, this has been archived and can no longer be voted on
If we redefined the second such that there were 120 per minute or any other number, what is the sm... | 4 | [
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Why pictures are so important when modeling data?
October 31, 2012
By arthur charpentier
(bis repetita) Consider the following regression summary,
Call:
lm(formula = y1 ~ x1)
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.0001 1.1247 2.667 0.02573 *
x1 0.5001 0.1179 4.24... | 4 | [
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Thermodynamic Analysis of Evaporation of Levitated Binary and Ternary Liquid Fuel Droplets under Normal Gravity
ISRN Thermodynamics
Volume 2012 (2012), Article ID 167281, 10 pages
http://dx.doi.org/10.5402/2012/167281
Research Article
Thermodynamic Analysis of Evaporation of Levitated Binary and Ternary Liquid Fuel D... | 4 | [
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Asymmetrical Gating with Application on Maneuvering Target Tracking
Applied Computational Intelligence and Soft Computing
Volume 2012 (2012), Article ID 670485, 8 pages
http://dx.doi.org/10.1155/2012/670485
Research Article
Asymmetrical Gating with Application on Maneuvering Target Tracking
Faculty of Electrical Eng... | 4 | [
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the encyclopedic entry of finite automata
In
quantum computing
,
quantum finite automata
or
QFA
are a quantum analog of
probabilistic automata
. They are related to
quantum computers
in a similar fashion as
finite automata
are related to
Turing machines
. Several types of automata may be defined, includin... | 4 | [
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the encyclopedic entry of Hadamard factorization theorem
In
mathematics
, the
Weierstrass factorization theorem
in
complex analysis
, named after
Karl Weierstrass
, asserts that
entire functions
can be represented by a product involving their
zeroes
. In addition, every sequence tending to infinity has an a... | 4 | [
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Separable Equations
August 11th 2010, 01:20 AM
dreamx20
Separable Equations
The questions are read solve the differential equation
a) sec(x)(dy/dx)=e^(y+sinx)
b)dy/dx= e^(2x-y)/e^(x+y)
For a all i could do was separate the right side to e^y +e^sinx while for b) I simplified to e^(x-2y). I am trying... | 5 | [
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CP-Based SBHT-RLS Algorithms for Tracking Channel Estimates in Multicarrier Modulation Systems
Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 452806, 12 pages
http://dx.doi.org/10.1155/2012/452806
Research Article
CP-Based SBHT-RLS Algorithms for Tracking Channel Estimates in Multicarri... | 4 | [
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The Ancestry of Genetic Segments
ISRN Biomathematics
Volume 2012 (2012), Article ID 384275, 8 pages
http://dx.doi.org/10.5402/2012/384275
Research Article
The Ancestry of Genetic Segments
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614-0506, USA
Received 21 November 2011; Accepted 4 Ja... | 4 | [
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Software Project Management Meets Six Sigma
Learning to reduce project duration can be critical, but it could be more important to reduce the predicted-to-actual project duration gap (the variation). That gap is a particularly familiar enemy
in the software world, causing problems with project cost, disappointed custo... | 4 | [
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Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 236562, 21 pages
http://dx.doi.org/10.1155/2012/236562
Research Article
Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with... | 5 | [
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Re: Finite group of order 4n+2 then elements of odd order form a subgroup.
December 5th 2012, 03:07 AM
abhishekkgp
Re: Finite group of order 4n+2 then elements of odd order form a subgroup.
Let $G$ be a finite group of order $4n+2$ for some integer $n$. Let $g_1, g_2 \in G$ be such that $o(g_1)\equiv o(g_2) \equ... | 4 | [
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Problem based learning
January 16th 2006, 07:08 AM #1
Newbie
Joined
Jan 2006
Posts
2
I am not really sure what type of question is this. The question is below. Thank you.
A hollow hemispherical bowl of radius 4cm has a smaller solid spherical marble of radius 1cm at the bottom. If the bowl is filled ... | 4 | [
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0.060546... | 25,724 | 25724 | |
Math Help
October 24th 2006, 02:41 AM #1
Newbie
Joined
Jan 2006
Posts
20
Limit of e
Let f be the function given by f(x)=2xe^(2x)
a) Find Lim as x reaches infinity and negative infinity (i.e. Lim )
x->infinity/-infinity
b) What is the range of f?
Thanks a lot for the help, e always con... | 5 | [
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er
Differentiation at bytecode instructions level
Nabla computes the derivatives by applying the classical differentiation rules at bytecode level. When an instance of a class implementing UnivariateFunction is passed to its differentiate method,
Nabla tracks the mathematical operations flow that leads from the t para... | 5 | [
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Total Least Squares Method for Robust Source Localization in Sensor Networks Using TDOA Measurements
International Journal of Distributed Sensor Networks
Volume 2011 (2011), Article ID 172902, 8 pages
http://dx.doi.org/10.1155/2011/172902
Research Article
Total Least Squares Method for Robust Source Localization in S... | 4 | [
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0.06640625,
-0.0654296875,
-0.091796875,
-0.004974365234375,
0.0869140625,
0.03271484375,
0... | 25,727 | 25727 | |
Statefinder Diagnostic for Variable Modified Chaplygin Gas in LRS Bianchi Type I
Advances in Mathematical Physics
Volume 2012 (2012), Article ID 714350, 11 pages
http://dx.doi.org/10.1155/2012/714350
Research Article
Statefinder Diagnostic for Variable Modified Chaplygin Gas in LRS Bianchi Type I Universe
Departmen... | 4 | [
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Basis in dual space
February 15th 2008, 05:38 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Basis in dual space
Let $V = \mathbb {R} ^{3}$, define f, g, h in V* by $f(x,y,z) = x-2y ,g(x,y,z)=x+y+z , h(x,y,z)=y-3z$.
Prove that {f,g,h} is a bsis for V*, then find a basis for V.
My wor... | 4 | [
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Images, Ranges question...
September 27th 2008, 05:56 PM #1
Newbie
Joined
Sep 2008
Posts
14
Last question for the night!
Let V and W be vector spaces and T: V --> W be linear.
a) Prove that T is 1-1 if and only if T carries linearly independent subsets of V onto linearly independent subsets of ... | 5 | [
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intersection of graphs
February 4th 2010, 08:42 AM #1
Senior Member
Joined
Oct 2009
Posts
459
intersection of graphs
I need to find the points of intersection of sin 2x and sin 4x in degrees. I can do this kind of question but this one is difficult.
Use the identities for sin(4x) and sin(2x)
$\... | 4 | [
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Galois Group of some polynomials of low degree
May 2nd 2008, 09:04 PM #1
Junior Member
Joined
May 2007
Posts
33
Galois Group of some polynomials of low degree
Okay, I still having some trouble with finding Galois group.
Let's say that I wish to find the Galois group of $f(x)=x^4+1$ over $\mathbb{Q}$... | 5 | [
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Sample size and power analysis in medical research Zodpey SP - Indian J Dermatol Venereol Leprol
RESEARCH METHDOLOGY
Year : 2004 | Volume : 70 | Issue : 2 | Page : 123-128
Sample size and power analysis in medical research
Zodpey SP
Clinical Epidemiology Unit, Department of Preventive and Social Medicine, Government ... | 5 | [
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trig proofs
May 23rd 2010, 07:06 PM #1
Newbie
Joined
Oct 2008
Posts
23
trig proofs
I am having difficulty getting past the first step of solving this problem, can someone help me or check this for me? Thank you
Original Problem: sin(x)^2 - sin(x)^4 = cos(x)^2 - cos(x)^4
$\sin^2{x} - \sin^4{x} =... | 4 | [
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... | 25,734 | 25734 | |
Surface area of revolution using a parametrization
March 4th 2010, 08:11 PM #1
Member
Joined
Nov 2008
Posts
76
Surface area of revolution using a parametrization
Hi, the question is attached below.
Attempt at solution
Surface area = 2*pi*r*ds = 2*pi*integral (from 1 to 2) of x^3*sqrt(1+9x^4)dx
... | 5 | [
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How the Heck do you Convert Real Numbers to Radian
February 10th 2006, 07:15 AM #1
Member
Joined
Dec 2005
Posts
117
How the Heck do you Convert Real Numbers to Radian
I know how to convert degree to radian vice versa. But how would you convert a real number to radian measure?
I was thinking about th... | 4 | [
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On the Topic of Integrodifferential Equations [x-post from Math] • /r/puremathematics
On the Topic of Integrodifferential Equations [x-post from Math] (self.puremathematics)
submitted by IronEngineer
sorry, this has been archived and can no longer be voted on
I am currently working on publishing a research endeavor ... | 5 | [
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Cocktail Shaker
Cocktail Shaker Sort
In the following, we see how the primitive approach of BubbleSort can be considerably improved, by adding a few simple twists:
Legend:
pink: greater value in current comparison
red: smaller value in current comparison
blue: the part that is already sorted
We added two twists to ... | 4 | [
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Inclusions Problems and Fixed-Point Problems of a Countable Family
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 816529, 26 pages
http://dx.doi.org/10.1155/2012/816529
Research Article
Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable ... | 5 | [
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Pro Sound Web
Information that's truly at the heart of everything we do when working with sound...
March 31, 2014, by Neil Thompson Shade
Let’s have a look at sound particles, acoustic pressure, propagation medium density, particle velocity, acoustic energy, volume velocity, and acoustic impedance.
Abstract concepts... | 4 | [
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Math Help
December 23rd 2010, 02:22 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
u_{xx}-u=0
Find the general solution to $u_{xx}-u=0$
The solution is $\displaystyle u(x,y)=f(y)e^x+g(y)e^{-x}$
How is this obtained?
Thanks.
I solved the first part:
... | 5 | [
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Sherril M. Stone, Ph.D.
Department of Family Medicine
OSU-College of Osteopathic Medicine
Basic Terms
Correlation Ð statistical technique that describes degree of relationship between 2 variables
Regression Ð technique that uses data to write an equation for a straight line.
The equation then is used to make ... | 4 | [
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-0.00692749023... | 25,742 | 25742 | |
Design of a Mathematical Unit in FPGA for the Implementation of the Control of a Magnetic Levitation System
International Journal of Reconfigurable Computing
Volume 2008 (2008), Article ID 634306, 9 pages
http://dx.doi.org/10.1155/2008/634306
Research Article
Design of a Mathematical Unit in FPGA for the Implementati... | 4 | [
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0.... | 25,743 | 25743 | |
[SOLVED] Arithmetic and Geometric progressions
February 25th 2009, 01:49 AM #1
Newbie
Joined
May 2008
Posts
20
[SOLVED] Arithmetic and Geometric progressions
Having a bit of trouble when it comes to these questions, any help is very much appreciated
Q1. Programming languages such as miranda and Q us... | 4 | [
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... | 25,744 | 25744 | |
Binomial expansion comparison with legendre polynomial
April 15th 2012, 08:12 PM #1
Newbie
Joined
Mar 2012
From
United States
Posts
5
Binomial expansion comparison with legendre polynomial
Hi,
I've been working on this question which asks to show that
${{P}_{n}}(x)=\frac{1}{{{2}^{n}}n!}\fra... | 4 | [
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Sigma Algebra Exercise
August 17th 2011, 06:07 AM
osodud
Sigma Algebra Exercise
Hello
Could you plese help me on this exercise?
Let F1 and F2 two sigma algebras of subsets of $\Omega$ and $F1\subseteq{F2}$
Prove that $F1\cup{F2}$ is a sigma algebra.
August 17th 2011, 06:35 AM
girdav
Re: Sigma Al... | 4 | [
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-0.033447265625,
-0.0620... | 25,746 | 25746 | |
Funny statistics in stock market data
UPDATE: The current Github version of the backtest is a bit broken: there was a silly bug that caused the algo to "see" 1 min into the future. Also, the overnight effects/ jumps in the morning kinda
ruin the intraday trades, so I'm currently rewriting the code for 1 sec bar bid/ask... | 4 | [
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0.06591796875,
-0.0008468627... | 25,747 | 25747 | |
Using De Moivre's Theorem
Using De Moivre's Theorem find all the solutions (z) to he equation: Z^6-1=jroot3 j being the imaginary number
So z^6 = 1 + i*sqrt(3) Can you write the right side in polar/trig form? z^6 = 2[cos(60) + i*sin(60)]
De moivre's theorem; Z^n=r^n[cos(n theta) + i sin (n theta)] The answers that im... | 5 | [
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0.0510... | 25,748 | 25748 | |
Linear transformation and indepence problem
January 29th 2008, 10:40 PM #1
Linear transformation and indepence problem
I am having trouble with a problem and am in need of some help.
V & W are vector space, and T:V->W is linear.
T is 1 to 1 and S is a subset of V. Prove that S is linearly independent if a... | 4 | [
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... | 25,749 | 25749 | |
Powered fractions
What are the steps to solve this problem? x^(2/3) - x^(1/3) - 6 = 0
This is actually a quadratic equation in $x^{1/3}$. Recalling the laws of indices we can say that $x^{2/3} = \left(x^{1/3}\right)^2$ To illustrate the point let $u = x^{1/3}$ - thus we have $u^2-u-6=
0$ Solve the quadratic using your... | 4 | [
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-0.0859375,
... | 25,750 | 25750 | |
Prove two areas of triangle by midpoint are equal
February 24th 2011, 07:54 AM #1
Newbie
Joined
Jan 2011
Posts
15
Prove two areas of triangle by midpoint are equal
Here is the question: suppose ABC is a right triangle with the right angle at C. Let M be the midpoint of the segment AB. Prove that the area... | 4 | [
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... | 25,751 | 25751 | |
[SOLVED] Use H-definition to compute the dervative
Last edited by mr fantastic; May 3rd 2009 at 08:54 PM. Reason: Added post title to post body.
Unless you're referring to the limit process this is all I could drudge up anywhere near "h-definition." Here's to just in case. $\frac{f(x + h) - f(x)}{h}$ $\frac{(3(x + h) ... | 5 | [
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0.069335937... | 25,752 | 25752 | |
Permutations and Abelian Group proof.
February 17th 2010, 11:53 AM #7
February 17th 2010, 11:51 AM #6
Newbie
February 17th 2010, 11:43 AM #5
MHF Contributor
February 17th 2010, 11:41 AM #4
February 17th 2010, 11:38 AM #3
Newbie
February 17th 2010, 11:31 AM #2
February 17th 2010, 10:02 AM #1
Newbie
okay I as... | 4 | [
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0.... | 25,753 | 25753 | |
derivative of the inverse
January 28th 2010, 12:03 PM
calculushelp
derivative of the inverse
Would I be able to take the inverse of 2 first and then enter into f '(x) or do I have to replace f(x) with y(y=sqrt...) and then x with y(x=sqrt..) and solve for y? I'm sorry if its confusing.
Here is the problem:
... | 4 | [
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0.042724609375,
-0.041015625,
-0.0017547607421... | 25,754 | 25754 | |
Just can't figure it out!
November 13th 2011, 01:12 AM #1
Newbie
Joined
Nov 2011
Posts
1
Just can't figure it out!
Doesn't matter what I try I just can't get this one right...
The problem: If you had to repeat a certain word a few hundred times eg. bafana in a single line: bafanabafanabafanabafana..... | 4 | [
-0.0830078125,
0.0146484375,
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0.01165771484375,
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-0.048828125,
0.007293701171875,
0.012939453125,
-0.06884765625,
0.0... | 25,755 | 25755 | |
Order of the Centre of a Subgroup
March 1st 2010, 09:39 PM #1
Order of the Centre of a Subgroup
I've been racking my brain over this problem:
Let $G$ be a group of order $p^n$
Prove the Center of $G$ cannot have order $p^{n-1}$
Naturally, I assume for a contradiction that $|Z(G)| = p^{n-1}$
By L... | 4 | [
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0.109375,
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0.0113525390625,
-0.00830078125,
-... | 25,756 | 25756 | |
Burnsides Theorem
October 15th 2009, 05:32 AM #1
Burnsides Theorem
Using Burnsides Theorem
How many distinguishable regular octagons can be painted if each edge of a octagon is painted one of eleven colours and different edges can be the same colour?
the symmetric group of a regular octagon is $D_8,$ th... | 5 | [
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Prime numbers
From HaskellWiki
(Difference between revisions)
← Older edit (bitwise prime sieve with template haskell)
Newer edit... | 4 | [
-0.0299072265625,
0.099609375,
0.0130615234375,
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0.054443359375,
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-0.033203125,
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0.0281982421875,
-0.040283... | 25,758 | 25758 | |
the encyclopedic entry of Dominator (graph theory)
In computer science, in control flow graphs, a node d dominates a node n if every path from the start node to n must go through d. Notationally, this is written as d dom n (or sometimes d $gg$n). By
definition, every node dominates itself.
There are a number of relate... | 4 | [
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... | 25,759 | 25759 | |
help with an exponential function
March 4th 2009, 01:24 AM #1
Junior Member
Joined
Feb 2009
Posts
41
Hi , I need some help with the next problem
In 1965, Gordon Moose observed that the amount of computing power possible to put on a chip doubles every two years. In 1990, there were 1,000,000 transisto... | 4 | [
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... | 25,760 | 25760 | |
Monetary Policy and Credit Easing pt. 6: Empirical Estimation and Methodology
December 30, 2011
By Steven Sabol
IT
is now appropriate to lay out our two regression models in full for empirical estimation over our two separate time periods. The first estimation is from 4/1/71 to 7/1/97 and the second is from 4/1/
01 ... | 5 | [
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0.... | 25,761 | 25761 | |
LIMO EEG: A Toolbox for Hierarchical LInear MOdeling of ElectroEncephaloGraphic Data
Computational Intelligence and Neuroscience
Volume 2011 (2011), Article ID 831409, 11 pages
http://dx.doi.org/10.1155/2011/831409
Research Article
LIMO EEG: A Toolbox for Hierarchical LInear MOdeling of ElectroEncephaloGraphic Data
... | 4 | [
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Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 906893, 8 pages
http://dx.doi.org/10.1155/2012/906893
Research Article
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts
^1School of Mathematica... | 5 | [
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... | 25,763 | 25763 | |
Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 634803, 8 pages
http://dx.doi.org/10.1155/2014/634803
Research Article
Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay
^1Department of... | 5 | [
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Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
International Journal of Differential Equations
Volume 2011 (2011), Article ID 408704, 24 pages
http://dx.doi.org/10.1155/2011/408704
Research Article
Global Existence of Solutions to the Fowler Equation in a Neighbourhood of ... | 4 | [
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Reciprocal Rule f(x)=1/(1-2/x)
Reciprocal Rule f(x)=1/(1-2/x) Hi everybody, welcome back. We’re going to be doing for problems with the reciprocal rule which is a basic derivative rule, the rule that helps you take derivatives
like product rule, quotient rule, etcetera. So we’re going to do a couple of problems. The fi... | 5 | [
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-0.000... | 25,766 | 25766 | |
Rebound Superball Problem
December 31st 2009, 11:53 AM #1
Newbie
Joined
Dec 2009
Posts
1
Rebound Superball Problem
The rebound ratio of a speckled green superball is 75%. It is dropped from a height of 16 feet. Consider the instant when the ball strikes the ground for the fiftieth time.
a. How far do... | 5 | [
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-0... | 25,767 | 25767 | |
Confusion on completing the square
August 27th 2008, 02:03 PM #1
Junior Member
Joined
Aug 2008
Posts
40
Confusion on completing the square
Hi, I've learned two methods of completing the square. One from my math teacher and from a website. The website is: (Completing the Square: Solving Quadratic Equation... | 4 | [
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Binary Operation
August 4th 2010, 09:17 AM
novice
Binary Operation
A binary operation $*$ is defined on the set $S=\{a,b,c\}$ by $x*y=x$ for all $x,y\inS$. Determine which of the properties (Associative, Identity, Inverse, Commutative) are satisfied by $(S,*).$
Solution:
Let $x,y$, and $z$ be any three ... | 5 | [
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0.054931640... | 25,769 | 25769 | |
What's the difference between these two trig identity problems?
September 6th 2010, 04:00 AM
jayshizwiz
What's the difference between these two trig identity problems?
1) $2 \tan x=3 \sin x$
$2 \frac{\sin x}{\cos x}=3 \sin x \rightarrow$$2 \sin x = 3 \sin x \cos x \rightarrow$$\sin x(2 - 3 \cos x)=0$
a) ... | 4 | [
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ab
Here's how to compute your tables with SPSS for class assignments. There are other ways to do it, but this will give you guidance on one good way to do it.
Crosstabs
• Put the independent variable (Gender) in the Colum... | 5 | [
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The Quick and Easy "Lawrence" Slide Rule Instruction Book
This is a continuation of
Part 1
. Slide rules were an enigma to most people even in the days when handheld digital calculators had not entered the scene. The rows of numbers generally look nothing like a simple, familiar ruler, and
the sliding window thing... | 4 | [
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0.066406... | 25,772 | 25772 | |
Derivative problem
May 26th 2009, 06:02 PM #1
Newbie
Joined
May 2009
Posts
6
Derivative problem
I'm finding this calculus problems interesting yet have trouble with a lot of them. hopefully this forum can help me
anyway....there is this derivative problem....
f(x)=x-2/x^2+1 Square root
f(x... | 5 | [
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0.01043701171... | 25,773 | 25773 | |
plz solve this
March 7th 2006, 12:28 AM #1
Junior Member
Joined
Feb 2006
Posts
27
plz solve this
How many distinct car numbers can be formed using two letters and three digits? The two letters must be distinct and first digit should be non zero?
468000 b] 676000 c] 608400 d] 585000
for ex ap 53... | 4 | [
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On Generalized Statistical Convergence of Order
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 370271, 7 pages
http://dx.doi.org/10.1155/2013/370271
Research Article
On Generalized Statistical Convergence of Order of Difference Sequences
Department of Mathematics, Fırat University, 23119... | 5 | [
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... | 25,775 | 25775 | |
Structural Complexity of DNA Sequence
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 628036, 11 pages
http://dx.doi.org/10.1155/2013/628036
Research Article
Structural Complexity of DNA Sequence
Department of Computer Science and Information Engineering, National Taiwan University,... | 4 | [
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For consecutive primes $a\lt b\lt c$, prove that $a+b\ge c$.
up vote 16 down vote favorite
1
For consecutive primes $a\lt b\lt c$, prove that $a+b\ge c$.
I cannot find a counter-example to this. Do we know if this inequality is true? Alternatively, is this some documented problem (solved or unsolved)?
nt.number-theo... | 5 | [
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[Calc III] Finding a moment of inertia of a given surface wrt Z-axis • /r/learnmath
[Calc III] Finding a moment of inertia of a given surface wrt Z-axis (self.learnmath)
submitted by annie-adderall
sorry, this has been archived and can no longer be voted on
Hi folks,
You'll find the question (14.5.11) and the so... | 5 | [
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0.0267333984375,
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-0.03515... | 25,778 | 25778 | |
How to calculate power loss in transmission cables?
Power station generates 120kW
Electricity can be transmitted either at 240V or at 24000V using a step-up transformer.
The cables have total resistance of 0.4W
What is the power loss when voltage is transmitted at:
1) 240V
2) 24000V
I AM SURE YOU CAN WORK THIS O... | 4 | [
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0.1455078... | 25,779 | 25779 | |
Positive Solutions for Second-Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 696283, 21 pages
http://dx.doi.org/10.1155/2012/696283
Research Article
Positive Solutions for Second-Order Singular Semipositone Differ... | 5 | [
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-0.0385742187... | 25,780 | 25780 | |
Covering Cycle Matroid
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 539401, 12 pages
http://dx.doi.org/10.1155/2013/539401
Research Article
Covering Cycle Matroid
Lab of Granular Computing, Minnan Normal University, Zhangzhou 363000, China
Received 9 April 2013; Accepted 3 May 2013
Academic Editors: S. ... | 4 | [
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GEOPROJ - Step by Step 5
1. Age-standardized incidence rates
The standard practice of public health departments in reporting population rates of mortality and disease incidence is to calculate age-standardized rates, which facilitates comparisons between
regions or subgroups of interest. The age-standardized rate is in... | 4 | [
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Help solving/ understanding (Cramers Rule)
May 17th 2007, 05:39 PM #1
Newbie
Joined
May 2007
Posts
3
Help solving/ understanding (Cramers Rule)
I need help with this problem? Thanks. The numbers in parenthesis in my book are like exponenets but toward the bottom, kinda like a log number. I did't know how... | 4 | [
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Inclusion in Sobolev spaces
Let $\Omega\subset\mathbb{R}^n$ be a bounded open set. Prove the inclusion $W^{1,n}(\Omega)\subset L^{p}(\Omega)$ for any $p\in[1,\infty)$.
It's been a while, so this is just to see if I've unpacked the problem correctly. $u \in W^{1,n}(\Omega) \Rightarrow u \in L^{n}(\Omega)$ and $D_iu \in... | 4 | [
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Area Problem
October 18th 2007, 05:12 PM #1
Newbie
Joined
Oct 2007
Posts
4
Area Problem
If 300 feet of fence are used to enclose a rectangular pen, the resulting area of the pen is A=150x-x^2, where x is the width of the pen.
a.What should the width be in order to have the max area?
b.What is t... | 4 | [
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f ^-1 (x) = (e^x - e^-x) / 2
July 18th 2013, 01:44 PM
kjtruitt
f ^-1 (x) = (e^x - e^-x) / 2
That is, the inverse of (e^x - e^-x) / 2. The answer is x + sqrt(x^2 + 1). If you start with x = (e^y - e^-y ) / 2, what intermediary steps lead to the answer?
You can clear the denominator:
2x = e^y - e^-y;
... | 5 | [
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Mensuration problems
February 1st 2008, 10:17 AM #1
Senior Member
Joined
Feb 2008
Posts
383
Mensuration problems
1a) Consider the triangle OAB
i) Find the area of the triangle
ii) Find the angle x
b) Find the area of the sector OAPB
c) Find the area of the shaded region.
d) Find the p... | 4 | [
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the encyclopedic entry of Prover9
Prover9
is an
automated theorem prover
for
First-order and equational logic
developed by
William McCune
. Prover9 is the successor of the
Otter theorem prover
.
Prover9 is intentionally paired with Mace4, which searches for finite models and counterexamples. Both can be run s... | 5 | [
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... | 25,788 | 25788 | |
Effects of Mass Transfer, Radiation, Joule Heating, and Viscous
Dissipation on Steady MHD Marangoni Convection Flow over a Flat Surface with Suction and Injection
International Journal of Engineering Mathematics
Volume 2013 (2013), Article ID 903818, 9 pages
http://dx.doi.org/10.1155/2013/903818
Research Article
Eff... | 4 | [
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Alternating Group A4 and Cayley diagraph
April 20th 2013, 08:54 PM #1
Junior Member
Joined
Sep 2012
From
Pittsburgh
Posts
39
Thanks
1
Alternating Group A4 and Cayley diagraph
Show that A4 = {(12)(34), (123)}, and draw a picture of the Cayley graph with
respect to this generating set.
I k... | 5 | [
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chain rule for outer products involving the gradient operator?
March 10th 2013, 03:06 PM #1
chain rule for outer products involving the gradient operator?
Hi, I'm gonna calculate the Jacobian matrix of the following function:
$f(r) = \frac{(r\cdot v)r}{r^2}$
where $r$ is the position. Since all variable... | 4 | [
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... | 25,791 | 25791 | |
Converting Polar equations into rectangular equations:
How do I convert r = 5sin(x) into an equivalent rectangular equation?
Hello, Neversh! You know the conversion, right? . . $\begin{array}{c}r\cos\theta \:=\:x \\ r\sin\theta \:=\:y \\ r^2 \:=\:x^2+y^2 \end{array}$ Quote: How do I convert $r = 5\sin\theta$ into an
e... | 4 | [
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0.0257568... | 25,792 | 25792 | |
Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence
Journal of Engineering
Volume 2013 (2013), Article ID 653027, 4 pages
http://dx.doi.org/10.1155/2013/653027
Research Article
Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence
Dipartimento di Ingegn... | 4 | [
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Two Factor ANOVA without Replication
To help introduce the basic concepts we start with the following example.
Example 1: A new fertilizer has been developed to increase the yield on crops, and the makers of the fertilizer want to better understand which of the three formulations (blends) of this fertilizer
are most ... | 5 | [
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Area, C of G of a paraboloid section? ...
July 18th 2008, 12:50 AM
mathwimp
Area, C of G of a paraboloid section? ...
Hi All, this is MathWimp here. I posted these queries in less appropriate thread categories here, before I figured out the website structure a bit more - mind you I have an excuse - the welcome
... | 5 | [
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prove that
prove that the product of five successive natural numbers can't be a perfect square.
Hi,I had a thought on this problem... And started like you. But let's imagine n=pq. Then, we can have p divides 2 (p=2) and q divides 4 (q=4). But yet n=8 and doesn't divide 1,2,3,4. Whereas if we
consider the consecutive n... | 4 | [
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How External Loads Affect Bolted Joints
Forces that overcome preload can cause bolted assemblies to leak, rattle, and fail.
Authored by:
Moo-Zung Lee
West Hills, Calif.
Edited by Kenneth J. Korane
ken.korane@penton.com
Key points:
• External loads that exceed the preload can cause joints to leak and assemblies to ra... | 4 | [
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Abstract Algebra Matrix Formulas
September 6th 2012, 12:49 AM #1
Newbie
Joined
Sep 2012
From
United States
Posts
12
Abstract Algebra Matrix Formulas
Find a formula for the n-th power of any 2 x 2 upper-triangular real matrix,
a...b
0...d
where n is a positive integer, and verify the formu... | 5 | [
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Lagranges Theorem
August 31st 2008, 02:47 PM
particlejohn
Lagranges Theorem
So we have $\phi(n) = \prod_{i=1}^{k} \phi(p_{i}^{e_{i}}) = \prod_{i=1}^{k} p_{i}^{e_{i}-1}(p_{i}-1)$. So basically what it is saying that the number of numbers coprime to $n$ is equal to the
totient product of their prime factors. S... | 4 | [
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... | 25,799 | 25799 |