content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Absolute value anxiety
October 2nd 2010, 10:08 AM #1
Junior Member
Joined
Jan 2010
Posts
28
Absolute value anxiety
Hi!
I got stuck in an assignment in real analysis.
I have $\mid\mid f(x)-g(x)\mid-\mid f(x_0)-g(x_0)\mid\mid$ and I would like it to be less than or equal to
$\mid f(x)-f(x_0)... | 4 | [
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-0... | 33,100 | 33100 | |
Power series representation of a given integral
December 10th 2012, 01:27 PM #1
Newbie
Joined
Dec 2012
From
Canada
Posts
13
Power series representation of a given integral
Hello guys,
I did a lot of finding the derivative of power series, but I'm stuck on the first exercise of finding the power ... | 5 | [
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0.0162353515625,
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... | 33,101 | 33101 | |
Homework Help
Posted by pooi on Saturday, December 17, 2011 at 3:03pm.
Two Trees are 150 m apart. From a point halfway between them, the angle of
elevation of their tops is 15°and..? 15°, and 20°.
a)How much taller is one tree than the other?
b) Where would a person have to stand in order to have the angle of eleva... | 4 | [
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0.07470703125,
-0.09521484375,
0.078... | 33,102 | 33102 | |
Finding a missing airplane (Conditional probability? Confusing wording.)
September 2nd 2011, 01:37 AM #1
Newbie
Joined
Feb 2011
Posts
21
Conditional probability question (with confusing wording)
LaTeX is giving me some serious parsing issues today, so I'll try to use it sparsely.
---
Problem st... | 5 | [
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Homework Help
Posted by Anonymous on Thursday, May 24, 2012 at 10:22pm.
area of a nonagon with a perimeter of 126in
• math - MathMate, Friday, May 25, 2012 at 7:38am
The area A of any regular polygon of n sides with side length s, apothem a is
A=nas/2.
Since ns=perimeter, p, we can also write the area ... | 4 | [
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-0.... | 33,104 | 33104 | |
ZFC and the foundation of mathematics
May 11th 2011, 08:00 PM #1
Newbie
Joined
May 2011
From
Los Angeles
Posts
23
ZFC and the foundation of mathematics
Today I've been studying ZFC:
Zermelo
and I have one particular issue I'm not clear on. It seems that ZFC by itself only allows for sets as... | 4 | [
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0.0262451171875... | 33,105 | 33105 | |
Proof by induction stuck on a sum:help:
December 15th 2008, 03:04 AM
ssadi
Proof by induction stuck on a sum:help:
Original sum:
Use the mathematical induction to prove:
$\displaystyle\sum_{r=1}^n sin (2r-1)\theta=\frac{sin^2 n\theta}{sin\theta}$
My problem:
How do I convert
$\frac{sin^2 k\... | 4 | [
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0.0625... | 33,106 | 33106 | |
Area of Archway
March 27th 2007, 06:38 AM
DivideBy0
Area of Archway
I have this really hard question which is attached at the bottom. I am not supposed to use a calculator to solve it but I've been trying a few methods to work it out, and nothing has come nearer
than calculus. I used the equation of a circle... | 5 | [
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... | 33,107 | 33107 | |
Math/Radioactive Dating
My teacher said that if the ratio of mass (in a rock) for 40K and 40Ar was 1:3 then the age of the rock would be 2.5 billion years. I don't understand how he concluded that to be the age. The only
thing he knew was that the half-life of K40 = 1.25 billion year. This is my thinking.
I don't unde... | 5 | [
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A Memory-Based Hysteresis Model in Piezoelectric Actuators
Journal of Control Science and Engineering
Volume 2012 (2012), Article ID 498590, 7 pages
http://dx.doi.org/10.1155/2012/498590
Research Article
A Memory-Based Hysteresis Model in Piezoelectric Actuators
^1School of Control Science and Engineering, Shandong ... | 4 | [
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Cyclic group
in Z3 x Z3, we define (a,b) + (a',b') as (a+a' (mod 3), b+b' (mod 3)). this group has 9 elements, so it is cyclic if and only if it has an element of order 9. can you prove no element has order
greater than 3?
i cant prove :/ but i think i can show so the elements are {(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),... | 5 | [
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... | 33,110 | 33110 | |
Differential equation problem
November 18th 2012, 10:42 AM
entrepreneurforum.co.uk
Differential equation problem
Differential equation problem:
Question;
show any function $x=x(t)$ which satisfies $xe^{tx} = C$ is a solution of the differential equation $(1+tx)x' = x^2$
This is what I have so far;... | 5 | [
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-0.... | 33,111 | 33111 | |
Trigonometry height and distance problems
July 18th 2008, 07:09 PM #1
Newbie
Joined
Jul 2008
Posts
10
A minar stands on a level ground.The shadow of the minar is 30 meter more when angel of elevation of sun (of sun's altitude) is $45^o$ than the angel of elevation of sun $60^o$ .Find height of
the min... | 4 | [
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0.0211181640625,
... | 33,112 | 33112 | |
How can i solve this probability question?
May 29th 2009, 08:14 PM #1
Junior Member
Joined
Apr 2009
Posts
33
How can i solve this probability question?
In a certain town 45% of the people have black hair,30% have brown eyes and 20% have both black hair and brown eyes.if a person is selected at random fro... | 4 | [
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Dynamics 4
September 2nd 2009, 01:10 AM #1
Junior Member
Joined
Aug 2009
Posts
25
Hello Everyone, please help me on this dynamics questions!
A particle moving along a straight line experiences a retardation of 1 + v^2 cm/s^2 when it is travelling at v cm/s. If initially the velocity of the particle i... | 4 | [
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-0.... | 33,114 | 33114 | |
Finding domain, solving exponential equation and finding factors.
December 6th 2011, 11:13 AM
Oddrick
Finding domain, solving exponential equation and finding factors.
Hi guys! I would really love help with some questions on my exam review. My exam is tomorrow and I'm completely confused! Help would be very much... | 4 | [
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[SOLVED] Can't find particular solution of nonhomogenous linear ode
April 8th 2010, 01:08 AM #1
Junior Member
Joined
Oct 2008
Posts
43
[SOLVED] Can't find particular solution of nonhomogenous linear ode
My problem:
$y'' + 4y' + 5y = 5t + e^{-t}$
I found the general solution of the homogenous eq... | 5 | [
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Homework Help
Posted by Anonymous on Monday, May 2, 2011 at 10:13am.
A person hired a firm to build a CB radio tower. The firm charges $100 for labor for
the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25
more than the preceding 10 feet. That is, the next 10 feet will cost $125, ... | 4 | [
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... | 33,117 | 33117 | |
math,correction,help
Posted by jasmine20 on Saturday, January 13, 2007 at 3:19pm.
please can someone tell me where i am wrong.
Directions:
Translate to a system of equations and solve.
Problem:
Colored copies cost 10cents per copy and white copies cost 5cents per copy. Sandy made 400 copies, some of which were col... | 4 | [
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1 sum. elementary transformation from z-plane to w-plane (complex number)
December 3rd 2008, 03:58 AM #1
1 sum. elementary transformation from z-plane to w-plane (complex number)
For the transformation $w=z^2$ show that as z moves once round the circle centre O and radius 2, w moves twice round the circle center ... | 4 | [
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Appendix D: Computing a Retired-Worker Benefit
Overview
This section provides instructions and a worksheet for computing a retired-worker benefit. The worksheet can be used for persons born in 1932 through 1945—that is, those who attained the age of 62 in
2007 or earlier and were under the age of 75 at the end of 200... | 5 | [
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-0.0097045898437... | 33,120 | 33120 | |
Significance of a second partial in marginal analysis?
May 29th 2006, 11:55 PM #1
Junior Member
Joined
Apr 2006
Posts
25
Significance of a second partial in marginal analysis?
I'm doing a bivariate calculus problem from a textbook. I can reach all the answers, but am unsure about something -- what does a... | 5 | [
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Complex analysis
September 16th 2012, 07:52 AM
Skruven
Complex analysis
let: $u(x,y) = \sin (x^2-y^2)\cosh (2xy)$
Is there a function $f(x+iy) = u(x,y) + iv(x,y)$ that is analytic in the complex plane.
If so determine all the functions f.
........................................
So i know that... | 5 | [
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Homework Help
Posted by alice on Wednesday, January 1, 2014 at 3:17pm.
The equation: T= 2* pi* sqrt(2/3L/9.8) Solve for L. Please show the solution step by step. The square root is giving me trouble in my solution. Thanks for your help.
• math - Henry, Wednesday, January 1, 2014 at 8:37pm
If L is known:
1... | 4 | [
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This geometry problem has stumped me and all of my friends. • /r/math
This geometry problem has stumped me and all of my friends. (self.math)
submitted by Sleisl
sorry, this has been archived and can no longer be voted on
It stems from a problem inspired by a Futility Closet post:
If you approach a building in ... | 5 | [
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Math Help
February 16th 2010, 04:46 AM #1
Angles...
May be that someone considers my question very trivial but...
... I'd like to know if it is possible to demonstrate that $CAB = \frac{COB}{2}$ without using trigonometry...
Kind regards
$\chi$$\sigma$
Do you know that the length of the arc... | 4 | [
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0.00854492187... | 33,125 | 33125 | |
Homework Help
Posted by shelby on Wednesday, March 19, 2008 at 6:34pm.
In a simple model of the wind speed associated with hurricane Emily, we assume there is calm eye 10.0 km in radius. The winds, which extend to a height of 5550 m, begin with a speed of 208.0 km/hr at
the eye wall and decrease linearly with radial d... | 5 | [
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... | 33,126 | 33126 | |
Logic: Given ((p^段)v(殆^q)) |- (p v q)
April 11th 2012, 05:03 AM #1
Junior Member
Joined
Jul 2011
Posts
26
Logic: Given ((p^段)v(殆^q)) |- (p v q)
Hi,
I am trying to answer the following exam question:
Let $\theta$ be $((p\wedgeeg q)\vee(eg p\wedge q))$.
Show that $\theta\vdash(p\vee q)$ but th... | 4 | [
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0.11083984375,
0.0732421875,
0.0849609375,
-0.0576171875,
-0.005950927734375... | 33,127 | 33127 | |
Extended Euclidean algorithm
September 21st 2009, 09:05 AM #1
Newbie
Joined
Sep 2009
Posts
2
Extended Euclidean algorithm
Find the greatest common divisor D of the integers A and B, and write D with ax + by.
like in:
a = 60 b = 100
What i did to find the GCD:
100/60=1 remain 40.
60... | 4 | [
-0.026611328125,
0.06787109375,
-0.062255859375,
-0.134765625,
0.035400390625,
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0.0732421875,
-0.07275390625,
0.08056640625,
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0.05810546875,
0.041748046875,
0.018798828125,
0.019775390625,
0.03662109375,
-0.07080078125,
0.046142578125,
... | 33,128 | 33128 | |
Powers of 0 and 1
July 18th 2008, 02:55 PM
magentarita
Powers of 0 and 1
We all know that any number or variable raised to the zero power equals 1
and that any number or variable raised to the 1st power equals the number or variable.
SAMPLE A:
x^0 = 1 as well as 100^0 = 1
SAMPLE B:
x^1 = ... | 4 | [
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-0.0111083984375,
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0.09375,
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-0.029296875,
0.0693359375,
-0.13671875,
-0.056640625,
-0.060... | 33,129 | 33129 | |
limit of infinite sequence
December 12th 2012, 04:44 AM
muddywaters
limit of infinite sequence
not sure to put this in pre calculus or calculus, sorry if mistaken
Find the following limit.
Given that $\frac{\pi}{2}<\theta<\pi$ where $\thetaeq\frac{3}{4}\pi$,
find $\lim_{n \to \infty} (\frac{sin^n2\t... | 5 | [
-0.0927734375,
-0.0238037109375,
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0.031494140625,
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-0.0169677734375,
0.057861328125,
0.000400543212890625,
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0.021484375,
0.005126953125,
-0.002349853515625,
-0.00885009765625,
0.050048828125,
0.057373046875,
-... | 33,130 | 33130 | |
Please help with calculus problems..
February 23rd 2009, 11:46 AM #1
Member
Joined
Feb 2009
Posts
114
1. If an arrow is shot straight upward on the moon with a velocity of 78 m/s, its height (in meters) after t seconds is given by
What is the velocity of the arrow (in m/s) after 7 seconds? 66.38 m/s
... | 5 | [
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0.0439453125,
-0.048828125,
0.053466796875,
-0... | 33,131 | 33131 | |
Problem Solving, need help forming the equation please
October 19th 2007, 07:00 AM
matholic
Problem Solving, need help forming the equation please
This is my first post so hello everyone! (Handshake)
I'm from china, my english isn't too good, please bare with me if you find my wording a bit wierd. :) I'll tr... | 4 | [
-0.037841796875,
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-0.0164794921875,
-0.03466796875,
-0.08544921875,
-0.0029449462890625,
0.006561279296875,
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-0.051513671875,
0.058349609375,
-0.0067138671875,
0.056640625,
0.012... | 33,132 | 33132 | |
If a certain positive integer is divided by 9, the remainder
Author Message
TAGS:
If a certain positive integer is divided by 9, the remainder [#permalink] 18 Jan 2013, 23:28
... | 4 | [
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0.099609375,
-0.04296875,
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0.03564453125,
-0.042724609375,
-0.00927734375,
-0.0771484375,
-0.02270... | 33,133 | 33133 | |
Numerical Integration
One of the most widely used methods of numerical integration is Gauss-Legendre quadrature. It posses very attractive property of to be exact on polynomials of degree up to
The algorithm consists in approximation of initial definite integral by the sum of weighted integrand values sampled at specia... | 4 | [
-0.0625,
0.0625,
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0.01373291015625,
0.0732421875,
0.04443... | 33,134 | 33134 | |
Picard's Iteration
November 23rd 2009, 01:41 PM #1
Picard's Iteration
dy/dt=y^2 with initial condition y(0)=1
Prove that every picards iteration is defined for every t, but the exact solution is defiuned for t<1. Show that Taylor series for the exact solution converges for |t|<1.
The picards iterations ... | 4 | [
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-0.1455... | 33,135 | 33135 | |
ontraction
(cT)^2 = (cT')^2 + (vT)^2, then dividing by c^2 and rearranging gives
T'^2 = T^2 - (v/c)^2T^2 whence
T' = T(1 - (v/c)^2)^1/2 = T/γ, where γ = 1/(1 - (v/c)^2)^1/2.
So Jasper observes Zoe's clock to tick more slowly by a factor γ, which is always greater than or equal to one. This factor γ occu... | 4 | [
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0.08349609375,
-0... | 33,136 | 33136 | |
Work Integration
February 6th 2010, 06:32 PM #1
Member
Joined
Mar 2009
From
Alberta
Posts
173
Work Integration
Hey folks, I've got a problem here that I can't figure out how to start. Just a pointer in the right direction would be great.
What is the natural length of a spring (in cm) which need... | 5 | [
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-0.050048828125,
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0.0380859375,
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0.0361328125,
-0.04052734375,
0.0220947265625,
-0.03173828125,
0.10... | 33,137 | 33137 | |
Integration help, how do you do this?
So hard to read >< Is it $\displaystyle C_3'(t) + 9C_3(t) = e^{-t}$? If so, it's first order linear, so use the Integrating Factor method.
I find it hard to believe that you've been given a first order linear ODE without knowing what the Integrating Factor method is. Do you at lea... | 5 | [
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0.011474609375,
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-0.07568359375,
-0.01434326171875,
0.... | 33,138 | 33138 | |
Homogenization in Sobolev Spaces with Nonstandard Growth: Brief Review of Methods and Applications
International Journal of Differential Equations
Volume 2013 (2013), Article ID 693529, 16 pages
http://dx.doi.org/10.1155/2013/693529
Research Article
Homogenization in Sobolev Spaces with Nonstandard Growth: Brief Revi... | 4 | [
-0.095703125,
0.003753662109375,
0.0615234375,
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0.0712890625,
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-0.0322265625,
-0.01416015625,
0.017822265625,
-0.11279296875,
-0.02868652... | 33,139 | 33139 | |
A Dynamical Innovation Diffusion Model with Fuzzy Coefficient and Its Application to Local Telephone Diffusion in China
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 148398, 17 pages
http://dx.doi.org/10.1155/2013/148398
Research Article
A Dynamical Innovation Diffusion Model with Fuzzy Coeff... | 4 | [
0.044189453125,
-0.0634765625,
0.09423828125,
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-0.007049560546875,
0.009521484375,
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0.0208740234375,
0.00037574768... | 33,140 | 33140 | |
Homework Help
Posted by Chay on Tuesday, July 24, 2012 at 11:02am.
Claim: For all theta such that
-pie/2<theta<pie/2 the following holds true:
(1+tan(theta))^2=1/cos(theta)
• Trig - Reiny, Tuesday, July 24, 2012 at 11:40am
LS = (1+ tanØ)^2
= 1 + 2tanØ + tan^2 Ø
= 1 + 2tanØ + sec^2 Ø - 1
= 2sinØ/c... | 4 | [
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... | 33,141 | 33141 | |
Homework Help
Posted by Amanda on Friday, November 23, 2012 at 11:24am.
Find the effective rate corresponding to the given nominal rate. (Round your answer to the nearest hundredth of a percentage point.)
(a) 4%/year, compounded quarterly
? %
(b) 3%/year, compounded monthly
? %
• Math - Henry, Friday, November ... | 4 | [
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-0.046142578125,... | 33,142 | 33142 | |
Variables and unknown constants?
July 28th 2011, 11:55 PM
deltasalt
Variables and unknown constants?
Hi,
Through a maths course I have been learning about differentiating inverse trig functions. I just learnt the rule:
$y = {\sin ^{ - 1}}\left( {{x \over a}} \right)$
$\frac{{dy}}{{dx}} = \frac{1}{... | 5 | [
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... | 33,143 | 33143 | |
Random walk origin return monotinicity
up vote 11 down vote favorite
4
Consider a Markov chain on $\mathbb{Z}^d$ with transition kernel $P$ for adjacent vertices (non-diagonal). Essentially this is a $d$ dimensional random walk with the probability of a transition
dependent on it's location in the grid. This comes fro... | 4 | [
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0.0206298828125,... | 33,144 | 33144 | |
Derivation
November 8th 2007, 09:08 AM #1
Member
Joined
Oct 2006
Posts
78
Derivation
Hey Guys Hope you are Fine!
i have a problem and i need to know the derivation of this:
lim : 1-sin^2x/ x-pi/2
x-->pi/2
For me we should use Hospital so:
Lim: -2sin2x/ 1-pi/2 ? right? and then?
... | 5 | [
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0.00958251953125,
-0.04638671875,
-0.0034637451171875,
0.02197265625,
-... | 33,145 | 33145 | |
Statistical Texture Modeling for Medical Volume Using Linear Tensor Coding
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 630902, 10 pages
http://dx.doi.org/10.1155/2013/630902
Research Article
Statistical Texture Modeling for Medical Volume Using Linear Tensor Coding
^1College of ... | 4 | [
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0... | 33,146 | 33146 | |
Polynomial uniqueness proof
November 6th 2012, 09:30 AM
PaulAdrienMauriceDirac
Polynomial uniqueness proof
This problem is from my Gelfand's Algebra book.
Problem 164. Prove that a polynomial of degree not exceeding 2 is defined uniquely by three of its values.
This means that if $P(x)$ and $Q(x)$ are ... | 5 | [
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0.07275390625,
-0.0546875,
0.0507812... | 33,147 | 33147 | |
Compute inverse trig functions
September 20th 2009, 03:06 PM
Alice96
Compute inverse trig functions
This is in the review section of my calculus books so I think it should be solvable without calc but I'm not sure. I dont even know how to start this problem.
Using only arctangent and other commonly availabl... | 5 | [
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0.0159912109375,
0.043212890625,
-0.05126953125,
0.0211181640625,
-0.044677734375... | 33,148 | 33148 | |
Runge-Kutta Third Order Method Version 1
This method is a third order Runge-Kutta method for approximating the solution of the initial value problem
y'(x) = f(x,y)
;
y(x[0]) = y[0]
which evaluates the integrand,
f(x,y)
, three times per step. For step
i+1
,
y[i+1] = y[i] + 1/6 ( k[1] + 4 k[2] + k[3] ),
where... | 4 | [
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0.045166015625,
0.0693359375,
-0.072265625,
... | 33,149 | 33149 | |
question on sigma-fields
up vote 4 down vote favorite
1
Let X,Y to be mappings from the sample space Ω to R and suppose Y is measurable with respect to σ(X), the smallest σ-field that makes X measurable.
Does it follow that there exists some Borel-measurable function f: R → R such that Y=f(X)?
pr.probability
T... | 5 | [
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0.03369140625,
... | 33,150 | 33150 | |
Hyperbolic proof
September 24th 2011, 10:25 AM #1
Hyperbolic proof
$x = ln(sec(\theta) + tan(\theta))$
Show that:
$cosh(x) = sec(\theta)$
I got till here but don't know what to do next.
$cosh(ln(1+sin\theta) - ln(cos\theta)) = sec(\theta)$
Re: Hyperbolic proof
from given equation
$e^x... | 5 | [
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0.0108642578125,
-0.067382812... | 33,151 | 33151 | |
How does one use Cubic Spline Interpolation?
May 23rd 2008, 09:50 AM #1
Junior Member
Joined
Mar 2008
Posts
31
How does one use Cubic Spline Interpolation?
Hello all, I would like to know how cubic spline interpolation is used to create a smooth curve given a set of data points. This is the method used b... | 4 | [
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0.0093... | 33,152 | 33152 | |
Current a vector or scalar?
well, the idea of current involves taking a cross section. To measure a current in a wire, you take a cross section in the wire, and count how many electrons pass through in a given time.
However, when one goes beyond the restriction of a wire, let's say in a cloud of electron, current is n... | 4 | [
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-0.01928710... | 33,153 | 33153 | |
Which value of k is vector field conservative
October 13th 2012, 04:31 AM #1
Newbie
Which value of k is vector field conservative
Re: Which value of k is vector field conservative
Your work has a valid approach, and the correct answer. However, you seem to have overlooked that the "constants of integration" are... | 5 | [
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0.021484375,
-0.041748046875,
0.004241... | 33,154 | 33154 | |
Hypothesis Testing - CFA Level 1 | Investopedia
CFA Level 1
Quantitative Methods - Hypothesis Testing
Hypothesis testing provides a basis for taking ideas or theories that someone initially develops about the economy or investing or markets, and then deciding whether these ideas are true or false.
More precisely, hyp... | 4 | [
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-0.0213623046875,
-0.006988525390625,
-0.00421142578125,
0.004638671875,
-0.10986328125,
-0.0031890869140625,... | 33,155 | 33155 | |
Radicals, Radical functions and rational exponents Help please
June 4th 2006, 12:07 PM #1
Junior Member
Joined
May 2006
Posts
38
The algebraic expression: I am not sure how to type this on the computer but in the parenthesis is the square root of t+h - square root of t over h
15.92(square root of t +... | 4 | [
0.01806640625,
0.0498046875,
0.048828125,
0.03466796875,
-0.012939453125,
-0.0419921875,
-0.12109375,
0.055419921875,
0.0211181640625,
0.00927734375,
0.1201171875,
0.01251220703125,
0.0220947265625,
0.0546875,
0.01385498046875,
0.0791015625,
-0.05224609375,
-0.003265380859375,
-0... | 33,156 | 33156 | |
[SOLVED] Quotient Differentiation
June 9th 2008, 12:40 AM #1
[SOLVED] Quotient Differentiation
Hey I have a question. I've had to differentiate something but the answer in the back of the book says otherwise.
Which one is right? And If I'm wrong can you tell me how to do it?
The first equation is the ori... | 5 | [
-0.0625,
0.057373046875,
0.0245361328125,
-0.02001953125,
-0.00799560546875,
0.0211181640625,
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-0.042236328125,
0.0186767578125,
0.07080078125,
0.201171875,
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0.0032806396484375,
0.0093994140625,
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0.0157470703125,
0.038... | 33,157 | 33157 | |
Prove Trig Identity
$\frac{sin^2x - tanx}{cos^2x - cotx} = tan^2x$ I've tried and cannot prove it (Headbang)
Hi, This equality can be written $\sin^2x-\tan x =\tan^2x\left(\cos^2x-\cot x\right)$. You should try to use $\begin{cases}\tan x = \frac{\sin x }{\cos x}\\ \cot x =\frac{1}{\tan x}\end{cases}$ to
show that $\t... | 4 | [
-0.01348876953125,
0.06982421875,
0.06103515625,
0.0078125,
-0.01953125,
0.047607421875,
-0.034912109375,
-0.02783203125,
0.0262451171875,
0.025634765625,
0.06640625,
-0.01080322265625,
0.019775390625,
0.023681640625,
0.046142578125,
-0.0220947265625,
0.08251953125,
0.053955078125,... | 33,158 | 33158 | |
Math function for parabola
May 15th 2012, 10:00 AM #1
Newbie
Joined
May 2012
From
Italy
Posts
3
Math function for parabola
Hello. I need to find an implicit function that plots a parabolic tube with a circular cross-section of radius 3. Even if you know only the function of the parabola, it would be ... | 5 | [
-0.049072265625,
-0.044677734375,
-0.1171875,
-0.04541015625,
0.003082275390625,
-0.037353515625,
-0.0228271484375,
0.06689453125,
0.0035552978515625,
-0.0174560546875,
0.10791015625,
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0.0250244140625,
0.0162353515625,
0.08642578125,
0.033203125,
-0.05712890625,
-0... | 33,159 | 33159 | |
Congruence and Similarity I Know They Are In There
December 16th 2012, 11:22 AM #1
Newbie
Joined
Dec 2012
From
oshawa
Posts
1
Congruence and Similarity I Know They Are In There
Given: ÎABC is an isosceles triangle with AB = AC.
D is the midpoint of AB.
E is the midpoint of AC.
DE is paral... | 4 | [
-0.10400390625,
0.0289306640625,
-0.00665283203125,
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0.036376953125,
0.054443359375,
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0.0751953125,
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0.0185546875,
0.006805419921875,
-0.0703125,
0.00072479248046875,
... | 33,160 | 33160 | |
solutions of a triangle
August 11th 2010, 05:22 AM
grgrsanjay
solutions of a triangle
prove that: $\:\dfrac{c}{a+b}\:\ = \:\dfrac{1-tan\:\dfrac{A}{2}\:\tan\:\dfrac{B}{2}\ }{1 +tan\:\dfrac{A}{2}\:\tan\:\dfrac{B}{2} }$
where $\:\boxed{a,b,c}$ are the sides opposite to the angles $\:\boxed{A,B,C}$ respectively... | 5 | [
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0.032470703125,
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0.0556640625,
0.05517578125,
-0.016357421875,
-0.06201171875,
-0.05322265625,
... | 33,161 | 33161 | |
FitzHugh-Nagumo
The FitzHugh-Nagumo (FHN) model
A generalisation of the Van der Pol's equation the FHN is one of the simplest model for excitable media [1,2]. The model is able to reproduce many qualitative characteristics of electrical impulses
in cardiac tissues, e.g.: 1D travelling waves, tip of 2D spirals meander... | 4 | [
-0.09912109375,
-0.0014190673828125,
-0.005340576171875,
-0.005340576171875,
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0.05029296875,
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0.06884765625,
0.019287109375,
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-0.0908203125,
-0.0380859375,
-... | 33,162 | 33162 | |
[Haskell] Announce: revamped free theorems generator
Janis Voigtländer jv at informatik.uni-bonn.de
Sun Jun 20 06:47:28 EDT 2010
Sebastian Fischer schrieb:
> Hello,
>
> I tried to use the free theorem generator in order to check whether the
> only values of type `(Bool -> a) -> a` are `($True)` and `($False)`.
Di... | 4 | [
-0.1279296875,
0.02734375,
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0.01190185546875,
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0.04833984375,
-0.044189453125,
0.06396484375,
0.03173828125,
-0.0419921875,
0.000084877... | 33,163 | 33163 | |
Total number of possible JPEG's
June 28th 2011, 03:15 PM
johnghampton
Total number of possible JPEG's
Hi, I'm trying to compute the total number of possible JPEG's that could be created.
JPEGs can be anywhere from 1x1 to 65535x65535 pixels and each pixel has 8bit color x three color channels. This means ther... | 4 | [
0.041748046875,
-0.010498046875,
0.012939453125,
-0.00634765625,
-0.01385498046875,
-0.0225830078125,
0.04248046875,
0.036376953125,
0.00628662109375,
-0.02099609375,
-0.07275390625,
-0.0135498046875,
0.1083984375,
0.099609375,
0.03857421875,
0.0888671875,
-0.08984375,
0.0317382812... | 33,164 | 33164 | |
6. Applied Verbal Problems
Mathematics is really about solving problems, not just about moving letters and numbers around.
Most real-world problems are stated using words and we need to translate them into mathematical statements.
You need to:
• Read the problem carefully
• Sketch the situation (a picture is wo... | 4 | [
-0.00154876708984375,
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0.034423828125,
-0.031982421875,
0.0235595703125,
-0.07568359375,
0.05... | 33,165 | 33165 | |
Probability Probelms & Counting Techniques
Expand using the binomial theorem. Simplify the result fully. (x^2 - 3y)^4
$(x^2)^4 + 4\{(x^2)^3 \cdot (-3y)^1\} + 6\{(x^2)^2 \cdot (-3y)^2\} + 4\{(x^2)^1 \cdot (-3y)^3\} + (-3y)^4 \\$ $\Rightarrow x^8 + 4(x^6 \cdot -3y) +6(x^4 \cdot 9y^2) + 4(x^2 \cdot -27y^3) + 81y^4$ ...
O... | 4 | [
0.0869140625,
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0.09716796875,
-0.07470703125,
-0.09521484375,
... | 33,166 | 33166 | |
Trigonometry Word Problem ...
June 12th 2009, 12:16 PM #1
Member
Joined
Jun 2009
Posts
86
Trigonometry Word Problem ...
The following questions are for a final class project. Obviously these questions are very hard, and I am unsure how to completely answer these with the proper and complete work shown. H... | 4 | [
0.0152587890625,
0.11376953125,
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0.060302734375,
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0.06640625,
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0.04931640625,
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0.006744384765625,
-0.032470703125,
... | 33,167 | 33167 | |
Quadratic Word Problems
October 28th 2009, 03:29 PM
jakej78
Quadratic Word Problems
I don't understand these problems at all..
2b. Melissa plans to put a fence around her garden while leaving a 10 ft. opening to get in and out. If she has 120 ft. of fencing, what is the maximum area this fencing can enclose... | 4 | [
0.07421875,
-0.0185546875,
0.004852294921875,
-0.03466796875,
-0.0673828125,
0.0634765625,
0.0012664794921875,
0.0322265625,
-0.1337890625,
0.091796875,
0.0027313232421875,
0.041748046875,
0.0172119140625,
0.04931640625,
0.0030670166015625,
0.0966796875,
0.034423828125,
-0.01782226... | 33,168 | 33168 | |
Integrating by parts
November 9th 2009, 08:49 PM #1
Newbie
Joined
Nov 2009
Posts
19
Integrating by parts
I have a problem that I've been working on:
Consider the definite integral
I have:
arcsin(4x)(x^2/2) minus the integral [IMG]file:///C:/Users/Tawny/AppData/Local/Temp/moz-screenshot.jpg... | 5 | [
0.0625,
0.02099609375,
0.07568359375,
-0.026123046875,
-0.0185546875,
-0.10302734375,
-0.0103759765625,
0.06103515625,
-0.01806640625,
-0.00457763671875,
0.0145263671875,
-0.033447265625,
0.01495361328125,
0.1328125,
-0.072265625,
0.0361328125,
-0.0111083984375,
0.01422119140625,
... | 33,169 | 33169 | |
normal line point on surface
Would anyone know how to begin a problem where a function z(x,y) is given and x(t),y(t),z(t). Thanks!
the normal line to the surface is expressed as: N $= \displaystyle\frac{\partial{z}}{\partial{x}}$$\space$i $+ \displaystyle\frac{\partial{z}}{\partial{y}}$$\space$j $-$$\space$k $\display... | 5 | [
-0.138671875,
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0.04052734375,
-0.072265625,
-0.00109100341796875,
... | 33,170 | 33170 | |
temperature coefficients
September 30th 2010, 08:41 PM #1
temperature coefficients
Temperature coefficients of resistance for copper and platinum are respectively
$0.00427^oC^{-1}$, and $0.00357^oC^{-1}$
Resisters made of copper and platinum have respective resistences $17\Omega$ and $18\Omega$ at $20^oC.... | 4 | [
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0.001617431640625,
-0.03125,
0.072265625,
... | 33,171 | 33171 | |
Euler's phi-function.
September 30th 2010, 11:00 PM #1
Member
Joined
Jun 2010
From
Israel
Posts
148
Euler's phi-function.
Challange Problem.
Prove that $\displaystyle\frac{\phi(m)}{m}=\frac{\phi(n)}{n}$ if and only if $m$ and $n$ share exactly the same prime divisors.
Moderator approved CB
... | 5 | [
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0.04541015625,
-0.0125732421875,
0.053955078125,
0.0234375,
0.0262451171... | 33,172 | 33172 | |
some problem in strong induction
October 4th 2011, 10:38 PM
issacnewton
some problem in strong induction
hi
here is a problem i am trying to do.
$\forall m,n \in \mathbb{N}[(m\lvert n)\Rightarrow (F_m\lvert F_n)]$
where $F_n$ is nth Fibonacci number. following is my attempt to prove.
let
... | 4 | [
-0.01202392578125,
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0.032958984375,
-0.00640869140625,
0.041015625,
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0.031005859375,
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0.01251220703125,
0.0101318359375,
0.041259765625,
0.049072265625,
0.0096435546... | 33,173 | 33173 | |
Formula for a bounded shape (rectangle)
June 15th 2012, 08:50 AM
daigo
Formula for a bounded shape (rectangle)
Quote:
A rectangle is bounded by the x-axis and the semicircle y = sqrt(25 - x^2)
Express the area of the rectangle as a function of x and find the domain of the function
So this is how I ... | 4 | [
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0.05078125,
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0.1025390625,
0.03466796875,
0.0174560546875,
0.00238037109375,
-0.080... | 33,174 | 33174 | |
Fractional Equation
April 23rd 2012, 01:14 PM #1
Newbie
Joined
Mar 2012
From
usa
Posts
7
(x-2)/2 - (x-8)/4 = 1/2
I think I am supposed to solve this as a proportion... but not sure
I would show my work, but I have tried this so many times it's not funny... I have gotten x=2, x=4, x=6, x=14, x... | 4 | [
0.016357421875,
-0.02587890625,
0.05908203125,
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-0.0289306640625,
-0.007537841796875,
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0.038330078125,
0.033935546875,
-0.0230712890625,
0.042724609375,
-0.08544921875,
0.006561279296875,
0.041748046875,
-0.01275634765625,
0.056396484375,
0.03564453125,
... | 33,175 | 33175 | |
trig question
show that (sin A + cos A) (Sin B + Cos B)= Sin (A +B) + Cos (A-B)
$RHS = \sin(A+B) + \cos(A-B)$ Expand both of these: $=\sin(A)\cos(B)+\sin(B)\cos(A) + \cos(A)\cos(B) + \sin(A)\sin(B)$ Now factor out sin(A) and cos(A) from the relevant expressions: $=\sin(A)(\cos
(B)+\sin(B)) + \cos(A)(\sin(B) + \cos(B))... | 4 | [
-0.11279296875,
0.0174560546875,
-0.0035400390625,
0.04541015625,
0.0225830078125,
0.099609375,
0.01116943359375,
-0.0810546875,
0.01116943359375,
0.037353515625,
-0.006866455078125,
-0.0439453125,
0.07177734375,
0.041259765625,
0.087890625,
-0.014404296875,
-0.045654296875,
0.0888... | 33,176 | 33176 | |
Graph Transformation Problems
January 16th 2007, 03:55 PM
aussiekid90
Graph Transformation Problems
1. If a curve on a graph of f is F9x)=x^2-2x for all real numbers x, is the absolute value (f(x)) diffentiable at x=0? I'm pretty sure its no, but i'm not sure how to explain it.
2. If the same curve exists, ... | 4 | [
-0.01513671875,
-0.01336669921875,
-0.03662109375,
-0.0084228515625,
0.049560546875,
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0.091796875,
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0.11669921875,
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0.0206298828125,
0.076171875,
0.00014209747314453125,
-0.03173828125,
-0.00015354... | 33,177 | 33177 | |
Trig substitution integration problem
May 6th 2008, 10:50 AM #1
Newbie
Joined
May 2008
Posts
7
Trig substitution integration problem
1. The problem statement, all variables and given/known data
integral√(9-x²) / (x²)
2. Relevant equations
Just trig substitution
3. The attempt at a sol... | 5 | [
-0.010009765625,
0.0181884765625,
-0.00860595703125,
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0.055908203125,
0.04736328125,
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0.021728515625,
0.017822265625,
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0.07275390625,
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0.0308837890625,
-0.0048828125,
-0.0111083984375,
0.012451171875,
0.... | 33,178 | 33178 | |
Groups: determining elements with polynomials
July 30th 2012, 02:36 AM #1
Newbie
Joined
Jun 2012
From
Stockholm
Posts
7
Groups: determining elements with polynomials
I had a problem that goes like this: I have the grop G = (Z[29]\{0}, multiplication). It has exactly one subgroup H with four elements ... | 5 | [
-0.02685546875,
0.07177734375,
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-0.0247802734375,
0.12890625,
-0.045654296875,
-0.017578125,
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0.01513671875,
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0.04296875,
-0.020751953125,
-0.06640625,
-0.0013580322265625,
-0.09228515625,
-0.017333... | 33,179 | 33179 | |
Using a clinometer to measure height
In this Instructable, I'll show you how to use a clinometer to measure the height of a tall object (for help constructing your own clinometer from basic classroom materials, click
here
).
What you will need;
Clinometer
Tape measure
Paper
Pen or pencil
Assistant
Step 1: Pick... | 4 | [
-0.026123046875,
0.00045013427734375,
0.0294189453125,
-0.08349609375,
-0.04150390625,
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0.0238037109375,
0.1572265625,
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-0.01904296875,
0.05712890625,
-0.0135498046875,
0.00958251953125,
-0.0133666992187... | 33,180 | 33180 | |
Number patterns
March 26th 2010, 07:16 AM
wonderboy1953
Number patterns
What is the minimum number of members in a number group you can comfortably have before you can say that you have a pattern?
March 26th 2010, 12:58 PM
Soroban
Hello, wonderboy1953!
Quote:
What is the minimum number of membe... | 4 | [
-0.0140380859375,
0.01177978515625,
-0.05322265625,
-0.043212890625,
-0.048095703125,
0.07763671875,
-0.06640625,
-0.0223388671875,
-0.046875,
-0.0322265625,
-0.048095703125,
-0.0125732421875,
-0.000904083251953125,
-0.019287109375,
-0.0203857421875,
-0.0458984375,
-0.014892578125,
... | 33,181 | 33181 | |
Solve the double angle equation
February 27th 2011, 03:31 AM #1
Newbie
Joined
Dec 2010
Posts
4
Solve the double angle equation
Im stuck on this question in my maths homework:
Solve the equation √3tan2x-1=0 for 0<X<π
Here is what i've done:
√3tan2x-1=0
tan2x=1/√3
Using trig identiti... | 4 | [
-0.02294921875,
-0.000812530517578125,
0.068359375,
0.0235595703125,
-0.056884765625,
0.020263671875,
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0.021240234375,
0.025146484375,
0.007568359375,
0.08837890625,
-0.064453125,
0.0279541015625,
0.042724609375,
0.05712890625,
0.027587890625,
0.01422119140625,
0.014282... | 33,182 | 33182 | |
Confidence Interval problem.
February 17th 2011, 10:21 AM
jhallett17
Confidence Interval problem.
I'm having trouble figuring out this question.
Suppose that we are interested in buying ball bearings from a certain manufacturer. We require very precisely manufactured ball bearings, and so we decide to inves... | 4 | [
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-0... | 33,183 | 33183 | |
Strange pure predicate calculus result, what went wrong?
August 9th 2010, 09:29 AM #1
Senior Member
Joined
Feb 2008
Posts
410
Strange pure predicate calculus result, what went wrong?
Hi guys. I came up with a "proof" for $\vdash(\exists x)Ax\to (y)Ay$, where $Ax$ is a prime formula, which is obviously fa... | 5 | [
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Subtracting Fractions
April 29th 2006, 12:36 PM
stomper12000
Subtracting Fractions
Rosa has 6 3/5 yards of material. Her new skirt will take 4 2/3 yards. How much material will she have left after the skirt is made?
Is this solved by using division or subtraction. It looks like subtraction to me but I can't... | 4 | [
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0.09228515625,
-0.003143310546875... | 33,185 | 33185 | |
Homework Help
Posted by Jin on Saturday, September 4, 2010 at 12:18am.
f(x)=8x^3+1x^2–8x+2/–7x^2–4x+9
Find the equation of the non-vertical asymptote.
y =
Does f(x) intersect its non-vertical asymptote? (yes or no)
What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ( Enter No in t... | 5 | [
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-0.0830078125... | 33,186 | 33186 | |
Quadratic Formula
June 8th 2007, 05:04 AM #1
Newbie
Joined
Feb 2007
From
Australia
Posts
20
Quadratic Formula
My teacher told me this, but i just want to make sure for my exams on monday, what is the the quadratic formula used to solve x intercepts in an equation when it is in turning point form?
... | 4 | [
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-0.0703125... | 33,187 | 33187 | |
Determinant, Change of basis
May 17th 2010, 03:12 AM #1
Newbie
Joined
May 2009
Posts
12
Determinant, Change of basis
Hi!
Let $V$ be a vector space, $\dim (V)=n$ and $\omega \in \mathrm{Alt}^n V,\ \omega eq 0$ an alternating form. Let $M$ be the change of basis matrix from the basis $a=(a_1,...,a_n)$... | 5 | [
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0.01403808... | 33,188 | 33188 | |
Linear word problems
January 23rd 2009, 02:30 AM #1
Junior Member
Joined
Dec 2007
Posts
41
Linear word problems
Please help me solve this problem by coming up with a linear algebra equation:
A biathlon event involves running and cycling. Kim can cycle 30km/h faster than she can run If Kim spends 48 ... | 4 | [
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0.02526855... | 33,189 | 33189 | |
Calculus of variations (with a non-smooth integrand)
December 13th 2013, 05:40 AM #1
Newbie
Joined
Dec 2013
From
london
Posts
5
Calculus of variations (with a non-smooth integrand)
Hey guys
I am currently somewhat stuck on a calculus of variations question. Normally I'd just use the Euler-Lagran... | 5 | [
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0.0546875,
0.00... | 33,190 | 33190 | |
Type II Error in Two-Tailed Test of Population Mean with Unknown Variance
In a two-tailed test of the population mean, the null hypothesis claims that the true population mean μ is equal to a given hypothetical value μ[0].
A type II error occurs if the hypothesis test based on a random sample fails to reject the null... | 5 | [
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0.051025390625,
0.004119873... | 33,191 | 33191 | |
Power Scaling for Spatial Modulation with Limited Feedback
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 718482, 5 pages
http://dx.doi.org/10.1155/2013/718482
Research Article
Power Scaling for Spatial Modulation with Limited Feedback
National Key Laboratory of Science and Technolo... | 4 | [
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0.0311279... | 33,192 | 33192 | |
How to solve inequality
October 16th 2012, 02:29 PM #1
Junior Member
Joined
Jul 2012
From
NY
Posts
40
How to solve inequality
$\sqrt[4]{2x + 1} - 0.1 < \frac{1}{2}x + 1 < \sqrt[4]{2x + 1} + 0.1$
I don't know how to do this because there is a 4th root in there which makes some terms have 4th powe... | 5 | [
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-0.034667968... | 33,193 | 33193 | |
Binary Trees
May 31st 2009, 03:32 PM
kurac
Binary Trees
Can someone please check my answers.
Let t be a binary tree with 2148 vertices.
1)Is it possible that the height of T is less than 8? No, because -1 + 2 ^(7+1) = 255.
If t is a full then:
2) the number of leaves? 2047
3) the number of... | 4 | [
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Parabolas
Section 6-5: Parabolas
... | 4 | [
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... | 33,195 | 33195 | |
Definitions
Next: Properties Up: Functions, continuity and differentiability Previous: Functions, continuity and differentiability
The study of differentiable functions is the study of functions that mimic the behaviour of polynomials ``approximately''. To begin with we must formally define the notion of approxima... | 4 | [
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linearizing a 2nd order ODE
November 15th 2009, 11:11 AM #1
Newbie
Joined
Oct 2009
Posts
2
linearizing a 2nd order ODE
what is the linearized form of the following and what is the method to get a linearized form?:
P*d^2P/dz^2 + (dP/dz)^2 +b*P(1-P) = 0
b=constant
P'(0)=0
P(1)=0.1
If... | 4 | [
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-0.0314941406... | 33,197 | 33197 | |
A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 171732, 7 pages
http://dx.doi.org/10.1155/2013/171732
Research Article
A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP ... | 4 | [
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... | 33,198 | 33198 | |
binomial distrib-how to calculate P(X>3 given n=15, success=.40)?
how would i do that with the calculator.... would that be 1-binomcdf(15,.40,2)?
it depends on the calculator. but recall that this is actually what you're doing: the probability of $k$ successes in $n$ trials is given by: $P(k) = {n \choose k}p^kq^{n-k}... | 4 | [
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