content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
If M is disconnected....
April 6th 2010, 11:08 AM #1
Junior Member
Joined
Apr 2010
Posts
43
If M is disconnected....
Let (M,d) be a metric space. Prove the equivalence of the following:
(i)M is disconnected
(ii)There exists two nonempty, disjoint closed sets in M whose union is M
(iii)There e... | 4 | [
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learance
Clearance Rate as an Expression of Drug Elimination Rate
Another method aside from renal excretion by which drugs are cleared from the body is through metabolism. However, it is not possible to measure directly the amount cleared by... | 4 | [
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tion
4B-1 : Radiation Heating and Convective Cooling of a Flat Plate 3 pts
A thin, metal plate is insulated on the back surface and exposed to solar radiation on the front surface, as shown here. The exposed surface... | 5 | [
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Analysis of Resistive Circuits
Analysis of Resistive Circuits
The following text is broken into several sections. Most are simply explanatory. You may skip directly to SCAM, a MATLAB® tool for deriving and solving circuit equations symbolically if you are
not interested in the theory.
All documents conde... | 5 | [
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Orthogonal basic && basic for the orthogonal complement
December 4th 2009, 06:50 AM
dolphin
Orthogonal basic && basic for the orthogonal complement
Hi guys,
I am stuck with this questions, and final is coming... I would be appreciate if anyone can help me to solve these questions.
Thanks
http://i188.... | 5 | [
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How to work out conjugating elements for group permutations?
Hey, I am trying to work out what y is (y is gamma) where
y^-1(14)(256)y=(145)(23)
Everywhere I look including wikipedia keep on using poor examples which leaves me not knowing what's going on, so any help would be great!
(Original post by ... | 5 | [
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Value at Risk: A New Methodology for Measuring Portfolio Risk
Home > Research & Data > Research Publications > Business Review > 1996 > Value at Risk: A New Methodology for Measuring Portfolio Risk
Value at Risk: A New Methodology for Measuring Portfolio Risk
Gregory P. Hopper*
The following article refers to tables... | 4 | [
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Bouncing Ball
Discussion of the Bouncing Ball Gravity Engine.
Restatement of the problem.
A ball bounces up and down between floor and ceiling. Both floor and ceiling are rigid and infinitely massive. The bounces are assumed elastic, that is, the ball's velocity after impact is the same
as before impact, but with re... | 4 | [
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Understanding Scale and Resolution
One of the more difficult questions to answer about a Bing map involves determining the exact scale or resolution of a particular image. The answer is complicated as resolution depends on several
factors including the current latitude and longitude. Scale is further dependent on scre... | 4 | [
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Applying Chaos Theory to Embedded Applications
Chaotic data sequences are found in nature in everything from turbulence in the weather to tumor growth in biological systems.
Chaotic sequences are the result of non-linear
differential equations
that govern physical systems, which for years have eluded closed form ... | 4 | [
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How do I calculate dew point
How do I calculate dew point when I know the temperature and the relative humidity?
Relative humidity gives the ratio of how much moisture the air is holding to how much moisture it could hold at a given temperature.
This can be expressed in terms of vapor pressure and saturation vapor pr... | 4 | [
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Conveyor Capacity
Screw Conveyor Engineering Guide: Conveyor Capacity
A capacity table is provided on the next section to aid you in calculation of proper conveyor size. To use this table, find the capacity at maximum RPM, opposite the recommended percentage of
conveyor loading, which equals or exceeds the capacity of... | 5 | [
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Real Analysis: proving the triangle inequalities
January 17th 2009, 07:25 PM #1
Newbie
Joined
Jan 2009
From
in the usa baby! pennsylvania is really really cold: negative wind chill? gotta be kidding me!
Posts
4
Real Analysis: proving the triangle inequalities
I am trying to prove one of the triangl... | 5 | [
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direct sum
November 16th 2010, 07:03 PM #1
Junior Member
Joined
Oct 2010
Posts
47
direct sum
Suppose x1,...., xn (where n>= 2) is a basis of a vector space V. Choose r in {1,....,n-1} and define
M= Span{x1,...,xr},
N= Span{xr+1,....xn}
show that V = M (direct sum) N
since need to show d... | 4 | [
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college prob + stat
July 18th 2006, 09:09 AM
magicpunt
college prob + stat
2 Questions:
1) There are 5 men and 5 women in a group. A committee is to be formed of 5 people. What is the probability that the group is all of the same sex (all men or all women)?
2) There are 10 people in an elevator in the ... | 5 | [
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the Parker-Sochacki
Application of the Parker-Sochacki Method to Celestial Mechanics
Joseph W. Rudmin
Physics Dept., James Madison University, Harrisonburg, VA 22807
Abstract:
We present a tutorial demonstrating the theory and usage of the Parker-Sochacki method of numerically solving systems of differential equat... | 5 | [
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The Dual Carrier ABSK System Based on a FIR Bandpass Filter
Open Access This article is
• freely available
• re-usable
Article
The Dual Carrier ABSK System Based on a FIR Bandpass Filter
^1
Department of Information Science and Engineering, Southeast University, Nanjing 210096, China; E-Mail:
wuln@seu.edu.cn
... | 4 | [
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Finding the function
December 10th 2012, 10:58 AM #1
Newbie
Joined
Dec 2012
From
Washington
Posts
3
Finding the function
I started but got stuck...
A Norman Window has the shape of a rectangle surmounted by a semicircle. It has a perimeter of 40 ft.
A) find the function that models the area ... | 5 | [
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Conditions for a process to be a martingale
November 28th 2009, 12:22 AM #1
Conditions for a process to be a martingale
Hi !
I'll give the introduction but it's not the main problem.
We have E a countable space of states. Q is an irreducible transition matrix. Let $(\Omega,\mathcal{F},(X_n)_n,\mathbb{P}_... | 5 | [
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Proposition 4
If a cubic number multiplied by a cubic number makes some number, then the product is a cube.
Let the cubic number A multiplied by the cubic number B make C.
I say that C is cubic.
Multiply A by itself to make D. Then D is a cube.
Since A multiplied by itself makes D, and multiplied by B makes C, the... | 4 | [
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Math Help
November 10th 2008, 12:00 AM #1
Maximum
Need help, I don't know what this trapezoid gutter really look like
1.) A trapezoid gutter is to be made from a strip of metal 22 in. wide, by bending up the edges. If the bases is 14 in. wide, what width across the top gives the greatest carrying capacity? ... | 4 | [
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Evaluation of Modulus of Elasticity and Modulus of Subgrade Reaction of Soils Using CBR Test
Elsa Eka Putri, N. S.V Kameswara Rao, M. A. Mannan
Civil Engineering, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88999, Malaysia
Correspondence to: Elsa Eka Putri, Civil Engineering, Universiti Malaysia Sabah, Kota Kin... | 4 | [
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Fractal Dimension of Population Distribution
3.7. Fractal Dimension of Population Distribution
Old definition of a fractal: a figure with self-similarity at all spatial scales.
Fractal is what will appear after infinite number of steps.
Examples of fractals were known to mathematicians for a long time, but the notio... | 4 | [
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Polynomial Multiplication
Polynomial Multiplication Problem
Consider the problem of multiplying two n digit integers. The algorithm that we learned in school involves multiplying each digit of one number times each digit of the other. This requires n^2
multiplications followed by some appropriately aligned additions. ... | 5 | [
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Dividend Discount Model, Pro Stock Analysis
The Dividend Discount Model (Gordon Equation) calculates the intrinsic value of a stock based on the present value of a company’s future dividends. The model is a powerful investing tool to evaluate
if a stock is over or undervalued compared to the market price. Professional... | 5 | [
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Math Practice Problems
MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!
Work Word Problems - Sample Math Practice Problems
The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to ... | 4 | [
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cumulative distribution function question
October 8th 2010, 12:44 PM
Sneaky
cumulative distribution function question
consider rolling a die.
S= {1,2,3,4,5,6}
P(s)=1/6 for all s in S
X= number on die so that X(s)=s for all s in S
Y= X^2
compute the cumulative distribution function Fy(y) = P(Y... | 4 | [
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Surface Evolver
Back to top of Surface Evolver documentation. Index.
Hessian, Eigenvalues, Eigenvectors, and Stability in the Surface Evolver
Our motto: The purpose of calculus is to turn every problem into a linear algebra problem.
Contents:
For background, see any decent linear algebra text, such as Strang [SG], ... | 4 | [
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Dimensional Analysis
June 8th 2008, 06:36 AM
moolimanj
Dimensional Analysis
I have got two final questions that are really stumping me. I cant figure how to do these. Any help would be great..!
June 8th 2008, 07:27 AM
TheEmptySet
a)
Quote:
Write out an equation using only the units and what you want... | 4 | [
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at
Replies: 2
This problem is driving me crazy. I got part(a) and I really think I'm doing (b) correctly but I'm not getting the same answer as my book.
Componants of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 30% contain one d... | 5 | [
-0.0036773681640625,
0.01129150390625,
0.030029296875,
-0.02294921875,
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0.00909423828125,
0.1064453125,
0.048583984375,
0.00531005859375,
0.038330078125,
0.0859375,
-0.05859375,
0.11962890625,
0.034912109375,
0.01177978515625,
0.046875,
0.035888671875,
-0.01... | 4,029 | 4029 | |
Chi-square distribution
A random variable has a Chi-square distribution if it can be written as a sum of squares:where , ..., are mutually independent standard normal random variables. The importance of the Chi-square
distribution stems from the fact that sums of this kind are encountered very often in statistics, esp... | 4 | [
0.02734375,
-0.01434326171875,
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0.044189453125,
0.002166748046875,
0.07373046875,
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0.02392578125,
0.076171875,
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0.08056640625,
0.056396484375,
0.09765625,
-0.0257568359375,
-0.01416015625,
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0.0002880096435546875,
-0.0... | 4,030 | 4030 | |
urgent hw....do help....probability densities
November 9th 2007, 03:08 AM #1
souhar
Guest
urgent hw....do help....probability densities
Hi i have the following problems as HW.......try to help me......urgent.......
1) If X and Y have a bivariate normal distribution and U=X+Y and V=X-Y find an expression for ... | 5 | [
-0.06396484375,
0.0252685546875,
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0.05810546875,
0.0038299560546875,
-0.0302734375,
-0.09130859375,... | 4,031 | 4031 | |
Statics problem
Can I get some help with problem 2.53 shown below?
let $\theta$ be the angle AB makes with the horizontal $\phi$ be the angle BC makes with the horizontal $T$ = wire tension $W$ = weight of aerailist $\sum{F_x} = 0$ $(T+35)\cos{\theta} = T\cos{\phi}$
$\sum{F_y} = 0$ $(T+35)\sin{\theta} + T\sin{\phi} = ... | 5 | [
-0.07470703125,
0.1103515625,
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0.03125,
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0.0191650390625,
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0.0012969970703125,
0.0169677734375,
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0.1162109375,
-0.03466796875,
-0.04418945312... | 4,032 | 4032 | |
Exponential and Logarithmic problems
July 24th 2007, 10:23 AM #1
Senior Member
Joined
Jul 2007
Posts
290
Exponential and Logarithmic problems
I can do such problems like
6^x+1 = 4^2x-1
but I can't figure out how to do
.05(1.15)^X = 5
Help =(
$\frac{1}{20}(\frac{23}{20})^{x}=5$
... | 4 | [
0.029052734375,
0.01324462890625,
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0.06591796875,
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0.0... | 4,033 | 4033 | |
Comprehending ultrafilters
This is the first of a projected two-part series of articles about ultrafilters. The former introduces ultrafilters and establishes various properties about them, so that the latter article can
concentrate entirely on applications of ultrafilters.
Much of this material is from P... | 4 | [
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0.022216796875,
0.07470703125,
-0.0209... | 4,034 | 4034 | |
Mac
With the advent of the Mac 2 and many third party Macintosh speed enhancers many engineers will now consider using the Macintosh for serious computation. Many of these engineers are currently using
mainframe computers where the graphics environment is primitive or nonexistant and where CPU time is expensive and has... | 5 | [
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0.0546875,
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-0.0... | 4,035 | 4035 | |
volume of a triangle type shape with a square bottom
#1 September 7th, 2013, 08:18 Thread Author
How do I find the volume of this shape? The bottom is a square in the xy plane where \(0\leq x,y\leq 1\).
The object isn't a prism or pyramid so I am not sure what to do.
c05.pdf
#2 September 7th, 2013, 09:2... | 5 | [
-0.005035400390625,
0.06396484375,
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Heaven
A person dies, and arrives at the gate to heaven. there are three doors. one of them leads to heaven. another one leads to a 1-day stay at hell, and then back to the gate, and the other leads to a
2-day stay at hell, and then back to the gate. every time the person is back at the gate, the three doors are reshu... | 4 | [
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-0.04150390625,
-0.0... | 4,037 | 4037 | |
Visualizing Lie Subalgebras using Root and Weight Diagrams
2.3 Weights and Weight Diagrams
An algebra \(g\) can also be represented using a collection of \(d \times d\) matrices, with \(d\) unrelated to the dimension of \(g\). The matrices corresponding to the basis \(h_1, \cdots, h_l\) of
the Cartan subalgebra can be... | 4 | [
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0.071777... | 4,038 | 4038 | |
infinite integrals
Member
Registered: 2005-08-22
Posts: 1,504
infinite integrals
Use y as the variable of integration to find the area between the graph of y = 1/x and the y axis from y = 1 to y = infinity
Ok. y = 1/x so x = 1/y. The length of each "rectangle" should be x and the width should be dy.
So ... | 5 | [
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second order differential eq
x^2 y" - x y' + y = 2 log x+ x^2 log x + x^2 + 1/x
You can also let $u = x y' - y$ so $u' = x y''$ so your equation becomes $xu' - u = 2 \log x+ x^2 \log x + x^2 + 1/x$ a first order linear equation. Once you solve it you then solve $xy' - y = u$
which also a first order linear equation.
| 4 | [
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Exercises in Set Theory: Ultrafilters and Boolean algebras
By fredw on Tuesday, November 27 2012, 14:10 - Permalink
Since my previous blog post, I have been working on exercises from chapter 7 of Thomas Jech’s book "Set Theory". I’ve published my solutions but I’m not yet done with exercises 7.22 and 7.28 which
seem ... | 5 | [
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0.01409912109375,
0.02880859375,
-0.0043640... | 4,041 | 4041 | |
Homework Help
Posted by bogoss on Saturday, March 12, 2011 at 1:52pm.
1) If the number 1,1/3,1/9, are terms of Geometric progression. Find its common ratio
2) If the second term of Geometric progression is equal to 3, and the 5th term is equal to 81/8. Find the 7th term.
3)If x,y,3 is a Geometric progression. Find t... | 4 | [
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0.051025390625,
0.0162353515625,
-0.09033203125,
... | 4,042 | 4042 | |
Hp testing
January 5th 2008, 11:31 AM #1
Member
Joined
Nov 2006
Posts
139
Hp testing
The following data on maximum weight of lift (MAWL, in kg) for a frequency of four lifts/min was
reported in the paper “The Effects of speed, Frequency, and Load on Measured Hand Forces for a
Floor-to-Knuckle Lif... | 5 | [
-0.0042724609375,
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0.0186767578125,
-0.00732421875,
... | 4,043 | 4043 | |
Vector Magnitude
December 4th 2008, 10:08 AM #1
Vector Magnitude
Question:
A vector $\b{X}$ with a magnitude of $8$, when combined with vector $\b{Y}$ has a sum of magnitude $16$. What is the value of $\b{Y}$?
Case 1:
$\b{X} + \b{Y} = 16$
$8 + \b{Y} = 16$
$\b{Y} = 8$
Case 2:
$\sqrt{\... | 4 | [
0.035400390625,
0.01031494140625,
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0.09814453125,
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... | 4,044 | 4044 | |
Tournament dice
In an earlier cp4space post, I presented a set of five 5-sided dice. We can draw a directed graph associated with this set of dice:
Each vertex represents a die. If die A beats die B with a probability greater than ½, we draw a directed edge from A to B. If two dice have equal probability of beating e... | 4 | [
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0.00982666015625,
0.020751953125,
-0.02416... | 4,045 | 4045 | |
Bessel differencial equation
February 8th 2007, 06:35 AM #1
Junior Member
Joined
Oct 2006
Posts
33
please please can someone hep me on this as i dont have a clue where to start. I know its a ,ong question but if someone coul do itthen would really give me a bse to understand the topic
thanks loads
... | 5 | [
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0.047119140625,
-0.0849609375,
0.0649414062... | 4,046 | 4046 | |
[SOLVED] easy complex number questions
October 22nd 2009, 10:17 PM
differentiate
[SOLVED] easy complex number questions
hi, could someone check the answers of these for me? btw, the book says that they are all wrong. i dont understand why.
1. If z = 2 + i, evaluate:
a) 3z = 6 + 3i
b) $(z-1)(z^2 + z... | 5 | [
-0.11328125,
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0.0576171875,
-0.0289306640625,
-0.0279541015625,
-0.06005859375,
-0.0104... | 4,047 | 4047 | |
RSAParameters Structure
May 11, 2014
Represents the standard parameters for the RSA algorithm.
Namespace: System.Security.Cryptography Assembly: mscorlib
(in mscorlib.dll)
public struct RSAParameters
The RSAParameters type exposes the following members.
Name ... | 4 | [
0.003021240234375,
0.041259765625,
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0.0067138671875,
-0.0308837890625,
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0.01519775390625,
0.01080322265625,
0.005645751953125,
-0.01055908203125,
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0.00396728515625,
0.049560546875,
0.0206298828125,
-0.0152587890625,
-0.01953125,
-0.0473632... | 4,048 | 4048 | |
Midterm 1 Oct 3, 2013 Math 484.002 25 questions, 3 pts each.
Name Vaserstein
No electronics is allowed. Return this page and the scantron.
Answers are in boldface
1. 2x - 1 is
(A) a linear equation for x, y, (B) an affine function of x,y,z, (C) a linear form in x,
(D) a linear constraint for x,y, (E) n... | 5 | [
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0.015625,
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0.0615234375,
-0.04736328125,
-0.0771484375,
-0.0439453125,
... | 4,049 | 4049 | |
limits of sequences with ln(n)
November 11th 2012, 05:07 PM #1
Newbie
Joined
Nov 2012
From
DK
Posts
17
Thanks
1
limits of sequences with ln(n)
I have a problem with these sequences: $\lim_{x\to\infty} \frac{ln(3n^2+20n+5)}{ln(n^9-3n+12)}$
$\lim_{x\to\infty} n ln(n^{2}+1)-2n(lnn)(lnn)^{1/n}$
... | 5 | [
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0.039794921875,
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0.06591796875,
-0.08837890625,
-0.025634765625,
-0.091796875,
-... | 4,050 | 4050 | |
GMAT Prep Tip: Prime Numbers and Factors -
GMAT News 6/25/10: GMAC announces new GMAT section Integrated Reasoning.
Rich Zwelling is one of the expert teachers of Knewton’s GMAT course. He’s never been shy about professing his love for prime numbers.
If you’re knee-deep in your GMAT prep (or still remember some of yo... | 4 | [
0.016357421875,
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0.0126953125,
0.09375,
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0.08349609375,
-0.0615234375,
0.035888671875,
-0.0008697509765625,
0.0751953125,
0.057373046875,
0.01483154296875,
0.048095703125,
0.01153564453125,
-0.0615234375,
-0.0009918212890625... | 4,051 | 4051 | |
Dr. Petric's Technical Blog
Problem
Let’s say that we have an integer value representing a 64-bit array (or bitmap) and we only care about some of the bits, say, every 9th one (i.e., the 1st, 9th, 18th, all the way to the 64th). We
would like to extract and gather those bits as efficiently as possible, i.e., create an ... | 5 | [
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0.0032501220703125,
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0.028076171875,
-0.00872802734375,
0.11... | 4,052 | 4052 | |
differential equations urgent homework!
December 23rd 2008, 01:23 AM #1
Newbie
Joined
Dec 2008
Posts
6
differential equations urgent homework!
Solve the differential equation y’ = y/x using the separation of variables
a. separate the variables in y’ = y/x
b. use integration to solve your equation... | 5 | [
-0.09716796875,
-0.0634765625,
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-0.0279541015625,
0.0751953125,
0.005645751953125,
0.08349609375,
-0.0986328125,
... | 4,053 | 4053 | |
TRANSPOSE
Returns a vertical range of cells as a horizontal range, or vice versa. TRANSPOSE must be entered as an array formula (array formula: A formula that performs multiple calculations on one or more sets
of values, and then returns either a single result or multiple results. Array formulas are enclosed between b... | 4 | [
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0.05078125,
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0.013916015625,
0.01263427734375,
0.08056640625,
-0.07275390625,
0.0493... | 4,054 | 4054 | |
Hippopede Coffman Deposit #12
1. The implicit equation in the xy-plane is
where a and b are positive constants. This is a curve with reflectional symmetry about both the horizontal and vertical axes.
2. Any Hippopede is the intersection of a torus with one of its tangent planes that is parallel to its axis of rotation... | 4 | [
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-0.047607421875,
0.0084228515625,
0.0194091796875,
-0.10888671875,
-0.06... | 4,055 | 4055 | |
Possible pathological properties of positive definite matrix
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Suppose $A$ is a positive definite matrix such that $$I \preceq A \preceq 1.01I.$$ Is it possible that $$\sum_{... | 5 | [
-0.061279296875,
-0.0576171875,
-0.06640625,
-0.0264892578125,
-0.08251953125,
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0.006072998046875,
-0.03955078125,
-0.018310546875,
0.0791015625,
-0.01757... | 4,056 | 4056 | |
MathGroup Archive: November 2003 [00441]
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Re: [Integrate] Why two results of same eq. are different?
• To: mathgroup at smc.vnet.net
• Subject: [mg44700] Re: [Integrate] Why two results of same ... | 5 | [
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... | 4,057 | 4057 | |
MathGroup Archive: March 2007 [00837]
[Date Index] [Thread Index] [Author Index]
Re: Self-teaching snag
• To: mathgroup at smc.vnet.net
• Subject: [mg74573] Re: Self-teaching snag
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.c... | 5 | [
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Posts about Uncategorized on CSSA
In part 1 of the series we introduced a three-factor model that decomposes momentum profitability and how that can be translated into a momentum score for an asset universe. In this post we will show
how momentum strategies can be profitable even under the conditions where the market... | 4 | [
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[SOLVED] Optmization - Cost
April 7th 2009, 03:23 PM
millerst
[SOLVED] Optmization - Cost
Question: A rectangular storage container is to have a volume of 10 meters cubed. The length of the base is twice the width. Material for the base costs $10 per square meter. Material for the
sides and top costs $6 per ... | 4 | [
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D. J. Bernstein
Integer factorization
Circuits for integer factorization
Calculating the cost exponents
The parameter space
Take any real numbers B > 0, D > 0, F >= 0, Y > 0 such that 2B - (1/D)/3Y - (1/D+BD)/3(Y-F) + F >= Y.
As far as we know, any key n can be factored by a (B,D,F,Y) NFS calculation. You can read... | 4 | [
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Maximising Power 1
The Spark Transmitter. 2. Maximising Power, part 1.
"I think a famous French mathematician and physicist was guilty of only slight exaggeration when he said that no discovery was really important or properly understood by it... | 4 | [
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Roller Coaster
Roller Coaster Loop Shapes
Physics Education 40, p 517 (2005)
Many modern roller coasters features loops. Although textbook loops are often circular, real roller coaster loops are not. In this paper, we look into the mathematical description of various
possible loop shapes, as well as their ri... | 5 | [
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Optimization Problems
October 31st 2007, 07:13 PM #1
Junior Member
Joined
Oct 2007
Posts
40
Optimization Problems
Well, back with some more. I'm just not understanding them; I don't get very far with them. Currently, I have 2 I do not understand.
1) A rectangle is to be inscribed under the arch of t... | 5 | [
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Improper integral, tarctan(t)/(1+t^2)^2, from 0 to infinity, convergent or divergent?
January 25th 2010, 11:28 AM #1
Newbie
Joined
May 2009
Posts
9
Improper integral, tarctan(t)/(1+t^2)^2, from 0 to infinity, convergent or divergent?
Hello,
I just had a quiz and I did not know how to do this questio... | 5 | [
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[SOLVED] Vectors: Work Question(Dot Product)
February 16th 2009, 08:51 AM
narutoblaze
[SOLVED] Vectors: Work Question(Dot Product)
If a 10N force, acting in the direction of the vector (1, 1), moves an object from P(-2, 1) to Q(5, 6), calculate the work done. The distance is in metres.
The work formula is W... | 4 | [
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stationary points of a function of 2 variables
May 10th 2008, 08:38 AM
a1007
stationary points of a function of 2 variables
hey i have this problem where
z = xy(6-x-y) when multiplying out and differentiating with respect to x i get:
dz/dx = 6y - 2xy -y^2 and y dz/dy = 6x - x^2 - 2xy
I understand ... | 4 | [
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[SOLVED] Derivative
First find the first derivative via chain rule: $\begin{array}{rcl}\displaystyle \frac{dy}{dx} & = & \displaystyle -2\sin \left(\frac{x}{2}\right) \cdot \left(\frac{x}{2}\right)' \\ & = & \
displaystyle -2\sin \left(\frac{x}{2}\right) \cdot \frac{1}{2} \\ & = & \displaystyle -\sin \left(\frac{x}{2}\... | 5 | [
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Phi coefficients, odds ratios and the F-word
Feb
4
Yes, I am the F-word – a feminist. I was at a faculty meeting this weekend and one of the presenters began by saying, pointing to a colleague in the audience,
“I am sure Dr. Y knows more about this than me.”
Several times in her presentation on analysis of assessme... | 4 | [
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variance of separations between random parameters
June 6th 2011, 05:45 AM #1
Junior Member
Joined
Jun 2011
Posts
56
variance of separations between random parameters
There are N points which are randomly distributed (according to a uniform probability distribution) over the circumference of a circle.
... | 5 | [
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A quantum theory of magnetism.
Link/Page Citation
In this paper, a new Quantum Theory of Magnetic Interaction is proposed. This is done under a relaxa... | 4 | [
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Fritz Hasenöhrl and E = mc
Find out how to access preview-only content
March 2013
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Volume 38
,
Issue 2
,
pp 261-278
Fritz Hasenöhrl and E = mc^2
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Abstract
In 1904, the year before Einstein’s seminal pa... | 4 | [
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Real World Calculus Lesson Plans & Worksheets | Lesson Planet
Real-World Calculus Teacher Resources
Find Real World Calculus educational ideas and activities
Showing 1 - 20 of 203 resources
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry students. This... | 4 | [
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Intersection of line and surface
March 10th 2010, 12:40 PM #1
Junior Member
Joined
Mar 2010
Posts
25
Intersection of line and surface
Find the coordinates of the points where the line
$x = t, y = 1 + t, z = 5t$
intersects the surface
$z = x^2 + y^2$
Last edited by mr fantastic; March ... | 4 | [
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Math Help
1+sinx/1-sinx=((1+tan(x/2))/(1+tan(x/2))^2 Need to prove it but cant get my head round it!!if anyone could help asap!!thanks!!
I hope what the op meant was: $\frac{1 + \sin{x}}{1 - \sin{x}} = \frac{1+tan({\frac{x}{2}})}{[1+tan({\frac{x}{2}})]^{2}}<br />$ since that is how I think it reads. (The square is ou... | 4 | [
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functions between sets
January 25th 2009, 07:27 PM
Eagle3
functions between sets
I need help with the following proof,
Let f: maps S to T and g: maps T to U.
1. If f and g are injective then g•f (composition) is injective
2. If f and g are surjective then g•f is surjective
3. If f and g are bije... | 5 | [
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OCR Physics A G482, Electrons, Waves and Photons, 25th May 2012
Seriously has no one done an unofficial markscheme??
also what did everyone get for the very last question? I think i did 0.8^2 / 0.6^2 *30mm = 53.3
(Original post by Sarabande)
How does it make sense in regards to the question that was a... | 4 | [
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Local Maximum and Minimum
Multivariable Calculus, Local Maximum and Minimum
Local Maximum and Minimum
If f is a function of several variables, where are the local maxima and minima? We already answered this question in one variable. The first derivative must be 0, and sometimes the second derivative
can be pressed in... | 4 | [
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A Quick and Dirty Derivation of the Maxwell Distribution
(We assume an idealized model where there are no interactions, no collisions, no external potential field, and all the particles are considered to be classical.)
We write the distribution of velocities as:
\[ \Delta n = \rho (v) \Delta v , \]
And then, employi... | 4 | [
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Polynomial equations in factored form
All equations are composed of polynomials. Earlier we've only shown you how to solve equations containing polynomials of the first degree, but it is of course possible to solve equations of a higher
degree.
One way to solve a polynomial equation is to use the zero-product propert... | 4 | [
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Finding limits at infinity - help on a couple problems
November 20th 2006, 10:36 AM #1
Newbie
Joined
Nov 2006
Posts
13
Finding limits at infinity - help on a couple problems
I managed to get the first couple questions in the section right..but as most of you know they get harder the farther you go. Curre... | 5 | [
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History of the Theory of Numbers
AMS Chelsea Publishing
1966; 1602 pp; hardcover
Volume: 86
Reprint/Revision History:
first AMS printing 1999; reprinted 2002
ISBN-10: 0-8218-1938-0
ISBN-13: 978-0-8218-1938-8
List Price: US$152
Member Price: US$136.80
Order Code: CHEL/86.H
Dickson's History is truly a monum... | 4 | [
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tion
2-D Convolution
Compute 2-D discrete convolution of two input matrices
Description
The 2-D Convolution block computes the two-dimensional convolution of two input matrices. Assume that matrix A has dimensions (Ma, Na) and matrix B has dimensions (Mb, Nb). When the block calculates
the full output size, the equ... | 5 | [
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Can someone please break this down for me?
What are you trying to do? Solve for x? Then: $x = -4\sqrt{x} + 12 \Rightarrow x - 12 = -4 \sqrt{x} \Rightarrow (x - 12)^2 = 16x \Rightarrow x^2 - 40x + 144 = 0$. One of the solutions to this
equation is the solution to $x = -4\sqrt{x} + 12$, the other is not (it's an extraneo... | 4 | [
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0.... | 4,084 | 4084 | |
Ma
DEtools[reduce_order] - reduce the order of an ODE using symmetries or solutions
Calling Sequence
reduce_order(ODE, symmetries, method, new_vars, keep_order, in_sequence, output = opts)
reduce_order(ODE, y(x)=solution1(x), y(x)=solution2(x), ..., new_vars, keep_order, in_sequence, output = opts)
reduce_orde... | 5 | [
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0.01373291015625,
-0.00341796875,
-0.04638671875,
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0.006591796875,
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0.11669921875,
0.076171875,
0.0147705078125,
-0.03271484375,
-0.0260009765625,
0.0208740234375,
-0.10400390625,
0.06... | 4,085 | 4085 | |
Some impossible integrals...
November 16th 2012, 04:15 AM #1
Newbie
Joined
Nov 2012
From
Lausanne
Posts
4
Some impossible integrals...
Hy everyone!
I don't know exactly how to use some symbols here, but i will denote with int(function) as being the integral of a function.
So I have 4 problems... | 5 | [
0.016357421875,
-0.038330078125,
-0.0087890625,
0.024169921875,
0.001800537109375,
-0.0419921875,
0.01397705078125,
0.00579833984375,
-0.0223388671875,
-0.02587890625,
0.044189453125,
0.0439453125,
0.0003528594970703125,
0.059326171875,
-0.053466796875,
-0.01446533203125,
-0.00337219... | 4,086 | 4086 | |
S
R1 = (a, b, c)
R2 = (a, d, e, f)
Functional Dependencies:
a → b,c
d → e
ad → f
Key: (a, d)
Compute closure:
d^+ = d, e
Decomposition:
R21 = (d, e)
R22 = (a, d, f)
Losslessnes guarantee: R21 ∩ R22 = (d) → R21
Result:
R1 = (a, b, c)
... | 5 | [
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0.03173828125,
0.0257568359375,
-0.10205078125,
0... | 4,087 | 4087 | |
Maturity value
August 4th 2009, 08:25 PM #1
Member
Joined
Nov 2008
From
windsor ont cAN
Posts
87
Maturity value
Payments of $1800 and $2400 were made on a $10 000 variable-rate loan 18 and 30 months after the date of the loan. The interest rate was 11.5% compounded semiannually for the first two year... | 4 | [
0.0145263671875,
0.035400390625,
-0.01043701171875,
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0.0361328125,
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0.095703125,
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0.0311279296875,
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-0.0185546875,
-0.006317138671875,
0.07470703125,
-0.0203857421875,
0.023437... | 4,088 | 4088 | |
Finding the eq. of tangent line to this curve..
June 17th 2012, 06:47 PM
kwonypoo
Finding the eq. of tangent line to this curve..
Hi! I'm struggling with this problem
Find an equation of the tangent line to the curve http://webquiz.ilrn.com/ilrn/formula...%7D%7D%7D&tr=1 at the point (1, 8).
I am stuck be... | 4 | [
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0.033447265625,
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0.11328125,
-0.11328125,
-0.07080078125,
... | 4,089 | 4089 | |
A Very simple equation
March 6th 2006, 10:31 PM #1
rabindraadhi
Guest
Hi, here is a small equation, Please solve for 2 values of x
Equation is: Tan(x) = x
Let's see who will solve for 2 correct values of x
rabindraadhi
Hi, here is a small equation, Please solve for 2 values of x
Equation is: ... | 5 | [
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0.033203125,
0.052978515625,
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-0.00145721435546875,
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0.01806640625,
0.03369140625,
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0.01300048828125,
0.0791015625,
0.04638671875,
-0.028076171875,
-0.039306640625,
-0.00805664062... | 4,090 | 4090 | |
Math Help
August 29th 2009, 05:20 PM #1
Senior Member
Joined
Nov 2008
Posts
425
Vectors
Find the equation of the line through the point (-5,-4,2) that intersects the line at vector r=(7,-13,8)+ t(1,2,-2) at 90 degrees. Determine the point of intersection.
So this is my work below, so far:
Vec... | 5 | [
-0.06787109375,
0.0240478515625,
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0.03076171875,
0.06787109375,
0.08203125,
0.055419921875,
-0.072265625,
0.047119140625,
0.022216796875,
-0.00592041015625,
0.0177001953125,
-0.01446533203125,
-0.08203125,
0.06298828125,
-0.0966796875,
-0.105957... | 4,091 | 4091 | |
Integral
November 28th 2012, 03:01 PM
Chipset3600
Integral
Hi MHF!
I'm trying to solve this integral $\int \sqrt[]{1-cos(x)}$
i deduced that if: $sin^2(x)=\frac{1-cos(2x)}{2}$
so: $sin^2(\frac{x}{2})=\frac{1-cos(x)}{2}$
then: $2sin^2(\frac{x}{2})=1-cos(x))$
$\int \sqrt{2sin^2(\frac{x}... | 5 | [
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0.053955078125,
-0.053710... | 4,092 | 4092 | |
Spherical Trigonometry
[Home Page] Support this web site
[Mathematics Page] ... | 5 | [
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... | 4,093 | 4093 | |
Urgend: Existence and Uniqueness
October 1st 2006, 10:22 AM
MT20
Urgend: Existence and Uniqueness
Greating again my friends,
I have just returned home today from heart surgery. I have these to tasks which I need to finish by tomorrow, but I'm still a little bit down and out from the operation.
I still f... | 4 | [
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More Differentiating w/ LN
March 17th 2007, 08:25 PM
zachb
More Differentiating w/ LN
I need to differentiate y = ln(e^-x + xe^-x)
so,
y' = lne^-x + lnex^-x
y' = lne^-x(1 + x)
If this is correct so far, what am I supposed to do next? And if I'm completely wrong, what's the correct way to do th... | 5 | [
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0.02001953125,
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0.03564453125,
-0.123046875,
0.04443359375... | 4,095 | 4095 | |
Econ Related - Marginal Cost and Average Cost
May 23rd 2013, 07:28 PM #1
Newbie
Joined
May 2013
From
Florida
Posts
1
Econ Related - Marginal Cost and Average Cost
Hello everyone,
I am struggling mightily with how find MC and AC from this equation TC = 35 + 5Q – 2Q^2 + 2Q^3
I've emailed my p... | 4 | [
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0.07421875,
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-0.0034637451171875,
-0.005096435... | 4,096 | 4096 | |
MATH 421: Previous
MATH 421: Previous final exams
John Beachy, Northern Illinois University
This file includes some HTML versions of previous finals exams I have given in Math 421 (Abstract Algebra II). Note that it uses HTML tags for subscripts and superscripts, so it is difficult to
decipher with an earlier viewer... | 4 | [
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Comparing Response Rates
December 22nd 2008, 01:47 AM #1
Newbie
Joined
Dec 2008
Posts
3
Comparing Response Rates
I have 2 adverts running.
The first advert gets 203 views and 4 people respond. That is 1.97% respond.
The second advert gets 191 views and just 1 person responds. That is 0.52% peop... | 5 | [
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Geometry Circles
1. April 28th 2009, 11:59 AM #1
2. April 28th 2009, 01:33 PM #2
A riddle wrapped in an enigma
Hi geometric,
There is quite a lot of explanation that should accompany these answers. I hope you've studied your circle theorems.
(a) $m \widehat{BC}=100^{\circ}$ becau... | 4 | [
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... | 4,099 | 4099 |