content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
the encyclopedic entry of progression
progression,
in mathematics,
sequence
of quantities, called terms, in which the relationship between consecutive terms is the same. An arithmetic progression is a sequence in which each term is derived from the preceding one by adding a
given number,
d,
called the common diffe... | 4 | [
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0.04... | 30,300 | 30300 | |
Need help with a u-substitution problem
Put $z=x^2,$ and the integral you'll get is a basic one, it comes from the derivative of secant.
No, you have to substitute back. And the 2 is in the denominator ! Because when subbing y=x², dy=2x dx ---> dx=dy/(2x) a way to check a result : Wolfram Mathematica Online Integrator... | 5 | [
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0.0947265625,
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Numerical Approximation of Higher-Order Solutions of the Quadratic Nonlinear Stochastic Oscillatory Equation Using WHEP Technique
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 685137, 21 pages
http://dx.doi.org/10.1155/2013/685137
Research Article
Numerical Approximation of Higher-Order Solutions of ... | 5 | [
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Particle Dispersion Behaviors of Dense Gas-Particle Flows in Bubble Fluidized Bed
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 616435, 14 pages
http://dx.doi.org/10.1155/2013/616435
Research Article
Particle Dispersion Behaviors of Dense Gas-Particle Flows in Bubble Fluidized Bed
^1College of Ch... | 4 | [
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Measurable Functions
September 25th 2011, 10:00 AM #1
Junior Member
Joined
Mar 2010
Posts
62
Measurable Functions
Let $(f_n)$ be a sequence of real-valued measurable functions on $[a,b]$. If $(f_n)$ converges to a function $f$ almost everywhere on $[a,b]$, prove that there exists a sequence $(E_n)$ of
... | 4 | [
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Some word problems. Please help!
July 20th 2010, 08:00 PM #1
Newbie
Joined
Jul 2010
Posts
6
Hi there, first post on these forums. So i require assistance for a couple of word problems and would greatly appreciate the help.
1)
A wheel is spinning at a rate of 220 rad/sec. Find the linear speed of ... | 4 | [
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Homework Help
Posted by Julie Jam on Wednesday, December 8, 2010 at 1:11pm.
A. 3x + y = 8
x-y =6
B. x- 1/2y =2
y=2x-4
C. x + 2y = 9
2y = -x + 13
I am not grasping the substitution method! Please help me.
• algebra - Reiny, Wednesday, December 8, 2010 at 1:40pm
Pick the equation for which it is easier to ... | 4 | [
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... | 30,306 | 30306 | |
Volume of body obtained by rotating around the x axis and y axis.
May 3rd 2012, 03:14 PM
orlacoon
Volume of body obtained by rotating around the x axis and y axis.
Hi,
If y= 4x^3+3x^2-4x-3, calculate the volume of the body obtained by rotating y around 1) the x axis 2) the y axis.
I'm at a bit of a los... | 4 | [
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Non-computable numbers
Page 2 of 3 Follow
... | 4 | [
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Hermitian vs. self-adjoint operators • /r/math
Hermitian vs. self-adjoint operators (self.math)
submitted by JCrossno
sorry, this has been archived and can no longer be voted on
I'm gearing up for my Quals and need to make sure I understand the difference in case it gets asked. Would you guys agree with this distinc... | 4 | [
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the encyclopedic entry of relational algebra
Relational algebra
, an offshoot of
first-order logic
(and of
algebra of sets
), deals with a set of
relations closed
under
operators
. Operators operate on one or more relations to yield a relation. Relational algebra is a part of
computer science
.
Relation alg... | 4 | [
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... | 30,310 | 30310 | |
[Haskell-beginners] Graham Scan exercise from Chapter 3 RWH
-Spoilers. Don't read if you want to do this exercise.
[Haskell-beginners] Graham Scan exercise from Chapter 3 RWH -Spoilers. Don't read if you want to do this exercise.
Michael Litchard michael at schmong.org
Thu Sep 2 20:21:45 EDT 2010
Below is my solutio... | 4 | [
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R for Ecologists: Putting Together a Piecewise Regression
August 19, 2012
By Nathan Lemoine
Piecewise regression comes about when you have ‘breakpoints’, where there are clearly two different linear relationships in the data with a sudden, sharp change in directionality. This crops
up occasionally in ecology when de... | 5 | [
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The number e as a sequence
June 28th 2011, 06:35 AM #1
Junior Member
Joined
Mar 2010
Posts
43
The number e as a sequence
I'm not comfortable with a certain proof that the sequence ${y_n} = 1 + \frac{1}{{1!}} + \frac{1}{{2!}} + \cdots + \frac{1}{{n!}}$ converges to the number e. The proof uses the fact th... | 4 | [
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the encyclopedic entry of integral-test
In
mathematics
, the
integral test for convergence
is a method used to test infinite
series
of
non-negative
terms for
convergence
. An early form of the test of convergence was developed in
India
by
Madhava
in the
14th century
, and by his followers at the
Kerala... | 4 | [
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... | 30,314 | 30314 | |
On the Potential of Least Squares Response Method for the Calibration of Superconducting Gravimeters
International Journal of Geophysics
Volume 2012 (2012), Article ID 741729, 11 pages
http://dx.doi.org/10.1155/2012/741729
Research Article
On the Potential of Least Squares Response Method for the Calibration of Supe... | 4 | [
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Wording of growth rates questions
January 9th 2013, 11:30 AM
mathDad
Wording of growth rates questions
Example in book: Energy consumption for some city is 7000 megawatts (MW) and increases at the rate of 2% per year.
a. Find the function which gives power consumption
The book gives
$P(1)=1.02$
... | 5 | [
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Linear Programming - LUP Decomposition
April 9th 2008, 07:58 PM
tcpipmen
Linear Programming - LUP Decomposition
please help solve the equation
1 5 4 | x1 = 12
2 0 3 | x2 = 9
5 8 2 | x3 = 5
by using an LUP decomposition.
I really want to see step by step solution to get L, U and P.
rega... | 5 | [
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check d differentiability
will d following function be differentiable at x = 0 ??? 1. cos(|x|)+|x| 2. sin(|x|)-|x|
Hi First one: If $h$ approaches zero from the right, we have: $\frac{f(x+h)-f(x)}{h} = \frac{cos(h)+h-1}{h}=\frac{cos(h)-1}{h}+\frac{h}{h} \to 1 \mbox{ as } h \to 0$ Now we approach from the left.
Note th... | 5 | [
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Please help with differentiation
September 20th 2012, 10:18 PM #1
Please help with differentiation
Problem -
Find all values of x=c so that the tangent line to the graph of
f(x) = 4x^3(14x^2 +7x-21)^2 at (c,f(c)) will be horizontal.
the the solution the book gives me is 4x^3(14x^2+7x-21)(28x+7) + ... | 5 | [
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0.0108642578125,... | 30,319 | 30319 | |
Finding Local Maximum & Minimum f(x)=x/(x^2+x+1)
November 5th 2012, 12:28 AM #1
Junior Member
Joined
Oct 2010
Posts
63
Finding Local Maximum & Minimum f(x)=x/(x^2+x+1)
I've been having alot of trouble with this question firstly i took the derivative of it and got (1-x^2)/(x^2+x+1)^2. Now to get the criti... | 4 | [
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Area under hyperbola
May 20th 2010, 11:19 AM #1
Junior Member
Joined
Nov 2009
Posts
30
Area under hyperbola
Hi!
Today I took a test and saw an interesting thing while I was cheating
It said that natural logarithm of x is the area under hyperbola 1/x starting from 1 to x.
Is there an easy way ... | 5 | [
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differential equations
May 13th 2009, 03:03 PM #1
Member
Joined
Sep 2008
Posts
239
differential equations
1. A particle, of mass 0.4kg, is projected vertically upwards with an initial speed of 30 m/s. at time ts after projection, the speed of the particle is v m/s
and the magnitude of the air resista... | 5 | [
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Linearly independent vectors
April 5th 2011, 08:19 PM #1
Junior Member
Joined
Mar 2011
Posts
27
Linearly independent vectors
(Note: the bold letters are vectors.)
"Suppose that v and w are vectors which are not parallel (so are linearly independent) and the following vector equation holds for some sc... | 4 | [
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Binomial Transforms of the Padovan and Perrin Matrix Sequences
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 497418, 7 pages
http://dx.doi.org/10.1155/2013/497418
Research Article
Binomial Transforms of the Padovan and Perrin Matrix Sequences
Department of Mathematics, Faculty of Science, Selcuk Unive... | 5 | [
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Supply Chain Coordination under Stock- and Price-Dependent Selling Rates under Declining Market
Advances in Operations Research
Volume 2012 (2012), Article ID 375128, 14 pages
http://dx.doi.org/10.1155/2012/375128
Research Article
Supply Chain Coordination under Stock- and Price-Dependent Selling Rates under Declinin... | 5 | [
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Unbiased estimators
April 29th 2009, 12:28 PM #1
Unbiased estimators
I think that's what this question's gearing towards anyway... I'm not 100% sure, hence how I haven't a clue what to do, even after skimming through my course notes. The question goes like this...
Suppose that $X_{1}$, $X_{2}$,..., $X_{n}$ ... | 5 | [
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Math Help
October 6th 2005, 04:30 AM #1
Junior Member
Joined
Oct 2005
Posts
29
Argh
Every week I always have to spend hours trying to understand what we did in the lesson, here's the latest thing that's making me feel worthless.
Solve the Quadratic Equation by completing the square leaving the answ... | 4 | [
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0.0849609375,
0.017822265625,
0.060791015625,
-0.010009765625,
0.04931640625,
... | 30,327 | 30327 | |
Polynomial Reduction Help
December 10th 2012, 08:58 PM #1
Junior Member
Joined
Nov 2012
From
Michigan
Posts
27
Thanks
1
Polynomial Reduction Help
Reduce to lowest terms:
$\frac {x^3+x^2+x+1}{x^3+3x^3+3x+1}$
I don't see how this can be factored to be reduced. Thanks.
The answer is $\f... | 4 | [
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... | 30,328 | 30328 | |
[SOLVED] Show that any root of the equation 5 + x - \sqrt{3+4x} = 0 is also a root...
March 29th 2008, 11:03 AM #1
[SOLVED] Show that any root of the equation 5 + x - \sqrt{3+4x} = 0 is also a root...
Question:
Show that any root of the equation $5 + x - \sqrt{3+4x} = 0$ is also a root of the equation $x^2 + ... | 4 | [
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-0.0294189453125,
-0.0546875,
0.004486083984... | 30,329 | 30329 | |
solving trig equations
November 14th 2007, 01:50 PM
checkmarks
solving trig equations
Solve each equation. 0 < x < 2pi
1. 3sinx = cosx
2. sin2x = sinx
Find the points of intersection of each pair of curves in the given interval.
y=sin2x, y=sinx
0 < x < 2pi
November 14th 2007, 02:29 PM
Soro... | 4 | [
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0.046142578125,
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0.062255859375,
-0.019287109375,
0.00823974609375,
-0... | 30,330 | 30330 | |
Quadratically Constrained Quadratic Program (QCQP)
Problem Definition
A QCQP has the following form:
Where H is a n x n sparse matrix (quadratic and bilinear terms) and f is a n x 1 vector (linear terms) containing the quadratic objective function, which is subject to the following constraints:
Linear Inequalities*
... | 5 | [
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another trig limit problem (but this time I think I know what im doing)
October 23rd 2012, 09:34 PM #1
Member
another trig limit problem (but this time I think I know what im doing)
Re: another trig limit problem (but this time I think I know what im doing)
Hello, kingsolomonsgrave!
$\displaystyle\lim_{\t... | 4 | [
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Is my proof correct?
October 17th 2011, 05:54 PM
joestevens
Is my proof correct?
I'm not sure if I proved the following correctly. (It is in a chapter on expectation, and I didn't use anything about expectation.) Any feedback would be greatly appreciated.
Problem:
Suppose that $X, Y,$ and $Z$ are nonneg... | 5 | [
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some simple logarithm questions
May 19th 2007, 05:48 AM #1
Newbie
Joined
May 2007
Posts
10
some simple logarithm questions
i am having some problems remebering how to do these any help would be appreciated
i) what power of 2 is equal to 37
ii) evaluate 10^2.3 and log10 0.326
iii) the power o... | 4 | [
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HEAT INDEX PROBABILITY FORECASTS
BACK TO THE FORECASTS
... | 4 | [
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Optimizing Route for Hazardous Materials Logistics Based on Hybrid Ant Colony Algorithm
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 752830, 6 pages
http://dx.doi.org/10.1155/2013/752830
Research Article
Optimizing Route for Hazardous Materials Logistics Based on Hybrid Ant Colony Algorithm
... | 4 | [
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0.000... | 30,336 | 30336 | |
Homework Help
Posted by naik on Tuesday, October 18, 2011 at 11:23pm.
Towers A and B are on the east-west line 125 m apart. Jojo, on the north of that line finds that the direction of towers A and B are N 39deg27mins E and N 50deg33mins W, respectively. How far is Jojo
from each tower?
• trigonometry - Reiny, Tuesd... | 4 | [
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matrix algebra
December 1st 2012, 06:11 PM #1
Junior Member
Joined
Sep 2012
From
Toronto
Posts
36
matrix algebra
Hi,
Consider the matrix A=
1 0 1
1 1 0
0 0 -1
a) find the characteristic polynomial of A
b) list the eigenvalues of A and their multiplicities
c) for the eig... | 5 | [
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-0... | 30,338 | 30338 | |
System of linear equations.
October 29th 2010, 02:39 PM #1
Newbie
Joined
Oct 2010
From
Florida
Posts
6
System of linear equations.
Hi! This is my first post and hopefully someone will be able to help me! I have tried this problem atleast 10 times but I am just getting frustrated... it's not working! ... | 4 | [
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One-Local Retract and Common Fixed Point in Modular Metric Spaces
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 672069, 8 pages
http://dx.doi.org/10.1155/2013/672069
Research Article
One-Local Retract and Common Fixed Point in Modular Metric Spaces
Department of Mathematics, King Abdulaziz University,... | 5 | [
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... | 30,340 | 30340 | |
Vector Space Morphisms (aka Linear Transformations)
Create a linear transformation from a variety of possible inputs.
FORMATS:
In the following, D and C are vector spaces over the same field that are the domain and codomain (respectively) of the linear transformation.
side is a keyword that is either... | 5 | [
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0.07... | 30,341 | 30341 | |
Help with Polar Coordinates
Determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ < 360°.
I would really like to help you, but I cannot deal with the fact you are saddled with a totally outdated system. Almost all modern mathematics does not recognized "two pairs of polar coordinates" as
meaningfu... | 4 | [
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-0.... | 30,342 | 30342 | |
Double Integral
April 7th 2005, 03:09 PM #1
Jojo B
Guest
Double Integral
A space is bounded by x = 0, y = 0, xy-plane, and the plane: 3x + 2y + z = 6. Find the volume using a double integral.
First find the region in the xy plane where the function intersects the x and y axes. Looks like a triangle in this c... | 5 | [
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-0.0... | 30,343 | 30343 | |
Inference from table
February 19th 2011, 05:05 AM #1
Junior Member
Joined
Oct 2010
Posts
61
Inference from table
the Question Description is: Survey Created Among Families about the Their Expenditure In a week.
in the picture you can see the Information.
1) Question i asked to find the Expendi... | 4 | [
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... | 30,344 | 30344 | |
[SOLVED] Mathematical Expectation (Continuous Prob Dist.)
December 6th 2009, 12:12 AM #1
Junior Member
Joined
Nov 2009
Posts
60
4.56 walpole
The total time, measure in units of 100 hours, that a teenager runs her stero set over a period of one year is a continuous random variable X that has the densi... | 4 | [
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-0.1015625... | 30,345 | 30345 | |
Write a rule for f(x) = a^x where a is a constant
March 17th 2008, 05:22 PM
ffezz
Write a rule for f(x) = a^x where a is a constant
Hi
I need to write a rule for the derivative of $f(x) = a^x$ where a is a constant. I was thinking of $xa^x-1$ but my teacher said that is not what he is looking for. By the way... | 5 | [
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0.... | 30,346 | 30346 | |
need help on dual spaces
September 10th 2009, 06:29 PM
Morgan
need help on dual spaces
Let $\alpha = \{v_1,v_2\}$ be a basis for $V$ and $\beta^* = \{(v_1 + v_2)^*,(v_1 - v_2)^*\}$ where $v_1^*,v_2^*$ is the canonical basis of the dual. Prove that $\beta^*$ is basis of $V^*$ and $
(v_1 + v_2)^*e v_1^* + v_2^... | 5 | [
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-0.06494140625,
0.039550... | 30,347 | 30347 | |
Linear transformations
October 9th 2010, 06:41 AM #1
Member
Joined
Apr 2010
Posts
156
Linear transformations
Find the 2 x 2 matrix that represents a reflection in the line y = xtanalpha followed by a reflection in the line y = xtanbeta, where alpha, beta are constants. What is the linear map represented
... | 5 | [
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0.060791015625,
-0.080078125,
-... | 30,348 | 30348 | |
Solvability for a Discrete Fractional Three-Point Boundary Value Problem at Resonance
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 601092, 7 pages
http://dx.doi.org/10.1155/2014/601092
Research Article
Solvability for a Discrete Fractional Three-Point Boundary Value Problem at Resonance
School of Mat... | 5 | [
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Probability and statistics blog
Head down to your local hardware store and pick up a smoke detector. Pop off the cover and look inside. You’ll see a label that mentions Americium 241, a radioactive isotope. Put on your HEV suit,
grab a pair of tweezers and a fine-tipped pen, and remove the 0.3 millionths of a gram of A... | 4 | [
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-0.... | 30,350 | 30350 | |
Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 498457, 14 pages
http://dx.doi.org/10.1155/2013/498457
Research Article
Computing Eigenvalues of Discontinuous Sturm-L... | 5 | [
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-0.00... | 30,351 | 30351 | |
A Modified PSO Algorithm for Minimizing the Total Costs of Resources in MRCPSP
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 365697, 18 pages
http://dx.doi.org/10.1155/2012/365697
Research Article
A Modified PSO Algorithm for Minimizing the Total Costs of Resources in MRCPSP
^1Department of Ind... | 4 | [
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gradient function
October 8th 2006, 11:56 AM #1
Newbie
Joined
Oct 2006
Posts
8
gradient function
can someone help with this question please
"the gradient function of y=ax^2 + bx + c is 4x+2. The function has a minimum value of 1. Find the values of a, b and c"
The gradient function is the deriv... | 4 | [
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-0.... | 30,353 | 30353 | |
Challenging Trigonometry Question
June 11th 2007, 01:14 PM #1
Newbie
Joined
Jun 2007
Posts
2
Challenging Trigonometry Question
Triangle ABC is such that AC=BC and AB/BC = r
Show that cos A + cos B + cos C = 1 + r -(r^2/2)
My proof is a bit long winded. i'm sure someone else will come up with a ... | 5 | [
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0... | 30,354 | 30354 | |
Research on Longitudinal Vibration Characteristic of the Six-Cable-Driven Parallel Manipulator in FAST
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 547416, 8 pages
http://dx.doi.org/10.1155/2013/547416
Research Article
Research on Longitudinal Vibration Characteristic of the Six-Cable-Driven Para... | 4 | [
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0.01336669921875,
-0.047607421875,
-0.072265625,
0.0283203125,
0.01019287109375,
0.074707031... | 30,355 | 30355 | |
t-test, Two Dependent Samples
t-test, Two Dependent Samples (Jump to: Lecture | Video )
Let's perform a dependent samples t-test: Researchers want to test a new anti-hunger weight loss pill. They have 10 people rate their hunger both before and after taking the pill. Does the pill do
anything? Use alpha = 0.05
Ste... | 5 | [
-0.01123046875,
0.00433349609375,
-0.01092529296875,
0.0028228759765625,
0.08154296875,
0.010498046875,
0.021728515625,
0.1259765625,
0.008056640625,
0.08447265625,
0.0279541015625,
-0.0478515625,
-0.040771484375,
0.0142822265625,
0.04931640625,
-0.09033203125,
0.04638671875,
-0.12... | 30,356 | 30356 | |
PV Circuit Sizing & Current Calculations: Page 2 of 2
The second calculation and comparison is outlined in 690.8(B)(2)—690.8(B)(2)(b) in the 2011 version. Here, after conditions of use have been applied, we compare the conductor’s ampacity to the
maximum current as calculated in 690.8(A). This section does not require... | 4 | [
0.01123046875,
0.09375,
-0.03515625,
-0.0002841949462890625,
0.0115966796875,
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0.050537109375,
0.134765625,
-0.040283203125,
0.055419921875,
-0.040771484375,
-0.039794921875,
0.115234375,
0.0157470703125,
0.0003337860107421875,
0.076171875,
0.041259765625,
-0.0476074... | 30,357 | 30357 | |
Multiple regression coefficents
February 5th 2011, 07:58 AM #1
Newbie
Joined
Dec 2009
Posts
9
Multiple regression coefficents
Hi there, im currently working on a research project that requires making usage of multiple regression.
I am really struggling to find any proofs or methods of derivation for... | 4 | [
-0.042724609375,
-0.04052734375,
0.0115966796875,
0.0174560546875,
0.06494140625,
0.09130859375,
-0.0634765625,
-0.0299072265625,
-0.005279541015625,
0.04296875,
0.000568389892578125,
-0.038818359375,
0.04638671875,
-0.01141357421875,
-0.013916015625,
0.12451171875,
-0.050048828125,
... | 30,358 | 30358 | |
Heapsort
Sorting algorithms
Heapsort
With its time complexity of O(n log(n)) heapsort is optimal. It utilizes a special data structure called heap. This data structure is explained in the following.
Definition: Let T = (V, E) an almost complete binary tree with a vertex labelling a : V M that assigns to each ve... | 4 | [
-0.023193359375,
0.08544921875,
0.00421142578125,
-0.0194091796875,
0.01220703125,
-0.057373046875,
-0.01409912109375,
0.01361083984375,
0.061767578125,
0.04296875,
0.0174560546875,
0.0032806396484375,
0.03759765625,
0.046142578125,
-0.027587890625,
0.0027008056640625,
0.02685546875,... | 30,359 | 30359 | |
Completing the Square
check attachment. Need help with this ASAP. Can e-mail solution to bunaboo@hotmail.com Thanks.
What will you do with A after that? Nothing. And you so you cannot continue with your purpose. In "completing the square", make sure first that the coefficient of the x^2 is unity or 1. You have Ax^
2. ... | 4 | [
-0.0203857421875,
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0.04638671875,
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0.07470703125,
-0.068359375,
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0.0625,
-0.08154296875,
0.0498046875,
-0.053955078125,
0.002166748046875,
-0.058837... | 30,360 | 30360 | |
Limiting behavior of a sequence
January 22nd 2011, 09:05 PM #1
Senior Member
Joined
Apr 2010
Posts
487
Limiting behavior of a sequence
The question:
Describe the limiting behaviour of the following sequence. If the sequence converges, then state its limit.
$\frac{(2n)!}{(n!)^2}$
I'm not su... | 5 | [
-0.022216796875,
-0.1455078125,
-0.041259765625,
0.0198974609375,
-0.01226806640625,
0.0654296875,
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-0.00848388671875,
-0.002197265625,
-0.0294189453125,
0.053955078125,
0.03173828125,
-0.04833984375,
0.0673828125,
-0.052490234375,
0.031982421875,
0.053955078125,
-0.... | 30,361 | 30361 | |
Convergence in Distribution of Some Self-Interacting Diffusions
Journal of Probability and Statistics
Volume 2014 (2014), Article ID 364321, 13 pages
http://dx.doi.org/10.1155/2014/364321
Research Article
Convergence in Distribution of Some Self-Interacting Diffusions
Université de Lorraine, Institut Elie Cartan Lor... | 4 | [
-0.056640625,
-0.11376953125,
0.0269775390625,
0.044921875,
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0.0250244140625,
0.0908203125,
-0.0223388671875,
0.03564453125,
0.03759765625,
0.0118408203125,
-0.01904296875,
-0.04150390625,
-0.08544921875,
0.04345703125,
-0.0942382812... | 30,362 | 30362 | |
Vectors in 3 space
December 4th 2006, 04:45 PM
pakman
Vectors in 3 space
Find the equation of the plane through point (-1, -2, 3) and perpendicular to both the planes x - 3y + 2z = 7 and 2x - 2y - z = -3. Please help, final tomorrow and I'm confused on this. I know
how to find the equation given 3 points but... | 5 | [
-0.06298828125,
-0.056640625,
-0.038818359375,
-0.0137939453125,
0.0142822265625,
0.007781982421875,
0.033447265625,
-0.036865234375,
-0.0181884765625,
0.056396484375,
0.0233154296875,
-0.050537109375,
0.03955078125,
0.040771484375,
-0.032958984375,
-0.03076171875,
-0.09765625,
-0.... | 30,363 | 30363 | |
Volume formula for cap of sphere
September 11th 2006, 11:52 AM
HelpPlease
Volume formula for cap of sphere
A hemispherical bowl of radius r contains water to a depth height h. Give a formula that you can use to measure the volume of the water in the bowl.
September 11th 2006, 12:27 PM
ThePerfectHacker
I w... | 5 | [
0.03173828125,
0.06689453125,
0.00335693359375,
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0.0224609375,
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0.07861328125,
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-0.060791015625,
0.0235595703125,
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0.1123046875,
-0.03466796875,
-0.05615234375,
-0.033447265625,
0.025024414... | 30,364 | 30364 | |
Show that an object is a tensor
March 23rd 2011, 07:12 PM #1
Member
Joined
Aug 2008
Posts
88
Show that an object is a tensor
Suppose that an object with two indices has the property that $A(\mu,u)C^{\muu}$ is a scalar for any arbitrary tensor $C^{\muu}$. Show that $A(\mu,u)$ is a tensor.
Hint: star... | 5 | [
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-0.01806640625,
0.0189208984375,
-0.06884765625,
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0.035888671875,
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0.0458984375,
-0.015625,
0.0693359375,
-0.01806640625,
0.05224609375,... | 30,365 | 30365 | |
Arnowitt-Deser-Misner formalism
From Scholarpedia
Stanley Deser (2008), Scholarpedia, 3(10):7533. doi:10.4249/scholarpedia.7533 revision #91002 [link to/cite this article]
The Arnowitt-Deser-Misner formalism (ADM formalism) is an approach to General Relativity, and more generally to gauge theories, which was develo... | 4 | [
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-0.01422119140625,
0.01556... | 30,366 | 30366 | |
help with total differentiation
October 29th 2009, 02:50 AM #1
Junior Member
Joined
Aug 2009
Posts
53
help with total differentiation
Hello,
If w=f(ax+by) I am asked to show -please read w[x] as partial derivative fo w w.r.t.x- that: bw[x]-aw[y]=0 this tells me that the difference of a ccahnge in th... | 5 | [
-0.06103515625,
-0.01361083984375,
-0.019287109375,
0.01007080078125,
0.00958251953125,
-0.01458740234375,
0.0732421875,
-0.0079345703125,
-0.004913330078125,
0.07080078125,
0.07470703125,
0.01544189453125,
-0.003021240234375,
0.0196533203125,
0.01519775390625,
0.0673828125,
-0.10205... | 30,367 | 30367 | |
A "system of equations" question and....
December 16th 2007, 07:54 AM #1
Member
Joined
Dec 2007
Posts
98
A "system of equations" question and....
First my math question....
I am asked to solve this
$2x+5y=-2$
$15y=-6-6x$
I followed these examples Systems of Equations - Solve by additio... | 4 | [
-0.08935546875,
0.002593994140625,
-0.00860595703125,
0.00653076171875,
0.099609375,
-0.004241943359375,
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0.016845703125,
0.00860595703125,
0.046875,
0.130859375,
0.0250244140625,
0.050048828125,
-0.0002536773681640625,
-0.018798828125,
0.0810546875,
-0.06298828125,
... | 30,368 | 30368 | |
A Tradeoff between Rich Multipath and High Receive Power in MIMO Capacity
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 864641, 7 pages
http://dx.doi.org/10.1155/2013/864641
Research Article
A Tradeoff between Rich Multipath and High Receive Power in MIMO Capacity
State Key Laborat... | 4 | [
0.03662109375,
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-0.0203857421875,
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0.03662109375,
0.00872802734375,
0.09912109375,
0.0966796875,
0.020751953125,
-... | 30,369 | 30369 | |
Stability and Hopf Bifurcation Analysis for a Stage-Structured Predator-Prey Model with Discrete and Distributed Delays
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 201936, 10 pages
http://dx.doi.org/10.1155/2013/201936
Research Article
Stability and Hopf Bifurcation Analysis for a Stage-Structured P... | 5 | [
-0.00001043081283569336,
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0.02099609375,
0.0238037109375,
-0.036376953125,
0.046875,
-0.0419921875,
0.01... | 30,370 | 30370 | |
partition of unity
September 11th 2009, 05:36 AM
yemino
partition of unity
Hi, I have the follow question:
Construct a function $\phi\in C_c^\infty (\mathbb{R})$ such that $\phi\geq 0$, $supp\phi\subset (-1,1)$
$\psi_n(x)=\phi(x-n)/\displaystyle_{m\in\mathbb{Z}}\phi(x-m),\;\;\; n\in\mathbb{Z}$
are... | 4 | [
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0.0113525390625,
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0.0213623046875,
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-0.07958984375,
0.0181884765625,
-0.1123046875,
-0.0... | 30,371 | 30371 | |
inverse of function
September 20th 2012, 10:00 PM #1
Newbie
Joined
Sep 2012
From
shiraz
Posts
4
inverse of function
Hi every one
I'm Reza civil engineering student
I faced a problem I need to inverse this function
y = a*x + b*x^n
in the domain of [0,inf)
and i tried matlab and... | 5 | [
-0.123046875,
-0.0252685546875,
-0.015380859375,
0.0419921875,
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0.04931640625,
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0.023681640625,
0.11181640625,
-0.045166015625,
-... | 30,372 | 30372 | |
Institute for Mathematics and its Applications (IMA)
Consider the Dirichlet problem in a Lipschitz domain in the plane. Suppose that the boundary data is in BMO. I will show that, if the coefficients have small imaginary part and are independent of one
of the coordinates, then solutions to the Dirichlet problem satisfy... | 4 | [
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-0.0257568359375,
-0.07080078125,
-0.0166015625,
0.059326171875,
-0.0... | 30,373 | 30373 | |
period and amplitude
September 27th 2007, 12:20 PM
Mr_Green
period and amplitude
Find the amplitude and period of:
y=5sin(2x) + 4sin(7x)
i got 8.886 for the amplitude
how do i get the period?
thanks
September 27th 2007, 09:52 PM
earboth
Quote:
Hello,
you have to consider 2... | 4 | [
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0.0025787353515625,
0.0458984375,
-0.0087890625,
-0.09375,
0.005035... | 30,374 | 30374 | |
essential singularity
April 24th 2010, 08:24 PM #1
Member
Joined
Dec 2008
Posts
154
essential singularity
prove that $\Sigma_{j=1} ^\infty 2^{-2^j} z^{-j}$ converges for $z eq 0$ and defines a function which has an essential singularity at P=0.
The series...
$\varphi(z)= \sum_{j=1}^{\infty} \fr... | 5 | [
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-0.03857421875,
0.0023956298828125,
-0.1206054... | 30,375 | 30375 | |
Circles Within Circles
September 25th 2008, 06:29 PM #1
Newbie
Joined
Sep 2008
Posts
6
Circles STILL IN NEED OF HELP
This is just a rough drawing of what is needed to be found.
Here's the equation:
A botanist has been studying tree rings for a certain species of tree. A cross-section of a tree ... | 4 | [
0.053466796875,
0.034423828125,
-0.034423828125,
0.042236328125,
0.041015625,
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0.064453125,
0.06494140625,
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0.01068115234375,
-0.01611328125,
0.027099609375,
-0.014404296875,
-0.00677490234375,
0.01068115234375,
-0.0947265625,
0.0444335... | 30,376 | 30376 | |
Existence of Bounded Positive Solutions for Partial Difference Equations with Delays
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 191254, 21 pages
http://dx.doi.org/10.1155/2012/191254
Research Article
Existence of Bounded Positive Solutions for Partial Difference Equations with Delays
^1Department o... | 5 | [
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0.01409912109375,
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-0.00860595703125,
0.000217437744140625,
-0.05810546875,
-0.0279541015625,
-0.0444335... | 30,377 | 30377 | |
Help setting integral limits for P(X1 <X3 -X2)
July 4th 2012, 11:35 PM
Len
Help setting integral limits for P(X1 <X3 -X2)
Let (X1 ,X2, X3) be i.i.d. r.v.'s with common probability density function
f(x)= e^(-x), 0 <x and 0 otherwise
Find P(X1 <X3 -X2)
I'm having a difficult time setting up my integ... | 5 | [
0.0084228515625,
-0.01239013671875,
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0.022216796875,
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-0.0234375,
-0.0625,
-0.048828125,
0.015625,
-0.044921875,
0.06201171875,
0.002410888671875,
0.10009765625,
-0.05078125,
0.037841796875,
-0.09423828125,
-0.04101... | 30,378 | 30378 | |
Zorn's Lemma
September 5th 2009, 09:37 AM #1
Member
Joined
Jul 2009
Posts
168
Zorn's Lemma
I am supposed to know how to use Zorn's Lemma on a final exam of the course Discrete Math, but I only had a few chances to practice it (and only about 1 of them were by me, only).
Where can I find questions ab... | 4 | [
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0.08837890625,
-0.0576171875,
0.00799560546875,
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0.017333984375,
0.095703125,
-0.01031494140625,
-0.0186767578125,
-0.01531982421875,
-0.0634765625,
0.022827... | 30,379 | 30379 | |
Fresnel Lens with Embedded Vortices
International Journal of Optics
Volume 2012 (2012), Article ID 249695, 7 pages
http://dx.doi.org/10.1155/2012/249695
Research Article
Fresnel Lens with Embedded Vortices
^1Department of Physics, Indian Institute of Technology Delhi, New Delhi 110016, India
^2Laser Science and Tech... | 4 | [
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-0.01495361328125,
-0.0198974609375,
0.03344... | 30,380 | 30380 | |
Help me with my calc final take home!
May 13th 2007, 03:23 PM #1
Newbie
Joined
Apr 2007
Posts
20
Help me with my calc final take home!
Antiderive:
a) 3-x/1+9x^2 (split the fraction it says)
b) sin(-2x)/[1-cos(2x)]^5
c) -2/sqroot(9-x^2)
d) cox(x)/1+sin^2(x)
2. Consider that graph... | 5 | [
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0.13671875,
-0.06201171875,
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0.0169677734375,
0.0419921875,
-0.02734375,
0.02197265625,
0.05810546875,
-0.113... | 30,381 | 30381 | |
Complex Gradient Question
January 5th 2010, 02:37 AM #1
Newbie
Joined
Jan 2010
Posts
5
Complex Gradient Question
I'm doing some algebraic mistake because I think my method is right.
The question is to find the gradient of $(p+q-1, q+p-3)(p-q+1, q-p+3)$
My attempt for the question is.
$\fra... | 4 | [
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0.002685546875,
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0.02587890625,
-0.0673828125,
0.1162109375,
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-0.01708984375,
0.032958984375,
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0.005035400390625,
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0.050048828125,
0.05859375,
-0.00445556640625,
-0.0244140625,
-0.053955078125,
-0.0202... | 30,382 | 30382 | |
relative error graph
April 24th 2010, 11:31 AM #1
Newbie
Joined
Apr 2010
Posts
2
relative error graph
can u pls solve this? i tried all what i know.
the elationship between the resistance R of the thermistor and the temperature is given by
(1/T)-1.129241*10^(-3)=2.341077*10^(-4)*log(R)+8.775468*... | 5 | [
-0.078125,
0.056884765625,
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-0.048828125,
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0.138671875,
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0.0118408203125,
0.0361328125,
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0.0712890625,
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0.04931640625,
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0.017578125,
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Crude Oil Price Prediction Based on a Dynamic Correcting Support Vector Regression Machine
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 528678, 7 pages
http://dx.doi.org/10.1155/2013/528678
Research Article
Crude Oil Price Prediction Based on a Dynamic Correcting Support Vector Regression Machine
Col... | 4 | [
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Calculating derivitive from trig equation
April 5th 2008, 06:35 AM #1
Newbie
Joined
Feb 2008
Posts
14
Calculating derivitive from trig equation
Hi, i need to calculate the derivitive from the following formular:
y = 3sin (PIE * t / 12) : t is a variable and PIE is 3.14 etc
I think its: y = PIEc... | 5 | [
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0.0703125,
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0.0220947265625,
0.016601... | 30,385 | 30385 | |
Proof of a limit of an infinite sequence
Find and prove
$\lim_{n\rightarrow\infty}(\sqrt{n+3} - \sqrt{n})$
Re: Proof of a limit of an infinite sequence
I'm thinking of rationalizing it first, also I can see that the limit approaches 0
Re: Proof of a limit of an infinite sequence
That sounds good- ... | 5 | [
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0.0155639... | 30,386 | 30386 | |
Cyclic group problem
Let G be a group of order 25. Prove that G is cyclic or g^5=e for all g in G.
Well, it is either cyclic or not. Suppose it is not cyclic and choose an element g in G. The order of g, <g>, must divide the order of G, so <g> divides 25 or <g> is 1 or 5 or 25. In every case, the
result holds true.
O... | 5 | [
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... | 30,387 | 30387 | |
Solve for t
December 3rd 2012, 02:28 PM
sakonpure6
Solve for t
I have the following equation $y=-20cos225t+50$ If i set y= 60 and i solve i get root 2 over 2, howevef if i sub that back in the equation, i don't get 60 but I get about 68! Any help is
appreciated. Here is what i did:
$60=-20cos225t+50$
... | 4 | [
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factoring a quadrinomial
November 18th 2008, 05:23 AM
Canadian0469
factoring a quadrinomial
Hi,
I'm trying to factor $-x^3+3x+2$ so I can find the zeros (well its actually part of a linear algebra prob. for which I need to find the eigenvalues) but I can't figure out how to factor it...
even after consu... | 4 | [
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Nonfree projective module over a regular UFD?
up vote 16 down vote favorite
5
What is the simplest example of a domain $R$ which is regular (in particular Noetherian) and factorial which admits a finitely generated projective module that is not free?
In fact I'll be at least somewhat happy with any example, since I c... | 5 | [
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the encyclopedic entry of elliptic paraboloid
In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a
maximum or minimum point. In a suitable coordinate system, it can be represented... | 4 | [
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0.0086669921875,
-0.0563... | 30,391 | 30391 | |
Exploring the Cooccurrence Patterns of Multiple Sets of Genomic Intervals
BioMed Research International
Volume 2013 (2013), Article ID 617545, 7 pages
http://dx.doi.org/10.1155/2013/617545
Research Article
Exploring the Cooccurrence Patterns of Multiple Sets of Genomic Intervals
^1Department of Biostatistics and Bio... | 4 | [
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Rate Problem
November 8th 2009, 07:52 PM #1
Junior Member
Joined
Sep 2009
Posts
25
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x,
calculate the derivative whe... | 4 | [
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0.0218505859375,
-0.0397949218... | 30,393 | 30393 | |
Absolute error minimal supremum
July 22nd 2006, 01:39 PM
OReilly
Absolute error minimal supremum
This is definition from book:
1. Number $\Delta (x') = \left| {x - x'} \right|$ represents absolute error of number $x'$
Then it says that in real life is often impossible to find out value of absolute erro... | 4 | [
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Simultaneous equation for two unknowns
April 13th 2010, 11:37 PM
alis88
Simultaneous equation for two unknowns
Hello
Please could someone rearrange and show the steps for solving simultaneous equations for 2 unknowns, please? The unknowns are r and theta.
Equation 1 is
IB = (2r^2 / (17 x 10^3) x N... | 5 | [
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... | 30,395 | 30395 | |
Homework Help
Posted by Jay on Wednesday, January 21, 2009 at 1:44am.
Evaluate the definite integral:
[4,8] (4x^2+10)/(x^(1/2)) dx
Been trying this for about 1 hour. Very frustrated, thank you.
• calculus - drwls, Wednesday, January 21, 2009 at 1:53am
The integrand is the sum of two terms,
4 x^(3/2) + 10... | 4 | [
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arithmetic series
September 1st 2009, 07:30 PM #1
arithmetic series
The fifth and and the fiftieth terms of an arithmetic sequence are 3 and 30, respectively. Find the sum of the first 10 terms.
Let $a_1$ be the first term of the sequence and let $d$ be the difference between terms. We know that $a_5 = 3$ an... | 4 | [
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0.057... | 30,397 | 30397 | |
Numbers (urgent)
August 10th 2009, 01:26 AM #1
Newbie
Joined
Jun 2009
Posts
9
a) determine the remainder when 2^2009+1 is divided by 17
b) prove that 30^99+61^100 is divisible by 31
c) it is known that the numbers p and 8p^2+1 are primes. Find p
thnx a million
justanotherperson
PS:... | 5 | [
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Union of sets
November 30th 2009, 12:25 AM
aman_cc
Union of sets
Consider a set $S$. ( $S$ can be finite or infinite)
Let $I_1,I_2,....I_n,.....$ be subsets of $S$ , such that
1. $I_i \subseteq I_{i+1}$
2. $\bigcup I_i$ is finite
Prove that there exits $n_0 \in \aleph$ , such that for any $n_1,... | 5 | [
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... | 30,399 | 30399 |