content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Simplify using the exponent laws #2
September 6th 2012, 10:52 AM
ford2008
Simplify using the exponent laws #2
Hi guys,
the task: Simplify using the exponent laws. Write the final answer using only positive exponents. Evaluate where possible.
1. 2x^-1
my answer:
2
---
x
Is that rig... | 4 | [
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0.0... | 22,100 | 22100 | |
An old corker on the unknotting of knots
Filed under: Knot theory — Ryan Budney @ 11:13 am
Tags: embeddings
I imagine many readers of this blog are familiar with the fact that you can knot a circle in 3-space, but not in 4-space. If you enjoy thinking about why that is true, please read on!
Think of euclidean 3-s... | 4 | [
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derivative with words!
November 3rd 2008, 07:41 PM
JimDavid
derivative with words!
Quote:
Bacteria in a culture increase at a rate proportional to the number present. An initial population of 200 triples in 10 hours. If this pattern of increase continues unabated, then the approximate
number of bacteria... | 5 | [
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... | 22,102 | 22102 | |
Hyperbolic function questions
April 4th 2010, 07:11 PM #1
Super Member
Joined
Dec 2008
Posts
509
Hyperbolic function questions
Hi
I need help on the following questions:
1) Express sinh(x+y) in terms of sinh(x), sinh(y), cosh(x), cosh(y)
2) Given cosh $u=\frac{5}{4}$ find values of sinh(u... | 4 | [
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Quasi-Contractive Mappings in Modular Metric Spaces
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 907951, 5 pages
http://dx.doi.org/10.1155/2012/907951
Review Article
Quasi-Contractive Mappings in Modular Metric Spaces
^1Department of Mathematics Education and RINS, Gyeongsang National University, ji... | 5 | [
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0.004... | 22,104 | 22104 | |
algebraic topology, hatcher, 1.3 problem 16
April 23rd 2012, 12:37 AM #1
Newbie
Joined
Sep 2011
Posts
22
algebraic topology, hatcher, 1.3 problem 16
Hello,
problem 16 says:
Given maps $X\rightarrow Y\rightarrow Z$ such that both $Y\rightarrow Z$ and the composition $X\rightarrow Z$ are
cover... | 5 | [
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What am i doing wrong?
October 14th 2008, 01:57 AM #1
What am i doing wrong?
Hi,
Im trying to solve the Congruence system:
$<br /> \begin{cases}<br /> X & \equiv 7 \pmod{17} \\<br /> X & \equiv 9 \pmod{13} \\<br /> X & \equiv 3 \pmod {12} \\<br /> \end{cases}<br />$
My solution looks like this:
... | 5 | [
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Help with set theory proof
March 8th 2011, 05:59 AM #1
Newbie
Joined
Mar 2011
Posts
2
Help with set theory proof
I've been given a question on my problem set which I'm a bit stuck with. I'm getting the sense that the first part is easier than the second part, but I can't even seem to get the first part!
... | 4 | [
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Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 684068, 10 pages
http://dx.doi.org/10.1155/2014/684068
Research Article
Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equa... | 5 | [
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Stability of Virus Infection Models with Antibodies and Chronically Infected Cells
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 650371, 12 pages
http://dx.doi.org/10.1155/2014/650371
Research Article
Stability of Virus Infection Models with Antibodies and Chronically Infected Cells
Department of Math... | 5 | [
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Symmetric Passing Patterns
(As posted on rec.juggling, June 1999)
Many passing patterns are symmetric : 4 ct, Waltz, ultimate, triangles, ... . Feeds involving runarounds also enter this category.
Tired to show off in solo juggling, the passing partners engage in friendly cooperation to create beautiful multihand pa... | 4 | [
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MEDIAN IN CASE OF A FREQUENCY DISTRIBUTION OF A CONTINUOUS VARIABLE
Statistics and Probability
MEDIAN IN CASE OF A FREQUENCY DISTRIBUTION OF A CONTINUOUS VARIABLE
In case of a frequency distribution, the median is given by the formula
~ h n
X =l + −c f 2
Where l =lower class boundary of the median class (i.e. ... | 4 | [
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Brevet US5936778 - Objective lens for endoscope
RELATED APPLICATIONS
This application claims the priority of Japanese Patent Application No. 9-86115 filed on Mar. 19, 1997, which is incorporated herein by reference.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an objective ... | 4 | [
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I need to find the solution of the system. There are 3 problems.
June 19th 2010, 06:29 PM #1
Junior Member
Joined
May 2010
Posts
52
I need to find the solution of the system. There are 3 problems.
Hello, and thank you for your help. I have been doing this all day, and I cannot get the right answer for t... | 4 | [
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Integral Help
note that $dt=\frac{3}{2\sqrt{3x-4}}\,dx,$ and $x=\frac{t^2+4}3,$ can you take it from there now?
That got me further along in the problem, but I'm at 3/4 times the integral of cot which I know can't give me the answer to the problem. I've been on this problem for 2 hours and its very frustrating
to keep... | 5 | [
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Determining the rule for graphs of trig function
December 12th 2009, 09:46 PM
Paymemoney
Determining the rule for graphs of trig function
A few question i am stuck on:
1) $y=Atan(nt)$ find A and n using the information provided
Asymptotes have equation $t=(2k+1)\frac{\pi}{6}$where k=>Z
when $t=\frac... | 4 | [
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Product Resource Managment Problem - Lin. Alg.
September 13th 2012, 08:00 PM #1
Newbie
Joined
Mar 2010
Posts
5
Product Resource Managment Problem - Lin. Alg.
Hinge Doorknob Pull Switch plate Window lock
Steel(gm) 0.5 1.2 0.8 0.2 1.3
Zinc(gm) 1.6 1.8 ... | 5 | [
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Patente US4807167 - Rapid method of digital automatic gain control
BACKGROUND OF THE INVENTION
This invention relates to digital automatic gain control and especially to achieving speed sufficient for real-time signal processing.
Automatic gain control of a process variable is the adjustment of the system gain, a mul... | 4 | [
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logarithm question
December 5th 2011, 05:44 AM #1
Newbie
Joined
Dec 2011
Posts
4
logarithm question
I'm bad at maths so how do you do this question?
(3x)^lg(3) = (4x)^lg(4)
Find the exact value of 'x'
Thanks in advance
Last edited by zResistance; December 5th 2011 at 06:36 AM.
Re: lo... | 4 | [
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Joint Density Question
December 11th 2009, 07:26 PM #1
Member
Joined
Nov 2008
Posts
152
Joint Density Question
Suppose that X is a continuous uniform random variable on the interval [-1,2], Y is a continuous uniform random variable on the interval [1,5] and that X and Y are independent random variables.
... | 4 | [
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Patent US6904420 - Neuro/fuzzy hybrid approach to clustering data
FIELD OF THE INVENTION
This invention relates generally to the field of intelligent information retrieval, and more particularly pertains to an improved clustering technique for static as well as real-time data in data
mining applications.
BACKGROUND
... | 4 | [
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trig identity
Hello vungaralasI'm not quite sure what you mean by cot(4/5)-A. But if it's any help, you can express the right-hand side in terms of tan A, using the half-angle formulae, or from the basic
double-angle formulae, like this: $\frac{\cos 2A}{1-\sin 2A} = \frac{\cos^2A - \sin^2A}{1 - 2\sin A \cos A}$ $= \fra... | 5 | [
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Solve Integral Analytically
February 19th 2009, 05:22 PM #1
Newbie
Joined
Feb 2009
Posts
4
Solve Integral Analytically
Integral from -2 to 3 of e^(2x)cos(3x)dx
I think I am suppose to solve for the unknown integral using Integration by parts formula however I have tried multiplies times but no luck ... | 5 | [
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Evalution of a complex integral
Is there a problem with the following evaluation?
[itex]\displaystyle \int e^{-ix^{2}} \ dx = \frac{1}{\sqrt{i}} \int e^{-u^{2}} \ du = \left( \frac{1}{\sqrt{2}} - i \frac{1}{\sqrt{2}} \right) \text{erf}(u) + C = \left(\frac{1}{\sqrt{2}} - i \frac
{1}{\sqrt{2}} \right) \text{erf} (\sqr... | 4 | [
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Bit Counting Example - GNU Emacs Calc Manual
18.5.5.1 Bit-Counting
Calc does not include a built-in function for counting the number of “one” bits in a binary integer. It's easy to invent one using b u to convert the integer to a set, and V # to count the elements
of that set; let's write a function that counts the bi... | 4 | [
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Minkowski's inequality!
form what you wrote i assume you have an inner product given by
<f,g> = int fg dx
and the induced norm
|f| = <f,f>^½
so the Cauchy-Schwarz inequality is
|<f,g>| <= |f||g|
from what you get
<f,g> <= |f||g|
so starting with
|f+g| = <f+g.f+g> = (int (f+g)^2)^½ = (int (f^2+g^2+2fg)^½
= (int... | 4 | [
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Alaska Ataca a Kamtchatka
Given an array A.(0 ≤ i < N) of nonnegative integers, that is:
(0) 〈∀ i : 0 ≤ i < N : A.i ≥ 0〉
and a positive integer s > 0, we want to find a segment of A that sums to s, if it exists. Define:
S.i.j = 〈∑ k : 0 ≤ i ≤ k < j ≤ N : A.k〉
The gematric search for s in A is to find, if po... | 4 | [
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A sphare in a triangle
January 26th 2011, 05:02 AM #1
Junior Member
Joined
Nov 2009
Posts
30
A sphare in a triangle
Hi!
Today we had a test at school and I had this interesting question ,that I didn't know how to answer.
So it was said: A sphere is touching all 3 edges of a right triangle, its ed... | 4 | [
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0.015625,
0.0274658203125,
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0.0130615234375,
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0.09375,
0.0032196044921875,
-0.0673828125,
0.003814697265625,
-0.013854980468... | 22,127 | 22127 | |
Derivation of Escape Velocity Inconsistency
Hey, I'm a first year Astrophysics student, and in revising the Schwarzchild radius, I wanted to derive it and so I started by deriving the escape velocity from first principles, then rearrange to
get the Schwarzchild Radius. Child's play, really.
However, depending from whe... | 4 | [
0.006317138671875,
0.000774383544921875,
0.02294921875,
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-0.006622314453125... | 22,128 | 22128 | |
Doing the math on outfield defense
Before tackling this article, you will want to read my previous piece on different fielding systems. Today, I’m going to present the annual rankings of each system discussed earlier, then lay out the
formulas for calculating outfield Defensive Regression Analysis.
One big problem wit... | 4 | [
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Patent US20020165890 - Method and apparatus for linear interpolation using gradient tables
TECHNICAL FIELD OF THE INVENTION
[0001] The technical field of this invention is printer controllers rendering pages encoded in a page description language into printer scan control data.
BACKGROUND OF THE INVENTION
[0002] Ras... | 4 | [
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0.036376953125,
... | 22,130 | 22130 | |
Patent US20060206845 - Hybrid linear wire model approach to tuning transistor widths of circuits with RC interconnect
BACKGROUND OF THE INVENTION
This invention is related to the field of Electronic Design Automation, and more particularly, to a method for optimizing the widths of transistors in an integrated circuit ... | 4 | [
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0.018554... | 22,131 | 22131 | |
Interpreting results: One-sample t test
A one-sample t test compares the mean of a single column of numbers against a hypothetical mean that you provide.
The P value answers this question:
If the data were sampled from a Gaussian population with a mean equal to the hypothetical value you entered, what is the chance o... | 4 | [
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0... | 22,132 | 22132 | |
analysis of derivatives
April 23rd 2009, 11:18 AM #1
Member
Joined
Oct 2008
Posts
124
analysis of derivatives
1) Let f(x)=x^2 sin(1/x^2) for x not equal to 0 and f(0)=0.
a)Show a is differentiable on R
b)Show that f ' is not bounded on the interval [-1,1].
2) Let f(x)=x^2 if x is rational a... | 4 | [
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0.035400390625,
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... | 22,133 | 22133 | |
Thermodynamics Change in Gas Temperature along pipe
1. The problem statement, all variables and given/known data
Nitrogen beginning at 50^oC is pumped along a 30m length of Stainless Steel pipe at a flow rate of 1.5 litres per minute. The Pipeline is at ambient temperature 20^oC. Find the temperature of the
Nitrogen u... | 5 | [
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0.0020294189453... | 22,134 | 22134 | |
Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation
Journal of Discrete Mathematics
Volume 2013 (2013), Article ID 170263, 13 pages
http://dx.doi.org/10.1155/2013/170263
Research Article
Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation... | 5 | [
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0.0190... | 22,135 | 22135 | |
A Restriction for Singularities on Collapsing Orbifolds
ISRN Geometry
VolumeΒ 2011Β (2011), Article IDΒ 502814, 7 pages
http://dx.doi.org/10.5402/2011/502814
Research Article
A Restriction for Singularities on Collapsing Orbifolds
Department of Mathematics and Statistics, California State University, Long Beach, CA ... | 4 | [
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0.0... | 22,136 | 22136 | |
Conjecture
June 28th 2009, 11:48 AM #1
Conjecture
I posted this on another forum a while back but nobody was able to prove or disprove this conjecture of mine. I have empirical reasons to believe that it is true.
Let $A \subset \mathbb{N}$ be an infinite subset of the positive integers. Define
$f(x) = \... | 5 | [
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... | 22,137 | 22137 | |
Finding a f'(x) in a fraction
May 29th 2009, 04:19 PM #1
Junior Member
Joined
Dec 2007
Posts
53
Finding a f'(x) in a fraction
I don't know how I should go about solving down on this problem for $f'(x)$:
$f(x)=\frac{-6x^3+3x^2-2x+1}{x}$
If someone could show me in a step-by-step fashion that wou... | 5 | [
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0.03881835... | 22,138 | 22138 | |
grop of order p^3 , group homomorphism
November 23rd 2010, 01:19 PM
hermanni
grop of order p^3 , group homomorphism
Prove that if p is an odd prime and P is a group of order $p^{3}$ then the $p^{th}$ power map $x -> x^{p}$ is a homomorphism of P into Z(P). If P is not cyclic , show that the kernel of the $p^
... | 5 | [
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0.007... | 22,139 | 22139 | |
Systems of Equations
August 3rd 2009, 02:06 PM
Mp5xm8
Systems of Equations
I am entering precalculus but in order to finish the summer packet, I have to go all the way back to algebra. I need some refreshing on system of equations.
If you could explain how to do these problems and give me a summary of how t... | 4 | [
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0.01043701171875,
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0.1044921875,
-0.07763671875,
-0.0219726562... | 22,140 | 22140 | |
Integrate cosh x/(3 sinh x +4)
June 3rd 2010, 06:48 AM
MechEng
Integrate cosh x/(3 sinh x +4)
Given
$<br /> \int{\frac{cosh(x)}{3 sinh(x)+4}}<br />$
I come up with
$let u=sinh(x), du=cosh(x)$
$\int{\frac{du}{3u+4}}$
So
$\frac{1}{3}\int{\frac{du}{u}}+4$
And
$\frac{1}{3} sin... | 5 | [
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0.03125,
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0.0732421875,
-0.04638671875,
-... | 22,141 | 22141 | |
Rotation around y and x axis + shifting the fuction
October 6th 2010, 03:49 PM #1
Junior Member
Joined
Sep 2010
Posts
32
Rotation around y and x axis + shifting the fuction
The first problem states to set up a formula for the volume which u get when the area limited by y=X²+1 and y=5 rotates around y=5.
... | 4 | [
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0.00631... | 22,142 | 22142 | |
Student's
Student's t-Tests
"Student" (real name: W. S. Gossett [1876-1937]) developed statistical methods to solve problems stemming from his employment in a brewery. Student's t-test deals with the problems associated with
inference based on "small" samples: the calculated mean (X[avg]) and standard deviation (N ra... | 4 | [
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... | 22,143 | 22143 | |
MAtrix Problem using Guassian Method
July 23rd 2010, 02:57 AM
Paymemoney
MAtrix Problem using Guassian Method
Hi
Can someone tell me what should be the next step:
I have tried many ways but cannot seem to get the right answer.
This is what i have done:
$\begin{bmatrix}<br /> 1 & 2 & 1 & | & 6 \... | 5 | [
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0.00... | 22,144 | 22144 | |
similar matrices and eigenvalues
November 7th 2009, 03:12 PM #1
Newbie
Joined
Nov 2009
Posts
20
similar matrices and eigenvalues
Prove using the definition of eigenvalues that similar matrices have the same eigenvalues.
I have already shown this using the characteristic polynomial but I have no idea... | 4 | [
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0.006378173828125,
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0.07177734375,
-0.0028533935546875,
-0.... | 22,145 | 22145 | |
Pythagorean Theorem - College Algebra
January 22nd 2008, 08:20 PM #1
Newbie
Joined
Jan 2008
Posts
11
Pythagorean Theorem - College Algebra
An equilateral triangle is shown below.
a.) Find an expression for its height h in terms of a.
Ok, I have the solution, but I don't understand it. This i... | 4 | [
0.012939453125,
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-0.0546875,
0.020141601562... | 22,146 | 22146 | |
heights of objects
January 1st 2010, 09:05 PM #1
Newbie
Joined
Dec 2009
Posts
5
heights of objects
The heights h (in feet) of two people in different seats on a ferris wheel can be modeled by h1=28cos10t+38 and h2=28cos(10(t-Pie/6))+38, 0 is less than or equal to t and 2 is greater than or
equal to t... | 4 | [
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0.01708984375,... | 22,147 | 22147 | |
Expected values in infinite square well
Register to reply
by Aikon
Tags: infinite square well, quantam mechanics
P: 21 Ok...this must sound stupid, because i didn't found answer on the web and on my books...but i am having... | 5 | [
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0.04150390625,
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0.01531982421875,
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0.048095703125,
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0.0225830078125,
-0.0181884765625,
0.00188446044921875,
0.0057373046875,
... | 22,148 | 22148 | |
Question regarding Simple Harmonic Motion...
ehild
Hi sankalpmittal,
Show please what you have tried?
x=sin(ωt) and y=sin(2ωt+π/2) =cos(2ωt) is the parametric representation of a Lissajous curve. See
http://en.wikipedia.org/wiki/Lissajous_curve
Try to eliminate the ωt term.
ehild
Firstly I solved this question... | 4 | [
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0.035888671875,
-0.0986328125,
0.0022125... | 22,149 | 22149 | |
Math Help
February 14th 2011, 05:29 PM #1
Super Member
Joined
Aug 2009
Posts
639
isomorphic
how do i prove that if the centre of a group G is trivial then inn G is isomorphic to G.
can i say that if the centre of the group G is trival, then the quotient is G itself.
using the fact G/ centre is ... | 5 | [
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-0.005157470703125,
0.05249023437... | 22,150 | 22150 | |
Proving Cofunction Identities
October 27th 2009, 02:50 PM #1
Newbie
Joined
Oct 2009
Posts
19
Proving Cofunction Identities
I have no idea where to start.
tan(pi/2-x)=cotx
sec(pi/2-x)=cscx
csc(pi/2-x)=secx
For the first one, I did the tan(a-b)=tan(a)+tan(b)/1+tan(a)tan(b), but I got -... | 4 | [
-0.06201171875,
-0.0076904296875,
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0.021728515625,
0.05078125,
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-0.0279541015625,
0.0262451171875,
0.068359375,
-0.028564453125,
0.016845703125,
-0.01635742... | 22,151 | 22151 | |
Patent US7688256 - Velocity extraction
RELATED APPLICATIONS
This application claims priorities under 35 U.S.C. 119 to Great Britain Application No. 0414208.9 filed Jun. 24, 2004 and European Application No. 04253789.4 filed Jun. 24, 2004, and as a National
Stage Application Under 35 U.S.C. §371to PCT Application No. P... | 4 | [
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-0.04931640625,
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-0.01953125,
0.058837890625,
0.021... | 22,152 | 22152 | |
Patent US4937775 - Apparatus for the cross-correlation of a pair of complex sampled signals
Publication number US4937775 A
Publication type Grant
Application number US 07/274,473
Publication date Jun 26, 1990
Filing date Nov 21, 1988
Priority date Nov 21, 1988
Fee status Lapsed
Also published as... | 4 | [
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-0.01422119140625,
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-0.006195068359375,
-0.00604248046875,
0.037353... | 22,153 | 22153 | |
Apparatus and method for implementing a linearly approximated log map algorithm - Patent # 6757701 - PatentGenius
Apparatus and method for implementing a linearly approximated log map algorithm
6757701 Apparatus and method for implementing a linear... | 4 | [
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0.080078125,
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-0.0084228515625,
-0.0693359375,
0.04516601562... | 22,154 | 22154 | |
Another Tricky Integral
September 8th 2008, 09:32 PM #1
Another Tricky Integral
$<br /> \int {\frac{1}<br /> {{1 + \cos x}}dx = \tan \tfrac{x}<br /> {2} + C} <br />$
Alright. Would I multiply the bottom part by [1-cos(x)]?
Here's what I tried:
$<br /> \int {\frac{{1(1 - \cos x)}}<br /> {{(1 + \cos ... | 5 | [
-0.045654296875,
0.01385498046875,
0.0103759765625,
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0.001739501953125,
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0.098144... | 22,155 | 22155 | |
Patent US6381276 - Video encoding and decoding method
FIELD OF THE INVENTION
The present invention relates to a method for encoding a sequence of frames by means of a three-dimensional (3D) subband decomposition involving a spatial and temporal filtering step applied to the
3D spatio-temporal data which correspond to ... | 4 | [
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0.1279296... | 22,156 | 22156 | |
Question about variance.
January 12th 2010, 03:59 PM #1
Member
Joined
Oct 2009
Posts
95
Question about variance.
Its a well known fact that
Var(X) = E(X^2) - (E(X))^2
but then can you conclude:
Var(X) = E(X^2) - (E(X))^2 = E(X^2) - E( E(X) X ) (because E(X) is a scalar)
= E[X^2 - E(X) ... | 4 | [
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0.00... | 22,157 | 22157 | |
Convergent, divergent or definitely divergent?
June 6th 2010, 04:59 PM
ihatemath09
Convergent, divergent or definitely divergent?
Hi,
can someone please explain to me how to find out if a set is convergent, divergent, or definitely divergent. I've seen the test to do in a textbook but i don't understand it.
... | 4 | [
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Nth term for integers resulting from an algorithm...
January 17th 2007, 02:20 AM
anthmoo
Nth term for integers resulting from an algorithm...
That's the best title i could do that's descriptive...
Here is the algorithm..
Step 1: Input a positive integer n
Step 2: Draw a graph consisting of n vertic... | 4 | [
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Square inscribed in circle...
July 19th 2006, 02:21 PM
zoso
Square inscribed in circle...
What is the method for determining the perimeter of a square inscribed in a circle, given the diameter of the circle (4 cm)?
July 19th 2006, 03:02 PM
Quick
Quote:
Originally Posted by zoso
What is the meth... | 4 | [
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Integration help for someone who is a little rusty
February 26th 2009, 10:20 AM #1
Newbie
Joined
Feb 2009
Posts
7
Integration help for someone who is a little rusty
Hi everyone, first post and already whining for help, but ok..
Could someone help me out a little with the following problem:
F(x)... | 5 | [
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exam question help on variance
February 18th 2007, 05:43 AM #1
Member
Joined
Sep 2005
Posts
84
exam question help on variance
hello can someone please help me the question's below. i have the answers to question, but i just cannot figure out how they got the answer. I referred to my textbook for help but... | 5 | [
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Proof with algebra, and proof by induction (problems)
May 30th 2008, 04:04 PM #1
Newbie
Joined
May 2008
Posts
11
Proof with algebra, and proof by induction (problems)
Hi there.
Soon I have my final exam in Discrete Mathematics, and I'm just working a little bit on proof by induction and refreshing m... | 5 | [
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On 2D Inverse Problems/Kernel of Dirichlet-to-Neumann map
The continuous analog of the matrix representation of a Dirichlet-to-Neumann operator for a domain $\Omega$ is its kernel. It is a distribution defined on the Cartesian product of the boundary of the
domain w/itself, such that if
$\Lambda f = g,$
then
$g(... | 4 | [
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Dufour and Soret Effects on Melting from a Vertical Plate Embedded in Saturated Porous Media
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 182179, 9 pages
http://dx.doi.org/10.1155/2013/182179
Research Article
Dufour and Soret Effects on Melting from a Vertical Plate Embedded in Saturated Porous Media... | 4 | [
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Quadratic Forms???
March 2nd 2009, 11:26 AM
rebirthflame
Quadratic Forms???
im not really sure if this is to do with quadratic forms or not but tbh i have no idea of where to start with this question, i think it has something to do with diagonilising a matrix somewhere
along the line but apart from that im c... | 5 | [
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Patent US6242883 - Variable speed three-phase motor drive with two inverter circuits
This application is a continuation of U.S. patent application Ser. No. 08/419,298, filed Apr. 10, 1995 and entitled “Single Inverter Drive for a Three-Phase Motor”, which is a continuation-in-part of
Ser. No. 08/072,511 filed Jun. 4, 1... | 4 | [
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... | 22,167 | 22167 | |
Auxiliary Equation with Imaginary Roots
Cronxeh, when you have imaginary roots to an equation, then the solution is of the form:
[tex]y(x)=c_1e^{(a+bi)x}+c_2e^{(a-bi)x}[/tex]
(and other more complex expressions for repeated complex roots)
You can convert this using Euler's equation:
[tex]e^{(a+bi)x}=e^{ax}\left(Co... | 4 | [
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0.086... | 22,168 | 22168 | |
[SOLVED] Finally in LaTex: Pre-images and indexed set.
October 11th 2008, 07:40 PM #1
Let f be a function from X into Y.
If
My thinking so far (which isn't a lot because I still don't have a grasp on this concept of indexed sets):
So how I'm understanding this is that the question is asking me to pro... | 4 | [
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... | 22,169 | 22169 | |
Truncated Total Least Squares Method with a Practical Truncation Parameter Choice Scheme for Bioluminescence Tomography Inverse Problem
International Journal of Biomedical Imaging
Volume 2010 (2010), Article ID 291874, 11 pages
http://dx.doi.org/10.1155/2010/291874
Research Article
Truncated Total Least Squares Metho... | 4 | [
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0.015747... | 22,170 | 22170 | |
Centre of an arc
February 18th 2006, 02:43 AM #1
Newbie
Joined
Feb 2006
Posts
7
Centre of an arc?
Can ne 1 help me how to find the centre (Xc,Yc) for an arc having end points A(x1,y1)[say (2,5)] and B(x2,y2)[say (6,2)]?.........
I tried to calculate the centre imagining those end points of an arc a... | 4 | [
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Statistic Problem
January 7th 2009, 03:13 AM #1
Banned
Joined
Dec 2008
From
Mauritius
Posts
523
Statistic Problem
Suppose that the joint density of X and Y is given by
$f(x,y) = <br /> \begin{cases} <br /> exp[-(x+y)], & 0 \leqslant x,y< \infty \\ <br /> 0, & otherwise <br /> \end{cases}<br />$
... | 5 | [
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-0.0223388671875,
-0.05... | 22,172 | 22172 | |
The dimensions of a garden are in whole numbers.
September 14th 2013, 05:21 PM #1
Newbie
Joined
Sep 2013
From
Cebu City
Posts
12
The dimensions of a garden are in whole numbers.
The dimensions of a garden are in whole numbers. If the length is reduced by 3 and the width reduced 1 then the area is red... | 4 | [
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Determine whether the series is absolutely convergent, conditionally convergent ....
Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
Last edited by mr fantastic; April 25th 2010 at 08:41 PM. Reason: Re-titled post.
Ratio test: $\lim_{k \to \infty}\left|\frac{a_{k + 1}}{a... | 5 | [
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Limits to Growth
In the preceding sections we saw how the linear first-order differential equations lead to exponential solutions. Both the unbounded nature of the solution and the assumption of a constant growth
rate indicate a modification that will give more realistic modeling of observed population growths.
It see... | 4 | [
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Can this equation be solved for F?
September 13th 2011, 11:56 PM
onemachine
Can this equation be solved for F?
Can this equation be solved for F?
F/3500 = [85+(1750/F)^2)^-.5] + [74+(1750/F)^2)^-.5]
Just to be clear, this equation is read:
(F divided by 3500) equals (85 plus (1750 divided by F) sq... | 5 | [
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0... | 22,176 | 22176 | |
Formulating null and alternative hypotheses for a chi-squared test
Eruditio
I'm afraid I'm having a bit of trouble understanding your last post chiro.
I can't say that I've seen a lot of null/alternative hypothesis statements before, but the ones I have seen haven't been quite as terse as simply stating an expected... | 4 | [
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... | 22,177 | 22177 | |
List elements of order 10
September 8th 2007, 10:26 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
List elements of order 10
List all elements of $Z_{40}$ with order 10.
My solution: By a theorem, I know that the unique subgroup of order 10 is <40/10> = <4> = {0,4,8,12,16,20,24,28,32,36>
... | 5 | [
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0.060791015625,
-0.002655029296875,
-0.00... | 22,178 | 22178 | |
Cyclomatic complexity and its Applications
To understand Cyclomatic Complexity , lets first understand -
What is Software Metric?
Measurement is nothing but quantitative indication of size / dimension / capacity of an attribute of a product / process.
Software metric is defined as a quantitative measure of an a... | 4 | [
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... | 22,179 | 22179 | |
Differenation/Differential Equation
February 23rd 2009, 03:16 PM
millerst
Differenation/Differential Equation
Hi, I'm lost with this question. Never done differential equations before, yet... (Wondering)
From the equation y'' + y' - 2y = x^2, find constants A,B and C such that the function y = Ax2 + Bx + C ... | 4 | [
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... | 22,180 | 22180 | |
Isentropic Flow Equations
As a gas is forced through a tube, the gas molecules are deflected by the walls of the tube. If the speed of the gas is much less than the speed of sound of the gas, the density of the gas remains
constant and the velocity of the flow increases. However, as the speed of the flow approaches the... | 4 | [
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Stochastic search variable selection in JAGS
March 22, 2014
By Maxwell B. Joseph
Stochastic search variable selection (SSVS) identifies promising subsets of multiple regression covariates via Gibbs sampling (George and McCulloch 1993). Here’s a short SSVS demo with JAGS and R.
Assume we have a multiple regression p... | 4 | [
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Structure constants of Lie algebra
The following matrices are written in Matlab codes form.
The standard basis for so(3) is: L1 = [0 0 0; 0 0 -1; 0 1 0], L2 = [0 0 1; 0 0 0; -1 0 0], L3 = [0 -1 0; 1 0 0; 0 0 0]. Since [L1, L2] = L3, the structure constants of this Lie algebra are C(12, 1) =
C(12, 2) = 0, C(12, 3) = 1.... | 4 | [
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0.06640... | 22,183 | 22183 | |
Not sure what this comes under.
September 1st 2009, 04:03 PM #1
Member
Joined
Jul 2009
Posts
149
Not sure what this comes under.
Had this question in a test and got it wrong.
find the solutions to $2\sqrt{x^5}-72\sqrt{x}=0$
answer is x = 0 , x=6 , or x = -6; not sure what i do with this equatio... | 4 | [
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0.03369140625,
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-... | 22,184 | 22184 | |
Is my answer sheet wrong?
December 10th 2009, 12:02 PM #1
Junior Member
Joined
Nov 2009
Posts
64
Is my answer sheet wrong?
pdf:
$f(x,y)=\left\{<br /> \begin{array}{lr}<br /> \frac{2x+y}{4}&0\le x\le 1;0\le y\le 2\\<br /> 0&otherwise<br /> \end{array}<br /> \right.$
Question: Find cdf (remember ... | 5 | [
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... | 22,185 | 22185 | |
What are dense Sidon subsets of {1,2,...,n} like?
What are dense Sidon subsets of {1,2,…,n} like?
The short answer if you don’t feel like reading a post with some actual mathematics in it is that I don’t know.
Now for the longer answer. A subset $A$ of $\{1,2,\dots,n\}$ is called a Sidon set if the only solutions of ... | 4 | [
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... | 22,186 | 22186 | |
solving cubic congruences
September 27th 2010, 02:01 AM #1
Member
Joined
Aug 2010
Posts
77
solving cubic congruences
Find all the solutions of $x^3+3x-8\equiv 0mod(33)$
I can only see
$x^3+3x-8\equiv 0 mod(3)$ and $x^3+3x-8 \equiv 0 mod(11)$
however i cannot seem to condense these further a... | 5 | [
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0... | 22,187 | 22187 | |
Changing limits of integration.
July 20th 2010, 08:41 AM
momopeaches
Changing limits of integration.
This problem involves a change in variable of the limit of integration.
Consider the area bounded by $y=\frac{8x^2}{\sqrt(1-2x^2)}$, y=0, x=0, and x=.5. A definite integral of this area, using x as the varia... | 5 | [
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mechanics:please help
Two degree-of-freedom systems Find the natural frequencies and describe the modes for the linear vibration system below.
Quote: Originally Posted by bobby77 The proceedure for dealing with this problem is: 1. Decide on your variables (use the deflection of the first trolley from its equilibrium p... | 5 | [
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quadratic residue proof
November 21st 2012, 09:22 AM
juliac3
quadratic residue proof
1) If ab=r mod p, where r is a quadratic residue of the odd prime p, prove that a & b are both quadratic residues of p or both non-residues of p.
2) If a and b are both quadratic residues of the odd prime p, or both non-res... | 5 | [
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-0.060... | 22,190 | 22190 | |
Estimate the percentage error
January 6th 2011, 01:45 PM #1
Junior Member
Joined
Aug 2010
Posts
48
Estimate the percentage error
The circumference of a sphere is measured at C = 100 cm. Estimate the maximum percentage error in V if the error in C is at most 3 cm.
so C=2(pi)r^2
Dc=4(pi)r (dr) do ... | 5 | [
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A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 597807, 8 pages
http://dx.doi.org/10.1155/2013/597807
Research Article
A New Integro-Differential Equation for Rossby Solitary Waves with Topograp... | 4 | [
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Diemsion of Hom
February 7th 2009, 03:17 AM #1
Diemsion of Hom
I started by making $e_1, e_2,........,e_n$ a basis of U and $f_1,f_2,.....,f_m$ a basis of V.
Transforming the basis of U by T gives $T(e_1),T(e_2),......,T(e_n)$. These vectors may not be linearly independent so sifting them gives:
$T(e_1)... | 4 | [
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-0.035400390625,
-0.06689453125... | 22,193 | 22193 | |
Lost understanding this formula
November 20th 2011, 03:49 PM #1
Newbie
Joined
Nov 2011
Posts
3
Lost understanding this formula
Hello Everyone
I am currently attempting to improve both my programming and mathematical skills by following a book which gives the required mathematical formulae to calcula... | 5 | [
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Find the definite integral using substitution
September 23rd 2009, 11:45 PM #1
Banned
Joined
Aug 2009
Posts
24
Find the definite integral using substitution
Suppose I have this function where a = 0 and b = .5 not sure on the latex tags for that
$I(x) = \int \sqrt{t^4+1}$
and I let
$u = t^4... | 5 | [
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[SOLVED] Double Integrals - Volume Between Paraboloids
April 11th 2010, 07:43 PM
wagonwould
[SOLVED] Double Integrals - Volume Between Paraboloids
I'm studying for my calculus exam and having difficulty with this question.
Find the volume lying between the paraboloids $z = x^2+y^2$ and $3z=4-x^2-y^2$.
... | 4 | [
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... | 22,196 | 22196 | |
logs past paper question
January 8th 2012, 09:46 AM
mathkid12
logs past paper question
log2 x = log 4x +6
this is a question my teacher gave us, the she gave this the first equation on starting the question which is below
log2x = log2x +6 / log24
how did my teacher got this, i need to know because ... | 4 | [
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Equations
410-505 3.2 Hyperbolic Wave Equations Fall 2011
This Page: Home >> Topic 3 >> Application 2
The Linear Wave Equation
The wave equation
where
This equation has a unique solution if
• initial values of
• boundary values are specified on the boundaries of a closed region.
The one-dimensional wave... | 4 | [
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Prove a function is Onto
April 6th 2010, 08:23 PM #1
Junior Member
Joined
Aug 2009
Posts
71
Prove a function is Onto
Hello, I am having a problem with a certain function which is supposed to be one-to-one and onto. The function is:
$<br /> g: Z \rightarrow N<br />$
$<br /> g(z) = -2z$ if $z \leq... | 4 | [
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