content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Lin Alg Proof
November 5th 2007, 08:31 PM
caeder012
Lin Alg Proof
Given that L is an eigenvalue of an invertible matrix A, prove that 1/L is an eigenvalue for A^(-1). (NOTE: need proof for A in general; giving one example will not suffice)
November 5th 2007, 08:57 PM
CaptainBlack
Quote:
L is an eige... | 5 | [
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... | 17,200 | 17200 | |
Factorial Notation
August 17th 2011, 11:10 AM #1
Newbie
Joined
Aug 2011
From
Canada
Posts
8
Factorial Notation
I keep having a hard time solving this factorial notation question. I know the steps but I'm having a brain fart of what the correct answer be to input into the next step.
(n+2)! =110
... | 4 | [
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0.0021820068359375,
-... | 17,201 | 17201 | |
Is sqrt[(x-3)^2] = (3-x)^2 ? (1) x ≠ 3 (2) – x | x | > 0
Author Message
TAGS:
Is sqrt[(x-3)^2] = (3-x)^2 ? (1) x ≠ 3 (2) – x | x | > 0 [#p... | 4 | [
0.0712890625,
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-... | 17,202 | 17202 | |
GMAT Math #6 – Isosceles Triangles in Data Sufficiency
Hi Zeke,
I need help with a Question, I have found in the GMAT prep software,
The following is the question:
How do I solve for the answer?
I read somewhere online, that it says that triangles ABO and BCO are isosceles triangles, why so ?
GMATPill:
Yes, ABO an... | 4 | [
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-... | 17,203 | 17203 | |
Problem Help
June 3rd 2008, 11:26 AM #1
Newbie
Joined
May 2008
Posts
10
Problem Help
Having trouble with this problem....
Establish the Identity:
(sec^2t)-(csc^2t)=csc^2t(sec^2t-2)
and this ones seems easy but im not sure...
Find the exact Value:
csc(tan^-1)(-.5)
hummm,
... | 4 | [
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0.0157470703125,
-0.00457763671875,
0.0284423828125,
-0.011... | 17,204 | 17204 | |
[Haskell-cafe] assistance with using haskell to calculate the
determinant
[Haskell-cafe] assistance with using haskell to calculate the determinant
Carter Tazio Schonwald cartazio at yahoo.com
Sun Mar 27 00:04:55 EST 2005
I've written a simple program to calculate determinants of matrices, and
while it executes to c... | 4 | [
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0.055419921875,
0.03515625,
... | 17,205 | 17205 | |
Combinatorics
November 27th 2010, 05:53 AM #1
Combinatorics
1.Given $n$ equally spaced points on the circumference of a circle(the vertices of a regular n-gon).Find number of ways to select three points such that the triangle formed by joining them is
isosceles.
2.Find number of ways to select 3 vertices... | 5 | [
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-0.05810... | 17,206 | 17206 | |
Proof for Isomorphic Linear Operator
May 3rd 2007, 04:39 PM #1
Junior Member
Joined
Dec 2006
Posts
43
Proof for Isomorphic Linear Operator
The following linear algebra problem on linear transformations/isomorphisms was confusing me so any help would be appreciated!
Let R^n -> R^n be a linear operato... | 4 | [
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0... | 17,207 | 17207 | |
Physics Forums - View Single Post - Ramsey Primes
ramsey2879
My code for Mathematical is short so I will include it below for reference. There are some flaws. For instance the Reap/Sow function generates a list of the form {Null,
{{prime3,prime5,prime6,prime8,...}}}. I want to generate a simple list {prime3,prime5,... | 4 | [
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-0... | 17,208 | 17208 | |
Prooving and Identity
August 11th 2009, 10:54 AM #1
Newbie
Joined
Jul 2009
Posts
17
Prooving and Identity
Hi, I'm struggling to understand how to prove this:
(sin^4) T = ( 3 - 4 cos 2 T + cos 4 T ) / 8
(where T is theta)
I start on the left side and "break" this up into a square:
( si... | 4 | [
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-0.... | 17,209 | 17209 | |
Mixture/Solution Problem.
January 13th 2011, 12:25 AM #1
Member
Joined
Jan 2011
Posts
95
Mixture/Solution Problem.
Q. How many litres of a solution that is 15% salt must be added to 5 litres of a solution that is 8% salt so that the resulting solution is 10% Salt.
ok so we have 0.15x + 5(0.08) = 0.0... | 4 | [
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0.0279541015625,
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0.076171875... | 17,210 | 17210 | |
AND
FRACTIONS AND DECIMALS
┌──────────────────────────────────────────────────────────────────────────┐
│Fractions and decimals are just different ways of wr... | 4 | [
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0.... | 17,211 | 17211 | |
Math Help
May 12th 2008, 12:29 PM #1
Basis
Can someone explain how to get this answer please.
Let $U_1$ and $U_2$ be the subspaces of $R^4$ defined by
$U_1 = (x = (x_1,x_2,x_3,x_4)|x_1 + 2x_2 - x_3 - x_4 = 0)$
and
$U_2 = (x = (x_1,x_2,x_3,x_4)|x_1 - x_2 + x_3 + x_4 = 0)$
Find basis for $... | 4 | [
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Wave equation - vibrations of a beam
April 16th 2009, 06:12 AM #1
Junior Member
Joined
Oct 2008
Posts
54
Hi, I have this question:
The longitudinal displacement u(x,t) for longitudinal vibrations of a beam of uniform cross-section satisfies the wave equation:
v $u_{xx}$ - p $u_{tt}$ = 0
whe... | 5 | [
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... | 17,213 | 17213 | |
Volume flow rate DE - Help needed
coelho
Could you outline how did you arrive at the expression you found after integrating?
I found one (stupid) mistake I made in my original equation (divided out the Qleak term rather than adding it to the other side). So ignore that equation... Below is how I arrived at the new
... | 4 | [
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0.05541992... | 17,214 | 17214 | |
Geometric Sequence, find a closed form.
February 18th 2009, 04:32 AM #1
Newbie
Joined
Feb 2009
Posts
6
Geometric Sequence, find a closed form.
Hi, I need help with this question:
Consider the following geometric sequence:
4, 6.8, 11.56, 19.652,...
Find a closed form for the sequence.
... | 4 | [
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Nonparametric Bootstrap-Based Multihop Localization Algorithm for Large-Scale Wireless Sensor Networks in Complex Environments
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 923426, 9 pages
http://dx.doi.org/10.1155/2013/923426
Research Article
Nonparametric Bootstrap-Based Multih... | 4 | [
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Complex analysis/linear fractional transformation
A linear fractional transformation (lft) takes circles to circles. Since the lft under consideration here is assumed to be an automorphism of the unit disk, it must take points inside the disk to
points inside the disk (i.e. inversion in any circle inside the disk is ru... | 4 | [
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Geometric Series
Use complex numbers and geometric series to sum:
$1 + cos2\theta + cos4\theta +...+ cos(2n-2)\theta$.
I don't really have a clue what to do... any help would be appreciated... thanks. The answer is $\frac{\cos{(n-1)\theta} \sin\: {n\theta}}{\sin{\theta}}$.
| 4 | [
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Rational number if n is even proof
January 13th 2009, 09:07 AM
Jason Bourne
Rational number if n is even proof
Prove that the number
( $\sqrt{5} + 1)^n + (\sqrt{5} - 1)^n , (n \in \mathbb{N})$
is rational if and only if n is even.
(I think going one way if n is even then its clear that its rationa... | 5 | [
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Angle of intersection between two parametric curves
1. The problem statement, all variables and given/known data
This is a problem involving parametric equations.
r[1]= <t,2-t,12+t^2>
r[2]= <6-s,s-4,s^2>
At what point do the curves intersect?
Find the angle of intersection, to the nearest degree.
3. The attempt at... | 4 | [
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Patent US5221834 - Method for providing feedback correction for an imaging device
BACKGROUND OF THE INVENTION
This invention relates to a method for assessing the optical quality of an imaging device, and in particular, for providing feedback correction to the imaging device based on this assessment.
INTRODUCTION TO ... | 4 | [
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0.0250244140625,... | 17,221 | 17221 | |
gcd(ma,mb) = m gcd(a,b)
January 7th 2010, 09:39 PM #1
Senior Member
Joined
Jan 2009
Posts
404
gcd(ma,mb) = m gcd(a,b)
Theorem:
For any natural number m, gcd(ma,mb) = m gcd(a,b)
Proof:
Let N={natural numbers}
By another theorem, we know that
gcd(ma,mb)=min({m(ax)+m(by): x,y E Z} ∩ N)
... | 5 | [
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0.0181884765625,
-0.04... | 17,222 | 17222 | |
is this a well posed problem ????
January 10th 2009, 06:56 PM #1
Junior Member
Joined
Oct 2008
Posts
26
is this a well posed problem ????
Is the following initial value problem well-posed? (i.e. does it satisfy the assumptions of the existence and uniqueness theorem) Why or why not?
y'=(1-y^2)^(1/2)... | 5 | [
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Dice probability
November 30th 2012, 08:17 PM
colerelm1
Dice probability
Can anyone help me get started on this problem? Any help would be appreciated:
A die has one pink side, two red sides, and three green sides.
If the die is rolled twice, what's the probability that the two shapes on top are the sa... | 4 | [
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-0.082... | 17,224 | 17224 | |
Inverse Jacobi Matrix in Spherical Coordinates
Dear all,
I am reading R.A. Sharipov's
Quick Introduction to Tensor Analysis
, and I am stuck on the following issue, on pages 38-39. The text is freely available here:
http://arxiv.org/abs/math/0403252
. If my understanding is correct, then the Jacobi matrices for th... | 4 | [
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-0.0771484375,
0.00170135498046... | 17,225 | 17225 | |
[SOLVED] Find the equation of a line through two points.
February 23rd 2009, 10:57 AM #1
Newbie
Joined
Feb 2009
Posts
2
[SOLVED] Find the equation of a line through two points.
Hi
I need to work out the equation, something like Y=3X, for the line that goes through these two points on a graph: (1,4) a... | 4 | [
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0.04736328125,
0.09423828125,
-0.06396484375,
-... | 17,226 | 17226 | |
Proportion Problem Help
February 28th 2011, 04:04 PM
wizkid94
Proportion Problem Help
I want to know how to solve this, not just the answer. Thanks.
The ratio of rubies to emeralds was 3 to 1, and the ratio of emeralds to diamonds was 2 to 1. If there were 18 rubies, emeralds, and diamonds in all, how many ... | 4 | [
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0.0390625,
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0.00390625,
-0.03173828125,
-0.009033203125,
-0.002166748046875,
-0.031982421875,
0.08203125,
0.02587890625,
0.0166015625,
0.05712890625,
0.01385498046875,
0.02478027343... | 17,227 | 17227 | |
Relation Between Compressive and Tensile Strength of Concrete
Compressive Strength The main measure of the structural quality of concrete is its compressive strength. This property of concrete is commonly considered in structural design. Depending on the mix
(especially the water-cement ratio) and time and quality of t... | 4 | [
-0.03857421875,
-0.005584716796875,
-0.033447265625,
-0.058837890625,
-0.0400390625,
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0.09765625,
0.021484375,
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-0.07470703125,
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-0.034423828125,
-0.0225830078125,
0.01019287109375,
0.07568359375,
0.02... | 17,228 | 17228 | |
Patent US7196662 - Probabilistic model for a positioning technique
This is a continuation of International Application No. PCT/FI03/00413, filed May 27, 2003, which claims priority from Finnish Application No. 20021044, filed May 31, 2002, the contents of both of
which are incorporated herein by reference.
BACKGROUND ... | 4 | [
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... | 17,229 | 17229 | |
Patent US4435774 - Method of and arrangement for calculating the discrete Fourier transform by means of two circular convolutions
BACKGROUND OF THE INVENTION
(1). Field of the Invention
The invention relates to a method of converting a set of N first signal values into a set of second signal values, the relationship ... | 4 | [
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-0.001647949218... | 17,230 | 17230 | |
Patent US7065475 - Modeling option price dynamics
BACKGROUND
Financial markets allow participants to modify their exposure to the future values of financial quantities (such as the price of oil, or interest rates) for which they are concerned. For example, a
producer of oil can reduce his exposure to the oil price at ... | 4 | [
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0.0220947265625... | 17,231 | 17231 | |
Orthogonal Trajectories .. Check my solution
Hello
Problem:
Find the orthogonal trajectories of the following family of curves:
$x^n+y^n=a^n$ ; n held fixes, $n eq 2$
Solution:
Differentiate with respect to x:
$nx^{n-1}+ny^{n-1} \cdot \dfrac{dy}{dx}=0$
devide by n and re-arrange:
... | 5 | [
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0.0294189453125,
-0.04296875,
-0.022338867... | 17,232 | 17232 | |
No idea where to start
Given a number '2/7'.Find the 57th number after the decimal point. Whats the method?
Look at the repetend length (period). Well it's 6. So reduce 57 mod 6 and conclude that the 57th digit after the decimal point is the same as the 3rd digit after the decimal point, which is 5. The
1st digit afte... | 4 | [
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-0.0771484375,... | 17,233 | 17233 | |
Use the identity cos^2(theta) + sin^2(theta) = 1
September 3rd 2012, 10:21 AM #1
Newbie
Joined
Sep 2012
From
Australia
Posts
8
Use the identity cos^2(theta) + sin^2(theta) = 1
Use the identity cos^^2(θ) + sin^^2(θ) = 1 to find sin(θ) when cos(θ) = 0.5
Really lost on this. Is it something to do w... | 4 | [
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Conservation of Energy
The conservation of energy is a fundamental concept of physics along with the conservation of mass and the conservation of momentum. Within some problem domain, the amount of energy remains constant
and energy is neither created nor destroyed. Energy can be converted from one form to another (pot... | 4 | [
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Proof of binomial coeffient
February 25th 2007, 08:10 AM #1
Junior Member
Joined
Jul 2006
Posts
73
Proof of binomial coeffient
Problem 1:
Define the binomial coefficient
n by
r
n = n! / (r!(n-r)!) for r = 0,1,2,...., n
r
problem: show that
n
r
+
n
r-1
... | 5 | [
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For which positive real numbers a does the series converge
Register to reply Page 2 of 2 < 1 2
by .d9n.
... | 4 | [
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0... | 17,237 | 17237 | |
Double integral in polar coordinates- funky bounds!?
May 1st 2011, 03:24 PM #1
Newbie
Joined
Jul 2010
Posts
13
Double integral in polar coordinates- funky bounds!?
Hello,
The problem is to convert a cartesian double integral to polar coordinates and evaluate. I'm fine with evaluating, I just require... | 4 | [
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Constrained Weak Nash-Type Equilibrium Problems
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 307903, 4 pages
http://dx.doi.org/10.1155/2014/307903
Research Article
Constrained Weak Nash-Type Equilibrium Problems
^1Department of Mathematics, Sichuan University for Nationalities, Kangding 626000, China... | 4 | [
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0.004... | 17,239 | 17239 | |
Proposition 16
To construct an icosahedron and comprehend it in a sphere, like the aforesaid figures; and to prove that the square on the side of the icosahedron is the irrational straight line called minor.
Set out the diameter AB of the given sphere, and cut it at C so that AC is quadruple CB, describe the semicirc... | 5 | [
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-0.03515625,
-0.0291748046875,
-0.... | 17,240 | 17240 | |
Chain Rule-Partial Derivatives!
January 6th 2009, 03:57 PM #1
Newbie
Joined
Jan 2009
Posts
12
Consider the function f(x,y)=x^2+y^2 where x=sin2θ and y=cos2θ
df/dθ is given by?
Hello
Will someone be kind enough to provide me with the complete answer and explanation
I have studied stuff l... | 5 | [
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-0.04... | 17,241 | 17241 | |
[SOLVED] Calculus differential equation
July 15th 2007, 12:56 AM #1
jet2479
Guest
[SOLVED] Calculus differential equation
Solve the following differential equations
a) dy/dx = 24x(3x^2+9)^2
b) dy/dx = 2sin(3x+infinity) infinity is a constant
I have done question a and come up with 216x^5+1296x^3+19... | 5 | [
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0.04... | 17,242 | 17242 | |
Matlab, find area under experimental plot
October 27th 2009, 10:31 PM #1
Newbie
Joined
Oct 2009
Posts
5
[Solved] Matlab, find area under experimental plot
Hi all,
My first time here, greetings to everyone.
Now I have an issue I need help from. I think this is a common problem, but I can't find ... | 5 | [
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-0.0644... | 17,243 | 17243 | |
permutation
Find the number of words formed by permuting all the letters of the word EXERCISES .
Hello, mathaddict! This is a permutation with some duplicated objects. There is a formula for this, but you can derive it yourself. Find the number of words formed by permuting all the letters of the
word EXERCISES. If we ... | 4 | [
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-0.04150390625,
0.0086... | 17,244 | 17244 | |
Did I make a mistake with this ODE via Power Series?
July 9th 2011, 11:28 AM #1
Member
Joined
Aug 2010
Posts
138
Did I make a mistake with this ODE via Power Series?
I need to solve the following ODE using Power Series:
$xy'' + y' + xy = 0$
Now, when I do it, this is what happens:
$y = ... | 5 | [
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... | 17,245 | 17245 | |
Electric Field of Sphere
Doc Al
You seem to have the right idea, but I can't follow your notation easily. Express the integral in terms of volume charge density (instead of surface charge density), the radius of the sphere, and the
distance from center to the point. The integral is not one I can solve off the top of... | 5 | [
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-... | 17,246 | 17246 | |
Algebra/Physics-like problem?
May 13th 2009, 12:22 PM #1
Algebra/Physics-like problem?
Suppose you throw a baseball into the air from a starting height . You toss the ball with an upward velocity of ft/s. You can use the equation h=(-16)t^2+vt+s to find the ball's height in feet
seconds after it is thrown.
... | 4 | [
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0.0888671875,
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0.0147705078125,
-0.0... | 17,247 | 17247 | |
Complex simpification
Hello,A conjugate of a complex number $a+ib$ is defined to be $a-ib$ What's good about it is if you multiply a complex number by its conjugate : $(a+ib)(a-ib)=a^2+b^2$ (using the identity (x-y)(x+y)=
x²-y²) and that's a real number. So the main idea is to multiply both numerator and denominator by... | 4 | [
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0... | 17,248 | 17248 | |
Simplifying Logs
January 9th 2010, 08:58 AM
mikewhant
Simplifying Logs
Hi there, I am a bit stuck as to how to do this question. I know the laws of logs but this has me stumped!
Thanks in advance
Express the following without logarithms:
lnP=1/2ln(Q+1)-3lnR+2
Thanks again for any input
M... | 4 | [
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0.0... | 17,249 | 17249 | |
almost everywhere
Let $f$ be nonnegative measurable function. Show $\int f = 0$ implies $f=0$ almost everywhere.
let $E=\{x:f>0\}$. Then $E=\bigcup E_n$ where $E_n=\{x:f>1/n \}$.
now 0= $\int f \geq \int f1_{E_n} \geq \frac{1}{n}\int 1_{E_n} = \frac{1}{n} mE_n$.
for each $n$, $1/n eq 0$ so $mE_n=0$.
... | 5 | [
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rate of change, volume of a funnel, height, radius, time
November 30th 2011, 09:45 PM
furor celtica
rate of change, volume of a funnel, height, radius, time
A funnel has a circular top of diameter 20 cm and a height of 30 cm. When the depth of liquid in the funnel is 12 cm, the liquid is dripping from the funnel... | 5 | [
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... | 17,251 | 17251 | |
2nd ODE Homogeneous, Double roots
March 27th 2011, 11:00 PM
Vamz
2nd ODE Homogeneous, Double roots
$y^{\prime \prime} + 6 y^{\prime} + 9 y = 0$
Initial Conditions:
$y(0)=3,\quad y^{\prime}(0)=-7$
So, I determined the general solution should look like this:
$Ae^{-3x}+Be^{-3x}=0$
When Y(0)=... | 5 | [
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0.039794921875,
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... | 17,252 | 17252 | |
Weighted Strong Law of Large Numbers for Random Variables Indexed by a Sector
Journal of Probability and Statistics
Volume 2011 (2011), Article ID 701952, 16 pages
http://dx.doi.org/10.1155/2011/701952
Research Article
Weighted Strong Law of Large Numbers for Random Variables Indexed by a Sector
^1Institute of Mathe... | 4 | [
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Brevet US4881160 - Self-tuning controller
BACKGROUND OF THE INVENTION
1. Field of Invention
This invention relates to a self-tuning controller which comprises a PI controlling means for effecting at least proportional integral (PI) arithmetic on a deviation signal between a process variable
from a process and a contr... | 4 | [
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... | 17,254 | 17254 | |
Does my proof make sense?
Dick
It's the induction hypothesis. You assume every polynomial of degree <=n can be written as (x-a)*r(x)+k. Think about it.
Since we show that [tex]f(x)[/tex] can be written as [tex](x-a)g(x)+b[/tex] for the [tex]n=1[/tex] case, we can assume that it holds for [tex]k \leq n[/tex], just a... | 4 | [
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0.015869140625,
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-0.0029449462890625,
-0.004791259765625,
0.09375,
-0.... | 17,255 | 17255 | |
Patent US5291390 - Control apparatus for mechanical devices which regulates control system operation speed to prevent hunting and overshooting and thereby optimizes the control signal
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an apparatus for controlling a variety of diffe... | 4 | [
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Patente US6987820 - Apparatus for navigation satellite signal quality monitoring
TECHNICAL FIELD OF THE INVENTION
The present invention relates generally to satellite based positioning systems such as the Global Positioning System (GPS) and more particularly to the monitoring of the quality of the signals
transmitted ... | 4 | [
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... | 17,257 | 17257 | |
Calculate the repayments
August 21st 2011, 02:35 AM #1
Newbie
Joined
Aug 2011
Posts
3
Calculate the repayments
Hello everyone
I am 24 years old and attending college and need some help. Here is the question:
You take up a short-term annuity of £ 60 000 The loan is repayable over three years in ... | 5 | [
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... | 17,258 | 17258 | |
Patent US3620080 - Capacitance type fluid measuring apparatus
Nov. 16, 1971 F. L. RYDER 3,620,080
CAPACITANCE TYPE FLUID MEASURING APPARATUS Filed Jan. 15, 1970 2 Sheets-Sheet l 1. -/.0 FIGZ-M, 44 -5 6i INVENTOR: fkEDER/CK L. Rrolse ATTORNEYS Nov. 16, 1971 I RYDER 3,620,080
CAPACITANCE TYPE FLUID MEASURING APPARATUS ... | 4 | [
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0.030395507... | 17,259 | 17259 | |
Finding zeros of a polynomial
July 7th 2009, 05:17 AM
hiemmer
Finding zeros of a polynomial
How can I find the zeros(other than 0 itself) of this polynomial?
y = 12x^3 + 12x^2 + 12x
thank you in advance
July 7th 2009, 05:22 AM
alexmahone
$12x^3+12x^2+12x=0$
$12x(x^2+x+1)=0$
$x=0$ or $x... | 4 | [
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0.0673828125,
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0.0279541015625,
0.0299072265625,
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-0.027099609375,
-0.03564453125,
... | 17,260 | 17260 | |
What are the general forms of first and second order dynamic systems?
What is the general form of a first and second order dynamic system, in laplace and time space?
I have some of the information, but a lot of it is missing and I can't find a clear answer on the web.
The general form of a second order dynamic system... | 4 | [
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0.056640625,
0.0101928... | 17,261 | 17261 | |
Complete metric space
March 12th 2011, 05:17 PM
jackie
Complete metric space
I am working on this problem, but I am not sure about one of my arguments. Could someone help me?
Let $(X,d)$ be a metric space. Define $d'(x,y)=min\{d(x,y),1\}$. Prove that $(X,d)$ is complete iff $(X,d')$ is complete.
Suppose ... | 5 | [
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-0.000511... | 17,262 | 17262 | |
Need help with Central Limit Theorem
September 20th 2008, 09:31 AM
chopet
Need help with Central Limit Theorem
Regardless of the distribution of the initial population distribution, as long as we take a sample of size n>30 from the population, and form a sampling distribution with repeated sampling m
times:
... | 4 | [
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... | 17,263 | 17263 | |
sum and differences of cubes
how would you solve these by factoring? #1. (x+2)^3 - (x-2)^3 #2. 16(x+1)^3 + 2 #3. (x+1)^3 - (y-2)^3 thanks
For starters, you aren't "solving" your are "reducing." Recall that the sum and difference of two perfect cubes factors: a^3 + b^3 = (a + b)(a^2 - ab + b^2) a^3 - b^3 = (a - b)(a^2 ... | 4 | [
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0.0... | 17,264 | 17264 | |
Log problems
The question states that log3q = p i have to write the answer in the form of P -1/2logq(81q²) thanks!
Last edited by agehayoshina; November 30th 2012 at 10:21 AM.
We can write -1/2 logq(81q^2 )=p as logq[(81q^2 )^-1/2], based on the laws of logs. This can be simplified to logq(1/9q) = P. This can be fur... | 5 | [
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-0.0446... | 17,265 | 17265 | |
Multivariable Optimization Problem
Got the idea. You set z=120-x-y and plug it into xy+xz+yz, which is then f(x,y). So you take the derivative of that, set the partials equal to 0, solve for x, solve for y, plug those back into z=
120-x-y... and you get x, y and z equal 40.
| 5 | [
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Geometric progression: An ant
May 8th 2011, 10:06 PM #1
Super Member
Joined
Dec 2009
Posts
755
Geometric progression: An ant
An ant of negligible size walks a distance of 10 units from the origin in the x-y plane along the x-axis. It then turns left and goes up 5 units from its current point. If the ant ... | 4 | [
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0.0310058593... | 17,267 | 17267 | |
Kinematics problem (uniform acceleration)
July 30th 2012, 03:31 PM #1
Kinematics problem (uniform acceleration)
Hello,
I've hit rough terrain again, unfortunately. Before I begin I've posted the question I'm stuck on. I've solved part i but part ii involves part i, respectively.
Q: A body starts at $2\ ... | 4 | [
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... | 17,268 | 17268 | |
Power to the 5
June 7th 2012, 04:20 AM
AndroidMachine
Power to the 5
Hi everyone
I am having with this question:
n is an integer.
Show that n^5 - n is divisible by 30 for all integers n.
If it helps, in the questions before this one, we proved that the last digit of n^5 is n.
Thanks
Jun... | 4 | [
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Help with proof.
How can you prove that $\prod_{n=1}^{\infty}(1-x^{n})^{\mu(n)/n}=e^{-x}$ for $|x|<1$. Here, $\mu(n)$ is the Mobius function. Thanks in advance.
Last edited by CaptainBlack; July 18th 2011 at 10:37 PM. Reason: fix LaTeX
What have you tried? Begin by taking the logarithm of both sides to get that, if $... | 5 | [
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An Endoreversible Thermodynamic Model Applied to the Convective Zone of the Sun
ISRN Astronomy and Astrophysics
VolumeΒ 2012Β (2012), Article IDΒ 894056, 7 pages
http://dx.doi.org/10.5402/2012/894056
Research Article
An Endoreversible Thermodynamic Model Applied to the Convective Zone of the Sun
^1Departamento de Fo... | 4 | [
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-0.088378... | 17,271 | 17271 | |
-Laplacian System via Clark Duality and Computations of the Critical Groups
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 567471, 10 pages
http://dx.doi.org/10.1155/2014/567471
Research Article
Nonconstant Periodic Solutions of Discrete -Laplacian System via Clark Duality and Computations of the Critic... | 5 | [
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-0.08154296875,
-0.05224609375,
-0... | 17,272 | 17272 | |
Common Graphs (Graph Generators)
A class consisting of constructors for several common graphs, as well as orderly generation of isomorphism class representatives. See the module's help for a list of supported constructors.
A list of all graphs and graph structures (other than isomorphism class representatives)... | 5 | [
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0.008300... | 17,273 | 17273 | |
Physics Forums - View Single Post - Water Flow, Pump Effect
Q1.
Q = vA (flow = velocity times area)
v = Q / A
Q = 60 L / min = 1 L / s = 0.001 m^3/s
A (cylinder) = pi * 0.30m * 0.015m = 0.01413 m^2
V = Q / A = 0.071 m /s = 0.25 kph
This is around the rim of the mouthpiece, where the velocity is the highest. Around th... | 4 | [
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AutoMorphism
July 31st 2008, 04:44 AM #1
AutoMorphism
Let g be a finite group and let f in Aut(G) with all g in G, f(g)=g iff g=e
Show that all g in G, there exist a in G s.t. g=a^(-1).f(a)
let $A=\{a^{-1}f(a): \ a \in G \},$ and suppose that $a^{-1}f(a)=b^{-1}f(b),$ for some $a,b \in G.$ then $f(ab^{-1}... | 5 | [
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... | 17,275 | 17275 | |
Preserving structural properties
Prove that if G′ is cyclic then so is G. Thanks for the help!
Last edited by Kiwili49; October 22nd 2009 at 09:33 PM. Reason: Done with proof
Let $f(a)=b \in G'$ be a generator for $G'$ with $a \in G$. Since every $y \in G'$ is of the form $b^n$ for some $n$ we have $y=b^n=f(a)^n=f(a^... | 5 | [
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0... | 17,276 | 17276 | |
Extraction of Transmission Parameters for Siting and Sizing of Distributed Energy Sources in Distribution Network
Journal of Energy
Volume 2013 (2013), Article ID 938958, 9 pages
http://dx.doi.org/10.1155/2013/938958
Research Article
Extraction of Transmission Parameters for Siting and Sizing of Distributed Energy So... | 4 | [
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0.0169677734375,
0.052... | 17,277 | 17277 | |
Exact length of a curve?
April 24th 2013, 11:05 AM
Steelers72
Exact length of a curve?
Can anyone explain a method on how to go about this problem? I don't care for the answer; I'm just perplexed on how to begin the problem in a successful manner. Thanks!
edit here's syntax:http://www5a.wolframalpha.com/C... | 5 | [
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... | 17,278 | 17278 | |
Quadratics #3
November 16th 2008, 01:51 AM #1
Senior Member
Joined
Jul 2008
Posts
347
Hi
For the question:
Show that the equation (x^2 + 5x)/(7x + 9) = (1 - k)/(1 + k) has real roots for all values of k.
I know that for real roots, the discriminant has to be greater or equal than 0. I found... | 4 | [
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0.076171875,
-0.0703125,
-0.0213623046875,
0.032958984375,
0.0015716552734... | 17,279 | 17279 | |
Area of region of plane between the graph
April 13th 2009, 04:54 PM
Jim Marnell
Area of region of plane between the graph
Find the area of the region of the plane between the graphs of
$y=9-x^2$ and
$y=1+2x$
would $f(x)=9-x^2$
and $g(x)=1+2x$
and then set them equal? $9-x^2=1+2x$
confu... | 4 | [
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0.041015625,
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-0.008056640625,
-0.000331878662109375,
... | 17,280 | 17280 | |
Op-amp stability
I am confused about the stability of an op-amp voltage follower.
In the text that follows, I will arrive at a conclusion that
the op-amp voltage follower is unstable.
Please find out the flaw in the argument.
Consider this :
Four systems, A, B, C and D.
C and D are charectarized by an input-output
r... | 4 | [
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0.0346679687... | 17,281 | 17281 | |
Gravity's effects
Passionflower
Peter I mean by demonstrating using a test situation and formulas to prove it. It is so because it is so, is just a tautology.
I just added some formulas to my prior posting to show you what I am getting at.
I described how to set up the "test situations" you speak of, but sure, I'l... | 4 | [
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0.0605... | 17,282 | 17282 | |
Integrate a function which includes the integral of itself
September 14th 2009, 07:04 AM
Woppe
Integrate a function which includes the integral of itself
I've got the formula for the acceleration of a vehicle. Basically it looks like this:
$a = c_1 - c_2*v^2 - c_3$
Where a = acceleration
v = velocity... | 4 | [
-0.01239013671875,
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0.0060729... | 17,283 | 17283 | |
Math Help
April 16th 2010, 07:03 AM #1
Bearings
From his hotel room window on the fifth floor, Sarano notices some window washers high above on the hotel across the street. Curious as to their height above ground, he quickly estimates the
building are 50 ft. apart, the angle of elevation to the workers is ab... | 4 | [
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0... | 17,284 | 17284 | |
Flux Linkage - what, where, why?
hi lntz!
a major difficulty in understanding magnetic flux linkage is that it has the
same units
as magnetic flux (Wb)
if there are N turns of wire round an area A, through which there is a
magnetic field
B at an angle θ,
then the magnetic flux through A is Φ = BAcosθ,
and the m... | 4 | [
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Radius of convergence / endpoints
April 26th 2009, 04:25 PM
VkL
Radius of convergence / endpoints
I am really having trouble with this problem. The n'th term is given in the problem,
http://www.webassign.net/www22/symIm...fc23e2e01e.gif
(a) Determine the radius of convergence of the series.
(b) What... | 5 | [
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Polynomial (evaluation - multiplication - interpolation)
February 7th 2009, 06:49 PM #1
Newbie
Joined
Oct 2008
From
@home
Posts
17
Polynomial (evaluation - multiplication - interpolation)
Hello, I have no idea on how to solve this problem:
Given the polynomials $A=x^3 +2x -1 , B=x^2-x+3$ evaluate... | 4 | [
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-0.038574218... | 17,287 | 17287 | |
implicit differentiation
March 25th 2010, 12:36 PM #1
Junior Member
Joined
Sep 2008
From
houston
Posts
25
implicit differentiation
umm i don't remember how to find the slope for this problem.
use implicit differentiation to find and equation of the line tangent to the graph at the point (2,0)
... | 4 | [
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-0.0054931640625... | 17,288 | 17288 | |
Differentiation of Sinusoidal Functions
April 13th 2010, 03:50 PM #1
Newbie
Joined
Apr 2010
Posts
4
Differentiation of Sinusoidal Functions
Find the equation of the line that is tangent to $y = x^2sin(2x)$ at $x = -\pi.$
Shown work would be appreciated, thank you.
Last edited by Eixo; April 13... | 5 | [
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Derivation of Law of Cosines (excerpt)
Prove that $a=b \cos{C}+c \cos{B}$
I have that
$\cos{C}=\frac{x}{b} \implies x=b \cos{C}$
$\cos{B}=\frac{a+x}{c} \implies x=c \cos{B}-a$
Hence,
$a=c \cos{B}-b\cos{C}$
A difference instead of a sum??
| 4 | [
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0.05... | 17,290 | 17290 | |
Math Help
November 6th 2012, 01:32 PM #1
Newbie
Joined
Nov 2012
From
Bay Area
Posts
2
Polynomial
I'm getting stuck on a simple problem:
Solve by adding:
(1 / (x+3)) + (1 / (X^2+5x+6)
I have two ways of doing this where I can factor out the 1 / (X+3) or I can multiply the numerator to ... | 4 | [
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The instantaneous velocity of a freely falling object
What is the instantaneous velocity of a freely falling object 10 s after it is released from a position of rest? What is its average velocity during this 10 s interval? How far will it fall during
this time?
I had asked a few friends for help and I keep getting mix... | 4 | [
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Emulating Analytic (AKA Ranking) Functions with MySQL: Part 2
Emulating Analytic (AKA Ranking) Functions with MySQL: Part 2
by
Stephane Faroult
04/13/2007
As I have discussed more than once, the previously outlined emulation of analytic functions is fine as long as we wisely restrain ourselves to using only the ... | 5 | [
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Bruce and Anne can clean their house in 4 hours working toge
Author Message
TAGS:
Bruce and Anne can clean their house in 4 hours working toge [#permalink] 05 May 2013, ... | 4 | [
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Vector-
July 14th 2006, 08:47 PM
kingkaisai2
Vector-
A tunnel is to be evacated through a hill. In order to define position, coordinates (x,y,z) are taken relative to an origin O such that x is the distance east from O, y is the distance north and
z is the verticl distance upwards, with one unit equal to 100... | 5 | [
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search results
Expand all Collapse all Results 1 - 6 of 6
1. CMB 2011 (vol 56 pp. 194)
On the Smallest and Largest Zeros of Müntz-Legendre Polynomials
Müntz-Legendre polynomials $L_n(\Lambda;x)$ associated with a sequence $\Lambda=\{\lambda_k\}$ are obtained by orthogonalizing the system $(x^{\lambda_0}, x... | 4 | [
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... | 17,296 | 17296 | |
Antiderivatives
November 2nd 2009, 04:40 PM
Open that Hampster!
Antiderivatives
A high-speed bullet train accelerates and decelerates at the rate of 3 ft/s2. Its maximum cruising speed is 90 mi/h. (Give your answers correct to one decimal place.)
$a(t) = 3$
$v(t) = 3x+C$ x < $\frac{90-C}{3}$
$s(t) =... | 5 | [
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0.0040893554... | 17,297 | 17297 | |
Schur Complement Problem (Spectral/Num. Lin./Matrix Theory)
October 7th 2012, 02:54 AM
skeptopotamus
Schur Complement Problem (Spectral/Num. Lin./Matrix Theory)
Let $A \in F^{n \times n}$ be written in block form $A = \begin{pmatrix} A_{1,1} & A_{1,2} \\ A_{2,1} & A_{2,2} \end{pmatrix}$
where $A_{1,1} \in ... | 5 | [
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0.0... | 17,298 | 17298 | |
Patent US6078688 - Method for image segmentation by minimizing the ratio between the exterior boundary cost and the cost of the enclosed region
FIELD OF THE INVENTION
The present invention relates to image segmentation and particularly to image segmentation where a segmented region has both an exterior boundary cost a... | 4 | [
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