content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Patent US4637057 - Rotation of digital images
This invention relates to digital images, and in particular, to the fast, arbitrary rotation of digital images, using interpolation.
Prior systems such as shown in IBM Technical Disclosure Bulletin Vol. 17, No. 10, March 1975, and Vol. 18, No. 8, January 1976 disclose the ... | 4 | [
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0.08984375,
0.0111... | 14,400 | 14400 | |
Algebra Matrices
February 15th 2011, 11:46 AM #1
Newbie
Joined
Feb 2011
Posts
4
Algebra Matrices
Find all solutions to the system of equations.
1. 3x^2 + 4y = 17
2x^2 + 5y = 2
2. xy = 12
y = x - 4
Thanks in advance!
Last edited by mr fantastic; February 15th 2011 at 01:47 PM. ... | 4 | [
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... | 14,401 | 14401 | |
Divinding polynomials
December 4th 2011, 10:28 AM #1
Member
Joined
Sep 2011
Posts
114
Divinding polynomials
I did not know where to put this topic.
I am working doing long division on polynomials.
I had
______________
(x-2)|x^4-3x^2+4x-9
I ended up with a remainder of -5. I was jus... | 4 | [
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0.01708984375,
0.0... | 14,402 | 14402 | |
Solving Trig Equation
May 26th 2009, 11:39 PM
Peleus
Solving Trig Equation
Hi all,
To start with - the problem.
$3\sin^2\theta + 7\cos\theta = 5$ solve for $0 <= \theta <= 2\pi$
The working I've done so far.
1. $3(1 - \cos^2\theta) + 7\cos\theta = 5$
2. $3 - 3\cos^2\theta + 7\cos\theta =... | 4 | [
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0... | 14,403 | 14403 | |
Groups and Inner Automorphisms
Register to reply
by Locoism
Tags: automorphism, centraliser, group, subgroup
P: 81 1. The problem statement, all variables and given/known data
Let G be a group. Show t... | 4 | [
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Math of Induction - Divisbility
January 2nd 2009, 10:10 AM #1
Newbie
Joined
Jan 2009
Posts
2
Math of Induction - Divisbility
I'm trying to prove $3|(x^3 - x)$ through induction. (and for 5 in $x^5 - x$ but that's for later)
Done the base case which simplifies to 2
Assume for $x = k$ evaluates to ... | 5 | [
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... | 14,405 | 14405 | |
Differentiation of inverse tanh
March 16th 2010, 06:22 PM #1
Newbie
Joined
Feb 2010
Posts
19
Differentiation of inverse tanh
inverse tanh(X) = 1/2 ln(1+x/1-x) differentiate to show that d/dx = 1/1-x^2
I have been working on this problem for so long, can anyone show me the solution. Thanks!
$\ta... | 5 | [
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Hot-Air Balloon
January 15th 2007, 12:29 PM #1
Banned
Joined
Jan 2007
Posts
315
Hot-Air Balloon
A hot-air balloon, headed due east at an average speed of 15 mph and at a constant altitude of 100 feet, passes over an intersection. Find an expression for its distance d (in feet) from the
intersection t... | 4 | [
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Proof that a parametrized curve orthogonal to a certain vector v
April 19th 2012, 08:06 AM #1
Proof that a parametrized curve orthogonal to a certain vector v
Let $\alpha\colon I\rightarrow R^3$ be a parametrized curve and let $\mathbf{v} \in R^3$ be a fixed vector. Assume that $\alpha'(t)$ is orthogonal to $\mat... | 5 | [
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Matlab help with a special problem
November 7th 2009, 01:59 PM #1
Newbie
Joined
Nov 2009
Posts
5
Hello guys:
I have a problem to solve this problem. plz help me. I am novice in matlab so please tell me what can I do? Don't become confused, I've made the problem easy to understand. You don't need to kn... | 4 | [
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Logarithm questions
March 7th 2009, 09:13 AM #1
Newbie
Joined
Mar 2009
Posts
4
Logarithm questions
Hi,
Can anyone help me to solve the following:
I have to express log[base 10]48 in terms of x, y and z . Given that
log[10]24= x , log[10]80=y and log[10]25 = z
Best Regards,
Ananya
... | 4 | [
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Domain of Logarithm
September 8th 2010, 11:15 PM #1
Newbie
Joined
Sep 2010
Posts
2
Domain of Logarithm
ok, so i came accross this problem
(don't know how to subscript here...4 is the base)
g(x) = log4((x+3)/x)
and i have to find the domain. now, i know that (x+3)/x has to be greater than 0... | 4 | [
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0.00335693359375... | 14,411 | 14411 | |
Stuck on an Integration
January 1st 2011, 05:05 AM #1
Newbie
Joined
Dec 2010
Posts
17
Stuck on an Integration
$\int x^4 lnx$
So I used integration by parts
$u=lnx \ du= \frac1x \ dv= x^4 \ v=\frac15 x^5$
so using the formula
$UV-\int VdU$
I get
$lnx \frac15 x^5 - \frac15 \int \... | 5 | [
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combining functions question 4
Increasing x by y% gives 12. Decreasing x by y% gives 8. Deteremine the value of x.
Hello, math123456! I don't see how this relates to "combining functions." It is straight algebra . . . Increasing $x$ by $y$% gives 12. Decreasing $x$ by $y$% gives 8. Deteremine the value of $x.$ We
have... | 4 | [
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Proofs in linear algebra
September 21st 2009, 07:39 AM
skeeterrr
Proofs in linear algebra
I'm in a linear algebra class and I'm quite new to proofs... In my textbook there are quite a bit of questions that says to prove a bunch of properties and whatnot.
For example...
How would I go about proving
... | 5 | [
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FFT
Go to the first, previous, next, last section, table of contents.
This chapter describes functions for performing Fast Fourier Transforms (FFTs). The library includes radix-2 routines (for lengths which are a power of two) and mixed-radix routines (which work for
any length). For efficiency there are separate vers... | 5 | [
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... | 14,415 | 14415 | |
2nd order ODE including a quadratic
December 30th 2010, 11:06 PM #1
Newbie
Joined
Dec 2010
Posts
2
2nd order ODE including a quadratic
Hi all,
I am trying to solve for the rocking frequency of a semi-circular object (imagine a cylinder cut down the z axis so that the cross section is semi-circular), ... | 4 | [
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Permutation Groups
43 Permutation Groups
43.1 IsPermGroup (Filter)
43.1-1 IsPermGroup
‣ IsPermGroup( obj ) ( category )
A permutation group is a group of permutations on a finite set Ω of positive integers. GAP does not require the user to specify the operation domain Ω when a permutation group is defined.
gap> g... | 5 | [
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Sqrt(|xy|) derivatives at (0,0)
Curl
The simple question I was asking is this: if the partial derivatives at a point DISAGREES with what is obtained by using the partial derivative formulas (the way we learned in highschool with all the
differentiation rules etc etc) then does that mean that the function is not diff... | 4 | [
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-0.1... | 14,418 | 14418 | |
Speed of an air molecule when transmitting sound of frequency f
luckis11
Therefore, someone must find the correct equation. If I am wrong show me why.
My mistake could be that we can consider the speed of the molecule as zero when there is no sound, but why-how? Vin, don't say again that the average speed is zero "i... | 4 | [
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... | 14,419 | 14419 | |
Composable streaming folds
The Haskell Prelude provides multiple ways to fold lists into a single value. For example, you can count the number of elements in a list:
import Data.List (genericLength)
genericLength :: (Num i) => [a] -> i
... or you can add them up:
import Prelude hiding (sum)
-- I'm deviating from t... | 5 | [
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Patent US6266009 - Method to improve carrier smoothing of code pseudorange for global positioning and GNSS receiver implementing the same
FIELD OF THE INVENTION
The present invention relates to global navigational satellite system (GNSS) receivers, such as global positioning system (GPS) receivers. More particularly, ... | 4 | [
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Trig Limits Ugh
September 2nd 2012, 09:54 AM
psilver1
Trig Limits Ugh
Been struggling with doing trig limits amd this problem is driving me insane. We are suppose to work the problem to sinx/x format. The problem is lim as t---0 tan^2(3t) / 2t. im sure its easy but
not to me.
i started with doing lim t-... | 5 | [
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Linear factors with complex numbers.
April 29th 2013, 01:14 PM #1
Junior Member
Joined
Apr 2012
From
Seattle, Washington
Posts
72
Linear factors with complex numbers.
I went through my completed pretest with a classmate and came across this problem:
Factor x^4-4x^2-45 into linear factors allowin... | 4 | [
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0... | 14,423 | 14423 | |
Finding the derivative
May 11th 2010, 07:28 PM
spoc21
Finding the derivative
Find the derivative of the following function:
f(x) = (2x-3)^2/(x^3-7)^3
I am very confused here. Don't know what rule to use, as the exponents are outside the bracket. I would appreciate any help!
Thanks http://www.math... | 5 | [
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0.03... | 14,424 | 14424 | |
Urgent algebra homework! Xmas stuff... :D
January 7th 2008, 08:53 AM #1
Newbie
Joined
Jan 2008
Posts
2
Urgent algebra homework! Xmas stuff... :D
Despite the season being over I am still left puzzled over this problem.
The following questions are related to the popular Christmas song "The Twelve Days... | 4 | [
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-... | 14,425 | 14425 | |
Discrete Coupling and Synchronization in the Insulin Release in the Mathematical Model of the
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 427050, 7 pages
http://dx.doi.org/10.1155/2013/427050
Research Article
Discrete Coupling and Synchronization in the Insulin Release in the Mathematical ... | 4 | [
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-... | 14,426 | 14426 | |
Sliding Mode Control for NSVs with Input Constraint Using Neural Network and Disturbance Observer
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 904830, 12 pages
http://dx.doi.org/10.1155/2013/904830
Research Article
Sliding Mode Control for NSVs with Input Constraint Using Neural Network and Dis... | 4 | [
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-0.03759765625,
-0.162109375,
0.1220703125,
0.0341796875,
0.052734375,
... | 14,427 | 14427 | |
Photonic crystals for matter waves: Bose-Einstein condensates in optical lattices
« journal navigation
Photonic crystals for matter waves: Bose-Einstein condensates in optical lattices
Optics Express, Vol. 12, Issue 1, pp. 19-29 (2004)
http://dx.doi.org/10.1364/OPEX.12.000019
Abstract
We overview our recent theoret... | 4 | [
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Abelian and isomorphic groups, homomorphisms
February 28th 2011, 07:49 PM #1
Junior Member
Joined
Sep 2010
Posts
42
Abelian and isomorphic groups, homomorphisms
Suppose $A$ and $B$ are Abelian groups and $\varphi :A \rightarrow B$ is a group homomorphism. Suppose that there exists another group homomorph... | 4 | [
-0.087890625,
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0.004364013671875,... | 14,429 | 14429 | |
Y-coordinate of a centroid
June 6th 2008, 11:03 AM #1
Junior Member
Joined
Apr 2008
Posts
37
Y-coordinate of a centroid
Find the y-coordinate of the centroid of the semi-annular plane region by $1 <= x^2 + y^2 <= 4$ and $y > 0$.
The Mass of the plate is given by the integral
$\int_{-2}^{2}(\sqr... | 5 | [
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Please me proving this.
March 25th 2010, 08:41 AM #1
Junior Member
Joined
Nov 2009
Posts
58
Please help me proving this.
Please me with the following problem.
$\frac{\partial u^2}{\partial t^2} = c^2 \frac{\partial u^2}{\partial x^2} \;\;,\;\; u(0,t)=u(L,t)=0 \;\;,\;\; u(x,0)=f(x) \;\;,\;\; \frac{\p... | 5 | [
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Finding the line tangent to a point on a circle...
September 11th 2012, 01:10 PM
imanironmaiden
Finding the line tangent to a point on a circle...
Hi guys!
I was out sick for the last week or so and am catching up on all the calculus homework that I missed. There's one in particular that I'm having trouble w... | 5 | [
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-... | 14,432 | 14432 | |
Patent US6907091 - Segmented architecture for multiple sequence detection and identification with frequency offset compensation
RELATED APPLICATION
Related subject matter is disclosed in the following applications assigned to the same Assignee hereof: U.S. patent application entitled “Segmented Correlator Architecture... | 4 | [
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combinations
In how many ways can the letters in "mississippi" be arranged such that there are no consecutive s's?
Last edited by mathaddict; January 22nd 2010 at 07:14 AM.
Hello jmedsyIf, to begin with, we ignore the $4$s's, there are $\frac{7!}{4!2!}$ arrangements of the remaining $7$ letters, which have $4$ repeat... | 4 | [
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... | 14,434 | 14434 | |
Complex roots of a quadratic equation
July 30th 2010, 04:05 AM #1
Senior Member
Joined
Apr 2010
Posts
487
Complex roots of a quadratic equation
The question:
Use the properties of the complex conjugate to show that if the complex number 'z' is a root of a quadratic equation $ax^2 + bx + c = 0$ with ... | 4 | [
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... | 14,435 | 14435 | |
Velocity from acceleration if acceleration is a function of space...
fisico30
What would we get by doing integral a(x) dx? ... chain rule ...
You use chain rule
a(x) = dv/dt = f(x)
multiply dv/dt by dx/dx:
(dv/dt)(dx/dx) = (dx/dt)(dv/dx) = v dv/dx = f(x)
multiply both sides by dx
v dv = f(x) dx
If f(x) can be... | 5 | [
-0.003570556640625,
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0.1... | 14,436 | 14436 | |
Almost Cauchy-Goursat theorem
September 16th 2009, 10:49 AM
arbolis
Almost Cauchy-Goursat theorem
Let $C$ be the positive oriented frontier of the semi disk $0\leq r \leq 1, 0\leq \theta \leq \pi$ and let $f(z)$ be a continuous function defined in the semi disk, given by $f(0)=0$ and $f(z)=z^
{\frac{1}{2}}= ... | 5 | [
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-0.059326... | 14,437 | 14437 | |
Mutual Inductance Formula
The mutual inductance M of two coupled inductances L[1] and L[2] is equal to the mutually induced voltage in one inductance divided by the rate of change of current in the other inductance:
M = E[2m] / (di[1]/dt)
M = E[1m] / (di[2]/dt)
If the self induced voltages of the inductances L[1] a... | 4 | [
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... | 14,438 | 14438 | |
Easy character theory proof
April 4th 2010, 11:30 AM #1
Newbie
Joined
Apr 2009
Posts
18
Easy character theory proof
Let u: G x S -> S and v: G x T -> T be two actions of a finite group G on two finite sets S and T. Let w: G x (S x T) -> (S x T) be defined by:
w(g,(x,y))=(u(g,x),v(g,y)) for all (x,y)... | 5 | [
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finding.the.value.of a trigonometric ratio
November 25th 2012, 01:20 AM #1
Member
Joined
Nov 2012
From
Singapore
Posts
180
finding.the.value.of a trigonometric ratio
Hi I am wondering about my answer..Given that cosA-sinA=1/3,find the exact value of cosAsinA. I got (2sqrt(5))/9 but the answer is 4/9.... | 4 | [
-0.0206298828125,
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0.033935546875,
-0.008789062... | 14,440 | 14440 | |
Locus of foot of perpendicular from origin
May 30th 2010, 11:30 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Form the equation of straight lines joining the origin to the points of intersection of $ax^2+2hxy+by^2+2gx+2fy+c=0$ and $px+qy+r=0$ and write down the condition that these line... | 4 | [
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0.0... | 14,441 | 14441 | |
Orders of Groups
smoothman
Hi i have completed the answer to this question. Just need your verification on whether it's completely correct or not:
Question:
If G is a group and xEG we define the order ord(x) by:
ord(x) = min{[itex]r \geq 1: x^r = 1[/itex]}
If [itex]\theta[/itex]: G --> H is an injective group homo... | 5 | [
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-0.12... | 14,442 | 14442 | |
Vectors - shortest distance between two 3d lines
October 29th 2013, 02:05 PM
jimi
Vectors - shortest distance between two 3d lines
'Show that the shortest distance between the line with equations
(x + 4)/3 = (y - 3)/2 = (z + 6)/5
and the line with equations x - 2y - z = 0, x - 10y - 3z = -7
is 1/2 ... | 4 | [
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epsilon delta proof for 2 variable limit
September 25th 2012, 05:32 PM #1
Newbie
Joined
Sep 2012
From
Earth
Posts
18
epsilon delta proof for 2 variable limit
Hey I need to show that the limit(x,y)->(0,0) of xy / sqrt(x^2 + y^2) = 0. I'm not sure how to start manipulating this as I haven't gotten anyt... | 5 | [
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-... | 14,444 | 14444 | |
Volume change
August 4th 2006, 09:07 AM #1
Newbie
Joined
Jul 2006
Posts
15
Volume change
The edge of a cube expands 3 centimeters per second. In the moment in which each edge has a longitude of 10 cm, the volume changes with a velocity of:
a) 300 cm^3/s
b) 900 cm^3/s
We want $\frac{dV}{dt}$... | 4 | [
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0... | 14,445 | 14445 | |
more Differential Equations
January 18th 2010, 02:06 PM
youngidealist
more Differential Equations
A pool of 60,000 gal water is contaminated with 5kg of dye. The filter can remove the dye and pumps at a rate of 200 gal/min find the initial value problem. let q(t) be the amount of dye in the
pool at any time ... | 5 | [
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What is a "first-order reaction?"
Can someone tell me what a "first-order reaction" is in easy to understand terms please?
Say that we're given a chemical reaction: $A + B \to C + D$ And the rate of the reaction is given by: $r = k[A]^m [B]^n$ We say that the order of the reaction with respect to $A$ is $m$ and the or... | 4 | [
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... | 14,447 | 14447 | |
Worded problem - ages of a lot of people.
February 21st 2011, 11:31 AM #1
Newbie
Joined
Feb 2011
Posts
2
Worded problem - ages of a lot of people.
Hi. Recently, my math club teacher assigned me a math problem i could not solve. It appears to be a simple algebraic problem, but i keep getting conflicts abo... | 4 | [
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De Moivre's Theorem
November 17th 2010, 01:08 PM #1
De Moivre's Theorem
I have absolutely no idea where this question should go, so please feel free to move it to the correct subforum.
a)If $z = cos\theta + i sin\theta$, use de Moivre's theorem to show that $\displaystyle z^n + \frac{1}{z^n} = 2cos (n\theta)... | 5 | [
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-0.03442382812... | 14,449 | 14449 | |
Optimal production?
October 1st 2010, 05:15 PM #1
Junior Member
Joined
Jan 2010
From
Florida
Posts
27
Optimal production?
I need to find the optimal level of inputs, the minimum total cost, and the average cost given the following conditions:
Min 25K + 5L
s.t. $100=L^{.75}K^{.25}$
The s... | 5 | [
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-... | 14,450 | 14450 | |
Limits, radian angles
October 13th 2009, 05:26 PM #1
Newbie
Joined
Sep 2009
Posts
23
Limits, radian angles
Evaluate the following limits, assuming all angles are in radian
a) lim x->0 (sin5x)/(sin6x)
b) lim x->0 (xsin6x)/(sin^2(9x))
c) lim x->0 (sin3x)/(9x-2tanx)
do you know l'hospi... | 5 | [
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0.... | 14,451 | 14451 | |
Patent US6728920 - Method for correcting errors in transfer of information
FIELD OF THE INVENTION
The present invention relates to an error correction method for a lossy communications environment. It may readily be applied to a high traffic or high loss multipoint system. The present invention
may be used in any digi... | 4 | [
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0.032958984375,
0.057128906... | 14,452 | 14452 | |
Patent US8023651 - Block ciphering system, using permutations to hide the core ciphering function of each encryption round
FIELD OF THE INVENTION
The invention relates to a method of providing a cascaded signal processing function to an execution device in a secure and/or personalized way. The invention also relates t... | 4 | [
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-0.025... | 14,453 | 14453 | |
Calc 3 question - change of variables and computing the jacobian?
November 25th 2012, 11:52 AM
nanji
Calc 3 question - change of variables and computing the jacobian?
The problem asks to use a change of variables compute the double integral of y^4dA over R, where R is the region bounded by the hyperbolas xy=1 an... | 4 | [
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0.0228271484... | 14,454 | 14454 | |
TP of quadratic when given y & x ints
February 24th 2006, 06:40 PM
freswood
TP of quadratic when given y & x ints
A parabola has a turning point at (z, -8); it intersects the y-axis at y=10 and one of the x-intercepts is x=5.
Find the value of z
Find the equation of the parabola
It's seemingly easy... | 4 | [
-0.04736328125,
0.009521484375,
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0.068359375,
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0.07568359375,
-0.0194091796875,
0.0203857421875,
0.0751953125,
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0.1123046875,
0.0118408203125,
0.049560546875,
-0.022705078125,
-0.068359... | 14,455 | 14455 | |
How to find the maximum point of a graph
May 2nd 2010, 01:33 PM
florx
How to find the maximum point of a graph
Question: Find the maximum y value of the graph between 0 ≤ x ≤ 3
Equation:
f(x) = x(8-2x)(6-2x)
Answer:
24.26
How would you find the maximum y value of this graph? Is it not lik... | 5 | [
0.02978515625,
-0.06298828125,
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0.0947265625,
-0.027099609375,
-0.09... | 14,456 | 14456 | |
Factorials
September 2nd 2008, 03:21 AM
Number Cruncher 20
Factorials
Hi,
Does anyone know whether it is possible to simplify a factorial as follows:
${n\choose i}{n-m\choose i-m}$
= (n-m)! / ((i-m)!(n-m-i-m)!)
=(n-m)!/((i-m)!(n-i)!)
=(n-m)!/(i-m+n-i)!
=(n-m)!/(n-m)!
=1
September ... | 5 | [
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0.15625,
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0.06298828125,
-0.057... | 14,457 | 14457 | |
Tricky ODE problem
September 20th 2008, 06:02 PM
dave d
Tricky ODE problem
Hi - having trouble with this ODE question:
x^2y" + 2xy' - 4y = 0 I'm looking for a value of 'p' where y = x^p satisfies the ODE. My analysis -
This is a 2nd order ODE of the form f(x, y', y") so I'm using a 'reduction of order'... | 5 | [
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0.0030517578... | 14,458 | 14458 | |
Equation of Line Tangent to Intersection of Surfaces
October 5th 2009, 02:47 PM #1
Newbie
Joined
Oct 2009
Posts
21
(PLEASE HELP) Equation of Line Tangent to Intersection of z = arctan(xy) and x = 2
Can someone help me with this problem? I'm trying to find the equation of the line tangent to the intersect... | 5 | [
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0.06982421875,
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-0.064453125,
0... | 14,459 | 14459 | |
Trig equations
July 20th 2006, 08:21 AM #1
Trig equations
How do I solve this?
-0.5 = sin((Pi*x)/12)
Sin is -0.5 when the angle is 30. Since it is negative, angles are 210 and 330.
I get eventually 7,11,14,23...
Which are wrong somehow. Please help! Thx
Solve for x:
$sin^{-1}(-1/2)=\... | 4 | [
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0.046875,
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0.005950927734375,
... | 14,460 | 14460 | |
Related rate
December 1st 2011, 07:55 PM
Zaide
[SOLVED] Related rate
Hi guys !
There's a related rate problem I really can't figure out. I think I have an idea, but I'm not too sure about it. Heres the situation :
A ball is dropped at t=0 at 15 m high, 9 m from a lamp. This lamp has a height of 15 m too... | 5 | [
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0.03662109375,
-0.00735473632812... | 14,461 | 14461 | |
Chain rule stuff
October 17th 2006, 04:05 PM #1
Member
Joined
Oct 2006
Posts
88
Chain rule stuff
Fine the derivative of the function:
1. g(x)=(1+4x)^5 (3+x-x^2)^8
2. y(x)=2^(sin(pie)x)
3. (1+cos^2x)^6
i dont get this **** and my test is on thursday.
Last edited by ThePerfectHacker; ... | 5 | [
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0.030883789... | 14,462 | 14462 | |
Brevet US6725174 - Edge-preserving enhancement of seismic images by nonlinear anisotropic diffusion
PRIORITY CLAIM
The present application claims priority on European Patent Application 00306780.8, filed on Aug. 9, 2000.
BACKGROUND OF THE INVENTION
The present invention relates to a method of processing an image, fo... | 4 | [
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-0.0595703125,
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0.0... | 14,463 | 14463 | |
4.9 Test on linearization
[ < ] [ > ] [ << ] [ Up ] [ >> ] [Top] [Contents] [Index] [ ? ]
4.9 Test on linearization
Mathematical model of geodetic network adjustment in gama-local is defined as a set of known real-valued differentiable functions
where L^* is a vector of theoretical correct observations and X^*... | 4 | [
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0.0093994140625,
-0.0... | 14,464 | 14464 | |
more of an algebra problem...
In the identity, $\frac{n!}{x(x+1)(x+2).....(x+n)} = \sum_{k=0}^n \frac{A_{k}}{x+k}$ prove that $A_{k}=(-1)^{k}\binom{n}{k}$ Thanks in advance
using mi is the way to go. for n=0, lhs = rhs = 1/x assume it holds for n prove it still holds for n+1, using this hint 1/[(x+k)(x+n+1)] = [ 1/(x+... | 4 | [
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0.05... | 14,465 | 14465 | |
linear differential equation
February 21st 2009, 05:26 AM #1
Newbie
Joined
Jan 2009
Posts
23
linear differential equation
Hello
im stuck on the following differential equation. I understand since it linear we find the general solution by finding the complementary function and adding it together with... | 5 | [
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0.028... | 14,466 | 14466 | |
The UNDEFINED integral.
April 15th 2009, 06:28 PM
VonNemo19
The UNDEFINED integral.
Is the epsilon-delta definition of the integral totally useless, or can it be applied in the same way as the definition of the ordinary limit? Thinking about it just twists my noodle. I've tried
researching but, answers to th... | 5 | [
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-0.003875732... | 14,467 | 14467 | |
Physics Forums - View Single Post - My Algebra Questions
JasonRox
The textbook originally said G acts on X by conjugation. That was a typo for sure.
G does act on the set X by conjugation, since that is how it was defined. So does any subgroup of G, including H.
I don't really find all the details self-explanator... | 4 | [
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Patent US6614857 - Iterative channel estimation and compensation based thereon
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to the field of wireless communication, and more particularly, a method of channel estimation and compensation based thereon.
2. Description of Related Ar... | 4 | [
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-0.0230712... | 14,469 | 14469 | |
Patent US6438180 - Soft and hard sequence detection in ISI memory channels
CROSS REFERENCE TO RELATED APPLICATIONS
This application is a continuation-in-part of U.S. patent application Ser. No. 09/055,003, filed Apr. 3, 1998, which claims priority to Provisional Ser. No. 60/046,006, filed May 9, 1997, under 35
U.S.C. ... | 4 | [
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0.020751953125,
-0.000579833984375... | 14,470 | 14470 | |
Voronoi Diagrams
30.2 Voronoi Diagrams
A Voronoi diagram or Voronoi tessellation of a set of points s in an N-dimensional space, is the tessellation of the N-dimensional space such that all points in v(p), a partitions of the tessellation
where p is a member of s, are closer to p than any other point in s. The Vorono... | 4 | [
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-0.12792... | 14,471 | 14471 | |
Limit of product of sequences
June 8th 2010, 12:31 PM #1
Member
Joined
Oct 2009
From
United States
Posts
169
Limit of product of sequences
Evaluate lim sqrt(n)*[sqrt(n+1)-sqrt(n)]
I know that limit sqrt(n) = Infinity and that limit (sqrt(n+1)-sqrt(n)) = 0. And I know that sqrt(n)*(sqrt(n+1)-sqrt... | 5 | [
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0.005218505859375,
0... | 14,472 | 14472 | |
I
APPENDIX B
CALCULATIONS OF REQUIRED DRIVE CURRENT i[D]
In the text, a difference equation is obtained from which the energy transfer from the drive to the bucket coil can be found as a function of i[D] , with the circuit constants n[2], L[w] and C, and
velocity v as parameters. The program in this appendix solves th... | 4 | [
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-0.03... | 14,473 | 14473 | |
Stabilizing solutions to output feedback pole placement problem with parameter drift and automated alerting of system parameter changes - Patent # 7840392 - PatentGenius
Stabilizing solutions to output feedback pole placement problem with parameter drift and automated alerting of system parameter changes
7840392 ... | 4 | [
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Matrices and linear maps.
November 24th 2011, 02:13 PM
HallsofIvy
Re: Matrices and linear maps.
Let me re-enforce this by looking at a similar problem.
Suppose f is a linear transformation from $R^3$ to $R^2$ defined by $f\left(\begin{pmatrix}x_1 \\ x_2\end{pmatrix}\right)= \begin{pmatrix}x_1+ x_2 \\ 2x_1- ... | 5 | [
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-0.09716796875,
0.... | 14,475 | 14475 | |
Differentiability definition
May 21st 2011, 03:33 AM #1
Newbie
Joined
May 2011
Posts
10
Differentiability definition
If $g:[-1,1] \rightarrow \mathbb{R}$ is differentiable with $g(0)=0$ and $g(x) eq 0 \forall xeq 0$ and $f:\mathbb{R} \rightarrow \mathbb{R}$ is continuous with $\frac{f(x)}{g(x)} \rightarr... | 5 | [
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0.0284423828125,... | 14,476 | 14476 | |
drawing marbles from a bag
September 22nd 2008, 02:31 AM #1
Newbie
Joined
Sep 2008
Posts
2
drawing marbles from a bag
if there are 20 white marbles and 32 black marbles in a bag
what is the probability of drawing 20 marbles where 10 are white and 10 are black ?
is there a formula ?
Yes. Read... | 4 | [
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Order of a group
November 30th 2008, 03:33 PM #1
Order of a group
Let $\mathbb F$ be a field. Prove that $SL_2 (\mathbb F)$ be the group of 2 x 2 matrices with coefficient in $\mathbb F$ and determinant equal to 1.
Question : If F has q elements, how many elements are in the group $SL_2 (\mathbb F)$?
I kno... | 5 | [
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-0.07861328125,
-0.0120239... | 14,478 | 14478 | |
speed calculation
June 10th 2009, 08:27 PM #1
Junior Member
Joined
May 2009
Posts
25
speed calculation
An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s=10) the radar detects the distance s is changing at a rate of 240 miles
per h... | 4 | [
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0.03613... | 14,479 | 14479 | |
Plotting the intersecting point
September 11th 2008, 10:48 AM #1
Newbie
Joined
Sep 2008
Posts
8
Plotting the intersecting point
My equation is: x+3y=4 and 2x-y=1 I need to plot the intersecting point on a graph and cannot seem to come up with the correct answer.
If you're graphing these, then it's e... | 4 | [
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-0.109863281... | 14,480 | 14480 | |
Find mu (mean); E [X (X - 1)] and sigma squared (variance) for each of the following
September 27th 2009, 09:47 AM #1
Junior Member
Joined
Sep 2009
Posts
69
Find mu (mean); E [X (X - 1)] and sigma squared (variance) for each of the following distributions:
1. f (x) = (1 / x! ) (1/2)^5 (5! / (5 - x)! )... | 5 | [
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0.0284423828125,
-0.03857421875,
-0.0... | 14,481 | 14481 | |
Combine Scaling and Translation Matrices
August 18th 2010, 07:30 AM #1
Newbie
Joined
Aug 2010
Posts
1
Combine Scaling and Translation Matrices
Hello all,
I am revising for a maths resit paper taking place next week and could really do with some help regarding this past paper question.
Derive a ... | 4 | [
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Real Analysis proof help, convergence
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by CrazyCalcGirl
Tags: analysis, convergence, proof, real
P: 15 1. The problem statement, all variables and given/known data
The problems state... | 5 | [
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Finding the limit
Im stuck trying to find the limit of $(sqrt(x^2 + 12)-2*x)/(x-2)$ as x approaches 2
Alternatively, L'Hospital's Rule works nicely in this case since it is of the indeterminate form $\displaystyle \frac{0}{0}$. \displaystyle \begin{align*} \lim_{x \to 2}\frac{\sqrt{x^2 + 12} - 2x}{x
- 2} &= \lim_{x \t... | 5 | [
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Summation up to p-1 modulo p, p prime
October 21st 2011, 12:53 AM
Deveno
Re: Summation up to p-1 modulo p, p prime
the original question asked for what is: $\sum_{n=1}^{p-1} n^k\ (mod\ p)$? perhaps the difficuly is in what you meant by "it" in your post...your "it" and Pinkk's "it" may be 2 different things.
... | 5 | [
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Gamma(i)
September 24th 2007, 12:05 AM
bobbyk
Gamma(i)
Express Gamma(i) in terms of elementary functions, if possible.
(i is the imaginary unit and Gamma is Euler's Gamma Function)
(Elementary functions are as defined in Wickepedia)
Bob.
September 24th 2007, 03:43 AM
Jhevon
Quote:
do y... | 5 | [
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Seek Matlab Help in this problem..
% Calculate the vapor Pressure of n-heptane using SRK-EOS
% P = RT / V - b - alpha*a / V(V-b)
R = 8.134e-3; % MPa m3 / mole.K
n = 0;
n = n+1;
for i=1:5
Pn = 1.6714; %(Assume Pressure)> this needs updating
Tr = 0.9;
Tc = 540.13; % K
Pc = 2.74; % Mpa;
T = Tr*Tc;
w = 0.350;
m = 0.480+1.5... | 4 | [
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0.... | 14,487 | 14487 | |
Strange geodesic in Schwartzschild metric
George Jones
[tex]
\begin{equation*}
\begin{split}
\mathbf{a} &= \nabla_{\mathbf{u}} \mathbf{u} \\
&= u^\alpha \nabla_{\partial_\alpha} \left( u^\beta \partial_\beta \right) \\
&= u^\alpha \left( \nabla_{\partial_\alpha} \left( u^\beta \right) \partial_\beta + u^\beta \nabla... | 4 | [
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-0.00576782226562... | 14,488 | 14488 | |
Derivatives of ln of summation
Summations and calculus gives me fits so please verify my results on these 2 issues:
1. Z = summation ( exp ( - B*E(s)) ) where the sum is over s
d/dB of ln(Z) = d/dB (ln (exp(-BEo) + exp(-BE1) + ... exp(-BEn))
= (exp(-BEo) + exp(-BE1) + ... exp(-BEn))^-1 +
(-E0*exp(-BEo) + -E1*exp(-BE1... | 4 | [
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Linearly independent set.
April 22nd 2009, 11:08 PM #1
Senior Member
Joined
Jul 2006
Posts
364
Linearly independent set.
Given $\vec{x_1} = (1, 2, -1,0),\vec{x_2} = (15 , 1, 0, 3), \vec{x_3} = (-2, 13, 3, -2)$. Find a vector $\vec{x_4}$ such that $A=\lbrace \vec{x_1}, \vec{x_2}, \vec{x_3},\vec{x_4}\rbrac... | 5 | [
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limits and differentiation
November 24th 2005, 01:19 AM #1
Newbie
Joined
Nov 2005
Posts
4
limits and differentiation
2. a) Define what it means to describe a function f of two real variables as differentiable at (a, b)? Define (as limits) the partial derivatives df/dx and df/dy at
(a, b) and prove th... | 5 | [
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can't solve a trigo equ
June 14th 2008, 11:48 PM
afeasfaerw23231233
can't solve a trigo equ
i can't solve this trigo equ. :(
$2sinx cos^2x - (1+sinx)(cos^2 x - sin ^2 x) = 0$
$sin 2xcos^2 x - (1+sinx )(cos2x)= 0$
$tan2x = \frac {1+sinx}{cos^2x}$
?
June 15th 2008, 12:07 AM
red_dog
I used th... | 4 | [
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Nth term for integers resulting from an algorithm...
January 17th 2007, 02:20 AM #1
Member
Joined
Nov 2006
Posts
126
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:... | 4 | [
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Swinburne’s Case for God – Part 8
I have managed to write seven posts describing and explaining Swinburne’s case for God, but have not yet discussed a single specific argument for or against God. So, it is now time to examine an
actual specific argument. (In my defense, the first 132 pages of EOG are introductory, and ... | 4 | [
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Sequence and series
April 8th 2009, 01:19 AM
a69356
Sequence and series
Q- Find the sum of the series -
1+1/3+1/6+1/10+1/15+...........
what should be our approach to solve these kind of questions ?
Thanks,
Ashish
April 8th 2009, 01:50 AM
running-gag
Hi
$S = \frac{1}{1} + \frac{1}{... | 5 | [
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0.08740... | 14,495 | 14495 | |
Volume of a cone
April 20th 2008, 01:48 PM #1
Member
Joined
Mar 2008
Posts
99
Volume of a cone
A cone without base is made from a quarter-circle. The base of the cone is a circle of radius 3 cm. What is the volume of the cone? Explain your reasoning.
Any help would be appreciated, thanks!
the c... | 4 | [
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Question Difficulty
Hi, to 1) The fishing boat needs $\frac{400}{8.5}\approx 47\ s$ the ferry needs $\frac{120}{3}= 40\ s$ So the ferry is 21 m south of the fishing boat when it reaches the point X. (Quite a narrow
escape!) to 2) Use the Pythagoran rule: $d=\sqrt{400^2+120^2}\approx 417.6 m$ to 3) Use the Pythagoran ru... | 5 | [
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Water World
Abstract: A model is described for an Earth like planet “Water World” with a surface 100% covered in water able to self-regulate it’s temperature as incident solar radiation increases by a third.
The model assumes that convective clouds increase while normalized greenhouse effects decrease as the sun bri... | 4 | [
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If a committee of 3 people is to be selected from among 5
Author Message
TAGS:
If a committee of 3 people is to be selected from among 5 [#permalink] 06 Jan 2008, 02:12
1... | 4 | [
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