content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Patent US20050137830 - Outlier correction with a median method
Publication US20050137830 A1
number
Publication Application
type
Application US 11/021,591
number
Publication Jun 23, 2005
date
Filing date Dec 23, 2004
Priority date Dec 23, 2003
Also EP1548622A1, US8185347
published as
Publication 021... | 4 | [
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0.038085937... | 23,900 | 23900 | |
How to Factor Polynomials EasilyGradeAmathHelp.comHow to Factor Polynomials EasilyGradeAmathHelp.com
How to Factor Polynomials
Learning how to factor polynomials does not have to be difficult. GradeA will break down the steps for yo... | 4 | [
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0.07763... | 23,901 | 23901 | |
Denumerable Partition
May 19th 2009, 04:42 AM #1
Junior Member
Joined
Apr 2009
Posts
50
Denumerable Partition
Suppose $A$ is denumerable. Prove that there is a partiion $P$ of $A$ such that $P$ is denumerable and for every $X \in P, X$ is denumerable.
...
Note that for any partition $P$, it is ... | 5 | [
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Find the value between 0 and 2pi
July 8th 2009, 10:43 PM #1
Senior Member
Joined
Jul 2009
From
Singapore
Posts
338
Find the value between 0 and 2pi
Find the values of A in the range between 0 and 2pi for which
sinA+sin3A=cosA+cos3A
I have been trying for two days and still can't get it yet. ... | 4 | [
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0.008... | 23,903 | 23903 | |
Microarchitecture of an arithmetic unit - Patent # 6925480 - PatentGenius
Microarchitecture of an arithmetic unit
6925480 Microarchitecture of an arithmetic unit
Patent ... | 4 | [
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Patent US6801161 - System and method for auto calibrated reduced rank adaptive processor
CROSS REFERENCE TO RELATED APPLICATIONS
This application claims benefit of U.S. Provisional Application No. 60/335,800 entitled System and Method for Auto Calibrated Reduced Rank Adaptive Processor and filed Dec. 5, 2001, which ... | 4 | [
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0.00241088... | 23,905 | 23905 | |
Patent US7447295 - Method and tomography unit for the reconstruction of a tomographic display of an object
PRIORITY STATEMENT
The present application hereby claims priority under 35 U.S.C. §119 on German patent application number DE 10 2005 050 917.7 filed Oct. 24, 2005, the entire contents of which is hereby incorpor... | 4 | [
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Math Help
December 3rd 2008, 02:52 PM #1
restrictions
determine the restrictions on the y-intercept so that $y= 3x^2+6x-1$ intersects with a line with slope 2 in more then one place.
restrictions
I'll take a shot at this...
1. Differentiate the equation to find the x,y coordinates where the slope=2: T... | 4 | [
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quadtratic formula problem
April 19th 2007, 01:07 PM #1
Junior Member
Joined
Mar 2007
Posts
45
quadtratic formula problem
Hello. I have a problem 80x+80=9x^2+18x It says use the quadtaric forumla to obtain x=8,10.
I get the 8, but I can't figure out how they got 10. I keep getting 10/9. Thanks for a... | 4 | [
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Losing my mind
December 6th 2008, 10:24 AM
EzLivinJay
Losing my mind
I have searched my book front to back to find just one example of this type of problem and fond nothing. I
have also looked through both this forum and yahoo answers and saw nothing this ridiculous.
PLZ help me and save me from an anur... | 4 | [
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Simple question -definition of derivative
March 7th 2010, 01:26 PM #1
Newbie
Joined
Feb 2010
Posts
5
Simple question -definition of derivative
We've all seen the definition, but for some reason I still don't understand the logic behind it. This is the part of the definition that I have a problem with:
... | 4 | [
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Help with critical points
December 6th 2011, 09:58 PM #1
Junior Member
Joined
Nov 2011
Posts
45
Help with critical points
Assuming that A is a real symmetric n x n matrix, and $f(x) = (Ax \cdot x) e^{||x||^{2}}$
prove that f has a critical point at x if and only if Ax = ?.
I need to find out wh... | 4 | [
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Continuous functions: Images and Pre-images of closed and open sets
April 15th 2012, 06:21 PM #1
Junior Member
Joined
Jun 2011
Posts
45
Continuous functions: Images and Pre-images of closed and open sets
I'm having a bit of difficulty seeing whether a function or its inverse preserves whether a set's ima... | 5 | [
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Finding Trig Values
December 26th 2008, 02:05 PM #1
Newbie
Joined
Dec 2008
Posts
8
Question is:
If A is an acute angle and CosA=4/5, find the values of,
a) sin2A
b) Sin3A
c) Tan3A
I sort of have an understanding with this question, but i dont really get it, especially part b) and... | 4 | [
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Rotated Spheroid
InfernoSun
Ok. But in your solution, the tangent plane has just as many unknowns as the original equation. Not a complete solution I'm afraid.
I'm not quite sure what you mean here. If you fix a point (x,y,z) on the surface, the tangent space at that point is given by all vectors [tex](v_1, v_2, v_3)... | 4 | [
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Convergence with ratio/root test and power series
November 19th 2008, 03:07 PM
fogel1497
Convergence with ratio/root test and power series
Okay so i missed the days in class when we went over power series and ratio/root test because of another exam. Reading my book i cant figure out how to do ratio/root test and... | 5 | [
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A Multipopulation PSO Based Memetic Algorithm for Permutation Flow Shop Scheduling
The Scientific World Journal
Volume 2013 (2013), Article ID 387194, 11 pages
http://dx.doi.org/10.1155/2013/387194
Research Article
A Multipopulation PSO Based Memetic Algorithm for Permutation Flow Shop Scheduling
Key Laboratory of I... | 4 | [
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Derivative of reciprocal functions
June 4th 2008, 01:08 PM
SportfreundeKeaneKent
Derivative of reciprocal functions
Hi, I have a question asking: "f(x) is a differentiable function. Find the derivative of the recip. function g(x) = 1/f(x) at those points where f(x) does not = 0."
What exactly am I finding t... | 4 | [
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linear combination urgent help
December 7th 2013, 05:05 AM #1
Newbie
Joined
Dec 2013
From
riyadh
Posts
4
linear combination urgent help
Let A= . -1 1 -1 3
3 1 -1 -1
2 -1 -2 1
a) Find a matrix B that is row equivalent to A.
b) Determine whether the fourth column vector forms a linear c... | 4 | [
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Nonlinear Equation
April 24th 2011, 11:53 PM #1
Junior Member
Joined
Aug 2009
Posts
38
Nonlinear Equation
Solve the given DE by using the substitution u = y'
(y + 1)y" = (y')^2
(y + 1)u' = u^2
u' = u*du/dy
(y + 1)u*du/dy = u^2
(y + 1)du/dy = u
1/(y + 1) dy = (1/u) du
ln(y + ... | 5 | [
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Trig Identities Prob
April 15th 2008, 12:10 PM #1
Newbie
Joined
Apr 2008
Posts
4
Trig Identities Prob
'Solve sin x + 4 cos x = 3'
Can anyone help me with the above problem? Trigonometric identities and formulae confuse me.
------------------------------------
I have tried doing this:
sin... | 4 | [
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Product of a Sum and a Difference
If we multiply the sum a + b and the difference a - b by using FOIL, we get
(a + b)(a - b) = a^2 - ab + ab - b^2
= a^2 - b^2
The inner and outer products add up to zero, canceling each other out. So the product of a sum and a difference is the difference of two s... | 4 | [
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Method of Proving Euler's Formula?
HallsofIvy
How do you determine that e^ix has period [itex]2\pi[/itex] with using Euler's formula?
With
Euler's formula? Sine and cosine have a period of 2 pi. Therefore, an addition of the two also has a period of 2 pi.
Without, [itex]\displaystyle e^{ix} = \lim_{n \rightarrow ... | 5 | [
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Systems of nonlinear equations in two variables- Need help with 2 problems
November 16th 2007, 07:44 PM
soly_sol
Systems of nonlinear equations in two variables- Need help with 2 problems
Can you please me with the following problems:
Solve by the method of your choice.
x^2+y^2=50
(x-7)^2+y^2=1
... | 4 | [
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Need help calculating limit
July 31st 2013, 04:40 AM #1
Newbie
Joined
Jun 2013
From
Germany
Posts
2
Need help calculating limit
Hi everyone,
I found this limit in a research paper, and I'm simply not able to get to the same result.
I hope some of you can help me a little bit.
Hypothesis ... | 5 | [
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... | 23,924 | 23924 | |
Simple Topology Proof
August 8th 2012, 11:34 AM #1
Simple Topology Proof
Suppose $U$ and $V$ are pointsets of $\mathbb{R}$. If $U$ and $V$ both have a leftmost point, prove that the union $U \cup V$ also has a leftmost point.
I can kind of see how this would be true, but I am having a lot of trouble formaliz... | 4 | [
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Patent US4719571 - Algorithm for constructing tree structured classifiers
Publication number US4719571 A
Publication type Grant
Application number US 06/836,677
Publication date Jan 12, 1988
Filing date Mar 5, 1986
Priority date Mar 5, 1986
Fee status Lapsed
Also published as CA1266527A... | 4 | [
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Fabrication and Characterization of a Tunable In-plane Resonator with Low Driving Voltage
Open Access This article is
• freely available
• re-usable
Article
Fabrication and Characterization of a Tunable In-plane Resonator with Low Driving Voltage
^1
Department of Mechanical Engineering, National Chung Hsing Un... | 4 | [
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0.01373291015625,
0.1318359375,
-0.0205078125... | 23,927 | 23927 | |
Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 178209, 7 pages
http://dx.doi.org/10.1155/2013/178209
Research Article
Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations
^1College of Mathematics and Stati... | 5 | [
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0.0172119140625,
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0.15625,
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-0.09228515625,
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0.04443359375,
-0.1640625,
-0.... | 23,928 | 23928 | |
Inverse Trigonometry Function
August 1st 2008, 08:29 AM
Simplicity
Inverse Trigonometry Function
Question:
$f(x) = \sin ^{-1} \left(\frac{x}{a}\right) \implies f'(x) = \frac{1}{\sqrt{a^2-x^2}}$
$f(x) = \cos ^{-1} \left(\frac{x}{a}\right) \implies f'(x) = - \frac{1}{\sqrt{a^2-x^2}}$
These two seem ... | 5 | [
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0.06201171875,
-0.087890625,
-0.03... | 23,929 | 23929 | |
General Uncertainty Principle
previous index next PDF
General Uncertainty Principle
Michael Fowler 12/ 9/06
Uncertainty and Non-Commutation
As we discussed in the Linear Algebra lecture, if two physical variables correspond to commuting Hermitian operators, they can be diagonalized simultaneously—that is, they ... | 4 | [
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0.0625,
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0.020263671875,
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0.10302734375,
-0.... | 23,930 | 23930 | |
Heat transfer from pipe
Continuing along these lines, we find that the solution is
[tex]T_\mathrm{water,final}=T_\mathrm{air}-(T_\mathrm{air}-T_\mathrm{water,initial})\exp (-k^\prime L/r_i^2 c\rho v)[/tex]
where [itex]T_\mathrm{water,final}[/itex] is the water exiting the pipe, [itex]T_\mathrm{water,initial}[/itex] i... | 4 | [
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... | 23,931 | 23931 | |
Patent US20030198348 - Method and apparatus for encrypting/decrypting data
TECHNICAL FIELD
[0001] The present invention relates to a method and apparatus for encrypting/decrypting data.
BACKGROUND
[0002] When dealing with private and confidential information there is frequently a need to ensure that the information ... | 4 | [
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0.07958984375,
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0.01... | 23,932 | 23932 | |
Minimal normal subgroups are elementary Abelian
May 27th 2010, 06:34 AM
Giraffro
Minimal normal subgroups are elementary Abelian
Hey, can anybody help me with this?
If $G$ is a finite group with a minimal non-trivial normal subgroup $M$ such that $M$ is Abelian, then $\exists p \in \mathbb{N}^+$ prime such ... | 5 | [
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0.07617... | 23,933 | 23933 | |
Nitpicky details of solid body motion
D H
You get an additional term on the right hand side even if the moments are calculated about the center of mass. Euler was the first to discover these. See
http://en.wikipedia.org/wiki/Euler's...body_dynamics)
, or see any upper level undergraduate classical mechanics text.
... | 4 | [
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0.11474609375,
-... | 23,934 | 23934 | |
Marginal Revenue problem
May 30th 2009, 10:14 AM #1
Junior Member
Joined
Dec 2007
Posts
53
Marginal Revenue problem
The revenue $R$ (in dollars) from renting $x$ apartments can be modeled by:
$R=2x(900+32x-x^2)$
Find the additional revenue when the number of rentals is increased from 14 to 15, ... | 4 | [
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0.026611328125,
0.0040283203125,
0... | 23,935 | 23935 | |
Upper Lower Limit and intermediate value
December 18th 2009, 01:31 AM #1
Upper Lower Limit and intermediate value
Suppose $f(x)=\cos{x^2}-\cos{(x+1)^2}$.
(1)Find the upper and lower limit of $f(x) \text{ as }x\to +\infty$.
(2)Let A be the upper limit, B be the lower limit. prove or disprove that
for a... | 5 | [
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0.03515625,
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0.0439453125,
-0.087890625,... | 23,936 | 23936 | |
Patent US7921144 - Fast correctly-rounding floating-point conversion
BACKGROUND
1. Technical Field
The present invention relates to floating-point conversion and more particularly to a system and method for efficient and correct rounding for floating-point conversions.
2. Description of the Related Art
There are se... | 4 | [
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0.111328125... | 23,937 | 23937 | |
How is a constant voltage achieved with changing loads in a power transformer ?in terms of H.V...
• 1How is a constant voltage achieved with changing loads in a power transformer ?in terms of H.V...
How is a constant voltage achieved with changing loads in a power transformer ?in terms of H.V winding.
• 2vari... | 5 | [
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Integral Help
November 22nd 2012, 07:02 AM #3
Super Member
November 22nd 2012, 06:47 AM #2
November 22nd 2012, 06:33 AM #1
Junior Member
Re: Integral Help
Hello, nubshat!
Note that: . $\cos^3(x^2) - \cos(x^2) \;=\;\cos(x^2)\left[\cos^2(x^2) - 1\right] \;=\;\cos(x^2)\left[-\sin^2(x^2)\right]$ The integral ... | 5 | [
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Introduction and MotivationRelated WorkOverview of Wireless Radio Link ModelsConnectivity of Wireless Networks: State of the ArtNetwork Connectivity AnalysisNode Spatial DistributionDefinition 1Node Non-Isolation ProbabilityDefinition 2Link Probability AnalysisDefinition 3Definition 4Simulation Results and DiscussionTh... | 4 | [
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Physics Forums - Cyclic groups
- -
Cyclic groups
(
http://www.physicsforums.com/showthread.php?t=296091
)
Cyclic groups
1. The problem statement, all variables and given/known data
A. Let |g| = 20 in a group G. Compute
|g^2|, |g^8|,|g^5|, |g^3|
B. In each case find the subgroup H = <x,y> of G.
a) G = <a> is c... | 4 | [
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0.021... | 23,941 | 23941 | |
Adaptive Prediction of Channels with Sparse Features in OFDM Systems
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 649602, 5 pages
http://dx.doi.org/10.1155/2013/649602
Research Article
Adaptive Prediction of Channels with Sparse Features in OFDM Systems
School of Information and E... | 4 | [
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0.06... | 23,942 | 23942 | |
Gaussian Integers
May 19th 2009, 07:40 AM #1
Gaussian Integers
In this part, you may assume any facts about the factorisation theory of Z[i], the ring of Gaussian Integers, and of Z provided that you state clearly the properties that you are using.
Let p be an integer prime for which there is an element a in ... | 4 | [
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... | 23,943 | 23943 | |
Spherical Coordinates
To find the velocity vector, write the position vector as [itex] r(t) \hat r [/itex].
Then [itex]v(t)=\frac{d}{dt} \left[ r(t) \hat r \right] [/itex].
Use the product rule.
You'll have to compute [itex]\frac{d}{dt} \hat r [/itex],
where [tex]\hat r= \sin\theta\cos\phi \hat\imath + \sin\theta\sin\p... | 4 | [
0.0238037109375,
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-0.042236328125,
-0.0439453125... | 23,944 | 23944 | |
find constants D and E when given the derivative
April 4th 2009, 01:22 PM
williamb
find constants D and E when given the derivative
let g(x) = e^(-4x) * (Dsin3x + Ecos3x)
where D and E are constants. Find values D and E if
g'(x) = e^(-4x) * sin3x
Here's my work:
*must find the derivative and th... | 4 | [
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0.032958984375,
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0.028564453125,
-0.035888671875,
0.0133056640625,
... | 23,945 | 23945 | |
Continuity and continuous functions
October 3rd 2012, 01:53 PM
phenol
Continuity and continuous functions
Hi,
Would anyone be able to tell me how I'd go about obtaining this answer? Here's what I've done so far.
-2(x) + b => -2(2) + b => -4 + b (from the left side)
-24/x-b => -24/(2)-b (from the ri... | 4 | [
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0.12451171875,
-0.06591796875,... | 23,946 | 23946 | |
permutation problem
March 22nd 2009, 11:35 PM #1
Newbie
Joined
Mar 2009
Posts
4
permutation problem
I have seen the problem in this forum about 6 number 1,1,2,2,3,3 to be arranged in a line with no same adjacent numbers. The solution is 30. But what happens if there are 8 number
1,1,2,2,3,3,4,4? Are ... | 4 | [
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A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction
International Journal of Biomedical Imaging
Volume 2011 (2011), Article ID 870252, 10 pages
http://dx.doi.org/10.1155/2011/870252
Research Article
A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction
^1Department... | 4 | [
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-0.017700195312... | 23,948 | 23948 | |
Early stabilization in the homotopy groups of spheres
up vote 23 down vote favorite
7
Thanks to Freudenthal we know that $\pi_{n+k}(S^n)$ is independent of $n$ as soon as $n \ge k+2$. However, I was looking at the table on Wikipedia of some of the homotopy groups of spheres and
noticed that $\pi_2^S$ (the second stabl... | 4 | [
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-0.058837890625,
0.0415... | 23,949 | 23949 | |
Non-linear equations and sequences
August 4th 2006, 12:49 AM #1
Newbie
Joined
Jul 2006
Posts
5
Non-linear equations and sequences
These assignments seem to be getting harder as they go on.
Hopefully, these'll be the last for a while.
Thanks again...
Solve the system of equations using any ... | 4 | [
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0.010498046875,
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-0.0203857421875,
-0.04541015625,
0.016357421875,
0.044189453125,
0.0289306640625,
-0.11181640625,
-0.000785... | 23,950 | 23950 | |
Eigenvector, Eigenvalue and diagonalising help
March 18th 2009, 06:33 AM
Redeemer_Pie
Eigenvector, Eigenvalue and diagonalising help
Hi guys, i've got some issues at the moment regarding eigenvector and eigenvalue Your help will be greatly appreciated. Thanks =)
First the matrix c is given as:
3 1 0
... | 5 | [
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0.029052734375,
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0.01... | 23,951 | 23951 | |
High oreder differential equation
Simple equation, but I need step by step analytical way. Thank you
x''''[t] + r*x''[t] + v*x[t] = p[t]
Yes, but I know homogeneous solutions and way, but how to find non-homogeneous?
Quote:
It depends on the form of p(t).
If we assume
$p(t)=c_nx^n+c_{... | 5 | [
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0.018310546875,
-0.01513671875,
0.014892578125,
0.051513671875,
-0.0028076... | 23,952 | 23952 | |
Question on irreducible versus reducible feynman graphs
Consider the functional:
[tex](1) \mbox{ }e^{iW[J]} = \int d \hat{\phi} \mbox{ }e^{i\int d^4x \mbox{ } \mathcal L(\hat{\phi})+J\hat{\phi}} [/tex]
Define a Legendre transformation to get a functional in [tex]\phi(x) [/tex] instead of [tex] J(x)[/tex]:
[tex](2) \... | 4 | [
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0.07177734375,
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-0.002288818359375,
0.09619140... | 23,953 | 23953 | |
Patente US7852969 - System and method for dynamic calibration of a quadrature encoder
BACKGROUND
The invention relates generally to precision measurement instruments, and more particularly to a system and method for dynamic calibration of quadrature signals such as those used in a position
encoder.
Various position e... | 4 | [
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0.0240478515625,
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0.0341796875,
0.0107421875,
-0.10791015625,
-0.07275390625,
-0.028076171875,
0.151367... | 23,954 | 23954 | |
Tangent Planes + Linear Approximation
October 27th 2010, 07:08 PM #1
Newbie
Joined
Oct 2010
Posts
13
Tangent Planes + Linear Approximation
1. Find the points on the graph of $z = x^2e^y$ at which the tangent plane is parallel to $5x - 2y + \frac{1}2z = 0$
Can someone explain this to me/start this for... | 4 | [
0.00408935546875,
-0.03515625,
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0.0859375,
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0.1142578125,
0.0615234375,
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0.015625,
-0.034423828125,
0.035888671875,
-0.048828125,
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Wave - Particle Duality
We have seen that Compton effect is a direct evidence of the corpuscular nature of light. On the other hand the phenomena of interference, diffraction, and polarization reveal the wave nature of
light. Louis de Broglie proposed that this dual character of light may also be a characteristic of t... | 4 | [
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Strange behavior of correlation estimation
November 2, 2011
By arthur charpentier
The Gaussian vector is extremely interesting since it remains Gaussian when conditioning. More precisely, if
where the covariance matrix of the random vector was
i.e. it is the Schur complement of bloc
It is possible to derive expli... | 5 | [
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Magnetogasdynamic Shock Waves in a Rotating Gas with Exponentially Varying Density
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 168315, 11 pages
http://dx.doi.org/10.5402/2012/168315
Research Article
Magnetogasdynamic Shock Waves in a Rotating Gas with Exponentially Varying Density
^1Department of Mathem... | 4 | [
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Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 382592, 11 pages
http://dx.doi.org/10.1155/2013/382592
Research Article
Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations... | 5 | [
-0.134765625,
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0.0081787109375,
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IntroductionFast Orthogonal Search (FOS)Application of FOS to Inertial Sensor Accuracy EnhancementDesign of a FOS-Based Inertial Sensor Accuracy EnhancerFOS Accuracy Enhancement ParametersSimulationExperimental WorkResults and DiscussionTactical Grade IMUMEMS IMUConclusionsReferencesFigures and Tables
In numerous appli... | 4 | [
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0.094... | 23,960 | 23960 | |
Optimization of Power Allocation for a Multibeam Satellite Communication System with Interbeam Interference
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 469437, 8 pages
http://dx.doi.org/10.1155/2014/469437
Research Article
Optimization of Power Allocation for a Multibeam Satellite Communication Syst... | 4 | [
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... | 23,961 | 23961 | |
Coordinate system help
March 24th 2008, 05:23 AM #1
Question:
The tangents to the ellipse with equation $\frac{x^{2}}{a^2} + \frac{y^{2}}{b^2} = 1$ at the points $P(acost,bsint)$ and $Q(-asint,bcost)$ intersect at the point $R$. As $t$ varies, show that $R$
lies on the curve with equation $\frac{x^{2}}{a^... | 5 | [
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... | 23,962 | 23962 | |
Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 814692, 14 pages
http://dx.doi.org/10.1155/2013/814692
Research Article
Robust Synchronizatio... | 4 | [
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Partial differentiation problem
October 28th 2012, 04:38 AM #1
Newbie
Joined
Oct 2012
From
Norway
Posts
1
Partial differentiation problem
Hi! I'm new here and struggling with a problem.
I have to the function f(x,y)=1/2x^4+3y^2-6xy
I'm ought to find and classify stationary points.
... | 5 | [
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Error of a Taylor polynomial
wahaj
the error of a taylor series of order(I think that's the right word) n is given by
[tex] \frac{f^{n+1} (s)}{n!} (x-a)^n [/tex]
Actually, it should be
$$\frac{f^{n+1} (s)}{(n+1)!} (x-a)^{n+1}$$
I think this is right. The error in a linear approximation would simply be
[tex] \fra... | 5 | [
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0.0... | 23,965 | 23965 | |
minimising volume
December 10th 2008, 01:18 PM
Matho
minimising volume
A company wishes to manufacture a box with a volume of 32 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum
amount of material.
December 10th 2008, 01:53 P... | 5 | [
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... | 23,966 | 23966 | |
determine slope of tangent
September 1st 2010, 09:33 AM #1
determine slope of tangent
determine the slope of the tangent at x=0 for the function $f(x)=\frac{cos x}{1 - x}$
i got the derivative to be
$f'(x)=\frac{((-sinx)(1-x)-(cosx)(-1))}{(1-x)^2}$
$f'(x)=\frac{((-sinx)(1-x)+cosx))}{(1-x)^2}$
... | 4 | [
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Euler's totient function Proof
March 9th 2011, 12:17 AM #1
Member
Joined
Dec 2009
Posts
224
Euler's totient function Proof
Where $n$ is an integer and $d$ is a positive divisor of n and $\phi$ is the Euler Totient function, how do we prove that:
$\sum_{d|n} \phi(d) = n$ ?
I have absolutely no i... | 5 | [
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Just deleted my working
June 12th 2009, 05:52 AM #1
Just deleted my working
I accidentally just deleted some working and cannot get it back.
Can you help me with this please.
Factor fully: ( a² - b² - c² )² - 4b²c²
= (a²-b²-c²)² - (2bc)²
= (a² - b² - c² - 2bc)(a² - b² - c² + 2bc)
= (a² - (b... | 4 | [
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Initial Value Problems with Delta Functions
May 10th 2008, 08:20 PM
Chris L T521
Initial Value Problems with Delta Functions
I'm teaching myself Delta Functions and I'm stuck on this initial value problem. If you guys can help me out, I'd appreciate it! :D
Solve the initial value problem : $x^{//}+9x=\delta... | 5 | [
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Patent US7400323 - Process for creating a parametric surface having a required geometrical continuity
FIELD OF THE INVENTION
The invention relates to the field of computer-aided design, and more specifically to computer-aided creation of parametric surfaces.
BACKGROUND OF THE INVENTION
A number of systems and progra... | 4 | [
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0.... | 23,971 | 23971 | |
Probability Question
December 17th 2009, 02:52 AM #1
Banned
Joined
Dec 2009
Posts
24
Probability Question
An industrial engineer intends to use the mean of a random sample of size to estimate the average mechanical aptitude of workers. On basis of experience , the engineer assumes for such data ,
w... | 5 | [
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0.004028320... | 23,972 | 23972 | |
Patent US5510698 - Markov chain controlled random modulation of switching signals in power converters
BACKGROUND OF THE INVENTION
The invention relates to Markov chain control of random modulated switching signals in a power converter.
Switching power converters are the most widespread systems in the area of power co... | 4 | [
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Explicit solution. Properties of vector norms
I have an equation (constraint) which I wish to solve explicitly in terms of g
[d]
(or more precisely a scaling factor of the vector g
[d]
) but I am unsure how to manipulate the equation
σ
[i]
(G) = |u
[i]^H
g
[d]
|-1
Background: (please feel free to skips this... | 4 | [
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0.039794921875... | 23,974 | 23974 | |
Confidence Intervals
Confidence Intervals for a Mean
Point Estimations
Usually, we do not know the population mean and standard deviation. Our goal is to estimate these numbers. The standard way to accomplish this is to use the sample... | 5 | [
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0.0810... | 23,975 | 23975 | |
U James - r73rtf
Principal Investigator Matthew R James Project r73
Systems Engineering, Machine CM
Research School of Physical Sciences and Engineering
Co-Investigator Sonny Yuliar, Peter Dowell
Systems Engineering,
Research School of Physical Sciences and Engineering
H-infinity control
Our research activities ... | 4 | [
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... | 23,976 | 23976 | |
[Haskell-cafe] Before
Jonathan Cast jcast at ou.edu
Mon Jul 2 17:48:21 EDT 2007
On Monday 02 July 2007, Andrew Coppin wrote:
> What were monads like before they became a Haskell language construct?
>
> Is Haskell's idea of a "monad" actually anywhere close to the original
> mathematical formalism?
>
> Just being rand... | 4 | [
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0... | 23,977 | 23977 | |
What is zero content?
I know the definition, But I'm looking for an explanation.. anyone?
I have: for every epsilon>0 there is a finite collection of intervals I1...IL st: A) Z⊂U IL,and B) The sum of the lengths of the I l's is less than epsilon. But how can the sum of the intervals be
less than epsilon, does it just ... | 4 | [
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... | 23,978 | 23978 | |
A Bijection for Tricellular Maps
ISRN Discrete Mathematics
Volume 2013 (2013), Article ID 712431, 12 pages
http://dx.doi.org/10.1155/2013/712431
Research Article
A Bijection for Tricellular Maps
Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
Rece... | 4 | [
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Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formalism
Advances in Mathematical Physics
Volume 2010 (2010), Article ID 501521, 11 pages
http://dx.doi.org/10.1155/2010/501521
Research Article
Partial Bell-State Analysis with Parametric down Conversion in the Wigner Function Formal... | 4 | [
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0.0081787109375,
-0.02990722... | 23,980 | 23980 | |
Patent US6795392 - Clustered OFDM with channel estimation
BACKGROUND OF THE INVENTION
This invention relates to channel estimation, and more particularly for channel estimation in clustered OFDM receivers.
Orthogonal frequency division multiplexing (OFDM) has been shown to be an effective technique for combating mult... | 4 | [
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0.06884765625,
-0.0... | 23,981 | 23981 | |
Solving Trigonometric Equations
April 18th 2010, 02:36 PM
bhuang
Solving Trigonometric Equations
Given that sinx = 1/2, cos x = (rt.3)/2 and 0 degrees less than or equal x less than or equal 360 degrees,
a) Find the values of x
b) write down the exact value of tan x.
My solution is...
a) x = 30,... | 4 | [
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... | 23,982 | 23982 | |
Proposition 5
Pyramids of the same height with triangular bases are to one another as their bases.
Let there be pyramids of the same height with triangular bases ABC and DEF and vertices G and H.
I say that the base ABC is to the base DEF as the pyramid ABCG is to the pyramid DEFH.
For, if the pyramid ABCG is not t... | 4 | [
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Help on differentiation
February 10th 2008, 04:02 AM #1
Newbie
Joined
Feb 2008
Posts
16
Help on differentiation
Hello to everyone, I have just signed up and hope that I can grow welcome on these forums.
I have a calculus assignment due in this week, and needed some help on a few questions, any help ... | 5 | [
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triangles
January 2nd 2007, 02:50 PM #1
Junior Member
Joined
Jan 2007
Posts
26
triangles
the measure of the base of an isosceles triangle is radical 2. the medians to the congruent sidesof the triangle meet at the right angles. find the area of the triangle
Look at diagram below.
The two medians... | 4 | [
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Patent US3278728 - Gas weight flow computer
Oct. 11, 1966 s. P. RAGSDALE GAS WEIGHT FLOW COMPUTER 7 Sheets-Sheet 1 Filed Nov. 6, 1962 -mfldllllll Oct. 11, 1966 s. P. RAGSDALE 3,278,728
GAS WEIGHT FLOW COMPUTER Filed NOV. 6, 1962 '7 Sheets-Sheet 2 S. P. RAGSDALE GAS WEIGHT FLOW COMPUTER oct. 11, 1966 Filed Nov. e, 1962... | 4 | [
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differential calculus
February 16th 2008, 03:16 AM #1
fiordalisa
Guest
differential calculus
Hi everyone!
I know this is probably a pretty easy question but I'm having a mental block at the minute...
Anyway the question is: "Show that the curves C1 and C2 intersect at the points (-2,16) and (1,7)"
C1 ... | 4 | [
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COMPASS trigonometry question
July 31st 2008, 06:38 AM #1
Newbie
Joined
Jul 2008
Posts
6
COMPASS trigonometry question
Hi, I'm taking the a Math placement test this Saturday so I've been practicing for that, but here's another problem I just can't figure out:
if sinθ= 5/13 and tanθ < 0
then secθ... | 4 | [
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er
Approximation Theory / Théorie d'approximation
Org: Richard Fournier and/et Paul Gauthier (Montreal)
Let K be a regular (in the sense of pluripotential th... | 4 | [
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Minimization - need help understanding
November 5th 2008, 11:39 AM #1
Member
Joined
Oct 2008
Posts
76
Minimization - need help understanding
Yet another test prep question. I have the solution but I, sadly, do not really understand what is going on. It may be due to confusion over notation, I don't know.... | 5 | [
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Ugh....need Big Help!
July 27th 2005, 10:18 PM #1
Beth101
Guest
Ugh....need Big Help!
Hi,
I need help with a word problem: One pipe can fill a hot tub in 9 minutes, while a second pipe can fill it in 15 minutes. If the tub is empty, how long will it take both pipes together to fill
the hot tub?
I ha... | 5 | [
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Complex roots - Equation
September 24th 2009, 01:10 PM #1
Complex roots - Equation
Show that the real part of any solution of $(z + 100)^{100} = (z - 1)^{100}$ must be 0.
Now in the book they solve it by starting: $(z + 100)^{100} = (z - 1)^{100} \Rightarrow (z +1) = (z - 1)e^{\frac{2\pi ki}{100}}$.
I u... | 4 | [
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Integrating non-constant acceleration to give time
1. The problem statement, all variables and given/known data
Not specifically a homework assignment, but for a personal project - but it's almost entirely parallel with my Physics course at the moment, and is mostly a homework-style question!
I have an object acclerat... | 4 | [
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Double-angle Formulae
November 7th 2012, 11:13 AM #1
Member
Joined
Jul 2011
Posts
140
Double-angle Formulae
Having a bit of trouble with this one. Can anyone help me out?
Many thanks.
Q. In the triangle pqr (see attachment), $|\angle qrp|=90^{\circ}$ & |rp| = h. s is a point on [qr] such that $... | 4 | [
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[SOLVED] separable equation
March 26th 2010, 05:10 PM #1
Member
Joined
Nov 2009
Posts
151
[SOLVED] separable equation
hey there.. i'm stuck in the calculation below..
dy/dx = ye^x y(0) = 2e
∫1/y dy = ∫e^x dx
ln y + C = (e^x) + C
how to proceed so that my answer is y = 2e^(e^x)
Sinc... | 5 | [
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is my solution correct?
February 5th 2010, 08:56 PM #1
Newbie
Joined
Jan 2010
Posts
6
Hi, i attempted this question, but not sure whether it is correct or not..
using separation of variables:
X''(x)=S X(x) , Y''(y)=-S Y(y), where S is separation constant
becos X'(0)=0, X'(1)=0, so using the... | 5 | [
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Tricky (for me anyway) Differentiation.
February 8th 2009, 01:33 AM #1
Junior Member
Joined
Jan 2009
Posts
57
Tricky (for me anyway) Differentiation.
Hi
I am trying to differentiate.
Many attempts at trying, and I cannot get to the answer. I am doing something wrong. Just having the answer is no... | 5 | [
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Math Help
$5cos^2{\theta}+18cos{\theta}sin{\theta}+29sin^2{\t heta}$ Simplify this into $a+bcos(2{\theta}+{\alpha})$ a,b are constant and $\alpha$ is completely different from $\theta$
Last edited by srirahulan; October 22nd 2013 at 07:46 AM.
I write that like this $2cos^2{\theta}-1+1+3cos^2{\theta}+9sin2{\theta}+29... | 4 | [
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Covariance
August 1st 2011, 10:51 AM #1
Newbie
Joined
Jul 2011
Posts
16
Covariance
The discrete variables A and B can each take any of the integer values {0,1,2,3}, and their joint
probability function is tabulated below.
B 0 1 2 3
A 0 |0.00 0.10 0.12 0.03
1 |0.15 0.20 0.08 0.02
2 |0... | 4 | [
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