content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Convergent sequences
July 16th 2009, 08:47 AM #1
Member
Joined
May 2009
Posts
86
Convergent sequences
1) Can you find a sequnce of real nos. {sn} which has no convergent subsequence and yet for which {|sn|} converges.
I am not able to think of such a sequence.
2) If a subsequence of {sn} of ter... | 5 | [
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0.01953125,
0.004180908203125,
0.018432617187... | 22,700 | 22700 | |
Fab Four: When John and George Play Gravitation and Cosmology
Advances in Astronomy
Volume 2012 (2012), Article ID 430694, 14 pages
http://dx.doi.org/10.1155/2012/430694
Research Article
Fab Four: When John and George Play Gravitation and Cosmology
^1Namur Center for Complex Systems (naXys), University of Namur, 500... | 4 | [
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-0.03662109375,
-0.060302734375,... | 22,701 | 22701 | |
Please Help!!
July 3rd 2006, 04:34 AM #1
Newbie
Joined
Dec 2005
Posts
7
Please Help!!
Hey guys please help me solve these four questions.
Question 1:
On 2 May 2000, a man borrowed a sum of money from a bank at 6.5% p.a. simple interest and on 2 September 2000, the interest amounted to $137.50. C... | 4 | [
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0.0322265625,
-0.03063964843... | 22,702 | 22702 | |
MathGroup Archive: May 2012 [00101]
[Date Index] [Thread Index] [Author Index]
Re: New to Mathematica
• To: mathgroup at smc.vnet.net
• Subject: [mg126413] Re: New to Mathematica
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: ... | 5 | [
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0... | 22,703 | 22703 | |
revenue function
October 17th 2009, 05:34 PM #1
Junior Member
Joined
Sep 2009
Posts
66
revenue function
The rate of change of q with respect to time (in days) is dq/dt= 60 . The rate of change of revenue over time, dR/dt, is to be found when q= 480 . Differentiate both sides of the equation R= 120
q-... | 5 | [
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0.00610... | 22,704 | 22704 | |
Finding the General Term of a Sequence
mShin
High school algebra? I didn't learn it there. I asked so that I could place the question into the correct forum category.
By high school algebra I meant elementary algebra as opposed to linear. Polynomials typically aren't covered in depth that much unless it's for math ... | 4 | [
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... | 22,705 | 22705 | |
dense subset of C*-algbra
August 23rd 2010, 12:38 AM
Mauritzvdworm
dense subset of C*-algbra
Show that the span of elements of the form $a^*b$ where both $a,b\in A$ which is a C*-albegra is dense in $A$
(I'm missing something simple...)
August 23rd 2010, 08:33 AM
Opalg
If the algebra is unital, with ... | 5 | [
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... | 22,706 | 22706 | |
Orbital simulation - Calculate object position over time in a 2d plane
Hi
Im busy creating an application to simulation a rocket in orbit. Im having trouble as the results im getting are incorrect. Could someone please check if im using the correct method as stated below.
Everything works on a 2d plane, and has a x a... | 4 | [
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PID Controllers
Before discussing the design of digital control algorithms, let us consider discrete equivalents of analog controllers.
┌───────────────────────────────────────────────────────────────────────────────────────────────┐
... | 4 | [
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Patent US5812690 - Set up procedure to enable accurate centroiding in photon counting detectors
FIELD OF THE INVENTION
This invention relates to a centroiding method for use with photon counting detectors.
BACKGROUND OF THE INVENTION
Over the past few years a number of photon counting detectors that employ charge-co... | 4 | [
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0.015... | 22,709 | 22709 | |
Patent US4625197 - Logarithmic analog to digital converter
This invention relates in general to analog to digital (A/D) converters and more particularly, to a method and apparatus for providing a digital output signal equal to the logarithm of the ratio of
an unknown analog input voltage to a fixed reference voltage.
... | 4 | [
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-... | 22,710 | 22710 | |
Series Comparison test
September 11th 2009, 09:06 PM #1
Junior Member
Joined
Jan 2008
Posts
35
Series Comparison test
Hi, just wondering what can i compare: $\sum {\frac{1} {(ln (k))^9}}$ with to show it diverges?
Also, for $\sum { \frac{1} {k^{1 + \frac{1} {k}}} }$, how would i apprach this to test... | 5 | [
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0.0115... | 22,711 | 22711 | |
MathGroup Archive: October 2011 [00454]
[Date Index] [Thread Index] [Author Index]
A Problem seemingly with NIntegrate
• To: mathgroup at smc.vnet.net
• Subject: [mg122231] A Problem seemingly with NIntegrate
• From: choco munch <choc... | 4 | [
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Find the exact values.
June 13th 2013, 08:28 AM
FatimaA
Find the exact values.
Let sin x = -3/5, where 3π/2≤ x ≤ 2π , and cos y = -5/13, where π ≤ x ≤ 3π/2. Find the exact value of
a) cos2x
b) cos(y/2)
c) cos(x + y)
d) sin (x - y)
My work:
a) cos2x = 1 - 2sin^2x
for sin x = ... | 4 | [
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Heat Transfer in MHD Dusty Boundary Layer Flow over an Inclined Stretching Sheet with Non-Uniform Heat Source/Sink
Advances in Mathematical Physics
Volume 2012 (2012), Article ID 657805, 13 pages
http://dx.doi.org/10.1155/2012/657805
Research Article
Heat Transfer in MHD Dusty Boundary Layer Flow over an Inclined S... | 4 | [
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-... | 22,714 | 22714 | |
Growth of Meromorphic Solutions of Some
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 943209, 6 pages
http://dx.doi.org/10.1155/2013/943209
Research Article
Growth of Meromorphic Solutions of Some -Difference Equations
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 4550... | 5 | [
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Multistability in a Multidirectional Associative Memory Neural Network with Delays
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 592056, 10 pages
http://dx.doi.org/10.1155/2013/592056
Research Article
Multistability in a Multidirectional Associative Memory Neural Network with Delays
^1College of Orie... | 5 | [
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Meeting point between two vehicles
September 2nd 2011, 02:56 AM #1
Newbie
Joined
Sep 2011
Posts
2
Meeting point between two vehicles
Driver A starts his car and accelerates with a constant accelerasion of 0.8 m/s^2.
Driver B starts and follows on a motorcycle from the same spot, 6,0 sec later.
Dr... | 4 | [
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Fibonacci series and Dynamic programming
__This article has been co-authored by Aakriti__
One of the most beautiful occurrences of mathematics in nature are Fibonacci numbers[1]. Named after Leonardo Fibonacci, this series dates back to ancient history with origins in Indian mathematics
[2].
The beauty of the series ... | 5 | [
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Grade 10 math, radicals (?)
April 20th 2009, 02:13 PM #1
Newbie
Joined
Apr 2009
Posts
5
Grade 10 math, radicals (?)
Hello ive worked these out in my notebook but havbe no way to check if they are correct or not here they are
a) ( √2 - √8)² = 2
b) ( -1/3√3 - 1 )²
c) ( √3 + √12 ) ²
I know... | 4 | [
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Extension of LIR Equation of State to Alkylamines Using Group Contribution Method
ISRN Physical Chemistry
Volume 2013 (2013), Article ID 804576, 9 pages
http://dx.doi.org/10.1155/2013/804576
Research Article
Extension of LIR Equation of State to Alkylamines Using Group Contribution Method
School of Chemistry, Shahro... | 4 | [
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Eighth Order Linear Equation Solver for the hp 33s
The Museum of HP Calculators
HP Articles Forum
[Return to the Index ]
... | 4 | [
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method of variation of parameters to find particular solution of this simple diff eqn
October 12th 2010, 11:12 PM #1
Junior Member
Joined
Feb 2009
Posts
40
method of variation of parameters to find particular solution of this simple diff eqn
hi guys,
haven't done diff eqn stuff in a long time. i am ... | 5 | [
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inverse limit
well, i thought i'd get an answer to my question from Kaka! it's fairly easy to prove that if $R$ is a noetherian ring and $I=(a_1, \cdots, a_r)$ an ideal of $R,$ then $\varprojlim \frac{R}{I^k} \
cong \frac{R[[y_1, \cdots , y_r ]]}{(y_1-a_1, \cdots , y_r - a_r)}.$ now if you apply this fact to $R=\mathbb... | 4 | [
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Does an object stop when reversing direction?
cvbrewer
When you toss a ball up, it has negative upward acceleration, then it has positive downward acceleration.
Does it “stop” to change direction, or does it go directly from moving up to down without ever pausing? It seemed to me as if it would have to stop rising ... | 5 | [
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Triangle.doc In the figure above, three squares and a
Author Message
TAGS:
Triangle.doc In the figure above, three squares and a [#permalink] 16 Jan 2008, 04:17
... | 4 | [
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... | 22,725 | 22725 | |
simultaneous equation word problems
February 17th 2010, 04:47 PM #1
Member
Joined
Jan 2009
From
Ontario Canada
Posts
219
simultaneous equation word problems
Hello Haveing problems with understanding word problems.
A person has incurred 3 debts which total $ 308
The first debt plus 9 times the... | 4 | [
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-0.060791015625... | 22,726 | 22726 | |
winch raising a load
September 5th 2011, 01:28 AM
furor celtica
winch raising a load
A winch is used to raise a 200 kg load. The maximum power of the winch is 5 kW. Calculate the greatest possible acceleration of the load when its speed is 2 ms^1, and the greatest speed at which
the load can be raised.
... | 4 | [
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0.01806640625,
0... | 22,727 | 22727 | |
integral expression for bessel functions...
March 17th 2009, 12:58 PM #1
Newbie
Joined
Oct 2008
Posts
16
integral expression for bessel functions...
Can someone give me a hand with this problem? I cant figure out how to integrate things once I have y y' and y'' plugged into the bessel function.
prob... | 5 | [
-0.045654296875,
0.022705078125,
0.047607421875,
-0.052734375,
0.07568359375,
0.0223388671875,
-0.02001953125,
-0.0079345703125,
-0.007537841796875,
0.0286865234375,
0.0341796875,
0.0419921875,
-0.052734375,
0.048583984375,
0.035400390625,
0.0732421875,
-0.058349609375,
0.020263671... | 22,728 | 22728 | |
A rather hard probability question.
September 24th 2007, 11:07 PM #1
Newbie
Joined
Sep 2007
Posts
3
A rather hard probability question.
Hi there.
The question is:
A bag contains eight counters. Five of the counters are green, three are red. A counter is taken at random from the bag and its col... | 4 | [
-0.006072998046875,
-0.0299072265625,
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0.0126953125,
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0.12109375,
0.0079345703125,
0.0625,
0.0206298828125,
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0.033447265625,
0.025390625,
0.033447265625,
0.05029296875,
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-0.0424804... | 22,729 | 22729 | |
Deductive Reasoning
A mathematical theorem is a statement that can be proved using deductive reasoning. This theorem is stated within a mathematical model that has
undefined terms
definitions
postulates (assumptions based on these terms and definitions but is unproved)
Examp... | 4 | [
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0... | 22,730 | 22730 | |
surjectivity of operators on l^infty
up vote 20 down vote favorite
6
Can anyone give me an example of an bounded and linear operator $T:\ell^\infty\to \ell^\infty$ (the space of bounded sequences with the usual sup-norm), such that T has dense range, but is not
surjective?
fa.functional-analysis banach-spaces
10 ... | 5 | [
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-0.... | 22,731 | 22731 | |
Patent US6675286 - Multimedia instruction set for wide data paths
BACKGROUND OF THE INVENTION
This invention relates to microprocessor instruction sets, and more particularly to a multimedia instruction set for handing multiple data operands on a mediaprocessor.
A microprocessor executes programmed instructions to pe... | 4 | [
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... | 22,732 | 22732 | |
IntroductionMathematical FormulationLoad ModelingBilevel Optimization ModelEquivalent Single Level ProblemSolution of the Bilevel ModelLinearizing the Complementarity ConstraintsLinearizing the Objective FunctionThe Final MILPCase Study10-Unit SystemGuangdong Power Grid of ChinaConclusionsConflicts of InterestReference... | 4 | [
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0.044189453125,
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0.00946044921875,
-0.023681640625,
-0.00787353... | 22,733 | 22733 | |
Nuc. Eng. problem
Herein lies the problem and perhaps some confusion,
Since we know that n(a) = a - n(ion), where a = source strength, we get n(a) = (1.0x10-6 Ci - 3.7x1010 dis./sec.) = -3.7x1010 dis./sec.
This not correct. 1 Ci = 3.7 x 10
^10
dps (dps = 1 disintegration per s) .
The production rate of alphas R
[... | 5 | [
0.0208740234375,
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-0.01519775390625,
-0.00616455078125,
0.... | 22,734 | 22734 | |
[SOLVED] Tricky Fraction Problem
February 12th 2009, 11:52 AM #1
Newbie
Joined
Feb 2009
Posts
5
[SOLVED] Tricky Fraction Problem
Question:
The numerator of a fraction is two less than the denominator. The sum of the fraction and its reciprocal is 25/12. Find the numerator and denominator is a positiv... | 4 | [
-0.0264892578125,
0.040771484375,
0.056884765625,
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0.0050048828125,
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-0.00726318359375,
-0.00122833251953125,
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-0.0206298828125,
-0.06396484375,
-0.03955078125,
0.04541015625,
0.037841796875,
0.0654296875,
-0.00005364... | 22,735 | 22735 | |
Page Design
November 4th 2008, 06:30 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Page Design
A page with dimensions of (17/2) inches by 11 inches has a border of uniform width x surrounding the printed matter of the page.
(a) Write a formula for the area A of the printed part of t... | 4 | [
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0.1171875,
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0.044189453125,
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0.041015625,
-0.07373046875,
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0.0086669921875,
0.02294921875,
-0.01458740234375,
-0.035888671875,
0.00408935546875,
0.0341796875,... | 22,736 | 22736 | |
Another question on sequences
October 9th 2006, 10:29 AM
Fares23
Another question on sequences
I had another question:
Let x1 be greater than or equal to 2. Define inductively x(n+1) as 1+square root(xn-1) for all n. Prove that (xn) is a decreasing sequence bounded below by 2. Find the limit.
Thank you... | 5 | [
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-0.02453613281... | 22,737 | 22737 | |
Square and Multiply
December 11th 2010, 04:32 PM #1
Newbie
Joined
Dec 2010
Posts
7
Square and Multiply
I was wondering if somebody could help me with a problem I am having. I am trying to compute:
9983^2052765 mod 36581 and 13461^2052765 mod 36581
I am pretty sure it can be accomplished with th... | 5 | [
0.037109375,
0.06640625,
-0.00933837890625,
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0.048583984375,
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... | 22,738 | 22738 | |
relative maximum,Newton’s Method,Integrate.......
Question # 1 The derivative of the continuous function is given. Find all critical points and determines whether a relative maximum, relative minimum or neither occurs there $f'(x)=2\,\sin^3(x) - \
sin^2(x),\ \ \ 0<x<2\,\pi$ The critical points are solutions of: $f'(x)=... | 5 | [
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Logarithmic simultaneous equations
November 28th 2010, 03:13 PM
Hellbent
Logarithmic simultaneous equations
Hi,
I'm unsure of how to approach this.
Solve the simultaneous equations:
$\log x + 2 \log y = 3$
$&x^2y = 125$
November 28th 2010, 03:18 PM
pickslides
$y = \frac{125}{x^2}$
... | 4 | [
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-0.0047... | 22,740 | 22740 | |
Patent US7231216 - Mobile positioning using intergrated ad-hoc network
BACKGROUND OF THE INVENTION
The Federal Communications Commission (FCC) in United States requires all network providers to be able to determine all the mobile users locations to within an accuracy of 100 meters in 67% of call
measurements for netwo... | 4 | [
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0.0927734375,
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0.08935546875,
-0.003936767578125... | 22,741 | 22741 | |
GENERAL PHYSICS II EXAM 1 NAME______________________________
GENERAL PHYSICS I SAMPLE EXAM CH's 10,11
USEFUL CONSTANTS for WATER: c = 4186 J/kg A^oC = 1.00 cal/gm A ^oC ,
[ Lf] = 3.33x10^5 J/kg = 79.7 cal/gm
L[v] = 2.26x10^6 J/kg = 540 cal/gm
ICE: c = 2090 J/kg A ^oC = 0.500 cal/gm A ^oC
STEAM: c = 2010 J/kg A^oC = 0.... | 4 | [
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0.0283203125,
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-0.025634765625,
-0.0771484375... | 22,742 | 22742 | |
Euler's theorem proof help
May 6th 2011, 05:44 AM #1
Junior Member
Joined
Sep 2010
Posts
47
Euler's theorem proof help
Hey, I am having a difficult time trying to prove a few statements relating to Euler's Theorem.
1. Prove for any n: If $x,y$ are in $\Phi_n$ , then $xy \ mod \ n$ is also in $\Phi_n... | 5 | [
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0.12060546875,
0.0732421875,
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0.0189208984375,
-0.053955078125... | 22,743 | 22743 | |
Physics Forums - Hilbert, Inner Product
bugatti79 Mar30-12 01:32 PM
Hilbert, Inner Product
I have just realized that I accidently put it in wrong sub forum. This should be in 'calculus and beyond'.
1. The problem statement, all variables and given/known data
Prove the function <x,y>=x_1y_1+x_2y_2+x_3y_3 defines ... | 4 | [
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0.052734375,
-0.04736328125,
-0.0437011718... | 22,744 | 22744 | |
Prove that p divides infinitely many numbers...
February 28th 2010, 11:11 AM #1
Junior Member
Joined
Feb 2010
Posts
34
Prove that p divides infinitely many numbers...
Let p>5 be a prime. Prove that p divides infinitely many numbers of the (base ten) form:
1, 11, 111, 1111, 11111, 111111, ...
Le... | 5 | [
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Patent US4243360 - Cantilevered structures
This invention relates to cantilevered structures and in particular to structures where a gap is spanned by two cantilevers, one each side of the gap and meeting at their free ends.
BACKGROUND OF THE INVENTION
It is well known to span a gap be providing a cantilever on each ... | 4 | [
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0.0... | 22,746 | 22746 | |
HELP! Changing bounds of trigonometric integrals to avoid them to be = 0?
January 3rd 2013, 02:17 AM
Neverthelessified
HELP! Changing bounds of trigonometric integrals to avoid them to be = 0?
Hi all,
this is something I should know by now but I always get messed up.
Sometimes, in trigonometric integrals... | 5 | [
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0.0078125,
-0.0166015625,
-0.0859375,
0.056884765625,
-0.000136375427246... | 22,747 | 22747 | |
olution
2.2 Optimum First Order Solution
2.2.1 Basic Assumptions
As noted earlier, equation (2.1-1) is indeterminate when the input variable is specified only by a sequence of discrete values, unless some assumption is made as to the behavior of the input variable
between the discrete values. When only two discr... | 4 | [
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-0.0037384033203125,
-0.0086669921875,
0.055419921875,
0.0281982421875,
-... | 22,748 | 22748 | |
Estimate Probability and Quantile
January 25, 2011
By ygc
Simple root finding and one dimensional integrals algorithms were implemented in previous posts.
These algorithms can be used to estimate the cumulative probabilities and quantiles.
Here, take normal distribution as an example.
Normal distribution is defin... | 5 | [
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0.0002689361572265625,
0.0123291015625,
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0.0225830078125,
-0.01068115234375,
-0.0126953125,
-0.018798828125,
-0.003402709960937... | 22,749 | 22749 | |
Determinants
September 14th 2008, 06:58 PM #1
Newbie
Joined
Aug 2008
Posts
21
Determinants
Hi, Thanks for the help before.
Can you help me with this new problem.
Define the following determinants of the matrices whose elements come from the ring F[x]:
δ1=1
δ2= | 0 -1|
|-1 x|
δ3= |... | 5 | [
-0.004180908203125,
-0.00188446044921875,
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0.01507568359375,
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0.0791015625,
-0.023193359375,
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0.1015625,
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0.01324462890625,
0.0107421875,
-0.052978515625,
-0.042236328125,
-0.021484375,
... | 22,750 | 22750 | |
metric space
let $(X,d)$ be a metric space and $Aeq \phi$ a subset of X then $x \in \overline{A}$$iff$ $d(x,A)=0$
$(\Rightarrow )$ Suppose $x \in \overline{A}$ but $d(x,A)=\delta >0$. Then consider $B(x,\frac{\delta}{2})$this is an open neighborhood containing x, but does not intersect A, thus $x ot \in \
overline{A}$... | 5 | [
0.06591796875,
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0.091796875,
-0.05078125,
0.0179443359375,
-0.060302734375,
-... | 22,751 | 22751 | |
Patent US4075703 - Recursive filter mean-level detector
BACKGROUND OF THE INVENTION
The present invention relates to the field of adaptive or mean level detection of targets in nonstationary clutter. Among these techniques are those which use a detection threshold that is determined
from estimates of the mean level of... | 4 | [
-0.0281982421875,
-0.045166015625,
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-0.06201171875,
-0.00811767578125,
0.019775390625,
... | 22,752 | 22752 | |
Question about ordered field...PLEASE HELP!!!
September 9th 2009, 06:25 PM
tigergirl
Question about ordered field...PLEASE HELP!!!
Assume { F, +,*,, <} is an ordered field. If a<b in F and c=(a+b)/2, prove
a) a<c<b
b) b - c = c - a = (b-a)/2. Thus the distance from c to either a or b is 1/2 the distance ... | 5 | [
-0.01007080078125,
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-0.05078125,
-0.0281982421875,
0.040771484375,
0.03759765625,
-0.0942... | 22,753 | 22753 | |
Getting stuck on a simple inverse Laplace transform. How do I massage this fraction?
April 11th 2012, 12:44 PM #1
Member
Joined
Aug 2010
Posts
138
Getting stuck on a simple inverse Laplace transform. How do I massage this fraction?
I'm having some difficulty with what should be a simple (one sided) inve... | 5 | [
-0.08935546875,
0.0654296875,
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0.018798828125,
0.0239257... | 22,754 | 22754 | |
Patent US7957964 - Apparatus and methods for noise suppression in sound signals
TECHNICAL FIELD
The present invention relates to a noise suppression apparatus, a noise suppression method, a noise suppression program, and a computer-readable recording medium to suppress noise in a sound signal
on which noise is superim... | 4 | [
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0.01806640625,
0.049560546875,
0.09375,
0.02... | 22,755 | 22755 | |
Find value so that initial value problem is bounded
October 30th 2012, 05:18 PM #1
Junior Member
Joined
Apr 2012
From
Texas
Posts
25
Find value so that initial value problem is bounded
Find the value(s) of A such that the solution of the initial-value problem
y'' - 4y = sinx ; y(0)=A, y'(0)=0 is ... | 5 | [
-0.076171875,
-0.00531005859375,
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A lambda calculus for quantum computation
Scheme simulator
This page provides a simulator for a functional language based on Scheme for expressing and simulating quantum algorithms. Example code implementing some simple quantum algorithms is provided. For
the theory, see my papers
which develop a linear lambda calc... | 5 | [
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Domain
September 7th 2009, 04:45 AM #1
Member
Joined
Sep 2007
Posts
81
Domain f o g
Hi all,
First things first, what I've seen as the answer for these is described as follows.
$<br /> Dom (f o g) = {x : x \in Domg-and-g(x) \in Dom f}<br />$
I'm not sure what is meant by the second section... | 4 | [
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0.00885009765625,
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Multiple-Observation-Based Robust Channel and Doppler Estimation in High Mobility Applications
International Journal of Vehicular Technology
Volume 2013 (2013), Article ID 472154, 8 pages
http://dx.doi.org/10.1155/2013/472154
Research Article
Multiple-Observation-Based Robust Channel and Doppler Estimation in High Mo... | 4 | [
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Algebra II
Find the number a such that x-1 is a factor of x^3+ax^2-x+8
Also, you could use Vieta's theorem. When you have: $P(x)=x^3+px+qx+r$, you know that: $x_1+x_2+x_3=-p$ $x_1x_2+x_1x_3+x_2x_3=q$ $x_1x_2x_3=-r$ ... where $x_1,x_2,x_3$ are roots of $P(x)$. So when
you have $P(x)=x^3+ax^2-x+8$ and you know that 1 is... | 4 | [
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Mapping an interval to R - Proving that its a group.
December 1st 2013, 07:03 AM #1
Junior Member
Joined
Nov 2013
From
Germany
Posts
40
Thanks
1
Mapping an interval to R - Proving that its a group.
M := {f:[0,1] --> ℝ} ~+: M x M --> M
∀x∈[0,1]: (f~+g)(x) = f(x)+g(x)
I need to show that ... | 4 | [
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0.0... | 22,761 | 22761 | |
Find the volume of the region bounded by x^2+(y-1)^2 = 1 rotated about the x-axis.
sushifan
V = 4∏ ∫ y sqrt[1-(y-1)^2] dy on [0,2]
Substitution: u = y - 1 → du = dy
V = 4∏ ∫ (u+1) sqrt(1-u^2) du on [-1,1]
V = 4∏ ∫u sqrt(1-u^2) du + 4∏ ∫ sqrt(1-u^2) du on [-1,1]
The left integral:
Substitution: t = 1-u^2 → dt = ... | 5 | [
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Calculating Angle From Two Points in 3d Space
April 3rd 2008, 10:55 PM #1
Newbie
Joined
Apr 2008
Posts
2
Calculating Angle From Two Points in 3d Space
Hi Gurus,
I am working in a 3d Application where i need to rotate a 3d Object as per Axis Selected (x,y,z). i have two point say (12,0,45) and (12,4,... | 4 | [
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help with a derivative involving arctan
November 29th 2009, 02:35 PM #1
Member
Joined
Sep 2009
Posts
105
help with a derivative involving arctan
find derivative of
f(x)=(sq.rt.)[x] - arctan(sq.rt.)[x]
my book says ((sq.rt.)(x))/(2(1+x)
however, online i found it to be (1/(2(sq.rt.)[x])) - (1... | 5 | [
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Evaluating Improper integral
December 14th 2008, 03:40 PM #1
Newbie
Joined
Dec 2008
Posts
3
Evaluating Improper integral
1. The calculation of the probability of excitation of an atom originally in the
ground state to an excited state, involves the contour integral
INTEGRAL(-INF TO +INF) [s exp(i... | 5 | [
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Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 583809, 11 pages
http://dx.doi.org/10.1155/2013/583809
Research Article
Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries
^... | 5 | [
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terms and others
May 15th 2006, 02:57 PM #1
Newbie
Joined
Mar 2006
Posts
8
terms and others
(2x^2 - 3/x)^18
how can I find the 16th term and follow up by finding the term that is independent of x?
Last edited by Stuart; May 15th 2006 at 03:02 PM.
Stuart
(2x^2 - 3/x)^18
how can I f... | 4 | [
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Frictionless Environment
It's really not so hard. Newton's three laws are all very similar. I think I can figure out what to do if you use the laws in the form:
1) dp/dt=0 if Fnet=0
2) F=dp/dt
3) dp1/dt=-dp2/dt or dP/dt=constant
I would carry two weights of equal mass. I will throw them either before me or behind me t... | 4 | [
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rolle's theorem
November 10th 2011, 05:47 PM #1
Member
Joined
Sep 2011
Posts
106
Thanks
1
rolle's theorem
rolle's theorem
f must be continuous on a closed interval [a,b]
differential on (a,b) with f(a)=f(b)
Then, there is atleast one point C in (a,b) such that f'(c)=0
I am suppose to... | 4 | [
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he
Statistics and Probability
EFFICIENCY
An unbiased estimator is defined to be efficient if the variance of its sampling distribution is smaller than that of the sampling distribution of any other unbiased estimator of the same parameter.
In other words, suppose that there are two unbiased estimators T1 and T2 of t... | 5 | [
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search results
Expand all Collapse all Results 1 - 25 of 25
1. CMB 2014 (vol 57 pp. 264)
On Semisimple Hopf Algebras of Dimension $pq^n$
Let $p,q$ be prime numbers with $p^2\lt q$, $n\in \mathbb{N}$, and $H$ a semisimple Hopf algebra of dimension $pq^n$ over an algebraically closed field of characteristic $0... | 4 | [
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... | 22,771 | 22771 | |
"Star Problems" Volume as a function of height
May 17th 2010, 12:57 PM #1
Newbie
Joined
May 2010
Posts
3
Hello Everyone,
I need help on problems like this one:
A water tank is the shape of an inverted cone which has a height of 120 meters and a diameter at the top of 60 meters. Water starts flow... | 4 | [
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0.02246... | 22,772 | 22772 | |
Solving Trigonometric Equations
Solve this trigonometric equation $0^o {\leq} x {\leq} 360^o$ $cos^2x+7sinxcosx=3$ Find the value of $x$ (in degrees).
$\Rightarrow 2 \cos^2 x + 14 \sin x \cos x = 6$ $\Rightarrow (\cos (2x) + 1) + 7 \sin (2x) = 6$ $\Rightarrow \cos (2x) + 7 \sin (2x) = 5$. There is a standard technique... | 4 | [
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-0.04931640625,
0.077... | 22,773 | 22773 | |
Inner products and basis of orthogonal complement
May 15th 2010, 12:34 PM #1
Newbie
Joined
Mar 2010
Posts
15
Inner products and basis of orthogonal complement
Hey guys, I've been thinking about this problem for some time now, but I'm not really sure how to proceed to do it. I think the inner product stuf... | 5 | [
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0.0104370117187... | 22,774 | 22774 | |
Sophie Diagrams
May 8th 2010, 09:47 PM
gunsandroses234
Sophie Diagrams
The diagram attached consists of a rectangle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respectively and angle DXY = 90 degrees. If all the line segments in
the diagram have integer lengths, then we ... | 4 | [
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0.0175781... | 22,775 | 22775 | |
Help with third order, non-linear DE.
August 9th 2008, 03:36 AM #1
Newbie
Joined
Aug 2008
Posts
10
Help with third order, non-linear DE.
consider the thrid order DE:
y'y'''=y''
Question: Find all polynomials y(x) of degree 5 orl ess that satisfy this equation(It turns out that these are all of ... | 5 | [
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Floating-point Programming
15.2 Understanding Floating-point Programming
Numerical programming is an extensive area; if you need to develop sophisticated numerical algorithms then gawk may not be the ideal tool, and this documentation may not be sufficient. It might
require digesting a book or two^91 to really intern... | 5 | [
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0.... | 22,777 | 22777 | |
IntroductionMethodologyPoint Cloud Data PreprocessingLocal Surface Normal EstimationLocal Slope ComputationRoad DetectionCalculation of Excavation VolumeImplementation and Testing of the MethodSoftware ImplementationData DescriptionGeometric ComputationsSlope ComputationRoad Detection and SegmentationVolume Computation... | 4 | [
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Physics Forums - Word Problems with Parabolas
darshanpatel Feb22-12 08:13 PM
Word Problems with Parabolas
1. The problem statement, all variables and given/known data
Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is that is 32 feet wide is .4 feet higher in in th... | 4 | [
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Blind signal separation system and method, blind signal separation program and recording medium thereof - Patent # 7010514 - PatentGenius
Blind signal separation system and method, blind signal separation program and recording medium thereof
7010514 Blind signal separation system and method, blind signal se... | 4 | [
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... | 22,780 | 22780 | |
Conditional probability
August 22nd 2013, 06:02 AM #1
Junior Member
Joined
Aug 2013
From
hcm
Posts
27
Conditional probability
An urn always contains 2 balls. Ball colors are red and blue. At each stage a ball is randomly
chosen and then replaced by a new ball, which with probability 0.8 is the sa... | 4 | [
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Proving that the cube root of 5 is irrational
August 6th 2008, 01:02 PM
AJArmstron
Proving that the cube root of 5 is irrational
I am trying to prove or disprove that the cube root of 5 is an irrational number.
I have tried using a proof by contradiction, although am not convinced that I have a good answer.... | 4 | [
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Creating a magnetic field (vector field)
Ok I've made some progress:
If I say that any point in R3 can be given by the position vector:
[tex] \vec { p } =[{{ x }_{ 0 }{ ,y }_{ 0 }{ ,z }_{ 0 } } ][/tex]
Since the vectors r and r-hat are vector that points from a point on the wire to the point in R3 at which you want ... | 4 | [
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Hamiltonian mechanics- show that the following are extremals...
August 9th 2010, 03:41 AM #1
Junior Member
Joined
Feb 2010
Posts
40
Hamiltonian mechanics- show that the following are extremals...
The problem statement :
Consider the variational problem with lagrangian function $L(t,x,\dot x)= \sqrt{... | 4 | [
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Patente US3959637 - Digital filter
GENERAL DESCRIPTION AND OBJECTS
This invention relates to a type of digital filter wherein the filter coefficients needed to provide the desired impulse response are delta coded.
When a signal x(t) passes through a filter having an impulse response h(t), an output signal y(t) is obt... | 4 | [
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Physics Forums - Quick question about integral of (1/x)
Hey sbcdave -welcome to PF!
you're generally best off posting question as new threads, gets less confusing that way, particularly for old threads.
Quote:
Quote by sbcdave (Post 3678387)
I'm new to calculus, but my impression is that an integral should be a fu... | 5 | [
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Patent US4817047 - Processing circuit capable of raising throughput of accumulation
BACKGROUND OF THE INVENTION
This invention relates to a processing circuit for use in processing digital signals in a signal processor.
In general, digital signal processing can accomplish reliability and stability higher than analog ... | 4 | [
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Requesting help understanding an algorithm involving normalised vector
December 13th 2012, 02:00 AM
Eiko
Requesting help understanding an algorithm involving normalised vector
Hi everyone,
I am new here. I stumbled upon this forum while trying to figure out an algorithm that involves vector and normalised d... | 4 | [
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Determine the angle of incline
1. The problem statement, all variables and given/known data
Determine the angle of incline on
this
frictionless air track.
Acceleration = 0.147 m/s
^2
.
The answer is supposed to be 4.10°.
2. Relevant equations
F
[net]
= ma
3. The attempt at a solution
Mass 1 (
FBD
):
Per... | 4 | [
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Refinements of Generalized Aczél's Inequality and Bellman's Inequality and Their Applications
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 645263, 6 pages
http://dx.doi.org/10.1155/2013/645263
Research Article
Refinements of Generalized Aczél's Inequality and Bellman's Inequality and Their Applicatio... | 5 | [
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A few problems I can't work out!
January 6th 2009, 06:43 AM #1
Newbie
Joined
Jan 2009
Posts
3
A few problems I can't work out!
q/t=q/p+1 Express p in terms of q & t
(I'm using / as a fraction thing)
Solve 2 over x-1 minus 3 over x+1 equals 1 over 15
(12-2x)(10-2x)=80
Find the value of x... | 4 | [
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[Haskell-cafe] (small) code review request
Radu Grigore radugrigore at gmail.com
Thu Jun 16 04:00:37 EDT 2005
The programming language I know best is C++. Wait, don't close the message.
I also know OCaml and a couple of days ago I read "A Gentle
Introduction to Haskell". In order to practice what I've learned a bit
... | 5 | [
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prove it is a subgroup
October 13th 2008, 06:12 AM
mandy123
prove it is a subgroup
Let G be a group and H be a subgroup of G. Define N(H)={x is a member of G|xHx^-1=H} Prove that N(H) (called normalizer of H) is a subgroup of G.
October 13th 2008, 07:20 AM
ThePerfectHacker
Quote:
This is a straightf... | 5 | [
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What is meant by saying that the Goldstone-bosons are eaten by gauge bosons?
To see how this works, let's consider a specific example of a complex scalar field, [itex]\phi[/itex], coupled to an abelian gauge field. The complex scalar has 2 real degrees of freedom, while the
massless gauge field also has 2 real degree... | 4 | [
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Determing Antiderivatives from a Word Problem
February 27th 2008, 08:27 PM
!!!
Determing Antiderivatives from a Word Problem
"A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 22 ft/ $s^{2}$. What is the distance covered before the car comes to a stop?"
I ... | 5 | [
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Integral of geometric series
January 19th 2010, 11:07 PM #1
Junior Member
Joined
Aug 2008
Posts
52
Integral of geometric series
Hint: Cal II stuff; what is a geometric series? Try converting the integrand to something simpler.
I don't even know where to begin with this one. The hint isn't help... | 5 | [
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Simultaeous equation with infinite solutions
September 17th 2010, 06:48 AM #1
Junior Member
Joined
Jan 2009
Posts
69
Simultaeous equation with infinite solutions
Hi
How would I be able to find the value of $a$ that would give the equations an infinite number of solutions
$x-4y+z=14$
$-4x-3y... | 5 | [
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kinetics
THERMODYNAMICS and KINETICS 534 SPRING 1999
Syllabus for the kinetics part of the course
A brief six week introduction to chemical kinetics
Instructor - Professor James Schlegel
Text Chemical Kinetics by Kenneth A. Connors, VCH Publishers, Inc.
I am told that the book store will have this book by March 22, ... | 5 | [
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Hailstone Sequence
P: 105
Fun stuff. For example, take the sequence from 27 and stop at 31: 27-82-41-124-62-31 and count the evens and odds.
1 odd
1 even
1 odd
2 evens
Now, the successor of an odd is always even, so there can never be more than one contiguous odd. But there can arbitrarily many contiguous evens. So... | 4 | [
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