content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
boat in water, force vectors
A boat heads in the direction N 40 degrees W at a speed of 24 knots. The current runs at 6 knots in the direction N 25 degrees E. Find the resultant speed and direction of the boat.
Hello, Mr_Green! I must assume you are familiar with vectors. A boat heads in the direction N 40Β° W at a spe... | 4 | [
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integral: partial fractions...?
March 7th 2013, 05:16 PM
infraRed
integral: partial fractions...?
Hi. I'm reviewing for my Calc II mid-term. I'm hoping for at least a 65% this time. :(
Anyway, I'm not quite sure about this review question from the section on partial fractions:
$\int{\frac{x^2+5}{x^3-x^... | 5 | [
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Abelian implies nilpotent
From Groupprops
DIRECT: The fact or result stated in this article has a trivial/direct/straightforward proof provided we use the correct definitions of the terms involved
View other results with direct proofs
VIEW FACTS USING THIS:
This article gives the statement and possibl... | 4 | [
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Patent US4860265 - Seismic trace restoration using F-K filtering
BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to seismic exploration and more particularly, to a method for correctly restoring seismic traces using F-K filtering. This invention further relates to a method for restoring
c... | 4 | [
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Prove Closed Neighborhoods in R's Topologies
September 11th 2012, 09:03 AM
Kiefer
Prove Closed Neighborhoods in R's Topologies
(1) For any point p, where p is an element of R, {p} is an open-and-closed neighborhood of p in R*
R represents the real numbers
R*={A is a subset of R|a is an element of A impli... | 4 | [
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Initial Value Problem
January 14th 2009, 08:57 AM
Aryth
Initial Value Problem
Let $c > 0$. Show that the function $\phi(x) = (c^2 - x^2)^{-1}$ is a solution to the initial value problem $\frac{dy}{dx} = 2xy^2$, $y(0) = \frac{1}{c^2}$, on the interval $-c < x < c$. Note
that this solution becomes unbounded as... | 5 | [
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Euler problems/31 to 40
From HaskellWiki
Investigating combinations of English currency denominations.
Solution:
This is the naive doubly recursive solution. Speed would be greatly improved by use of memoization, dynamic programming, or the closed form.
problem_31 = ways [1,2,5,10,20,50,100,200] !!200
where ways... | 5 | [
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I can't figure this out...
October 29th 2008, 01:07 PM
greenpumpkins
I can't figure this out...
Assume the random variable X is normally distrubted with mean = 50 and standard deviation = 7. Compute its probability.
P(34 < X < 61)?
October 29th 2008, 02:48 PM
CaptainBlack
Quote:
Compute the z-s... | 5 | [
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pline
Go to the first, previous, next, last section, table of contents.
This chapter describes functions for the computation of smoothing basis splines (B-splines). A smoothing spline differs from an interpolating spline in that the resulting curve is not required to
pass through each datapoint. See section Interpolat... | 4 | [
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parametric derivative
If x=t^3, y=2t^2 for t>0, then what does d^2y/dx^2 equal?
$\frac{dy}{dx} = \frac{dy}{dt} \cdot \frac{dt}{dx}$ $\frac{d^2y}{dx^2} = \frac{d}{dt} \left ( \frac{dy}{dx} \right ) \cdot \frac{dt}{dx}$
This is what the question is asking. $\frac{{d^2 y}}{{dx^2 }} = \frac{d}{{dx}}\left( {\frac{{dy}}{{d... | 5 | [
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Bacteria growth
March 11th 2009, 08:41 PM #1
Newbie
Joined
Mar 2009
Posts
23
Bacteria growth
A type of bacteria increases continuously at a rate proportional to the number present. If there are 1000 present at a given time and 2000 present two hours later, how many hours (from the
initial time) will ... | 5 | [
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One Last question about ellipse
February 8th 2007, 05:57 AM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
One Last question about ellipse
The perimeter of a triangle is 30 and the points (0,5) & (0, -5) are two of the vertices. Find the graph of the third vertex.
Answer - $\frac{x^2... | 4 | [
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solve this trig equation
April 6th 2010, 03:38 PM
magmagod
solve this trig equation
sin2x + sqrt 2/2 = 0
i moved sqrt 2/2 to the other side..then i found the inverse of sin for 2x...then i got the quadrant values, dividing each one by 2...after than i added the period (pi/2) to the results giving
the fi... | 4 | [
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Moment of inertia of a hollow sphere
chickendude
[tex]\frac{mR^2}{2} \int_{0}^{\pi}\sin^3\phi d\phi[/tex]
That integral evaluates to 4/3, and bam, it works
Thanks a lot
How would you get 4/3 for the intergral, i used substitution rule and always got 2/3 for the answer.
β«_0^Οβγsinγ^3 Ο dΟ=β«_0^Οβγ(1-γcosγ^2 Ο)γsinΟ... | 4 | [
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Service level definition and formula (inventory)
By Joannès Vermorel, last revised January 2012 Service level (inventory)
represents the expected probability of not hitting a stock-out. This percentage is required to compute the
safety stock
. Intuitively, the service level represents a trade-off between the cost of... | 5 | [
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Micromechanical Formulation of the Yield Surface in the Plasticity of Granular Materials
Journal of Applied Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 385278, 7 pages
http://dx.doi.org/10.1155/2013/385278
Research Article
Micromechanical Formulation of the Yield Surface in the Plasticity of Granular Materials
^1Univ... | 4 | [
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Simplifying natural logarithm
April 8th 2008, 04:46 PM #1
Member
Joined
Feb 2008
Posts
97
Simplifying natural logarithm
Trying to simplify the derivative of this to find a constant,
y = ln[{lnx/A}/{1-[lnx/A]}]
The best I can is get to
y'=ln[lnx/{A-lnx}]
Any ideas?
Ok here is what you... | 5 | [
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isolate terms in vector equation?
December 11th 2009, 05:44 AM #1
Newbie
Joined
Oct 2009
Posts
7
isolate terms in vector equation?
A traffic light weighing 22 lbs is hanging from a cable on the right at 60 degrees (force vector T1) and a cable on the left at 45 degrees (force vector T2). From this we get... | 4 | [
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Option Pricing Examples
In this section, I explore the implications of theorems 5 and 6 through the use of three option pricing examples. In the first, I consider how options are priced in the example from sections 4 and 5.
In the second, I use a binomial option model. In the third, I use a continuous time diffusion mo... | 5 | [
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On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components
Abstract and Applied Analysis
VolumeΒ 2013Β (2013), Article IDΒ 424510, 10 pages
http://dx.doi.org/10.1155/2013/424510
Research Article
On the Convergence of the Homotopy Analy... | 5 | [
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Proving a property of the cross/dot products?
October 28th 2012, 01:41 PM #1
Newbie
Joined
Oct 2012
From
Edmonton
Posts
13
Proving a property of the cross/dot products?
1. Prove that u DOT (v CROSS w)= ( u CROSS v) DOT w . Can you give criterion for when this product is zero, based on the directions... | 4 | [
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Math Help
May 22nd 2008, 12:56 AM #1
Newbie
Joined
May 2008
Posts
13
Extrema
Hello,
yesterday we had a test of calculus and one question was:
Find and classify the extreme of
h(x,y)=(1+1/(x))*(1+1/(y))*(1/(x)+1/(y))
I have absolutely no idea how to solve this thing. Can someone help m... | 4 | [
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Vectors - area of parallelogram
March 17th 2011, 12:31 PM #1
Member
Joined
Oct 2009
Posts
80
Vectors - area of parallelogram
Find an area of a parallelogram determined by the points P(7,-5,5), Q(-5,10,10), R(-8,8,-4) and S(-20,23,1).
-->
PQ = -12i + 15j + 5k
-->
RS = -12i + 15j + 5k
... | 4 | [
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Confused about undefined values
December 29th 2012, 05:15 PM
kinhew93
Confused about undefined values
If I have an equation such as y = (3x(1-x))/(1-x) this simplifies to y = 3x?
but if x = 1 the first equation is undefined though for the second y = 3
could somebody please explain what is going on here... | 4 | [
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0... | 18,823 | 18823 | |
Logarithms?
September 16th 2009, 02:35 PM #1
Member
Joined
Oct 2008
Posts
80
Logarithms?
Somehow this is on my chemistry homework, and we managed to skip logarithms in my algebra II class. I've looked up logarithms, and it seems to me like these problems are missing something, but
you decide:
Fi... | 4 | [
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... | 18,824 | 18824 | |
Find the area of the shaded region...
February 25th 2010, 07:49 AM #1
Member
Joined
Mar 2009
From
jharkhand
Posts
77
Find the area of the shaded region...
In the given fig., AB and AC are two equal chords of length 7cm and βBAC=60 degrees. Find the area of the shaded region A,C,B in clockwise directi... | 4 | [
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Patent US4471164 - Stream cipher operation using public key cryptosystem
TECHNICAL FIELD
This invention relates to the field of cryptography and, in particular, to public key cryptographic systems.
BACKGROUND OF THE INVENTION
In data transmission networks, it is often necessary to protect stored and transmitted data... | 5 | [
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ERNEST MOYER
ERNEST MOYER'S RESEARCH
The Great Pyramid Pi Chamber
... | 4 | [
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0.0703125,
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0.009765625,
-0.0654296875,
-0.0250244140625,
0.00665283203125,
0.039306640625,
... | 18,827 | 18827 | |
limits involving x-root functions
November 9th 2009, 07:33 PM
Landyach
limits involving x-root functions
Hey... This question is beyond me...
find lim as x -> 0
f(x) = 1 / ((x+1)^(1/x)) - 1/x
any help would be greatly appreciated.
November 9th 2009, 08:01 PM
Bacterius
$f(x) = \frac{ 1}{(x+1... | 5 | [
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-0... | 18,828 | 18828 | |
infinite product (sort of)
Evaluate $\displaystyle \frac{2}{1} \div \Bigg(\frac{5}{4} \div \bigg( \frac{8}{7} \div \Big(\frac{11}{10} \div \ ... \Big)\bigg) \Bigg)$
Hint Spoiler: Use the infinite product expression for the sine function.
You're making it too complicated. It's equivalent to $\displaystyle \frac{2}{1} ... | 5 | [
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Hottest 'mathematics-education' Answers
For vector spaces, $\dim (U + V) = \dim U + \dim V - \dim (U \cap V)$, so $$ \dim(U +V + W) = \dim U + \dim V + \dim W - \dim (U \cap V) - \dim (U \cap W) - \dim (V \cap W) + \dim(U \cap V \cap W),
$$ right?
Everyone knows that for any two square matrices $A$ and $B$ (wi... | 4 | [
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Inequality (Factorial Related)
Prove : $(n!)^2 > n^n$ when n is a +ve integer > 2
Hi ! $n! = 1\times 2\times 3\cdots (n-1)\times n$ so \begin{aligned}(n!)^2 &= [1\times 2\times 3\cdots (n-1)\times n]^2\\<br /> &={\color{red}1}\times {\color{blue}1} \times {\color{green}2}\times {\
color{magenta}2} \cdots {\color{magen... | 5 | [
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0.022460937... | 18,831 | 18831 | |
Question on boundedness
June 18th 2011, 10:50 AM #1
Member
Joined
Dec 2010
Posts
107
Question on boundedness
Let $a\in\mathbb{R}$ and consider the set $S_a=\{a^n:n\in\mathbb{N},n>0\}$. Prove carefully that a is not bounded above when a>1.
My first thoughts are to use a contradiction, by using the de... | 4 | [
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-... | 18,832 | 18832 | |
Vectors`
October 28th 2006, 11:24 PM
classicstrings
Vectors`
Ok .. here it is...
The velocity of a train is reduced from 30m/s to 10m/s over a distance of 200m. Under this constant deceleration the train travels a further distance before coming to rest. What is this distance?
October 29th 2006, 02:02 AM
c... | 4 | [
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-0.00186157226... | 18,833 | 18833 | |
The norm of a vector
Sci Advisor
HW Helper
PF Gold
P: 3,171
Continuity and other limiting concepts in analysis can be defined in any metric space, which is simply a set ##S## along with a distance function ##d## satisfying the following conditions for all ##
x,y \in S##: (1) ##d(x,y) \geq 0##, and ##d(x,y) = 0##... | 4 | [
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... | 18,834 | 18834 | |
For what point along the shoreline should you aim?
March 7th 2009, 09:44 PM #1
Junior Member
Joined
Mar 2009
Posts
42
For what point along the shoreline should you aim?
You are in a row boat on Lake Erie, 2 miles from a straight shoreline, taking your potential in-laws for a boat ride. Six miles down the... | 4 | [
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Differential Equations... find the general sum
April 4th 2007, 02:16 PM #1
Member
Joined
Jun 2006
Posts
93
Differential Equations... find the general sum
dy/dt + 3y = t + e^(-2t)
Find the general solution of the given differential equation and use it to determine how solutions behave at t --> inf
... | 5 | [
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solve using addition and multiplication principles
June 8th 2008, 06:23 AM
Mr.Huge
solve using addition and multiplication principles
Did I do this correct? Its been about 10 years since i been to school and am having some issues remembering how to do a lot of this stuff.
-6r-6 is less than or = to -2(2r-4)... | 4 | [
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... | 18,837 | 18837 | |
Math Help
September 15th 2009, 01:32 PM #1
Newbie
Joined
Sep 2009
Posts
2
pmf help
my problem is Let X be a random variable with pmf pk = c/k^2 for k = 1, 2, ....
a.) estimate the value of c numerically.
b) find P[X > 4]
c) find P[6 <= X <= 8]
i'm thinking that i need to do the summati... | 4 | [
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0.01477... | 18,838 | 18838 | |
A few Short Calculus Practice Problems- HELP!
December 11th 2008, 01:35 PM #1
Newbie
Joined
Nov 2008
Posts
21
A few Short Calculus Practice Problems- HELP!
Can anyone please show me how to do these? I'm in short calculus (calc without trig).
If $<br /> <br /> \int_1^4 f(x)dx = 6 <br />$ , what is th... | 5 | [
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... | 18,839 | 18839 | |
Demand and total cost function
November 19th 2008, 08:26 PM #1
Newbie
Joined
Nov 2008
Posts
3
Demand and total cost function
I'm stuck on how to set this up, and help would be great.
Demand function is Q = 16 - P
Total cost function is defined as TC = 3 + Q + 0.25 Q^2.
Use the two functions... | 4 | [
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Physics Forums - Simplex method - algebraic vs tabular form
Quote:
Quote by skaterboy1 (Post 3806596)
Thank you very much for your help!
IΔ«m now learning the big M method and learning about the radiation therapy problem where the β€ isnΔ«t always that way but itΔ«s also β₯.
See picture
I was wondering if the big M m... | 5 | [
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-... | 18,841 | 18841 | |
RSA encryption
April 9th 2006, 05:21 PM #1
Junior Member
Joined
Apr 2006
Posts
39
RSA encryption
This problem is for my discrete math class - so I hope this is in the right section.
This problem is to be done using only the computing power of a pocket calculator. Write out all your work in step-by-... | 5 | [
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0.0261230468... | 18,842 | 18842 | |
differentation question
December 2nd 2007, 06:49 AM #1
Member
Joined
Dec 2007
Posts
90
differentation question
Hi everyone i was just wondering if anyone could help with this differentiation question it is :
Use differentitation to find the coordinates of the stationary points on the curve.
Y= x... | 4 | [
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EE2202 ELECTROMAGNETIC THEORY ANNA UNIVERSITY PREVIOUS YEAR QUESTION PAPER April/May 2010 ...
EE2202 ELECTROMAGNETIC THEORY ANNA UNIVERSITY PREVIOUS YEAR QUESTION PAPER April/May 2010 ...
Posted by R.Anirudhan
B.E./B.Tech. DEGREE EXAMINATION, APRIL/MAY 2010
Third Semester
Electrical and Electronics Engineering
... | 5 | [
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... | 18,844 | 18844 | |
Combined First- and Second-Order Variational Model for Image Compressive Sensing
Mathematical Problems in Engineering
VolumeΒ 2013Β (2013), Article IDΒ 470165, 11 pages
http://dx.doi.org/10.1155/2013/470165
Research Article
Combined First- and Second-Order Variational Model for Image Compressive Sensing
^1School of Com... | 4 | [
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0.0417480... | 18,845 | 18845 | |
Synchronized Clocks in Frames boosted by Acceleration
I have often thought about how the one-way speed of light can be measured without having to use synchronized clocks, which tends to be controversial because the clocks are normally synchronized by
using one-way light in the first place. Recently, Don Lincoln of Ferm... | 5 | [
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0.1005859375... | 18,846 | 18846 | |
Stabilization Strategies of Supply Networks with Stochastic Switched Topology
Journal of Applied Mathematics
VolumeΒ 2013Β (2013), Article IDΒ 605017, 7 pages
http://dx.doi.org/10.1155/2013/605017
Research Article
Stabilization Strategies of Supply Networks with Stochastic Switched Topology
^1State Key Laboratory of Ra... | 4 | [
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proof of -1 = +1
January 22nd 2009, 12:58 PM #1
Newbie
Joined
Jan 2009
From
Southern California
Posts
12
proof of -1 = +1
[I hope I did the LaTex correctly.]
We know that $\textit{i}^2 = \sqrt{-1}^2$ and the square root and square operations are inverses so they cancel and $\textit{i}^2 = -1$ .
... | 4 | [
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0.0257568359375,
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-0.02990722656... | 18,848 | 18848 | |
Divisibility (gcd) 16
$a,b \in \mathbb{Z^+} , (a,b)=1 ,$ $n \in\mathbb{N} ,$ Show that: $(\frac{a^n-b^n}{a-b},a-b)=1$ or $n$
Take $a=5$ ; $b=2$ and $n=6$ It should be $\left(\frac{a^n-b^n}{a-b},a-b\right)|n$ Now, the proof I've found is nasty We have $<br /> \tfrac{{a^n - b^n }}<br /> {{a - b}} = a^{n - 1} + a^{n - 2}... | 5 | [
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0.059814453125,
-0.039794921875,
0.0240478515625,
0.0791015625,
0.025634765625,
-0.026611328... | 18,849 | 18849 | |
Galois Group
May 18th 2009, 10:03 PM #1
Galois Group
I need to find the Galois Group of $(x^2-2)(x^2-3)(x^2-5)$
So to start since the splitting field is a degree 6 extention $[K:F]=6$ so the Galois Group should have 6 isomporphisms.
The splitting field looks like $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$... | 4 | [
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0.08837890625,
-0.07373046875,
-0.071777343... | 18,850 | 18850 | |
Derivative of matrix inverse
March 7th 2010, 04:49 PM #1
Derivative of matrix inverse
The matrix Sigma is positive definite and is decomposed as $\Sigma = AA^T$
Thus: $\Sigma^{-1} = A^{-T}A^{-1}$ and $A^{T}\Sigma^{-1} = A^{-1}$
What is $\frac{d A^{-1}}{d\Sigma}$ ?
Follow Math Help Forum on Facebook... | 4 | [
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0.06982421875,
0.0400390625,
0.0... | 18,851 | 18851 | |
Proof by Mathematical induction!
October 30th 2008, 09:33 AM #1
Newbie
Joined
Oct 2008
Posts
15
Proof by Mathematical induction!
Hi there,
I have this assignment, and I thought I was on the right path, but when I received it back with suggestions to fix it, I'm still not sure where to go from here. ... | 4 | [
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0.00238037109375,
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0.00238037109375,
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-0.0223388671875,
-0.029052734375,
0.05... | 18,852 | 18852 | |
Converging integrals
Show whether or not each of the following integrals converge: i) ii)
$<br /> \int\limits_1^\infty {e^{ - \left( {3x^2 + 2} \right)} dx = e^{ - 2} } \int\limits_1^\infty {e^{ - 3x^2 } dx} <br /> <br />$ now it's easy to verify that: $<br /> e^{ - 3x^2 } \leqslant e^{ -
3x} \quad \forall 1 \leqslant... | 5 | [
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-0.0012969970703125,
-0.07080078125,
0.055908203125,
0.0072... | 18,853 | 18853 | |
Complex Numbers: Cartesian to Polar
September 8th 2009, 04:55 PM #1
Junior Member
Joined
Aug 2009
Posts
69
Complex Numbers: Cartesian to Polar
Hi there,
If I have a complex number z = 1 + root(3)i
Then changing it to polar form is z = r cis(11pi/6)
But my book does mention that the angle m... | 4 | [
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0.054931640625,
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0.07177734375,
0.0189208984375,
0.07080078125,
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Examples of system of linear differential equations with periodic coefficients
You mean something like
[tex]sin(t)\frac{dx}{dt}+ (1- t^2)\frac{dy}{dt}= e^t[/tex]
[tex]cos(t)\frac{dx}{dt}+ t\frac{dy}{dt}= t[/tex]?
You will want to try to reduce this to a single equation in either x only or y only.
Essentially, use "Gau... | 4 | [
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Patent US6266071 - Method of producing fluid-like animations using a rapid and stable solver for the Navier-Stokes equations
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to computer graphic animation, and more particularly to computer graphic simulation of fluid flow.
... | 4 | [
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0.030517... | 18,856 | 18856 | |
The ItΓ΄ Integral with respect to an Infinite Dimensional LΓ©vy Process: A Series Approach
International Journal of Stochastic Analysis
VolumeΒ 2013Β (2013), Article IDΒ 703769, 14 pages
http://dx.doi.org/10.1155/2013/703769
Research Article
The ItΓ΄ Integral with respect to an Infinite Dimensional LΓ©vy Process: A Series A... | 4 | [
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Logarithmic problem help
I have to solve x in terms of k $log x + log (x+9)=k$
Yes, Also Sprach Zarathustra understood that. Apply his hint. If "log(x)+ log(y)= log(xy)" is a general rule, then what is log(x)+ log(x+ 9)? Do you know how to solve log(y)= k for y? Do you know
what the inverse function to log(x) is?
I h... | 4 | [
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0.043701171875,
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Help with related rates problem (calculus I)
May 3rd 2009, 11:22 AM
gtgamer140@yahoo.com
Help with related rates problem (calculus I)
Two boats are racing with constant speed toward a finish marker, boat A sailing from the south at 13mph and boat B approaching from the east. When equidistant from the marker the ... | 5 | [
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Solution for Ill-Posed Inverse Kinematics of Robot Arm by Network Inversion
Journal of Robotics
VolumeΒ 2010Β (2010), Article IDΒ 870923, 9 pages
http://dx.doi.org/10.1155/2010/870923
Research Article
Solution for Ill-Posed Inverse Kinematics of Robot Arm by Network Inversion
Department of Electronics and Computer Syst... | 4 | [
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Patent US6160505 - Method and apparatus for converting an analog signal to a digital signal
CROSS REFERENCES TO RELATED APPLICATIONS
This application claims the benefit of U.S. provisional application No. 60/075,829 filed Feb. 24, 1998, entitled "The Chirp A/D Converter: A New Approach to Achieving High Quality Digita... | 4 | [
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0.03... | 18,861 | 18861 | |
Patent US7664191 - Method of symbol detection for MIMO dual-signaling uplink CDMA systems
CROSS REFERENCE TO RELATED APPLICATIONS
This application claims priority under 35 U.S.C. Β§119 of Taiwanese Patent Application No. 094115211 dated May 11, 2005 the disclosure of which is hereby incorporated by reference.
FIELD OF... | 4 | [
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Impossible equation to solve?
Mentallic
[tex]\int_0^{6}\sqrt{1 - (nx)^2}\dx \neq \left [{1 \over 2}\sqrt{1 - n^2x^2} + {\arcsin (nx) \over 2n} \right ]_{0}^{6}[/tex]
Now, I can't actually explain because I don't know how to evaluate the integral, but I did go about it backwards and derived the result. They're not e... | 5 | [
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Help on Math & Merchandising
November 6th 2007, 10:17 PM #1
Junior Member
Joined
Oct 2007
Posts
48
Hi All,
Can you please help on these questions? I have solved them but just want to know if the answers r correct..
It's urgent ..
Q1:A photo machine operator purchased 20 packets of papers. T... | 4 | [
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-0.03417968... | 18,864 | 18864 | |
Solutions and Comments
37. Let ABC be a triangle with sides a, b, c, inradius r and circumradius R (using the conventional notation). Prove that
... | 5 | [
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... | 18,865 | 18865 | |
Boltzmann distribution - Derive equation of state of a gas from Helmholtz free energy
1. The problem statement, all variables and given/known data
Show that the equation of state of an ideal gas with N molecules in a container of volume V at temperature T is P=NkT. Use the result derived earlier.
The result is A=-NkT... | 4 | [
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Patent US5133046 - Computer-based diagnostic expert system organized according to Bayesian theory
FIELD OF THE INVENTION
This invention relates to artificial intelligence (Al) and more particularly to a computer-based expert system that, in the event of a malfunction of a plant or a piece of equipment, provides the
op... | 4 | [
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Series Solutions to Differential Equations
Pre-requisites:
1. Ability to represent at least one function by a power series, such as 1/(1-x)=1+x+x^2+..., and the idea of an interval of convergence.
2. Knowing that e^x is the solution to d/... | 5 | [
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linear operator proof
October 10th 2009, 11:37 AM #1
Newbie
Joined
Oct 2009
Posts
8
linear operator proof
Let W be the space of all n X 1 column matrices over a field F. If A is an
n X n matrix over F, then A defines a linear operator L on W through left
multiplication: L(X) = AX. Prove that ever... | 4 | [
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-0.01... | 18,869 | 18869 | |
plz help
April 29th 2007, 11:40 AM
JayJay1206
plz help
Hi,
May someone please help me.
Thank you.
In the figure, PE bisects angle DPF, AD is perpendicular to CG and ppoints B, P, and F are collinear. If slope angle BPC = 22, find slope angle DPE.
http://aycu26.webshots.com/image/136...073639... | 4 | [
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0.02038574... | 18,870 | 18870 | |
Proof modolu
In RSA: d_K (y)=y^d mod n and n=pq. Define
d_p=d mod(p-1)
d_q=d mod(q-1)
Let
M_p=q^(-1) mod p
M_q=p^(-1) mod q
And
x_p=y^(d_p ) mod p
x_q=y^(d_q ) mod q
x=M_p qx_p+M_q px_q mod n
Show that y^d=x mod n
any help would be appraciated, thanks
| 4 | [
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0... | 18,871 | 18871 | |
Nonlinear Programming
Solve the nonlinear program
subject to
g(x) = 0
h(x) >= 0
lb <= x <= ub
using a sequential quadratic programming method.
The first argument is the initial guess for the vector x0.
The second argument is a function handle pointing to the objective function phi... | 5 | [
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0.078125,
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Transform a pde into rotating frame
Hi,
I have an equation of the form;
[tex]
\frac{d}{dt}(W) = \omega \left(x \frac{\partial}{\partial y} - y \frac{\partial}{\partial x} \right) W + g \frac{\partial}{\partial y} W + k x \frac{\partial^2}{\partial y^2} W
[/tex]
I want to change it into the rotating frame using the t... | 4 | [
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0.0238037109375,
0.052490234375,
-0.10546875,
... | 18,873 | 18873 | |
x intercepts
February 24th 2009, 05:47 PM #1
Newbie
Joined
Feb 2009
Posts
1
1. a vegetable garden with an area of 200 square ft is to be fertiliezed. If the lenght of the garden is 1 foot less than three times the width, find the dimension of the garden?
2. Find the X-intercepts
F(x)=X^2/18 +... | 4 | [
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... | 18,874 | 18874 | |
Physics Forums - View Single Post - Particles and charge
~christina~
yes, I did mean that, but since I copied and pasted here and there I missed that.
[tex]F= 6.67x10^{-11}N(m/kg)^2 \frac{(6.60 x10^ {-27}kg)
(3.25x10^{-25}kg)} {(9.1x10^{-15})^2= 1.727x10^-33 N}[/tex]
hm so you mean I take this number below and... | 4 | [
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0.041259765625,
... | 18,875 | 18875 | |
Math Help
October 5th 2008, 10:48 AM #1
Newbie
Joined
Oct 2008
Posts
3
cosets
Let $G$ be a group and let $N$ be a subgroup of $G$. Using the definitions of the sets $gN$, $Ng$, and $gNg^{-1}$, prove that $Ng = gN$ for every $g$ in $G$ if and only if $G = N_G(N)$.
$N_G(N)$ = { $g$ in $G$ | $gNg^{-1}... | 4 | [
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0.052001953... | 18,876 | 18876 | |
Mixed Finite Element Methods for the Poisson Equation Using Biorthogonal and Quasi-Biorthogonal Systems
Advances in Numerical Analysis
VolumeΒ 2013Β (2013), Article IDΒ 189045, 9 pages
http://dx.doi.org/10.1155/2013/189045
Research Article
Mixed Finite Element Methods for the Poisson Equation Using Biorthogonal and Quas... | 4 | [
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Patent US4740886 - Computer control system utilizing knowledge processing
BACKGROUND OF THE INVENTION
The present invention relates to computer control which utilizes a knowledge information processing technique in order to determine an optimal control strategy, and more particularly to a computer
control system which... | 4 | [
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0.0004158020019531... | 18,878 | 18878 | |
World Problem dealing with matrices
November 16th 2008, 02:03 PM #1
Newbie
Joined
Oct 2008
Posts
23
Please help me to understand this problem, if I understand how to set it up I know I can solve it. . .
Problem: Candidate A and candidate B are running for mayor of a small town. After attending a deba... | 4 | [
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0.01733... | 18,879 | 18879 | |
Area of an inscribed Rectangle
June 3rd 2008, 08:46 PM #1
Newbie
Joined
Jun 2008
Posts
2
A rectangle that is x feet wide is inscribed in a circle of radius 8 ft.
a) Express th area of the rectangle as a function of x.
b) find the domain of the function
c) What dimmensions maximize the area of... | 5 | [
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... | 18,880 | 18880 | |
Density Functions
May 15th 2008, 04:54 AM #1
Density Functions
A particle of mass $M$ has a random velocity, $V$, which is normally distributed with parameters $\mu = 0$ and $\sigma$. Find the density function of the kinetic energy.
I've asked this before in a previous post, however, while not quite necessar... | 5 | [
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0.00982666015625,
0.033447265625,
0.012939... | 18,881 | 18881 | |
Speed, distance and time problem
November 13th 2009, 06:20 AM #1
Junior Member
Joined
Aug 2009
Posts
62
Speed, distance and time problem
Two workers X and Y staying at the same place are working in the same factory. X takes 20 mins while Y takes 30 mins to reach the factory by the same road. One day, Y s... | 4 | [
0.0235595703125,
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-0.03515625,
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-0.0791015625,
-0.0174560546875,
0.0654296875,
0.006561279296875,
-0.00092315673828125,
0.091796875,
0.025390625,
0.05859375,
0.0047607421875,... | 18,882 | 18882 | |
Show sequence convergence
October 25th 2009, 07:55 PM #1
Newbie
Joined
Oct 2009
Posts
5
Show sequence convergence
1. Let $(x_n)$ be a sequence with $x_1 = 1$ and $x_n = x_{n-1} - \frac{(-1)^n}{n}$. Prove convergence.
I tried to prove this is cauchy, but couldn't make much progress.
2. Let $(s_n... | 5 | [
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[Haskell-cafe] Developing Programs and Proofs Spontaneously using
GADT
[Haskell-cafe] Developing Programs and Proofs Spontaneously using GADT
Shin-Cheng Mu scm at iis.sinica.edu.tw
Sat Aug 4 11:25:21 EDT 2007
I am curious about the possibility of developing Haskell programs
spontaneously with proofs about their prop... | 4 | [
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0... | 18,884 | 18884 | |
Gauss Test for Convergence
October 5th 2011, 05:45 PM #1
Junior Member
Joined
Sep 2011
Posts
70
Thanks
2
Gauss Test for Convergence
I just got done proving Gauss' test, which is given in the book as:
If there is an $N\ge 1$, an $s>1$, and an $M>0$ such that
$\frac{a_{n+1}}{a_n}=1 - \frac{A}{... | 5 | [
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Math Help
November 14th 2006, 04:27 PM #1
Newbie
Joined
Mar 2006
Posts
17
Related Rates
So im having some problems figuring out where to start on these 2 related rates problems.
1. For a 5000 gallon tank of water which will drain completely in 40 minutes, the volume of water remaining in the tank a... | 5 | [
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Determining linear independence
epenguin
I don't think it's showing off but I took one look at that and thought hey second element minus first equals third, there is linear dependence without any if coming into it. IOW I think your
conclusion is right.
Exactly. Normally all of these linear independence problems can... | 4 | [
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factoring question
January 30th 2013, 04:33 AM
Lotrnerd
factoring question
Could someone help me with the following question?
a^3 + a^2 - a - 1
I can't seem so get to the answer. Id love to know how you arrive to the answer too.
Thanks
January 30th 2013, 05:39 AM
Shakarri
Re: factoring questio... | 4 | [
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[SOLVED] Parametric Representation of a Curve
May 20th 2009, 02:46 PM
Solo
[SOLVED] Parametric Representation of a Curve
Hey,
Find the equation in $x$ and $y$ for the curve given parametrically
by $x = sec(t)$ and $y = tan(t)$, where $\frac{-\pi}{2} < t < \frac{\pi}{2}$. What type of
curve is it?
... | 5 | [
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Complicated Maxwell Boltzman Distribution Integration
TFM
From this, I have since got:
[tex] (\frac{2 \pi}{\pi ^{3/2}})(\frac{m^{3/2}}{m^2})(\frac{(2kT)^2}{(2kT)^{3/2}}) [/tex]
Which I cancelled down to:
[tex] (\frac{2 \pi}{\pi ^{3/2}})(\frac{1}{\sqrt{m}})(\sqrt{2kT}) [/tex]
Does this look right?
TFM
Correct!
... | 5 | [
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determining formula for sequences.
December 14th 2008, 07:18 AM #1
Newbie
Joined
Oct 2008
Posts
21
determining formula for sequences.
Im kinda having trouble trying to determine the general forumla for these sequences.
5,4,9,13,22
and one for annual salary
42 000, 43 680, 45 427.20, 47 244... | 4 | [
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... | 18,891 | 18891 | |
Physics Forums - View Single Post - Maximum Radial Velocity
This problem is pretty complicated, and I have fooled around with it in Maple but I don't understand the concepts well enough to work it out yet.
Suppose we have a simple hyperbolic orbit where there is a central mass M and a smaller mass m, and there is mor... | 4 | [
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Image of a fixed element under a random endomorphism in an Abelian group
up vote 2 down vote favorite
1
Let $G$ be a finite Abelian group with endomorphism ring $End(G)$. I am interested in the probability $P(\phi(g_1) = g_2)$ for fixed $g_1,g_2 \in G$ and a uniformly chosen endomorphism $\phi(\cdot)$
from $End(G)$. E... | 5 | [
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Matrix rings acting on right R-modules - Dauns - Exercies 1-5 no 2
August 11th 2013, 02:01 AM #1
Matrix rings acting on right R-modules - Dauns - Exercies 1-5 no 2
In Exercise 2 of Exercises 1-5 of John Dauns' book "Modules and Rings" we are given
$R = \begin{pmatrix} \mathbb{Z}_4 & \mathbb{Z}_4 \\ \mathbb{Z... | 4 | [
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... | 18,894 | 18894 | |
Non-abelian Group of order 8 problem
December 3rd 2010, 06:49 AM #1
Junior Member
Joined
Oct 2010
From
Zulu-5
Posts
60
Non-abelian Group of order 8 problem
Heres the problem:
let $G$ be a non-abelian group of order 8
1. prove there exists an element of $G$, call it $a$ such that it's order ... | 5 | [
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... | 18,895 | 18895 | |
Existence and Uniqueness Theorem
September 3rd 2011, 09:34 AM #1
Existence and Uniqueness Theorem
1. Consider the differential equation $\frac{dy}{dx}=\sqrt{x-y};\ y(2)=2$.
$f(x, y)=\sqrt{x-y}$ and $D_yf(x, y)=-\frac{1}{2\sqrt{x-y}}$
Neither $f(x, y)$ nor $D_yf(x, y)$ is continuous on some rectangle tha... | 5 | [
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compounded continuously question
February 5th 2008, 02:34 PM
killasnake
compounded continuously question
Hi I'm trying to solve this compounded continuously question.
A bank pays interest at a rate of 10.6%, compounded continuously. How much should be invested so as to have 11 thousand dollars in 6 years?
... | 4 | [
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Help with Complex Numbers
December 5th 2012, 12:16 PM
INeedOfHelp
Help with Complex Numbers
1.Find the product of Attachment 26086 and Attachment 26087
Attachment 26089
Attachment 26090
Attachment 26091
Are those steps right so far? If so, how do I solve the rest?
2.If Attachment 26095 and ... | 5 | [
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Get homework help at HomeworkMarket.com
Question
Submitted by
barzki
on Wed, 2013-05-22 22:23
due on Sun, 2013-05-26 22:17
answered 2 time(s)
barzki is willing to pay $15.00
Finance
1.Β Assume Mr. Davis can buy either a $10,000 corporate bond yielding 10% or a municipal bond yielding 7%. Assume risk is constant... | 5 | [
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