content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Brightness of bulbs
1. The problem statement, all variables and given/known data
There are two bulbs, one of 100W and one of 50W and a 120V battery.
First, connect them in parallel, find the resistance and current of each and determine which will shine brighter and by what factor. Next connect them in series, again fin... | 4 | [
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Sum of a part arithmatic and part geometric sequence
October 22nd 2009, 09:53 PM #1
Newbie
Joined
Oct 2009
Posts
3
Please Help me.
Sequence Question
There are 4 positive numbers in a sequence. The first three are in Arithmatic sequence and the last three are in geometric sequence. If the differe... | 4 | [
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0.010... | 23,701 | 23701 | |
Basis ambiguity
Maybe you should explain what this is for.
I guess I just want to follow that paper in depth, and to do that, I want to get a better intuitive understanding of some of the material.
In any case, you inspired me to prove that it's impossible in general, assuming we're sticking to orthonormal bases:
[t... | 4 | [
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Novel Node Localization Algorithm Based on Nonlinear Weighting Least Square for Wireless Sensor Networks
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 803840, 6 pages
http://dx.doi.org/10.1155/2012/803840
Research Article
Novel Node Localization Algorithm Based on Nonlinear Weigh... | 4 | [
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Expected amount a person wins/looses after m games at a casino
October 15th 2011, 07:48 PM #1
Newbie
Joined
Oct 2011
Posts
1
Hi everyone,
Assume that Jack goes to a casino. He plays n games. Every time he wins a game he gets 100$ and every time he looses a game he looses 50$. The probability that he ... | 5 | [
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semisimple rings
July 2nd 2010, 02:07 PM
dori1123
semisimple rings
If $R$ is a division ring and $V$ is a left vector space over $R$ with $dim(V)=n$, then $End_R(V)$ is isomorphic to $Mat_n(R^{op})$ and $End_R(V)$ is a left semisimple ring.
I already prove the part that $End_R(V)$ is isomorphic to $Mat_n(R^... | 4 | [
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-0.0041503906... | 23,705 | 23705 | |
Proving matrix addition theorem
September 19th 2009, 03:37 PM
skeeterrr
Proving matrix addition theorem
Hi, I'm in first year university and I'm new to proofs, so I was wondering if anyone here can help me out.
The questions ask to prove:
1) A + (B + C) = (A + B) + c
and
2) For each m x n mat... | 4 | [
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Direction Finding for Bistatic MIMO Radar with Uniform Circular Array
International Journal of Antennas and Propagation
Volume 2013 (2013), Article ID 674878, 6 pages
http://dx.doi.org/10.1155/2013/674878
Research Article
Direction Finding for Bistatic MIMO Radar with Uniform Circular Array
National Laboratory of Ra... | 4 | [
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how do you graph in 3d?
October 28th 2010, 07:30 PM #1
Junior Member
Joined
Oct 2008
Posts
65
how do you graph in 3d?
for example, these two functions:
d = ax + by + cz
and d = ax^2 + by^2 + cz^2
I know the first one is a plane and i think the second one is an ellipse in 3d, so kind of lik... | 4 | [
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Trajectories in phase space
April 15th 2010, 10:53 AM #1
Newbie
Joined
Mar 2010
Posts
6
the functions x(t) and y(t) satisfy:
x'=x+ 2xy
y' =-3y + xy
a) show that the solution trajectories in x,y phase space are given by
ln|(x^3)y| = x +2y + constant
b) determine the critical point... | 5 | [
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volume of a region bounded by two surfaces
March 22nd 2008, 07:44 AM #1
Newbie
Joined
Jul 2007
Posts
19
volume of a region bounded by two surfaces
I have this problem
find the voulme of the solid bounded above by surface z=50-4(y^2)
and below by z=9(y^2)+14
I only know how to calculate voul... | 4 | [
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1d wave eqution (help urgent)
October 19th 2012, 04:58 PM
princessmath
1d wave eqution (help urgent)
Attachment 25289
Basically, I have to use u = Real (f(x)e^-iwt) and sub it into the wave equation.
Simplify it etc,
then use say u= e^at to solve the characteristics equation.
However, I get s... | 5 | [
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Consumer Arithmetic
September 5th 2009, 08:26 PM
JadeKiara
Consumer Arithmetic
(Nod) Hello everyone! I was just wondering if someone could explain these questions to me (and how to solve them). I seem to be having a memory block. Thanks in advance.
1. Claudia, to save for her trip to the Gold Coast, puts he... | 5 | [
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Robust Joint Analysis with Data Fusion in Two-Stage Quantitative Trait Genome-Wide Association Studies
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 843563, 12 pages
http://dx.doi.org/10.1155/2013/843563
Research Article
Robust Joint Analysis with Data Fusion in Two-Stage Quantitat... | 4 | [
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Math Help
$n^2 + n - 2 = (n+2)(n-1) = 0$ (not sure what the latex symbol is for equivalent) so n=1 or -2 which is equivalent to 1 and 40 in mod 42.
First note that may be a better way $n^2+n-2=(n+2)(n-1)=0$ this gives two solutions $n=1,n=-2 \equiv 40 \mod(42)$ Note now that $42=2\cdot 3 \cdot 7$ So the only zero div... | 5 | [
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jacobian matrix. derivatives
September 27th 2009, 12:43 PM #1
Member
Joined
Nov 2008
From
MD
Posts
165
calculate the jacobian matrix of the function at the given point. and write the formula for the total derivative.
M(x1,x2,x3,x4)= ( (x1+x2)/(x3+x4), (x3+x4)/(x1+x2) )
a= (1,1,1,1)
how do... | 5 | [
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0.026611... | 23,715 | 23715 | |
Physics Forums - View Single Post - What will be the events relative to the ground observer , a time-like or space like?
ghwellsjr
Adel, I'm going to try to explain what time-like and space-like mean, and why if two events have one type of likeness in one frame, they have the same type of likeness in all frames. Ag... | 4 | [
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Physics Forums - Finding T(v) relative to B and B'
dzimitry Aug9-10 03:00 AM
finding T(v) relative to B and B'
1. The problem statement, all variables and given/known data
find T(v) using the matrix relative to B and B'
T(x, y, z) = (2x, x + y, y + z, x + z)
v = (1, -5, 2)
B = { (2, 0, 1), (0, 2, 1), (1, 2, 1) }... | 4 | [
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Moment of inertia of a uniform solid sphere
Posted this question in the calculus section but I guess it's more of a basic physics question, so I've copied it here -
Taking a uniform solid sphere of radius R and mass M, with the centre of mass at the origin, I divided it into infinitesimal disks of thickness dx, and ra... | 5 | [
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Dynamic Response in Transient Operation of a Variable Geometry Turbine Stage: Influence of the Aerodynamic Performance
International Journal of Rotating Machinery
Volume 2013 (2013), Article ID 735321, 11 pages
http://dx.doi.org/10.1155/2013/735321
Research Article
Dynamic Response in Transient Operation of a Variabl... | 4 | [
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0.00723... | 23,719 | 23719 | |
linear Algebra (1.14)
July 16th 2008, 06:13 AM #1
Junior Member
Joined
Apr 2008
From
Gainesville
Posts
68
linear Algebra (1.14)
Let V and W be vector spaces and T:V --> W be linear.
a) Prove that T is one-to-one if and only if T carries linearly independent subsets of V onto linearly independent... | 5 | [
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Finding the Solution in a Quadratic Equation?
February 27th 2010, 05:20 PM
BlueLeader
Finding the Solution in a Quadratic Equation?
Greetings,
I'm back again with a few problems I'm stuck on. I'm really not sure where to go with them, or how to solve them. Unfortunately I'm a complete dunce when it comes to... | 4 | [
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A Nonparametric Shewhart-Type Quality Control Chart for Monitoring Broad Changes in a Process Distribution
International Journal of Quality, Statistics, and Reliability
Volume 2012 (2012), Article ID 147520, 10 pages
http://dx.doi.org/10.1155/2012/147520
Research Article
A Nonparametric Shewhart-Type Quality Control ... | 4 | [
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Fractional Difference Equations with Real Variable
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 918529, 24 pages
http://dx.doi.org/10.1155/2012/918529
Research Article
Fractional Difference Equations with Real Variable
^1School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, China... | 5 | [
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IntroductionSystem and Algorithm Design for the SensorSystem DesignMultiple-Table Lookup AlgorithmSuspension Gap Fluctuation Compensation AlgorithmReason Analysis for Phase Signal DistortionErrors caused by suspension gap fluctuation compensation algorithmErrors caused by joint gaps of long stator sectionsA New Kind of... | 4 | [
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Stored spring energy
Register to reply
by lemon
Tags: energy, spring, stored
P: 201 Hi - Would someone check my method here please?
Thank you
1. The problem statement, all variab... | 4 | [
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... | 23,725 | 23725 | |
linear independence
CAN somebody,please write down the definition for the linear independence of the following functions? { $e^x,e^{2x}$}
As in any vector space, the set $\{e^x, e^{2x}\}$ is linearly independent iff whenever there are scalars $a,b \in \mathbb{F}$ (where $\mathbb{F}$ is your underlying field) such that... | 5 | [
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-... | 23,726 | 23726 | |
find the numbers of boys
September 19th 2013, 03:26 AM #1
Newbie
Joined
Sep 2012
From
Pak SarzmeeN
Posts
17
The boys of a school can be arranged in 12 15 and 18 equal rows and also into a solid square. What is the least number of boys that school can have? (Hint find the lcm)
and the answer is 900... | 4 | [
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0.0361... | 23,727 | 23727 | |
Gravitational Radiation from Post-Newtonian Sources
and Inspiralling Compact Binaries
Abstract
1 Introduction
1.1 Gravitational-wave generation formalisms
1.2 Problem posed by compact binary systems
1.3 Post-Newtonian equations of motion and radiation
Part A: Post-Newtonian Sources
2 Einstein’s Field E... | 4 | [
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0.0712890625,
0.025146484375,
0.005... | 23,728 | 23728 | |
tangent lines
September 27th 2007, 10:42 PM
mer1988
tangent lines
For what values of a and b are y = a b^x and y = 1 + x tangent at x = 0.
how do i start this one??
September 28th 2007, 12:58 AM
ticbol
Let f(x) = y = a*b^x -------------(i)
And g(x) = y = 1 +x
If f(x) and g(x) are tangent at ... | 5 | [
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0.02587890625,
0.000431060791015625,
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Patent US5287529 - Method for estimating solutions to finite element equations by generating pyramid representations, multiplying to generate weight pyramids, and collapsing the weighted pyramids
The Government has rights in this invention pursuant to contract Number F-30602-89-C-0022 awarded by the Department of the A... | 4 | [
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... | 23,730 | 23730 | |
show encryption and decryption are identical
April 28th 2008, 07:54 AM #1
Member
Joined
Feb 2008
Posts
125
show that the encryption procedure C=P^e(mod n) and decryption procedure P=C^d(mod n) in RSA cryptosystem are identical when encryption is done using modular eponentiation with modulus n=35 and
e... | 5 | [
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0.0317... | 23,731 | 23731 | |
help finding foci
June 25th 2008, 01:04 PM #1
Newbie
Joined
May 2008
Posts
4
x^2+8y^2+6x-16x+1=0
x^2+6x+9 +8(y^2-2y+1)=-1+9+1=9
(x+3)^2/9 + 8(y-1)^2/9
h=-3
i am supposed to get sqrt 14 but i just dont see how. Can somebody please explain to me why it is supposed to be sqrt 14? Thank Yo... | 4 | [
0.027587890625,
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-0.0654296875... | 23,732 | 23732 | |
[SOLVED] Volume by integration not quite working out
April 13th 2009, 04:15 PM #1
Junior Member
Joined
Mar 2009
Posts
58
[SOLVED] Volume by integration not quite working out
Hi all, my first post to this fine forum. I've been studying (on my own) and I'm doing volumes by integration at the moment. I've j... | 5 | [
0.08349609375,
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0.039794921875,
0.01007080078125,
-0.053... | 23,733 | 23733 | |
Find derivative
August 1st 2012, 04:52 PM #1
Junior Member
Joined
Jul 2012
From
auckland
Posts
46
Find derivative
so i did these questions are they right ? the working and all ??
Find the dervative
θ= 3r+2/2r+3
dθ/dr= d/dr (3r+2)(2r+3)-(3r+2)d/dr(2r+3)/ (2r+3)^2
dθ/dr= 3(2... | 4 | [
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0.01043701171... | 23,734 | 23734 | |
f(x + h) -f(x)/h ......can someone please show me the steps and answer to this
Find f(x+h) - f(x) for f(x) = x (squared) +5x - 1 h
Hello, wayneo1688! I assume you're new to the Difference Quotient. Find $\frac{f(x+h) - f(x)}{h}$ . for . $f(x) \:= \:x^2 +5x - 1$ Don't let the Difference Quotient scare you. . . Break... | 4 | [
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0.0390625,
... | 23,735 | 23735 | |
Ordered pairs
October 27th 2005, 05:56 PM #1
Junior Member
Joined
Oct 2005
Posts
50
Last 3 questions for Professor Jameson
Lets see if you are a real professor or a simple lecturer... lol, just kidding
Let AxB be the set of ordered pairs (a,b) where a and b belong to the set of natural numbers N.
... | 4 | [
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-0.03125,
-0.0510253906... | 23,736 | 23736 | |
Having trouble with maddening Taylor Polynomials
November 9th 2007, 08:15 PM #1
Member
Joined
Sep 2007
Posts
94
Having trouble with maddening Taylor Polynomials
Here's the question:
Calculate the Taylor polynomial T1,n(x) for f(x) = ln x
a. How many decimal digits are guaranteed in approximati... | 5 | [
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-0.05834... | 23,737 | 23737 | |
Order - Math Genius
Answer
Move the frogs in the following order: 2, 4, 6, 5, 3, 1 (repeat these moves in the same order twice more), 2, 4, 6.
This is a solution in twenty-one moves—the fewest possible.
If n, the number of frogs, be even, we require ^(n²+n)/[2] moves, of which ^(n²-n)/[2] will be leaps and n simple m... | 5 | [
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0.015625,
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-0.044921... | 23,738 | 23738 | |
var/covar of Linear Lease Square estimates
April 29th 2010, 04:23 PM #1
var/covar of Linear Lease Square estimates
Goal: Find, $Var(\hat B_0)$ and $Covar(\hat B_1, \hat B_0)$
$($Note: $y_i = B_0 + x_i B_1 +e_i,$ with $e_i$ ~ $N(0,\sigma ^2)$ So, everything is fixed, but $e_i$ and $y_i.$ Now I found unbiased ... | 4 | [
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0.1494140625,
-0.001808166... | 23,739 | 23739 | |
an ODE question
February 14th 2010, 04:56 PM #1
Junior Member
Joined
Oct 2009
From
Aberystwyth, Wales
Posts
36
an ODE question
ok i have a question im really stuck on
$x^3\frac{dy}{dx} + 3x^2y = \frac{1}{x+2}$
for this i used the substitution u = x^3y and end up with $(x+2)\frac{du}{dx} + 3u... | 5 | [
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... | 23,740 | 23740 | |
Integrate sqrt(1 +a^2*x^2)dx
You want to do a trig substitution so that the square root term will disappear. Have you tried subbing tangent, secant, cotangent, or cosecant in for x?
Hello, j-lee00! Integrate: . $\int \sqrt{1 +a^2x^2}\,dx$ Let: $ax \:=\:\tan\theta\quad\Rightarrow\quad dx \:=\:\frac{1}{a}\sec^2\!\theta\... | 5 | [
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0.056396484375,
-0.0625,
... | 23,741 | 23741 | |
Complex number
October 27th 2012, 09:00 AM #1
Newbie
Joined
Oct 2009
Posts
24
Complex number
What is 3^(3+ i(8pi/ln3))
The answer is a number......
Work done so far
3^3 * 3^( i8pi/ln(3) ) = 27 * (3^ i8pi - 3^ln(3) ) = 27 *( 3^25.1i -3.34)
3^(3+ i25.1) - 90.26
I am not sure how... | 5 | [
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0.0458984375,
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Patent US4658323 - RMS calculation circuit for digital circuit interrupters
BACKGROUND OF THE INVENTION
A digital circuit interrupter capable of complete implementation by means of very large scale integrated circuit techniques is described within U.S. patent application Ser. No. 631,708 filed July 17,
1984 in the nam... | 4 | [
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-0.00640869140625,
0.02001953125,
0.0747... | 23,743 | 23743 | |
Patent US6968491 - Generating a check matrix for error correction
RELATED APPLICATIONS
This application is related to U.S. patent application Ser. No. 10/119,224, entitled “ERROR CORRECTION FOR DATA COMMUNICATION,” and U.S. patent application Ser. No. 10/119,223, entitled “TRANSMITTING
DATA IN A COMMUNICATION NETWORK,... | 4 | [
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0.044677734375,
0.05761... | 23,744 | 23744 | |
Drawing Dynamical and Parameters Planes of Iterative Families and Methods
The Scientific World Journal
Volume 2013 (2013), Article ID 780153, 11 pages
http://dx.doi.org/10.1155/2013/780153
Research Article
Drawing Dynamical and Parameters Planes of Iterative Families and Methods
^1Instituto de Telecomunicaciones y A... | 4 | [
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-0.0712... | 23,745 | 23745 | |
Urgent: Vectors
November 19th 2005, 01:47 AM #1
Member
Joined
Jul 2005
Posts
187
Urgent: Vectors
Find the value of parameter m that vector p->=ma->+17b-> and vector q->=3a->-b-> would be across if |a->|=2 and |b->|5 and the angle between a-> and b-> is 120 degree.
The math book shows that the answe... | 4 | [
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0.1142578125,
-0.051513671875,
-0.0032... | 23,746 | 23746 | |
Patent US6864897 - Analysis, synthesis and control of data signals with temporal textures using a linear dynamic system
FIELD OF THE INVENTION
This invention relates generally to processing data signals, and more particularly to synthetically generating and controlling temporal textures signals.
BACKGROUND OF THE INV... | 4 | [
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... | 23,747 | 23747 | |
Solving Coupled System of ODEs in MATLAB
1. The problem statement, all variables and given/known data
I am asked to solve a coupled system of 5 ODEs. There is also a function, f, which describes the release of carbon dioxide over time. I am given the release rates at certain values of t and asked to
interpolate for ot... | 4 | [
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0.019042968... | 23,748 | 23748 | |
Economical Feasibility of Utilizing Photovoltaics for Water Pumping in Saudi Arabia
International Journal of Photoenergy
Volume 2012 (2012), Article ID 542416, 9 pages
http://dx.doi.org/10.1155/2012/542416
Research Article
Economical Feasibility of Utilizing Photovoltaics for Water Pumping in Saudi Arabia
^1Departme... | 4 | [
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-0.01214599609375... | 23,749 | 23749 | |
First and Second Derivatives
Register to reply
by mmajames
Tags: derivatives
P: 12 1. The problem statement, all variables and given/known data
Just trying to find the first and second derivatives.
... | 5 | [
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0.00469970703125,
-0.054931640625,
0.0654296875,
0.028564453125,
0.011657... | 23,750 | 23750 | |
Newtons Square root method
1. The problem statement, all variables and given/known data
Let e be the number close to sqrt(a) by Newtons Method (That is picking a number, diving a by it, and taking their average, divide a by average, get a number, find their average, so on). Using |e
<sqrt(a)+e|
prove that if |a/e-e|<1... | 4 | [
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-0.02197265625,
-0.012878417968... | 23,751 | 23751 | |
Series/Convegence tests! need help on review problems for test!
October 29th 2007, 09:34 PM #1
Junior Member
Joined
Sep 2007
Posts
51
Series/Convegence tests! need help on review problems for test!
1. A certain ball has the property that each time it falls from a height h onto a hard, level surface, it r... | 5 | [
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-0.0206298828125,
0.01611328125,
-0.0854... | 23,752 | 23752 | |
Growth of the "cube of square root" function
up vote 11 down vote favorite
1
Hello all, this question is a variant (and probably a more difficult one) of a (promptly answered ) question that I asked here, at Is it true that all the "irrational power" functions are almost
polynomial ?.
For $n\geq 1$, let $f(n)$ denote... | 5 | [
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0.03686523... | 23,753 | 23753 | |
Impossible Question: Maritime Freight
AlephZero
The geometrical proportions of the sled (the ratio of the height of the CG above the deck and its length) affect the answer as well as the size of the sideways acceleration. Call the length L and the
height of the CG position H. Call the weight of the sled W.
The forc... | 4 | [
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... | 23,754 | 23754 | |
Estimation of Distribution Overlap of Urn Models
Corrections
22 Jan 2014: (2014) Correction: Estimation of Distribution Overlap of Urn Models. PLoS ONE 9(1): 10.1371/annotation/cd4610af-3595-4ea2-9409-71770712f2a9. doi: 10.1371/annotation/
cd4610af-3595-4ea2-9409-71770712f2a9 | View correction
Abstract
A classical p... | 4 | [
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Hermite polynomials and Schwartz space
1. The problem statement, all variables and given/known data
I'm supposed to show that the Hermite Polynomials are in Schwartz space
[itex]h_n = \frac{1}{\sqrt{n!}}(A^{\dagger})^n h_0[/itex]
where
[itex]A^{\dagger} = \frac{1}{\sqrt{2}}(-\frac{d}{dx} + x)[/itex]
and
[itex]h_0 ... | 4 | [
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Universally measurable sets and weak topology
up vote 7 down vote favorite
1
After I posted this question, a couple of months ago, and got from MO-users several good hints, I think i'm ready, after some study, to ask another related question (or rather, to focus on the main
point of my previous question, after I got ... | 4 | [
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Linear Differential Equation of Second Order
1. The problem statement, all variables and given/known data
I have the equation mx'' + cx' + kx = 0
where m = 2, c = 12, k = 50, x[0] = 0, x'(0) = -8. x is a function of t, and primes denote derivatives w.r.t. t.
2. Relevant equations
3. The attempt at a solution
so ... | 5 | [
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0.02... | 23,758 | 23758 | |
Poisson Distribution
February 7th 2009, 03:22 PM
eigenvector11
Poisson Distribution
Given a random sample of size n from a Poisson distribution, lambda hat_1 = X_1 and lambda hat_2 = Xbar are two unbiased estimators for lambda. Calculate the relative efficiency of lambda hat_1
to lambda hat_2.
I know th... | 4 | [
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[Haskell-cafe] Proof of induction case of simple foldl identity.
Dean Herington heringtonlacey at mindspring.com
Sat Mar 14 17:22:55 EDT 2009
At 8:45 PM +0000 3/14/09, R J wrote:
>Can someone provide the induction-case proof of the following identity:
>
> foldl (-) ((-) x y) ys = (foldl (-) x ys) - y
>
>If foldl i... | 4 | [
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search results
Expand all Collapse all Results 1 - 5 of 5
1. CMB Online first
Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems
We give a short proof of the Brascamp-Lieb theorem, which asserts that a certain general form of Young's convolution inequality is saturated by Gaussian functions. ... | 4 | [
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... | 23,761 | 23761 | |
converting rectangular equations into polar form
rectangular equation : x^2 - y^2 = 4 use the double angle forumla i have no idea what to do?
Hello tomatoesUsing $x = r\cos\theta, y = r\sin\theta$, we get: $r^2\cos^2\theta - r^2\sin^2\theta = 4$ $\Rightarrow r^2(\cos^2\theta - \sin^2\theta) = 4$ But, using the double-... | 4 | [
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0.022216796875,
0.0218505859375,
-0.... | 23,762 | 23762 | |
Meaning of div and curl
brianparks
Thanks Tom for the excellent reply. Given your description, I can see how these operators would be useful in the analysis of electromagnetic phenomena.
You're welcome.
You seem to be pretty good at offering simple introductory explanations of concepts. Would you mind giving a simil... | 4 | [
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0.034... | 23,763 | 23763 | |
Second Order DE
October 31st 2009, 05:20 PM #1
Newbie
Joined
Jul 2008
Posts
6
Second Order DE
I'm having trouble trying to solve the differential equation $y^{(2)} + (\frac{1}{4t^2})y=f cos(t), t>0$ given that $y_{1}=\sqrt{t}$ is a solution of the homogeneous equation. I have been trying
to solve thi... | 5 | [
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-... | 23,764 | 23764 | |
What happens in the restframe with lightsource?
ghwellsjr
Are you looking at the current English version of the wikipedia.org article on Time Dilation? I cannot see much of what you say you are seeing.
I don't see any mention of the word "photon" in the article and I don't see any mention of the expression cΔt'. Te... | 5 | [
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-0.022094726... | 23,765 | 23765 | |
Constraints on Chiral superfield
Suppose we have a superfield [itex]\Phi(x,\theta,\bar{\theta})[/itex] this can be expanded in component fields in the standard way as:
[itex] \Phi(x,\theta,\bar{\theta})= c(x) + \theta \psi(x) + \bar{\theta} \bar{ζ}(x) + \theta^{2} F(x) + \bar{\theta}^{2} Z(x) + \theta \sigma^{\mu} \bar... | 4 | [
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-... | 23,766 | 23766 | |
Speed of skydiver
March 19th 2011, 07:29 PM
chengbin
Speed of skydiver
Hi. I have trouble integrating the following problem.
The equation is basically $m\frac{dv}{dt} = mg - kv^2$ with the condition when t = 0, v = 50m/s
I know this is a separable DE, so rearranaging it becomes
$\int \frac{mdv}{mg... | 5 | [
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linear differential operators
February 21st 2013, 11:39 AM
likelylad
Exponential input theorem
Hello, I am puzzled about this operation (1) with polynomials in a general proof of Exponential input theorem and I don't understand the the concept of a being s-fold zero.
p(D) = q(D)(D - a)^s
q(a) = nonzero
... | 4 | [
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0.055908203125,... | 23,768 | 23768 | |
Domain and range
March 27th 2012, 11:12 PM #1
Newbie
Joined
Mar 2012
From
China
Posts
17
Domain and range
Hi.
Two questions.
1: f(m) = -2 / (-3+9m)
i got a domain (-infinity, 0.33) U (0.33, infinity) and range (-infinity, 0) U (0, inifinity). correct?
2: f(w) = 7 / ( -2 + |w| )
... | 4 | [
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Column buckling answer confirmation
Attachment 42439
What is the minimum length of the column at which buckling is likely to occur?
The buckling equation is: F= ((∏^2)*E*I)/(K*L)^2
E is the modulus, I is the area moment of inertia, K is the buckling coefficient, and L is the length of the column.
the mass moment o... | 5 | [
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... | 23,770 | 23770 | |
Linear Alegebra linear equations proofs
January 13th 2010, 05:58 AM #1
Newbie
Joined
Jan 2010
Posts
1
Linear Alegebra linear equations proofs
Prove the following:
A system of linear equations
Ax = b with m < n either has no solution or has several different solutions.
A system of l... | 4 | [
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4 Poisson Models in Stata
This unit illustrates the use of Poisson regression for modeling count data. We will be using the poisson command, often followed by estat gof to compute the model's deviance, which we can use as a
goodness of fit test with both individual and grouped data.
An alternative way to fit these mo... | 5 | [
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Double integration to find the area of a bounded region
May 7th 2011, 09:00 PM
Glitch
Double integration to find the area of a bounded region
The question
Use double integration to find the area bounded by $y = x^3$ and $y = x^2$
My attempt
I know that finding the area of a bounded region is given ... | 5 | [
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Patent US5724270 - Wave-number-frequency adaptive beamforming
TECHNICAL FIELD OF THE INVENTION
This invention relates generally to sensor array signal processing, and more particularly to the process of adaptive beamforming using a reduced rank k-ω matrix approach.
BACKGROUND OF THE INVENTION
For linear arrays of hy... | 4 | [
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Numeral system
Occasionally the term "number system" is used for this concept, but that is also the name of an altogether different concept; see number system.
A numeral is a symbol or group of symbols that represents a number. Numerals differ from numbers just as words differ from the things they refer to. The s... | 4 | [
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... | 23,775 | 23775 | |
ompute
MidPoint algorithm (2)
What we'd like to do is to use this discriminating function to maintain our trajectory of drawn pixels as close as possible to the desired circle. Luckily, we can start with a point on the circle, (x
[0], y[0]+r) (or (0, r) in our adjusted coordinate system). As we move along in steps of ... | 4 | [
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Epsilon delta proofs
January 16th 2010, 03:10 AM #1
Epsilon delta proofs
I'm having trouble understanding this proof. I understand what the e-d definition is trying to say, and I understand the geometric argument, but... well, consider an example:
Prove that $\lim_{x \to 4} 4x-5 = 7$
So, we take the def... | 4 | [
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-0.04125976562... | 23,777 | 23777 | |
Proving Trig Identities
March 10th 2010, 05:27 PM #1
Newbie
Joined
Jan 2010
Posts
15
Help proving these identities
1.) tanX-tanY / 1+tanX = cotY-cotX / cotXcotY+1
2.) sin5X + Sin3X / sin5X-sin3X = tan4X / tanX
Hello orochimaru700
Can I suggest first that:
□ you should copy the q... | 4 | [
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Proof That Girls Are Evil!!!!
1. Re: Proof That Girls Are Evil!!!!
"headtrip" wrote:
"BBQ Platypus" wrote:
3. The area of this region is calculated by âËâ€*«âËâ€*ž,1(dy/y), which has the same area as the integral calculated in step 2.
The area above y=1 and to the right... | 4 | [
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-... | 23,779 | 23779 | |
Abstract algebra question
1. The problem statement, all variables and given/known data
Show that {1,2,3} under multiplication modulo 4 is not a group but that {1,2,3,4} under multiplication modulo 5 is a group
Alright, take, for example, Set {1,2,3,4,5} for modulo 6 and set {1,2,3,4,5,6} modulo 7.
A group meets 4 ba... | 4 | [
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0.02... | 23,780 | 23780 | |
Stats: What is a phi coefficient?
StATS: What is a phi coefficient?
The phi coefficient is a measure of the degree of association between two binary variables. This measure is similar to the correlation coefficient in its interpretation.
Two binary variables are considered positively associated if most of the data fa... | 4 | [
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-0.000057458... | 23,781 | 23781 | |
Substituting values and solving for an unknown
April 27th 2009, 11:35 AM
self_shattered
Substituting values and solving for an unknown
please give me a solution
i need to find the value of V in the following equation
(p+(a/V^2))*(V-b)=RT
where
P=9500KPa
R=.2968Kj/k/kg
T=175 K
a=27R^2*... | 4 | [
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0.0595703125,
-0.006622314453125,
0.008544921875,
-0.0... | 23,782 | 23782 | |
a question involving the determinant...
April 5th 2013, 02:51 PM
mathlover700
a question involving the determinant...
given: A =
|a b c|
|d e f| det(A) = 5
|g h i|
B =
|a u c|
|d v f| det(B) = -3
|g w i|
FIND:
|-3a c 2b - u|
|-3d f 2e - v|
|-3g i 2h - w|
-it's p... | 5 | [
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Patente US7422562 - Real-time measurement of ventricular stroke volume variations by continuous arterial pulse contour analysis
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a continuation-in-part of, claims priority of, and incorporates by reference U.S. patent application Ser. No. 10/728,705, filed 5 D... | 4 | [
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0.01422119140625,... | 23,784 | 23784 | |
Determining Subfields
October 12th 2010, 04:12 AM
demode
Determining Subfields
(a) Determine all subfields of $\mathbb{Q}(\sqrt{7})$. (b) Prove that $\mathbb{Q}(\sqrt{5}) cong \mathbb{Q}(\sqrt{-3})$.
Attempt:
For the first part I think $\mathbb{Q} (\sqrt{7})= \{ a+b\sqrt{7} ; a,b \in \mathbb{Q} \}$. So,... | 5 | [
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-0.00058746337890625... | 23,785 | 23785 | |
Category theory/Natural transformation
From HaskellWiki
1 Example:
map even $ maybeToList $ Just 5
yields the same as
maybeToList $ fmap even $ Just 5
yields: both yield
1.1 Commutative diagram
• Let $\mathcal C$, $\mathcal D$ denote categories.
• Let $\Phi, \Psi : \mathcal C \to \mathcal D$ be functors.
... | 4 | [
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Limit of polynimials
April 3rd 2012, 06:10 PM
Kingdu8457
Limit of polynimials
If f and g and polynomials and lim(x approaches infinity) of [f(x)/g(x)] = L, L not 0, show that f and g are of the same degree.
I just can't get this one!
April 3rd 2012, 06:41 PM
Prove It
Re: Limit of polynimials
If f(x)... | 4 | [
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-0.021362304687... | 23,787 | 23787 | |
Isoc.html
The above applet graphs two segments with a common vertex, and then shows the locus of points such that the segments subtend congruent angles ζ (defined by the blue segments) and ψ (defined by the
green segments). It turns out that, in general, the curve is shaped like a Greek letter φ. Strangely, on the red ... | 4 | [
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Patent USRE42534 - Bicubic surface real-time tesselation unit
CROSS-REFERENCE TO RELATED APPLICATIONS
The present invention is a continuation of U.S. application Ser. No. 10/732,398, now U.S. Pat. No. 7,245,299, entitled “Bicubic Surface Real-Time Tesselation Unit”, (1935CIP2) filed Dec. 9, 2003,
issued on Jul. 17, 20... | 4 | [
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-... | 23,789 | 23789 | |
Ball in cone issue
bahamagreen
tan(x) = r/(h-r)
Why? The point where circle and the tilted surface meet (what your denominator should be) is closer to the apex than the center of the ball (your denominator here).
You need the sine:
sin(x) = r/(h-r)
Solve for h: ##h=r+\frac{r}{\sin(x)}##
Plug this into tan(x) = ... | 4 | [
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0.008... | 23,790 | 23790 | |
Two small things with Complex Numbers
September 27th 2009, 06:24 AM #1
Newbie
Joined
Sep 2009
Posts
19
1)
I got:
$z=2+2i$ and I have to find the polar representation of z. Them find $z^4$ and $x+iy$ (when it's polar)...
My bid:
$w=rCos+i rSin$ to find the polar representation... right? So... | 5 | [
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Quick question about finite area / infinite area
April 20th 2008, 02:24 PM
larson
Quick question about finite area / infinite area
Here's a question I have...
Let S be the region between the graphs $y = \frac {1}{x}$ and $y = \frac {1}{\sqrt {x}}$ between x = 0 and x = 1. Does S have finite area? Justify yo... | 4 | [
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Patent US4954837 - Terrain aided passive range estimation
This invention was made with U.S. government support under Contract No. F-3060-2-88-C-022. The U.S. government has certain rights in this invention.
BACKGROUND OF THE INVENTION
There are many applications where it is critical for a groundbased or airborne plat... | 4 | [
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Different infinities problem
sludger13
Because there exists such an arrangement of matter that creates a statue of unicorn, or a movie with moving unicorn, or a brain structure that can somehow imagine unicorn. The concept of unicorn is
real because there exists an arrangement of matter that we can define as unicorn... | 4 | [
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MOCP 1997-1998 Problem Set 6
Problem Set 6
31. Find all continuous functions f: R ®R such that
for every
x
,
y
Î
R
.
32. Let n ³ 3 be a natural number. Prove that
33. Let n ³ 3 be a positive integer. Are there n posit... | 5 | [
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-0.050048828125... | 23,795 | 23795 | |
Congruences
May 7th 2009, 06:13 AM
ShootTheBullet
Congruences
Hi, I'm looking for any help towards showing the following:
given a and m are coprime, prove that ax $\equiv$ b (mod m) has a unique solution mod m.
Any help would be much appreciated, and thank you for your time.
May 7th 2009, 06:25 AM
Ga... | 5 | [
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0.0177001953125,
-0.04638... | 23,796 | 23796 | |
Integration without Trig Sub
July 11th 2009, 06:26 AM #1
Junior Member
Joined
Jul 2009
Posts
37
How would I work the integral:
x^3 * sqrt(x^2 -9) dx
without using trig substitution? My professor said that it is a way, but I don't see it!
THanks!
AH! Never thought of that! Thank you!
Ho... | 5 | [
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Contribution to the Modelling of the Tribological Surface Transformations
ISRN Tribology
Volume 2013 (2013), Article ID 254705, 6 pages
http://dx.doi.org/10.5402/2013/254705
Research Article
Contribution to the Modelling of the Tribological Surface Transformations
^1Laboratoire de Mécanique et d'Acoustique, UPR CNRS... | 4 | [
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tough integral?
for this tough integral we'll use the following substitution: $\begin{gathered}<br /> t = \frac{1}<br /> {{1 + x^4 }} \hfill \\<br /> \hfill \\<br /> dt = \frac{{ - 4x^3 }}<br /> {{\left( {1 + x^4 }
\right)^2 }}dx \hfill \\ <br /> \end{gathered}$ $<br /> \int\limits_0^1 { - t^{2006} \left[ {1 + \left( {... | 5 | [
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