Any two dimensional state can be written as:
|\phi\rangle=\cos\frac{\theta}{2}|0\rangle+e^{i\phi}\sin\frac{\theta}{2}|1\rangle
where 0\leq\theta\leq\pi and 0\leq\phi\leq 2\pi, and 0\leq\theta\leq\pi. To pick one such state uniformly at random it suffices to draw \phi at random from its...
Picture of the problem:
Relevant equations are the ones used to find the reactions at the supports (moment about points, forces in the x and y) and the ones used to determine the centroid.
I'm having a hard time finding a. I found the moment of area for each triangle, with the origin at A...
I have a partial linearly distributed load on a cantilever and would to determine the bending moment distribution along the beam.
I usually do this by taking cuts along different sections of the beam and finding the expressions for shear force and bending moment. However when I do this...
I have a practical application which relies upon the generation of evenly distributed points on a sphere.
When I first considered this problem, I learned that some number of polyhedrons (Platonic polyhedrons) had each vertex lying evenly spaced from the others within the surface of a sphere...
Homework Statement
The following data is hypothesized to possesses a normal distribution, is that hypothesis sustained by a Chi-square test at .05 significance:
<66...4
67-68...24
68-70...35
70-72...15
72-74...8
>74...4
The Attempt at a Solution
1. I know that I should...
If you have a beam with a force q evenly distributed on top of it, would this
ƩMA= 0 B*3,3-Cy*5,5-q*4,3*2,15=0
or this
ƩMA=0 B*3,3-Cy*5,5-q*4,3*2,15*3,35=0
be the right way to set up the moment point calculations? Basically what I'm unsure of is if I must incorporate the distance...
Here is the question:
Here is a link to the question:
Help With A Statistics Problem! 10 Points!? - Yahoo! Answers
I have posted a link there to this topic so that the OP may find my response.
Homework Statement
I'm having some difficulty deriving the equation for a concentration of CO2 as a function of length and time. Ultimately I end up with an equation that includes the summation of two error function terms that appear to have incorrect signs.
Given:
A cylinder of...
Faraday says that a variation of magnetic flux generates an induced emf distributed by the material, which creates eddy currents. I want to know and understand what this "distributed" means. Do we have a constant potential difference between every 2 points of the object? (is this possible?)
Hello, and sorry for my English, as I am Norwegian.
I have a statics problem which I can not understand.
I've taken a pic from my book:
The problem asks me to find the largest bending stress, σb, in the incisions 1 and 2.
I have the solution in front of me, I just don't understand...
According to my book(mechanics of materials) the definition for concentrated load is when the area of contact of one body is small in comparison to the total area of the other body. So, small area in contact with big area equals concentrated load, but was watching an example on you tube that...
Hi PF,
I have a device (with a microcontroller) which generates random numbers. when I analyzed those numbers using Matlab software I found that it is following a uniform distribution. How can I mathematically (any algorithm?) convert this random output to a gaussian one. Also I would...
Homework Statement
Determine the forces of reaction.Homework Equations
SUM of Y forces=0
SUM OF FORCES ABOUT POINT B = 0
The Attempt at a Solution
My attempt is in the link, I scanned the diagram along with my work.
Thanks for the feedback, appreciated.
http://imgur.com/i3cB2 <-----
Link
Homework Statement
A point is uniformly distributed within the disk of radius 1.
That is, its density is f(x,y) = C
For 0 ≤ x2 + y2 ≤ 1
Find the probability that its distance from the origin is less than x, 0 ≤ x ≤ 1.
[Note] My book says that the answer is supposed to be x2.
2. The attempt...
Hello,
I am designing a wireless energy transfer system and would like a formula to calculate the distributed capacitance in a circular coil of N turns. Any kind of assistance is really appreciated.
Homework Statement
Consider three random variables X, Y, and Z. Suppose that:
Y takes on k values y_{1}... y_{k}
X takes on l values x_{1}... x_{l}
Z takes on m values z_{1}... z_{m}
The joint probability distribution of X, Y, and Z is Pr(X=x, Y=y, Z=z), and the conditional probability...
This is not a homework problem but is rather something I'm curious about. I apologize if the answer is very simple, but I am having trouble coming up with an absolute and strict proof.
* X is a discrete random variable that is symmetrically distributed about 0. Hence, E(X) = 0
* Why is E(X^3) =...
If you were to take a panoramic view of the sky, would the amount of electromagnetic radiation and matter/dark matter be relatively evenly distributed? Or is their a section/ sections in the sky that appear to be significantly more densely populated?
I need to create a system using heterogeneous database.
I must use at least 4 different database.
My choice would be MySQL, MS SQL Server, Oracle and PostgreSQL
since these are among the most popular and matured database
or if you have any database that is more suitable please tell me...
Mentor's note (not V50's, by the way): this thread was split from the following thread in Academic Guidance:
https://www.physicsforums.com/showthread.php?t=609418
-----------------------------------------------------------------------------------------
This is the same argument as "Dressed...
1) (1 pt) The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with μ=71 and σ= 8.5 grams per mililiter...
I was looking to a video about cumulative distribution function () and he show the following function: \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | 1/4, 0 \leq x \leq1 \\
f(x) =<(x^3)/5, 1 \leq x \leq 2 \\
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |0, otherwise.
At minute 8:45, he presents the cumulative...
I attended a lecture on DP yesterday, and learned some new things that I thought I'd share. If anyone has something to add on this topic, then please post.
DR is when you install a generator at its point of use, like perhaps a 20 MW unit at a hospital or hotel.
Payback is often as short...
Homework Statement
I need to find the distributed spring work over a beam connected to a ceiling. The position on any point on the beam is given by Z = h + σ*(x-x_ea). The spring constant is K. This is a wing model, where h is the plunge, alpha is the pitch, and x is a position on the chord...
Homework Statement
An image of the assigned problem is here: http://imgur.com/aYkaM
Homework Equations
The formula for being exponential, gamma, and probably Bayes's Law. They'd take a while to type out, and presumably anyone who can help me with this already knows the formulas or...
Homework Statement
The question is about how to combine to different samples done with 2 different methods of the same phenomena.
Method 1 gives normally distributed variables X_1,X_2,...X_{n_1}, with \mu and \sigma^2_1
Method 1 gives normally distributed variables Y_1,Y_2,...,Y_{n_2}...
Homework Statement
I have a bumper and I am trying to determine whether or not the rectangular tubing I am using to build it is strong enough to withstand a given load (rear end collision).
The horizontal member is 4x3x.1875 tubing (4" base, 3" high, 95" long). Two 3x3x.1975 tubes are used as...
Conditional probability & "r balls randomly distributed in n cells"
Homework Statement
I'm posting this in hope that someone can give me a correct interpretation of the following problem (problem V.8 of Feller's Introduction to probability theory and its applications VOL I):
8. Seven balls...
Question from Jim on Yahoo Answers:
The things you should know are:
1. The sum of normal random variables is a normal random variable with mean equal to the sum of the means and variance equal to the sum of the variances.
2. Multiplying a normal RV by a constant gives a normal RV with mean...
I hope I wrote that correctly but I'm trying to find the joint. I heard it was impossible from someone.
X = A/R
A~BIN(n1, p1)
R~BIN(n2, p2)
I know I shouldn't be using the Jacobian method for Discrete distributions but I have to do it anyway.
Anyone know?
Hi.
Any ideas how to generate in any software R, Matlab etc normally distributed random numbers by one condition so they will be integers like 1, 2,3...and not decimal values.
I tried to round up the generated decimal values but in my guess normality is doubted after that.
Regards
So in the case of a spherical conductor, if we have charge distributed over it the electric field inside will ALWAYS be zero. Even when we place a charge near the sphere the field inside is zero right?
And if we have a spherical insulator and we uniformly distribute the charge, the electric...
Hi
I am testing that data are normally distributed by using chi-square test.
I get a very high chi coefficient about 173.
This is very strange because data fits at 3sigma test and median mode are equal so I am almost sure that is normal distribution.
What I am doing wrong?
Which test do you...
Homework Statement
Lets say we have some data which we using the method of the least squares regression can express a linear regression model.
I would like to know if this data generelly will be normal-distributed if it can be expressed by a linear regession model? and if so any way to...
Homework Statement
A Normally distributed random variable with mean μ has a probability
density function given by
_ρ_...*...((-ρ2(x-μ)2)/2δ)
√2∏δ|...e^
Homework Equations
Its standard deviation is given by: A)ρ2/δ B)δ/ρ C)√δ|/ρ D)ρ/√δ| E)√δ|/2ρ
The Attempt at a Solution...
Hi guys,
I need to find the moment generating function for X ~ N (0,1) and then also the MGF for X2 . I know how to do the first part but I'm unsure for X2.
do i use the identity that if Y = aX then
MY(t) = E(eY(t)) = E(e(t)aX)
or do i just square 2pi-1/2e x2/2 and then solve as...
Hi there,
Parallel distributed loads are throwing me off a little at the moment. Is the resultant worked out the same way as for those with distributed loads perpendicular to a beam??
Picture included.
Thanks in advance
Hi all,
I am currently doing my Final Year Project on the topic of Optimal Placement of Suicide Bomber Detectors.
Given 2 dependent bomb detectors, I am trying to prove that the probability of detection in the intersected area will be larger than the individually covered areas, by working...
hi there,
I'm getting very very confused about distributed loads.
I am trying to figure out the resultant force of a distributed load on a beam. The function I've been given for q(x) is a polynomial (below x=0).
I have figured out the resultant for my function q(x)=x2-2x-4. I believe...
Registered events X in time interval t are distributed linearly n = n0 + bt. Find probability density function, then t = 10, n0 = 5 and b =2. Find average amount of registered events per day and Mean squared error. Find the probability to register an event per 5th and 6th days. What is the...
Homework Statement
The top-selling Red and Voss tire is rated 60000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 70000 miles and a standard deviation of 5000 miles.
A: What is the probability that...
1. A 200N ladder is being carried by two men. The ladder is 12m; one man standing at the end, and the other 2m from the other end. Find the forces exerted by each man,
2. Moment of force = Force * Perpendicular distance from force
3. Man at end; 6*200
Other man 2m from other end...
Homework Statement
Xi ~ U(80,120)
find the E[X1+X2+...+Xn]=?
Homework Equations
The Attempt at a Solution
Why can't I do this?:
E[X1+X2+...+Xn]=n*E[X1]
and just find the expected value?
Is that because the distribution changes as we increase the number of elements of...
Homework Statement
Suppose I have a set of measurements of a quantity Q, where the resolution R is the same for all data di. However, R is unknown, and I wish to find it.
In my book they do this by writing the likelihood L (or rather, ln(L)) as the Gaussian, so
\ln L = \sum\limits_i {...
Homework Statement
Hello
If my data errors are normally distributed, is this the same as the data being normally distributed? I mean, by "normally distributed data errors" is meant that with 68% confidence the data lies within the true value?
Hi all,
I'm considering a problem of a bunch of particles (say electrons) arriving on a plate. If the plate is orthogonal to the direction of motion of the particles their distribution (on the plate) is a gaussian distribution centered in a point (x,y) of the plate with standard deviation...
Hi Guys,
I'm having real difficulty trying to understand shear force and bending moment diagrams - both cantilever beams and supported ones like below. I've given it my best shot to solve the reactions at the points and would greatly appreciate any help on how to form the diagram and the...