I have a cluster of voxels and a 2nd order stress tensor corresponding to each voxel. I was wondering as to what would be the best method to calculate an average stress tensor for the cluster as a whole? Any constructive inputs would be greatly appreciated.
In its broadest sense, quantum entanglement means that two 'particles' separated by distance, and moving away from one another, behave as if they are next to one another.
In a mental experiment, you can imagine what the world might look like to these two particles as they zoom away from one...
Simply put, can you find the function which extremizes the integral
J[f]=\iint L\left(x,y,f(x),f(y),f'(x),f'(y)\right) \,dx \,dy
Where ##f## is the function to be extremized, and ##x## and ##y## are independent variables? A result seems possible by using the usual calculus of variation...
I have some confusion about multiple scattering.
We always say that the problem of single scattering is always deterministic in nature.But while modeling the problem of multiple scattering, we take that the problem is stochastic in nature. I don't understand why. Why multiple...
Whats up guys ! currently studying for calculas exam and could use someone going over my answers !
Homework Statement
Q1. Calculate the taylor polynomial of degree 5 centred 0 for f(x) = e-x. Simply coeffcients and use the error formula to estimate the error when p5(0.1)
Q.2 Q1...
Diagram: http://gyazo.com/0b719e6d399ad894d2c48ce06d994672Homework Statement
In the figure the resistances are R1 = 0.77 Ω and R2 = 1.8 Ω, and the ideal batteries have emfs ε1 = 2.1 V, and ε2 = ε3 = 3.5 V. What are the (a) current (in A) in battery 1, (b) the current (in A) in battery 2 and (c)...
Homework Statement
In the previous few modules you studied the problem of minimizing ##\| Ax -b \|_{2}## by choice of ##x##. So
far you've done this in Matlab using either the backslash operator or the command pinv. Now
that you've been exposed to linear programming, you have the tools to solve...
Obviously it will take some brute-force. But how do I minimize the brute-force needed (optimize)? I know one can solve Diophantine equations and quadratic Diophantine equations. But what if I have something like 10 (any number) of variables?
(what if there are no squares, what if there are...
Hi there
I have found an algorithm within the literature that is known as multiple birth and cut.
It is in a word fantastic! It seems like it has the potential to solve a problem I have been fighting with.
I have been tasked with detecting nuclei in histopathology images and so far the...
Homework Statement
Find the pH of 0.02025 M tartaric acid using the method of multiple equilibria given that its Ka1 value is 9.2*10-4 and its Ka2 value is 4.31*10-5.
Homework Equations
Kaoverall = Ka1 * Ka2
The Attempt at a Solution
Please check the Word document.
Is my method...
Homework Statement
Homework Equations
The Attempt at a Solution
## α = v\frac{dv}{ds} ## and K is the kinetic energy .
In all the four cases ## α = v\frac{dv}{ds} = mgsinθ ## where θ is the angle which the normal to the body makes with the vertical .
Fig 1) K...
I am not a student. I am a retired Chemical Engineer and a retired IT Auditor (ex-ISACA member). My questions are a product of my thoughts about Physics and the Cosmos and my talks with a closer friend. Please answer me.
Imagine an atom in a position P in the Universe and n observers, all them...
Hi,
I finished my M.S. in Astronautical Engineering in 2010, B.S. in Aerospace Engineering in 2009 with a minor in physics, and am finding that the work I have been doing in the aerospace industry for the past 4 years is unfulfilling.
I would like to focus on something more research...
Hi,
I was wondering if anyone familiar with excel on a mac can help me? Am i able to do polynomial regression with different x's who contain different amounts of elements? I have three columns, one contains 252 elements, another contains 53, and the last contains 12. They are all closing...
Hey!
I'm working with some regression related stuff at the moment and i'd need some help with multiple variable prediction interval. Prediction interval for a single variable can be calculated using
PI = \hat{\beta_0}+\hat{\beta_1}x_i \pm t^* s_e \sqrt{1+\frac{1}{n} +...
Hi,
I would like to score an item. The item has around 10 parameter. Each parameter is depics how it reacts to each tests. Some parameters are just Yes or No. Few other parameters give the percentage of their performance in that particular test. And the remaining are scores.
I want to...
The situation I am considering is that of a single photon directed at a target (say a photographic plate). My understanding is that the wave function for this system (determined by the whole context of the experiment: photon properties, nature of the target, boundary conditions etc.) gives a...
I am looking at the same object with two detectors. The SNR on each is 2, which is a low probability of detect given a single sensor. However, if I fuse the two what would be the SNR then? Would it be additive (SNR=4) or rss (SNR=2×sqrt(2)) or something more complicated?
Homework Statement
Using Lagrange multipliers, find the max and the min values of f:
f(x,y,z) = x^2 +2y^2+3x^2
Constraints:
x + y + z =1
x - y + 2z = 2Homework Equations
∇f(x) = λ∇g(x) + μ∇h(x)The Attempt at a Solution
Using Lagrange multipliers, I obtained the equations:
2x = λ + μ
4y =...
Hi all,
I came across the term placement, and presentment and the likes. I was wondering what they may mean in physics. I tried a search but the answers were not very clear. I was also wondering what action means in physics.
Any answers will be appreciated. Thanks
Please excuse the usual rambling preamble (or should that be pre-ramble?), but last year, when idly searching on-line, I happened to chance upon a truly great, great paper by Shin-ya Koyama and Nobushige Kurokawa, concerning the "Multiple Sine function", $$\mathscr{S}_n(x)$$. The (free) paper in...
I'm working with matrices, so maybe this should be in the calc and beyond, but my problem is with the algebra (-.-)
I've reduced my matrix to this:
##(b-a)(c-a)\left | \begin{array}{cccc}
1 & (b-a)^{-1} & (c-a)^{-1} & 1 \\
0 & 1 & 1 & (d-a) \\
0 & 0 & (c+a) - (b+a) & (d^2- a^2) - (b +...
Homework Statement
The problem (and its solution) are attached in TheProblemAndSolution.jpg. Specifically, I am referring to problem (c).
Homework Equations
Set theory.
Union.
Integers.
Prime numbers.
The Attempt at a Solution
I see how we have all multiples of all prime numbers in...
Homework Statement
∫(1+cos(x))/sin(x) dx
This is a multiple choice with the following options
a. Ln|1-cos(x)| +C
b. Ln|1+cos(x)| +C
c. sin(x) +C
d. csc(x)+tan(x) + C
e. csc(x) +cot(x) +C
Homework Equations
The Attempt at a Solution
∫(1+cos(x))/sinx dx )...
This question specifically relates to a numerator of '1'. So if I had the irrational number √75:
1/(x*√75)
Could I have some irrational non-transindental value x that would yield a non '1', positive integer while the x value is also less than 1/√75?
Caviat being x also can't just be a division...
A quiz has 4 questions with 3 choices for each answer.
If you guess every answer, in how many different ways can you complete this test?__________
How many students must take this test to guarantee that at least 3 identical answer sheets
are submitted?__________
I know how that the answer to...
Homework Statement
if z = x2 + 2y2 , x = r cos θ , y = r sin θ , find the partial derivative
[SIZE="4"]\left(\frac{\partial z}{\partial \theta}\right)_{x}
Homework Equations
z = x2 + 2y2
x = r cos θ
y = r sin θ
The Attempt at a Solution
The textbook says that the equation...
Hi
Let's look at this:
The issue I am having is that while I know that this is accurate:
I just cannot wrap my head around why. I1 is a result of both voltage sources. So, while the equations clearly tell me that the voltage drop across the resistor R1 is I1R1, I cannot wrap my...
Hello,
I have a polynomial of order n and I want to find all it's roots with bisection method. Is it possible? I already wrote an algorithm to find a root and it's works nice for finding one of it's roots, but what about others?
Nikola
I am currently working on a C++ program for school. I am actually not finding too much difficulty in constructing the functions, enum-types, arrays and structs, however, I am finding great difficulty in using on ifstream variable to open multiple files.
I have posted the entire code that I...
Data analysis -- Comparing temperature data from multiple sources
Dear Peter,
I am Engineering student from Japan.I have installed 8 sensors,4 at rural and 4 at urban area.Those sensors measures the temperature and other property in time series format.Now, I am using one month data and...
Dear all,
I am currently completing a water engineering subject at university as part of my civil engineering studies. For this subject (and probably others in future), I occasionally need to solve for an unknown value in a quadratic or cubic function, where there are three possible solutions...
Hello!
For Single Charge:
I studied the formula for electric potential for a point charge (V=kq/r). It was derived when the test charge approached the source charge from infinity "head-on". In this case the electric field due to source charge and displacement of test charge were vectors in...
Homework Statement
I'm given a recursive sequence with the following initial terms:
##\begin{matrix}
f_0(0)=1&&&f_1(0)=0\\
f_0(1)=2&&&f_1(1)=1
\end{matrix}##
Now, I'm asked to justify that we have the following recursive relations:
##\begin{cases}
f_0(n)=2f_0(n-1)+f_1(n-1)\\...
Homework Statement
This problem seems fine but has me stumped for some reason...
For the variables
u=x2−y2
v= x y
Under the condition u>0
We're simply asked to determine x(u,v) and y(u,v) so that we can eventually use them to solve a multiple integral by substitution. Homework Equations...
Does the quantum no-communication theorem apply to multiple particle entanglement as well? To illustrate the idea, suppose we had particles A, B and C with entangled spin. We measure A and B locally using, say, detector angle 0 for particle A and angle 45 for particle B. Particle C is measured...
Homework Statement
On the surface of Planet X, the gravitational acceleration is 2g. If the diameter of Planet X is 1/3 that of Earth's, what is the mass of Planet X, expressed as a multiple of Earth's mass?
Homework Equations
F=G\frac{m1m2}{r^2}
The Attempt at a Solution
let...
Hi,
I did a lot of googling and tried to search every forum I could, but I didn't quite found what I was looking for. Sorry if this has been asked before, english isn't my first language so there's a chance that I used wrong words to search for this question.
Also I'm not sure if you use...
Just a curious question.
How would the rate for a net reaction involving multiple steps of all similar (perhaps exact - i know it's highly unlikely) activation energies be calculated? I've been told to just look at the slowest step (highest EA) in all cases, even if they are similar in...
Suppose I write the following in my stylesheet
.class1
{
position: relative;
}
.class2
{
position: absolute;
bottom: 0px;
}
and then the following in my body
<div class="class1 class2">
</div>
Will that div take...
Hi. This is my first post so apologies if I do anything wrong.
I have a homework question.
*calculate the distance of the centre of gravity from support A for a framework containing 4 crates at 52kg per crate.
I'll describe the diagram:
A is on the far left. 3m from A are 2 crates stacked...
I am reading an article on wikipedia about ground state and it says -
The ground state of a quantum mechanical system is its lowest-energy state; the energy of the ground state is known as the zero-point energy of the system. An excited state is any state with energy greater than the...
Hi,
Are the multiverses that come up in some cosmological theories, e.g. inflation, in any way related to the worlds in the many-worlds interpretation?
I want to turn an axle or a wheel using multiple motors. With a single motor, sometimes the power is not enough. Is there any method to use two or more motors independently driving the same axle or wheel ? The idea is to have contributions from all the motors so that the axle or the wheel gets...
Hi there guys.
As the title implies I'm trying to draw a trajectory on the screen (yes, this is indeed about programing :P) involving multiple sources of gravity.
Here is my dilemma: Since I'm working with an update loop there would be no problem to just simulate an object and having it...
This dilemma seems to occurs all the time in so many different engineering problems. It seems impossible to optimise something with multiple parameters, for three reasons:
There are too many possible combinations of these parameters to be able to simulate them all
You optimise one...
Homework Statement
A solenoid has length L = 2.0m, radius R = 28.0cm, field strength B = 2.7T. The field is maintained by superconducting wires, with cross section 2mm x 2mm, wound with a 2mm spacing between windings and 20 layers of winding. Use the result that the current is I = 215A.
a. If...
Dear all
I'm trying to find the separative work units (SWU) required to enrich isotopically Tungsten.
I've come across the SWU equation (http://www.fas.org/programs/ssp/nukes/effects/swu.html)
SWU = P·V(Np) + W·V(Nw) – F·V(Nf)
where
V(x)=(2x-1)ln(x/(1-x))
and x is the...
What exactly are the rules for conserving the currents in a circuit? If we have multiple emfs in parallel with each other, how can we figure out the direction and magnitude of currents in each segment of a circuit?
It makes perfect sense to me for one emf, and for the most part with two I...
Hi, I am doing a physics project at school, which consists of recreating our solar system (with the sun and only 2 planets, Earth and Jupiter) with Visual Python. Then we want to measure the speed variation of the sun caused by both planets, to determine its period in a graph, which would allow...