Given two data sets A and B, we can, say, conduct ANOVA to see if the average is statistically different.
Is there a way to determine what is the probabilty that A is smaller than B?
Let's say that we can NOT assume anything about A and B e.g. if they follow a normal distribution.
Hi
If the function ##f(x,y)## is independently continuous in ##x## and ##y##, i.e.
f(x+d_x,y) = f(x,y) + \Delta_xd_x + O(d_x^2) and f(x,y+d_y) = f(x,y) + \Delta_yd_y + O(d_y^2)
for some finite ##\Delta_x##, ##\Delta_y##, and small ##\delta_x##, ##\delta_x##,
does it mean that it is continuous...
Homework Statement
Solve for X in the DARE (Discretetime Algebraic Riccati Equation) analytically. A is diagonal A = [a\;0; 0 \;a], and B = [b; 0] (in MATLAB notation).
Any help is very much appreciated!
Homework Equations
The DARE is given as
A'XA  X  (A'PB+S)(B'XB+R)^{1}(A'XB+S)' + Q =...
The LP I am concerned with has a number of inequalities. However, I need to only have at least one of them satisfied. This can be any combination of the inequalities, not a particular one.
Say the LP has 5 inequalities to satisfy. I want to have that satisfying at least one of the 5 means...
Linear Programming  satisfaction of only at least one constraint
Hi
Is there a form of relaxation/modification of an LP of the form
\text{min }\;\;f^\mathsf{T}x\\\mathbf{A}x\leq b
such that if only anyone of the constraints is satisfied, then the solution ##x## is regarded as feasible...
Homework Statement
Red and green laser (wavelength of 650 nm and 532 nm respectively) are directed towards each other at 20 degrees.
Each laser has 5 mW power, with diameter of 1mm.
Assuming the intensity of the beams are decreased by 10% each after the 'collision',
estimate the upper...
Homework Statement
Liquid ammonia at 1.5 MPa, 20oC is mixed with saturated vapor ammonia at 1.5 MPa at equal flow rate. At the outlet, 1.3 MPa and quality of 0.85. Calculate the heat transfer per kilogram of ammonia exiting the mixer.
Homework Equations
The Attempt at a Solution
I tried...
Homework Statement
On an arbitrary state, the observable \hat{A} is measured returning the result a. A compatible observable \hat{B} is then measured returning b.
If \hat{A} is then measured again, is the same result a obtained?
How about if \hat{A} and \hat{B} are not compatible...
Hi ehild
by applying heat and raising its temperature.
However, I don't have/know an equation that equates total heating applied (Q) to the raise in temperature..
Homework Statement
2 moles of gas at 300 K at 0.02 m3 is expanded to twice the original volume at constant pressure, and then adiabatically until T = 300 K again.
assume monatomic gas. assume ideal.
determine the final volume
determine the heat supplied to the overall process
determine...
Homework Statement
What happens when the tube is (a) overheated or (b) too cool.
Homework Equations
The Attempt at a Solution
I searched on google and almost all said:
"
If the tube has been overheated, the emission current is small, and maxima and minima can hardly be recognized or...
A little background: I am doing the FranckHertz experiment and was asked to plot the spacing of acceleration voltage between peaks of output (anode) voltage.
Homework Statement
Plot/sketch the resulting spacings with the uncertainties on a number line!
Homework Equations
The...
probability = \int\int \frac{1}{4}\frac{3}{2\pi}sin^{3}\theta e^{\phi} d\phi d\theta
Should be
probability = \int\int \frac{1}{4}\frac{3}{2\pi}sin^{3}\theta d\phi d\theta
Homework Statement
Calculate the probability of finding the electron in a hydrogen within the angle \pm30\circ from the xy plane.The hydrogen is in the (2,1,1) state.
Homework Equations
probability = \int\int\int\leftR_{2,1,1}\right^{2} \leftY^{1}_{1}\right^{2} r^{2} sin(\theta) dr...
Homework Statement
A digital voltmeter is used to measure the resistance and voltage of a circuit.
The resistance and voltage measured is used to calculate current flowing.
What errors does the input resistance of the voltmeter introduce into the determination of current?
Homework Equations...
This is not a homework question, but a derivation in my class which I can't get around.
Homework Statement
Step1 F=ma
Step2 \vec{F} = m\frac{d\vec{v}}{dt}
Step3: Multiply both side by v \vec{F}.\vec{v} = m\vec{v}.\frac{d\vec{v}}{dt}
Step4 Power = \frac{d}{dt}\frac{1}{2}m\vec{v}.\vec{v}...
It is a regular class.
Yep, I'm fully aware of that.
And I think n starts at 1 (111) since if one of them is 0, the wavefunction will also be equal to zero which is not true.
Thanks for the help!:smile:
I do not know which permutations of nvalues to choose though.
My guess is that the question is asking for the sum of the lowest 10 energies, so choose 10 permutations of nvalues giving the lowest energies and sum them up. Then times this sum by 2 since each energy is occupied by 2 neutrons...
Hi bjnartowt,
I honestly don't know about the principle.
By the sound of it and after looking quickly at wikipedia, my understanding is that in this case, no three or more neutrons can have the same combination of ns (since each eigenstate can accept 2 neutrons).
So I'm guessing that the...
Homework Statement
A system of 20 neutrons are confined in the region
0<x<3L
0<y<L
0<z<2L
With L=10^{15}m
If each eigenstate can accept 2 neutrons (corresponding to the 2 possible spin states) what is the total kinetic energy of the system?
Homework Equations
I found the...
If I'm right this time, I was missing L2
And so I equate 0 = hbar2  L2mE
and also, after eliminating x2, I equate to the guess solution,
and both of them give me a consistent answer:
E = \frac{\overline{h}^{2}}{mL^{2}}
Now, I think this is right!
If it is, thanks very much :smile:
Hi nickjer
After putting it as a single fraction, I got:
\frac{d^{2}\psi}{dx^{2}} = \left(\frac{2}{\left(L^{2}x^{2}\right)}\frac{x^{2}\left(\overline{h}^{2}mE\right)+mL^{4}E}{L^{2}\overline{h}^{2}}\right)\psi
I just cannot figure out how to remove the x dependencies in the numerator.
If...
Homework Statement
An electron in a one dimensional crystal is bound by:
U(x) = \frac{\overline{h}^{2}x^{2}}{mL^{2}\left(L^{2}x^{2}\right)}
for
\leftx\right < L
and
x = infinity
for
\leftx\right \geq L
Show that a stationary state for the electron in the potential well
\psi(x) =...
Thanks very much for the clear explanation, K^2!
I can see the where the formulas come from since you explanation fits my regulator well.
However, there is one thing I need to clarify: is the threshold voltage 17V in the diagram?
And you're saying that at low current e.g. 1mA in the diagram...
My teacher was talking about power supply voltage regulators.
I cannot get why does a zener diode regulator's output voltage drops after the load current through it exceeds some critical current?
thanks in advance :smile:
Thanks vela..
the last part of the question says:
If the neutron come originally from a U235 nuclear fission reactor, in what sense are they now "cold"?
I looked at wikipedia, and found "The neutron temperature, also called the neutron energy, indicates a free neutron's kinetic energy"...
:shy:...It does not do anything...
I get it now that the 'slit system' is juts a diffraction grating and reading back my old notes about diffraction grating, the only difference is that now I cannot approximate sin(theta)=tan(theta)...
sorry about my silliness..
I see :smile:.
So now that I have lambda = 9.04e11 m
Can I use the equation (n0.5)lambda = d sin(theta)
with n = 1
and x = 20 tan(theta)
so that x is the closest distance between the central maxima and the area of nearly zero flux?
I am concerned since the problem states that...
Homework Statement
Parallel beam of "cold" neutrons in the xaxis, with energy 0.1eV strikes a slit system in yz plane.
Slits are parallel to the yaxis 1 micron apart. What will be the distance between the detector at x=20m which records the highest flux of neutrons, and the closest one...
hi tinytim,
you mean combine (add) them with (2s22)/(s2+1)2?
so 1 = (2s3+s) + (2s22)
then, where do I imply the A, B, C, and D? :confused:
(thank you for your help so far) :smile:
They are 2s/(s2+1) or 0
and
(2s22)/(s2+1)2 or 4si/(s2+1)2
so..
(AsAi+Cs+Ci) / (s2+1) + (B(s+i)2+D(si)2) / ((s2+1)2) = 1
and AsAi+Cs+Ci = 2s , B(s+i)2+D(si)2 = 2s22
is this right?
It is not good enough because I need to perform an inverse Laplace transform on the fraction.
And at my level, I only use tables and some basic theorems (convolution, shift in s etc.) and 1/(s2 + 1)2) is not on the table :(
I have attached my working using the first try..
Homework Statement
How to break down:
\frac{1}{(s^{2}+1)^{2}}
into partial fractions?
Homework Equations

The Attempt at a Solution
I have tried:
\frac{1}{(s^{2}+1)^{2}} = \frac{1}{(1+i)^{2}\times(1i)^{2}} = \frac{A}{(s+i)} + \frac{B}{(s+i)^{2}} + \frac{C}{(si)}} +...
i know
>>char(100)
gives some kind of ascii letter as an answer
my question is, is there a function to convert the ascii letter back to 100?
Thank you!
edit  The language is MATLAB
Just watched the movie Avatar.
Can we light up a match (or produce fire) where there's low/effectively no oxygen in the atmosphere e.g. moon?
If not, can a spark still be produced?
Thanks!
Does a microwave oven burns metallic objects?
I never put spoons, forks, or aluminum foil inside a microwave because I'm afraid that the microwave oven will burn them.
If I remember correctly, my brother put an aluminum foil inside and it burnt.
Nonetheless, the interior of the microwave...
Hi
When a photon of insufficient energy (lower that the metal's work function) arrive on the metal's surface, what will happen?
One part of my notes says that it will be "reflected with no loss of energy", but my teacher
has recently stated that it will be absorbed and emitted back as...
I used a cocktail shaker once in one of my friends' shop.
It seems that ice blocks melt faster when shaken in a cocktail shaker (the shiny, metallic one) than in a regular plastic bottle.
Why is this? is it just because the different material of the two bottles?
Does a cocktail shaker has...
well, i was just being a little bit fancy
if you want, i think you can use
Fd = \muN + Fs
the previous equation:
Fd \leq \muN + Fs
just means that the force pulling the boy down must be less than or equal to the force holding the boy up (Fr and Fs)
The only unknown variable is \mu...
force down the slope:
Fd = mg sin 560
normal force:
N = mg cos 560
Friction holding the boy
Fr = \muN
maximum force provided by string
Fs = 152
Equating forces:
the string must not break so the boy doesn't fall, so
Fd \leq \muN + Fs
you can the solve for \mu, the coefficient...
You can solve the problem using the equations of motion
vf2 = vi2 +2ad (1)
vf = vi + at (2)
where vf and vi are the final and initial velocity respectively and a is the acceleration, t is the time
Using equation (1), you can solve for d
and using (2) you can solve for t...