I know that n-body problem can be complicated, but that's for the dynamics. What about a static case:
e.g. if I have the distances of several bodies A, B and C etc. and their distance to a reference mass m, can I just use the vector addition of the Newton's gravitational force to add up all of...
Imagine we are all cavemen without satellite technology and just discovered the Foucault pendulum! As we know the angle of presession depends on the latitude. This can be used to prove that the earth is rotating, right? Now by putting several Foucault pendula around the Earth, at equidistant...
Thanks so far for replies. After checking the above mentioned document written by Lyons, I also found another doc from him here
thanks for the explanation. Yes, I know the nice article by R. Lyons. But I checked it again. There he shows the ADCs to be placed after the quadrature oscillators. i.e. you already have 2 ADCs sampling at a fixed frequency fs, signals which come from the I branch and Q branch. All is good here...
Can anyone explain, why quadrature sampling works the way it does? i.e. taking 2 samples for the I and 2 samples for the Q.
I mean I can understand if one tries to sample one mono frequency signal, say 40 Hz sine wave, on 0, 90, 180, 270 degrees, that is a sampling frequency of...
I think it is called a superellipse. I found a formula and an octave program on Wikipedia. The one I was looking for is the one with parameters "3 6 6 6", the table on the right side. The plot in octave also works by using the following command:
sf2d([3 6 6 6],[1 1])
What is the geometrical shape called, when combining 3 ellipses together, such that each two share one focal point and together form a kind of 60 degree triangular shape?
It will look similar to Reuleaux triangle, but it is not formed out of a triangle, but 3 ellipses, as if you are gluing...
this has become a wonderful thread thanks to you all, I love it! :approve:
In fact Darwin123 made a wonderful description, which I can now relate to what I have read in a book. Maybe the answer to Crazymechanic is also here.
Near field effects seem to be the result of the interaction of 2...
How is energy of electromagnetic waves (classical electrodynamics → Poynting vector) related to the photon energy (E=hv) ?
e.g. what is exactly the difference between photons from two radio stations or two laser devices with the same frequency, but different power?
Great answer! thanks.
I was also checking some books on this. Found also the Gauss's law applied to the energy conservation, which states that the sum of mechanical and field energy in a volume V is reduced as energy is radiated away from that volume.
Now is it correct to think like this: If...
just came to my mind to ask: Is gravitation really a fundamental force? As far as I recall from my GR lecture, gravitation is a property of space-time. Other forces seem to be well described by the grand unified theories (GUT).
So why is there still a need to include gravitation?
It is known from the Coulomb's law (F = q E) that if an electric field is applied on a charge, it will accelerate it, i.e. the position of the particle changes macroscopically.
But why mechanical displacement? why not a change in particles internal energy, say for example excitation of an...
I have a problem to understand the following situation regarding observation of a quantum system:
Imagine we have an unstable particle in a box, together with many sensors where each is connected to a lamp. The sensors continuously monitor the particle, the lamp turns on whenever the...
thanks for the replies so far. Now things are becoming more clear. I also like the notion of mechanical impedance which is similar to the electrical case. An ideal elastic collision would resemble a perfect impedance matching, such that all of the power of the impulse is transferred into the...
so considering the pure mathematical model, is it ok to say that the portion of the energy that does not fall on one of the ideal eigenfrequencies ω1, ω2 or ω3 is turned to heat?
I am confused whether this portion of energy turns into heat, or it is not absorbed at all, i.e. it is reflected back.
I mean really ideal. we can also do it more abstract, imagine there is a system whose frequency response consists of 3 Dirac deltas, say at ω1, ω2 and ω3.
Now I am exciting it with a Dirac delta in time domain with a certain energy E. By definition, this corresponds to a flat spectrum that...
I am new to Fortran. Is there an ultimate best library for FFT for Fortran (95)?
I found this one FFTPACK. I am not sure if this is the best one. Is there anywhere a simple example how to use it?
I have huge time files (260 MB each) that I like to read in Fortran and perform FFT and...
sorry for late reply.
But unfortunately it doesn't work. Even in the following simple code:
do t = 1, 4
in(t) = ( 2*t, 3*3 )
end program test
gfortran gives the following result:
I am confused a bit :confused:. I read in a paper that the following property holds, but can't find where it comes from.
it says that the expected value of the Fourier transformed signal is proportional...
I have a an array of type complex. I am trying to assign a value to it in a loop, but I get a strange error "Unclassifiable statement at (1)". I really don't understand why.
do t = 1, count
real(in(t)) = cos(2 * pi * f0 * t)
aimag(in(t))=sin(2 * pi * f0 * t)
Imagine a bell that has only 3 ideal resonant frequencies (no damping) and I am hitting it with a point like ideal hammer, does this mean that all of the energy of the hammer is distributed among those 3 resonances?
I think not, i.e. the energy stored in the resonant modes are less than the...