Cloud Computing market share in Q2 2022 by statista.com
. Source. CNN convolution kernels are not hardcoded. They are learnt and optimized via backpropagation. You just specify their size! Example in PyTorch you'd do just:as used for example at: activatedgeek/LeNet-5.
nn.Conv2d(1, 6, kernel_size=(5, 5))
This can also be inferred from: stackoverflow.com/questions/55594969/how-to-visualise-filters-in-a-cnn-with-pytorch where we see that the kernels are not perfectly regular as you'd expected from something hand coded.
The CNOT gate is a controlled quantum gate that operates on two qubits, flipping the second (operand) qubit if the first (control) qubit is set.
Equation 1.
CNOT gate matrix
. CNOT gate symbol
. Source. The symbol follow the generic symbol convention for controlled quantum gates shown at Figure "Generic controlled quantum gate symbol", but replacing the generic "U" with the Figure "Quantum NOT gate symbol".On the standard basis:we see that this means that only and should be possible. Therefore, the state must be of the form:where and are two complex numbers such that
If we operate the CNOT gate on that state, we obtain:and so the input is unchanged as desired, because the control qubit is 0.
Therefore, in that case, what happened is that the probabilities of and were swapped from and to and respectively, which is exactly what the quantum NOT gate does.
So from this we understand more concretely what "the gate only operates if the first qubit is set to one" means.
Now go and study the Bell state and understand intuitively how this gate is used to produce it.
Finding a complete basis such that each vector solves a given differential equation is the basic method of solving partial differential equation through separation of variables.
The first example of this you must see is solving partial differential equations with the Fourier series.
Notable examples:
- Fourier series for the heat equation as shown at Fourier basis is complete for and solving partial differential equations with the Fourier series
- Hermite functions for the quantum harmonic oscillator
- Legendre polynomials for Laplace's equation in spherical coordinates
- Bessel function for the 2D wave equation on a circular domain in polar coordinates
This section is about the definition of the dot product over , which extends the definition of the dot product over .
Some motivation is discussed at: math.stackexchange.com/questions/2459814/what-is-the-dot-product-of-complex-vectors/4300169#4300169
Just like the usual dot product, this will be a positive definite symmetric bilinear form by definition.
A:
- decidable problem is to a decision problem
- like a computable problem is to a function problem
Computational physics is a good way to get valuable intuition about the key equations of physics, and train your numerical analysis skills:
- classical mechanics
- "Real-time heat equation OpenGL visualization with interactive mouse cursor using relaxation method" under the best articles by Ciro Articles
- phet.colorado.edu PhET simulations from University of Colorado Boulder
Other child sections:
- digitalcommons.law.seattleu.edu/cgi/viewcontent.cgi?article=1585&context=sulr
- www.inverse.com/article/12948-computer-generated-vr-child-pornography-will-be-horrible-illegal-and-immersive
- www.crime-research.org/library/Illegal1.htm
- www.quora.com/Should-purely-computer-generated-imagery-CGI-of-child-pornography-be-illegal
What makes Ciro especially mad when programming is not the hard things.
Especially when you are already a few levels of "simple problems" down from your original goal, and another one of them shows up.
This is basically the cause of Hofstadter's law.
But of course, it is because it is hard that it feels amazing when you achieve your goal.
There are unlisted articles, also show them or only show them.