Both your formula and mine results in the same final expression
$$P(X=x)=e^{-\lambda x}\lambda^n x^{n-1}/(n-1)!$$
But what if n is non integral or is it not possible for n to be non integral
Wikipedia and some of my simpler statistics courses present the gamma distribution with shape ##\alpha## and rate ##\lambda## as
$$P(X=x)=x^{\alpha-1}\lambda^\alpha e^{-\lambda x} \Gamma(\alpha)$$
Where ##\Gamma(\alpha)## is a value in terms of alpha to normalize the PDF from the space of x...
I am trying to build an AI to group texts into topics using K clustering so I must embed a text into a vector. Everyone knows that the conventional way is to first tokenize the text into words and stripping all the punctuation chars. I get a list of word from this. This is what I plan to do with...
For a spherical body mass M and radius r, the escape velocity at the surface is ##\sqrt{\frac{2GM}{r}}##. At the surface, an object mass m has GPE ##-\frac{GMm}{r}## and 0 GPE at infinity. So ##\frac{GMm}{r}## KE must be converted to GPE which means the minimum take off speed must be...
##\pi^\pm## are mutual particle-antiparticle pairs, while ##\pi^0## is it's own antiparticle. All has a spin of 0.
In any annihilation reaction of a particle ##x##, the equation is
$$x+\bar{x}\to \gamma+\gamma$$
Photons have no charge but a spin 1. I can see charges are conserved but spin is not...
I shall now elaborate on how the network of FSMs work. Allow the system to contain N FSMs for a large value N say ##10^4##. Each FSM has it's output assigned to a random weight and multiplied by it. Hence the aggregate output of the system gives
$$\sum_{i=1}^N w_i o_i= \textbf{w}^T\textbf{o}_t$$...
I am doing a project to build a Long Short Term Memory algorithm from scratch. LSTMs are capable of retaining memory of the past inputs and carrying them for future operations thanks to Recurring Neural Networks to process a series of inputs such as sounds and text.
One possible way I can think...
Yes the Scientific American article does in fact make a lot of unverifiable claims like the big lurch in the picture which has no supporting reference as well as the claim that phantom energy freezes everything in place.
https://arxiv.org/abs/0705.1688
https://ui.adsabs.harvard.edu/abs/2014IJMPD..2350054P/abstract
https://www.scientificamerican.com/article/time-s-end-will-be-the-end-of-endings/
According to these references they suggest that dark energy can suddenly change sign and causing the universe expansion...
You mean that one flaming the mentors and calling them 'Einstein worshippers ' for that warning on personal theory? Nope that wasn't me or I'll be perm banned. I also want to see who made that post.
Assertions means not facts that the general science community agrees with rite? Because honestly I do not need a reference if I bring up F=ma of E=mc^2 etc.
I currently have a warning for poor quality posts or what mods call 'substandard' posts. I'm not trying to argue with the mods or appeal anything here in the post.But rather I wish to know what kind of posts the mods accept. I understand the need for PF to be heavily moderated to keep crackpots...