Thanks for your response. I'll think about the points you mentioned!
About pre existing algorithms/ tools: I assumed that they would be incompatible with my problem since I do not have an explicit function that I want to minimize, but that the function that I want to minimize involves some...
I have tried to implement my own algorithm, but it does not seem to work and maybe you have some suggestions on why it doesn't work or can suggest alternativies? :-)
First of all, I forgot to mention that the value of ##g_{ij}^\alpha## is either 0 or 1.
First I make the following...
But how exactly do I solve here for ##\theta_i, J##? To use the equation in the quote, I would need to know the value of ##u_{ij}##, but from the equations, i can only obtain the values of the sum ##\sum_{i=1}^N u_{ij}##, no? Maybe I misunderstood what you're saying
Hi,
In a project of mine I've encountered the following set of equations:
$$ \sum_{i=1}^N \left(\frac{1}{M}\sum_{\alpha=1}^Mg_{ij}^\alpha - u_{ij}^* \right) = 0 \qquad \forall: 1\leq j \leq N$$
$$\sum_{i<j}\left( (u_{ij}^*)^2 - \frac{2}{M^2}\sum_{\alpha < \beta}^Mg_{ij}^\alpha g_{ij}^\beta...
Ah, after solving the ##p-C## equations, we have ##N(N-1)/2 - N## unknown ##p_{ij}## variables left. In total (with the ##u_i##), we have ##N(N-1)/2 - N + N = N(N-1)/2 ## unknown variables left. We have ##N(N-1)/2## equations that connect the ##p##'s to the ##u##'s, so it should be solvable...
Hey Ray,
In general, we have ##N(N-1)/2## different ##p_{ij}## variables, correct? But we have ##N## amount of ##p-C## equations. So we have the right amount of equations / variables if ##N(N-1)/2 = N##, which is true for ## N =3 ##. Am I missing something or is this then not solvable if...
This is actually not a homework problem, but a problem I'm encountering while working on a little project and I'm not sure if it's even solvable or if it makes sense what I'm doing
1. Homework Statement
First, I have the equation
$$p_{ij} = \frac{1}{2}\left( \tanh{(-\frac{\theta_i +...
I realized that I know nothing about the history of physics!
Does anyone have any good recommendations on this topic?
For example I'd like to have a clear timetable in my head about what was discovered at what time? by who? what were the methods/thoughts that went into it and what did the rest...
Sorry for asking this here, and I know there's a lot of posts on the internet answering exactly this question but I'm curious about the opinion of you smart eople!
Does anyone have a preference for any sources to get into AI as a theoretical physics student? such as books, online courses, etc...
Hi, I'm trying to calculate the partition function for a certain system and I arrived at an expression for the partition function $Z$, and have been stuck here for two weeks at the least. This is not a homework problem. If this is the wrong place to post a question like this, could you please...
thanks for the suggestion. Do you mean that it's not a good book for quantum computing or do you actually mean quantum mechanics ? I liked the book so far
Hey everyone,
I'm sorry if this is not the right place to ask this, but here it goes:
I have to do a presentation on a topic on quantum computing.
Does anyone know any cool doable topics? We have been working through Ballentine's quantum mechanics book, to give you an idea of the level.
Thanks!
Hey everyone.
I'm currently doing my Master in Theoretical Physics, because I like to study physics, but I don't want to have a career in physics. Right now I'm looking at a career in (quantitative) finance. I don't have any knowledge of it yet. Does anyone have any tips on making this switch...
Ah I see, I guess I asked too quickly. I'm sorry. Is what I'm doing here correct?
$$ V= \frac{d\vec{r}}{ds} = \frac{\partial \vec{r}}{\partial t} \frac{dt}{ds} + \frac{\partial \vec{r}}{\partial x} \frac{dx}{ds} $$
(the partial derivatives are the basis vectors)
so
$$g(V,V) = A dt(V)dt(V) +...
Hey again,
I reread what you said, and I don't get it. With respect to what basis is your given V?
$$g = g_{\mu\nu} dx^{\mu}dx^{\nu}$$
and with your vector $$V = (\frac{dt}{ds},\frac{dx}{ds})$$ (I removed the vector sign above the x, so this is just a simple 2d spacetime)
then we have...
Hey,
I have not done any proper differential geometry before starting general relativity (from Sean Carroll's book: space time and geometry), so excuse me if this is a stupid question.
The metric tensor can be written as
$$ g = g_{\mu\nu} dx^{\mu} \otimes dx^{\nu}$$
and its also written as...
hello,
I would like to learn general relativity.
To understand general relativity, do I need to understand the math on a rigorous level? (the way mathematicians understand the math) . What math do I need?
Can you suggest me some math/general relativity books?
Thanks and sorry if my english...
hey,
I'm a 3rd(last) year physics student.
I have the feeling that I am forgetting everything that I learn very rapidly. For example, in my 1st year
I had things like classical mechanics, optics and classical electrodynamics. At the time I understood these subjects pretty well, and aced them(I...