@mertyildiran I've left a comment just now - your question is somewhere between too broad and unclear what you're asking. While the name "quantum" originally comes from the dictionary definition you cite, quantum theory is not really about discreteness. It's an unfortunate terminology mishap that the modern technical usage of "quantization" has not all that much to do with the dictionary meaning that suggests it's synonymous to "discretization".
@0celo7 They are not forbidden as such but if you use them in any context where they could be remotely construed in their Nazi meaning you'd be on very thin ice.
I found this 3 volume qft-math series by zeidler which is pretty good I think but I don't really get the way he orders the topics. kind of weird order for someone who's new to them.
new programmers don't need to learn about pointers and such matters when they don't even yet know the most basic concepts of programming, and they don't need to worry about arbitrary syntax when they could just indent.
I know a few simulationists (are they called that?) and they all write in C since their cluster doesn't really allow them to run anything else even remotely as efficient to begin with
@ACuriousMind well its a simulation of an ideal quantum computer, and the user inputs the number of qubits they want to use, the state they want those qubits to be in, which gates they want applied to which qubits, and whether or not they are done applying gates to qubits, and then the program prints the results (end state of the qubits)
Uhhh...well, I can of course act as a pseudo-random number generator and input things at my whim, but I have no idea how to tell whether the result is correct
@ZeroTheHero reading through the conversation between annoyed mathematician and python developer on a python forum, that seems to be one of the arguments =)
@0celo7 : does the theorem that states that $q \in I^+(p)$, resp. $J^+(p), E^+(p)$ is equivalent to $\vec{pq}$ being a future directed timelike/causal/null geodesic has as a corolary that the causal sets of the tangent space are mapped to those of the manifold?
It has everything from regular soldiers to super soldiers to parasitic super soldiers to vampires to wolves to parasitic super snipers to cyborg ninjas to regular super snipers to super alaskan tank raven dudes to a dude made out of lightning who is then later made out of lava
photosynthesis super sniper, many people with ESP, a crazy octopus person, a guy with a revolver who later has this clone's arm attached and gets possessed but wait it was all a ploy and the patriots got fooled
and more
oh and the main character has four clones
and there's a nuclear holocaust around the corner in each game
@heather vocal cord parasites, a DNA-targeting virus, nanomachines, private military companies rule the world, the war economy is crazy, there's a guy who has a really bad digestive system
My post here:
Book recommendation: Book on condensed matter physics focusing on numerical method in quantum system [duplicate]
How can I further improve my post so that it is not a duplicate?
@Slereah I need to learn some differential geometry for my thesis.Have to become comfortable with parallel transport and the related concepts and do some calculations, but don't have much time. Which book do you suggest? Spivak (calculus on manifolds) or Munkres (Analysis on manifolds) ? Any other book?
@2017 interesting remark. It may be boring, but surely with all the money and power in the world you can design an interesting and stimulating lifestyle for yourself?
@2017 but your comment does get to the heart of what I was thinking about. I feel that once I have my needs met, I don't feel happy, I feel bored. So what do we do then?
For me an interesting life would be a wholesome life that is filled with joy, sorrow, adventure, thrills, and struggles. One thing that I strongly believe in is that what keeps is alive is hope for the future. If you don't have any goals to achieve then probably you are living a very boring and unhappy life.
I think before your needs are met this is your focus (e.g if you lack money for food or something) and fullfiling the need will lead to short term happiness.
but once the need has been confidently met, you won't have any further happiness from it
Then from here, one is happy when one sees the possibility of future rewards
e.g. a night out on the town with crazy friends where "anything can happen" may be exciting because there is so much potential for unexpected rewards
The modern way to deal with this -- often referred to via the variational bicomplex -- is to consider primarily the jet bundle of the field bundle, instead of the infinite-dimensional space of sections of the field bundle. The infinite-jet bundle is itself mildly infinite-dimensional, but if your...
Sounds pretty cool but I don't think I've ever seen anyone use this bicomplex.
This is tricky---the OP thinks it's okay to close as duplicate because the answer happens to address his question as an aside, but the questions are not the same. What to do?
Therefore, in agreement with how inner products appeared in integrals $\int_a^b w(x)f(x)\overline{g(x)}dx$ the structure imposed by inner product is the weighting $w(x)$ for each basis component
For example in the standard inner product, $w(x)=1$
This weighting then controls the cancellations that can occur when computing the inner product hence the notion of orthogonality
and from orthogonality, angles, norms etc. then follows
Therefore, in short, if given a vector space and you need to put a grid on top of it so that you can compare between two vectors, then the inner product tells you what the grid will look like
There's a subtlety however in that while the inner product is independent of the choice of basis (since the result is a scalar), the grid is dependent on the choice of basis
Would you say that the standard scalar product in $K^n$, $\left< x,y \right>=\sum_i x_i y_i$, is basis-independent or not ?
I would argue that it is, because we don't use the components of the vectors $x,y,$ to define this function, but the vectors themselves (although there is a basis, namely t...
My post here:
Book recommendation: Book on condensed matter physics focusing on numerical method in quantum system [duplicate]
How can I further improve my post so that it is not a duplicate?
