Could anybody here help me with this- The $r$ coordinate of Schwarzschild coordinates becomes timelike inside the horizon, yet the area of 2 spheres inside the horizon is given by $4\pi r^2$ but with r a timelike coordinate. So does this mean that the area of each 2 spheres centred somewhere inside the horizon decreases. So what I am saying is that can I imagine this
as (mentally imagining) a sphere centred at some position inside the horizon ( with the radial coordinate t as fixed ) whose area sort of decreases as time moves forward.
@Slereah and this happens for all the spheres inside the horizon, right...also formula for the area of 2 spheres is $4\pi r^2$...this formula makes ANY sense only if $r$ is a spacelike coordinate. You are measuring area so it is obvious that $r$ is spacelike. What sense does the formula make when $r$ is timelike. Is it even the area
The Paper (Hochreiter 1992) is actually backbone of the paper which I'm reading.
It's a very important paper.
But, It's written in German, I tried reading it but its way too complicated for noobs like me... I don't have any other options than to use Google Translate line by line for this 70-75 page paper
and what I hate most is that there is no single translation either on this whole internet.
Can anyone help me in translating those?
Or is there any option or anything that can ease the pain in my a--.....
How it was even accpeted? It cited some core concepts from non english language....
Or I can happily mail the author and request him for an english translation.
But that seems bit disrespectful thing to do to someone so great that Sepp Hochreiter....
I'm struck! (TT)
I want to go to some corner and cry...
I need a crash course on German.... Can anyone suggest one? Like 4-5 hours should suffice.... then I'll have an hour to read it before I sleep
Sepp's all three papers do have first four sections exact copy paste of each other.... But, different remedies each time.
I can't help you at all, but think about a research article written in English. Do you think someone studying English for only 4-5 hours would be able to tackle it? Some papers in English are even hard to parse for people who have been speaking English their entire life.
First, I apologize if I'm posting this to the wrong place, but it seems correct.
My adviser sent me the SGA text of Grothendieck which is in French. Though I can piece together parts of the text, I'm afraid that I'm losing significant parts of the meaning when I just have no idea what a sentence...
It seems that knowing French is useful if you're an algebraic geometer. More generally, I've sometimes wished I could read German and Russian so I could read papers by great German and Russian mathematicians, but I don't know how useful this would actually be. What non-English languages are goo...
There is a pdf somewhere full of advice on how to read these papers based on general language principles and the history of language, e.g. certain patterns trace back to yee olde English, old French etc and you can use the sounds to guess the meaning a good bit
I am trying to find an English translation of Camille Jordan's work "Cours D'analyse". Only the French edition is on Amazon, so since this is a somewhat specialized topic, I thought perhaps someone in this forum might know.
TIA,
Matt
The state $|n_1,n_2,...>$ is in $\mathcal{H}^{n_1} \oplus \mathcal{H}^{n_2} \oplus ...$, if $p$ and $q$ are different that's like $n_1$ and $n_2$ being different so they're in different subspaces in the direct sum no?
hmm, but if ladder operators are maps $a^\dagger:\mathcal H^{\otimes n}\rightarrow \mathcal H^{\otimes n+1}$, why doesn't what I've written make sense?
wait but you've changed two letters to go from verd to word >:(
Halo, if evolution tends to optimize us towards survival and reproduction, why do vegetarians exist? After all, eating meat should and has always been beneficial and part of the life of the ancient human.
I have a hypothesis: We have a neocortex and it allows us to bypass some evolutionary circuits.
But having a neocortex is genetic and it allows us to think logically/emotionally and bypass some evolutionary "pushes", such as eating meat (or reproducing)
as I said, evolution operates on genes, not individuals. An individual behaving suboptimally w.r.t. personal reproductive fitness doesn't really mean anything
Consider that the switch is closed and capacitor is open circuit, what I need to find is $v_0(t)$ terminal voltage in this case. It's 5V and I can find 5V when I transofmr all voltage sources to current sources but when I try to apply node voltage method without source transformation, ı end up with 24V
I believe we have no free will and every single spark in every neuron is determined by the enviroment and genetics (and maybe some quantum shysics but no idea how it can be "determined" if it's quantum shysics)
@M.ÇağlarTUFAN you are likely just making some simple algebra error if your method gives you the wrong result, but what do you want us to help you with here?
@JingleBells It may we worthwhile to recognize that reductionism may be true but it's useless. No one knows how to go from "here's the genome and a list of environmental factors" to "this guy will stop eating meat at 23"
@ACuriousMind I agree with you, I think I have an error somewhere in my calculations but I couldn't find out. I tried to solve for $v_0(t)$ using node voltage method. How many nodes are there in the above circuit with capacitor as open circuit and swtich is closed?
@JingleBells Right, but one could make an analogy that the balls are like genes and the overall distribution is like what we actually observe happening. It's a lose analogy, and there are probably some holes, but something to think about. It doesn't make the claim less valid that certainty can still be pulled from randomness.
@JingleBells you've already said you understand they often do it for moral reasons
so if you want to understand this in a reductionist way, the correct thing to ask is not "what factors make people vegan" but "what produces our sense of morality"
the more common way to look at intelligence/consciousness in animals is tool use, ability to reason about mirrors and hidden objects, and ability to use deception/coordination in a social situation
@ACuriousMind hmm, then why most humans eat meat? do they not realize it's immoral, or the evolutionary circuits that want them to eat meat are stronger?
@JingleBells that probably varies a lot, but I think the average meat-eater doesn't think it is immoral, at least not to a degree where they should stop, and/or believes their personal choice is insignificant
if all humans agreed on morality the world would be a very different place :P
@ACuriousMind so taking all those variations into account, the world at its current state is more inclined to have its people eat meat (either cuz the meat-eating circuits are stronger, people think it's not that immoral, or believe their personal choice is insignificant and other reasons)
I am trying to find an English translation of Camille Jordan's work "Cours D'analyse". Only the French edition is on Amazon, so since this is a somewhat specialized topic, I thought perhaps someone in this forum might know.
TIA,
Matt
