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Nov
29
revised Understanding Bell's inequality vs. quantum mechanics
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Nov
29
comment Understanding Bell's inequality vs. quantum mechanics
It seems that you misunderstood my question, and that my question is very ill-organized even after the latest modification. In fact, I'm not asking about the sequential thing, and the inputs are, in fact, given.
Nov
29
revised Understanding Bell's inequality vs. quantum mechanics
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Nov
29
revised Understanding Bell's inequality vs. quantum mechanics
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Nov
29
comment Understanding Bell's inequality vs. quantum mechanics
I didn't know Markov chain. After a glimpse to wiki page, it seems to me something on stochastic process. I cannot not see how it's related to the spin measurement, since I'm not tracing the state after measurement (which disturbs the state), but doing a lot of experiments for the same initial state.
Nov
29
comment Integer solutions of $x^3+y^3=z^3$ using methods of Algebraic Number Theory
Personally I think it should be done in $\mathbb Q(\sqrt{-3})$, not $\mathbb Q(\sqrt3)$. Factor $a^3+b^3=(a+b)(a+b\zeta_3)(a+b\zeta_3^2)$.
Nov
29
awarded  Popular Question
Nov
28
comment Q: A basis for a topology on $C^{\infty}(\mathbb{R};[0,1])$
Instead of $f_3=(f_1+f_2)/2$, you need to choose $f_3\in V_1\cap V_2$ by non-emptiness of $V_1\cap V_2$, and you can proceed then.
Nov
28
revised Understanding Bell's inequality vs. quantum mechanics
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Nov
28
revised Understanding Bell's inequality vs. quantum mechanics
added 1 character in body
Nov
28
revised Understanding Bell's inequality vs. quantum mechanics
edited title
Nov
28
reviewed Approve Pseudo inverse of a singular value decomposition SVD is equal to its “real” inverse for a square matrix?
Nov
28
asked Understanding Bell's inequality vs. quantum mechanics
Nov
28
comment How to rigorously understand continuous bases?
Is Dirac's formulation adequate for self-adjoint pseudo-differential operators?
Nov
26
accepted Cauchy-Lipschitz (or Picard-Lindelöf) theorem for Banach spaces?
Nov
25
comment On a certain representation of the Galois group of $X^n-a$ from Lang's Algebra
As far as I know, it's so-called generalized Kummer theory, which is related to Galois representations (I haven't dug into this area, sorry). I don't know whether this material is clearer.
Nov
25
revised On a certain representation of the Galois group of $X^n-a$ from Lang's Algebra
edited tags
Nov
25
comment Cauchy-Lipschitz (or Picard-Lindelöf) theorem for Banach spaces?
Thanks. Is H.Cartan's Differential Calculus also a reference for this topic? Now it seems to me that everything is okay. If $f\colon\mathbb R\to E$ is differentiable, then $\lVert f(b)-f(a)\rVert\le\int_a^b\lVert f'(x)\rVert dx$, which leads to estimations of primitives, follows from Hahn-Banach theorem and $\lvert g(f(b)-f(a))\rvert\le\int_a^b\lvert g(f'(x))\rvert dx\le\lVert g\rVert\int_a^b\lVert f'\rVert dx$ for any $g\in E'$.
Nov
25
comment How to prove that derivatives have the Intermediate Value Property
@t.b. Sorry, but Conway's base 13 function isn't a derivative of a differentiable function, of which the continuity points constitutes a comeager $G_\delta$-set.
Nov
25
comment Cauchy-Lipschitz (or Picard-Lindelöf) theorem for Banach spaces?
For Dieudonné's Foundations of Modern Analysis, you mean the existence of primitives for regulated functions (uniform limits of step functions)?