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May
1
accepted A question on the equivalence of an inverse problem and a probabilistic model
Apr
29
awarded  Nice Question
Apr
28
revised Working habits in mathematics
deleted 4 characters in body
Apr
28
comment Working habits in mathematics
Jyrki Lahtonen, thanks, you are right. I discovered that, reading a book in a linear fashion, chapter by chapter, theorem by theorem, is rarely working for me. When I skip something, I generally find the real motivation for working on it in later sections. I suppose, this is itself a good strategy (and may be it is a well-known fact I do not know). I am just try to construct a general strategy for myself. :-) Thanks again.
Apr
28
revised Working habits in mathematics
added 600 characters in body
Apr
28
asked Working habits in mathematics
Apr
2
comment Continuous-time versus discrete-time stochastic models
Very nice answer. Thanks you.
Apr
2
accepted Continuous-time versus discrete-time stochastic models
Apr
2
asked Continuous-time versus discrete-time stochastic models
Mar
16
accepted A homogeneous system $Ax = 0$ with $\det(A) = 0$?
Mar
12
comment A question on the equivalence of an inverse problem and a probabilistic model
Thank you very much. Actually if we write $y$ as $x_{t+1}$ and $x$ as $x_t$, then the equation becomes a dynamic model (a random walk). Hence the continuous version of this system is a simple SDE, hence the methods of SDEs should be useful for this case as you pointed out. Thanks again.
Mar
11
revised A question on the equivalence of an inverse problem and a probabilistic model
edited title
Mar
11
comment A question on the equivalence of an inverse problem and a probabilistic model
Thanks! The techniques that you use are completely new to me. Will try to understand. By the way, is there a reference to introduce such techniques to the person who is not familiar? Thanks again.
Mar
11
asked A question on the equivalence of an inverse problem and a probabilistic model
Mar
4
comment A homogeneous system $Ax = 0$ with $\det(A) = 0$?
Thanks Cameron. In the original question, it says inconsistent. Inconsistency of the systems is defined as follows: "A system is inconsistent if it has no solutions." Does $Ax = 0$ has always a solution? (including all pathological cases?)
Mar
4
asked A homogeneous system $Ax = 0$ with $\det(A) = 0$?
Mar
4
revised The collection of pathological examples in one reference - Reference request
deleted 2 characters in body
Mar
4
accepted The collection of pathological examples in one reference - Reference request
Mar
3
asked The collection of pathological examples in one reference - Reference request
Feb
2
revised How to prove $\Bbb Z[e^{2 \pi i / 5}] \cong \Bbb Z[X]/(X^4+X^3+X^2+X+1)$
improved formatting