493 reputation
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location Singapore
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visits member for 2 years, 1 month
seen 9 hours ago

time goes like c# string -- immutable.

drop it, it's collected, as a garbage, by the system.

updating, what's updated is only another instance based on the original bytes.

new one, what you got is just a new one, the old one is still unchanged, floating as an orphan in the memory space.

the value never changes -- immutable, until collected or, the process exits.


1d
accepted Is the ring and semi-ring definition of algebra and set linked?
1d
comment Is the ring and semi-ring definition of algebra and set linked?
thanks a lot for the brilliant construction! I just sense that there must be an equivalent relationship as mathematicians won't use the same term for different concepts as that would be confusing; but just couldn't figure that out. thanks!
Apr
12
accepted will $x_{n+1}=x_n/2$ if $x_n$ is even; otherwise $x_{n+1}=3*x_n+1$, will $x_n$ shrink to 1?
Apr
12
answered will $x_{n+1}=x_n/2$ if $x_n$ is even; otherwise $x_{n+1}=3*x_n+1$, will $x_n$ shrink to 1?
Apr
12
accepted Where to find Geman 1995's proof on Changes of Numaraire?
Apr
11
asked Where to find Geman 1995's proof on Changes of Numaraire?
Apr
11
comment why distribution function is right continuous?
thanks a lot. I didn't reply or accept the answer actually is because i felt quite headache reading the book and gave up. however recently i pick it up and start reading from the first page again. now i see what you are saying. $A_1, A_2, \dots \in \mathscr{F} \Rightarrow A:=\cup_i A_i \in \mathscr{F}$ indirectly allows the limit to be done inside the P be taken out.
Apr
11
accepted why distribution function is right continuous?
Mar
10
awarded  Yearling
Jan
14
asked how to map the unit hypercube to area that $Ax=b$, $Cx<d$?
Oct
9
accepted Name of the formula transforming general SDE to linear
Oct
8
revised Name of the formula transforming general SDE to linear
added 86 characters in body
Oct
8
revised Name of the formula transforming general SDE to linear
added 133 characters in body
Oct
8
asked Name of the formula transforming general SDE to linear
Oct
7
comment will $x_{n+1}=x_n/2$ if $x_n$ is even; otherwise $x_{n+1}=3*x_n+1$, will $x_n$ shrink to 1?
@T.Bongers thanks, i got it!
Oct
7
asked will $x_{n+1}=x_n/2$ if $x_n$ is even; otherwise $x_{n+1}=3*x_n+1$, will $x_n$ shrink to 1?
Oct
5
comment why distribution function is right continuous?
@MichaelHardy thanks for your attention. Apology that my question is unclear. Actually I guess I roughly understand what is almost sure convergence, $L^r$ convergence, convergence by probability, and convergence by distribution. I just updated my question above. Would you pls have a look?
Oct
5
revised why distribution function is right continuous?
added 643 characters in body
Oct
5
revised why distribution function is right continuous?
added 170 characters in body
Oct
4
comment why distribution function is right continuous?
@MichaelHardy may i ask, if "It takes more than specifying the distributions of the random variables for an expression like limn→∞Xn to mean something", then what prerequisite condition of a probability definition i missed in the one above?