« first day (3064 days earlier)      last day (1264 days later) » 

Martin Sleziak
Martin Sleziak
6:35 AM
new-tag Two new tags infinite-divisibility and levy-khinchin-formula were created by 0xbadf00d.
0
Q: Determine the support of an infinite divisible probability measure on $[0,\infty)$

0xbadf00dLet $\mu$ be a probability measure on $\mathbb R$ and $$\mathcal L_\mu(t):=\int e^{-tx}\:\mu({\rm d}x)\;\;\;\text{for }t\in\mathbb R$$ denote the Laplace transform of $\mu$. Assume $$\mu((-\infty,0))=0\tag1$$ and $$-\ln\mathcal L_\mu(t)=\alpha t+\int 1-e^{-tx}\:\nu({\rm d}x)\;\;\;\text{for all }t...

probability-theory measure-theory levy-processes infinite-divisibility levy-khinchin-formula
Infinite divisibility (probability)
In probability theory, a probability distribution is infinitely divisible if it can be expressed as the probability distribution of the sum of an arbitrary number of independent and identically distributed random variables. The characteristic function of any infinitely divisible distribution is then called an infinitely divisible characteristic function.More rigorously, the probability distribution F is infinitely divisible if, for every positive integer n, there exist n independent identically distributed random variables Xn1, ..., Xnn whose sum Sn = Xn1 + … + Xnn has the distribution F. The concept...
 
Martin Sleziak
Martin Sleziak
6:50 AM
The above post was later deleted - so the tag infinitelydivisible does not appear in any SEDE queries
 
 
1 hour later…
Martin Sleziak
Martin Sleziak
7:57 AM
0
Q: Find the "region of interest" of an unknown function

TimoGiven an unknown function $f:\mathbb{R} \rightarrow \mathbb{R}$, is it possible to find it's region of interest? By that I mean either the range in which $f$ does not converge or diverge, e.g. $f(x)=(5x)^2-x^3$ For this function the range is approx. $[-5..20]$. I'm looking for an algorithm tha...

convergence-divergence graphing-functions computational-mathematics periodic-functions
The question gives a short summary at the end:
> Given an unknown function, I'm trying to find the input range for which the function looks interesting if it's plotted. For example, if a function is periodic I don't want to see the period being plotted 10 times. Or, if the function converges I'm not interested in seeing the part where it converges to a certain value, but rather where the function is "unpredictable".
> The reason behind all of this is that I'm writing a plotting library and I want to implement some sort of auto focus that automatically determines which region of a function should be plotted.
The tag divergence-operator is now in a better shape than it used to be. Only a few questions with this tag that are tagged also convergence-divergence or sequences-and-series.
 
 
1 hour later…
Martin Sleziak
Martin Sleziak
9:00 AM
new-tag Two new tags graphics and bernoulli-trials were created by Michael Hardy.
0
Q: Making a Markov chain directed graph neat and orderly and symmetrical and legible

Michael HardyImagine an infinite sequence of coin tosses, each yielding $h$ or $t.$ If the $n\text{th,}$ $(n+1)\text{th},$ and $(n+2)\text{th}$ tosses yield (for example) $hth,$ then the $(n+1)\text{th},$ $(n+2)\text{th},$ and $(n+3)\text{th}$ tosses may be either $thh$ or $tht.$ Thus the set of all eight se...

graph-theory markov-chains bernoulli-trials graphics
Bernoulli trial
In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. It is named after Jacob Bernoulli, a 17th-century Swiss mathematician, who analyzed them in his Ars Conjectandi (1713).The mathematical formalisation of the Bernoulli trial is known as the Bernoulli process. This article offers an elementary introduction to the concept, whereas the article on the Bernoulli process offers a more advanced treatment...
 
 
2 hours later…
Martin Sleziak
Martin Sleziak
11:20 AM
I might have forgotten in some cases, but typically I mention xor and link to the discussion on wiki in the edit summary. So my edits of this tag should be easy to find: data.stackexchange.com/math/query/1067159/… data.stackexchange.com/math/query/1038510/…
I have posted this before, but since the clean-up started, maybe it is useful to have such queries at hand:
Posts where the tag xor was added removed (including the editors): data.stackexchange.com/math/query/1105163/… data.stackexchange.com/math/query/1038474/…
Sometimes when removing xor I am not really sure which tag to add instead. The tags binary or propositional-calculus might be natural candidates for some question.
As I mentioned yesterday, the tag boolean-algebra is often incorretly in the posts tagged xor. If we follow the tag-info, it is intended as a tag for boolean algebras.
OTOH it is not clear-cut whether this is the only correct usage, see: About (boolean-algebra) tag. (This was posted in 2011.)
5
Q: About (boolean-algebra) tag

Martin SleziakBoolean algebra has two common meanings - an order-theoretic structure or "algebra of logic", i.e. basic calculus with truth values. Currently the wiki excerpt looks like this: Boolean algebras are structures which behave similar to a power set with complement, intersection and union. Quest...

discussion tagging
The sentence: "For Boolean logic use the tag propositional logic" was edited into the tag-info in 2014 and then updated in 2016. math.stackexchange.com/posts/53826/revisions
I did not notice the tag bit-strings before - maybe that might also be a reasonable tag for some questions about xor.
 

« first day (3064 days earlier)      last day (1264 days later) »