433 reputation
214
bio website bennytu.wordpress.com
location Toronto, Canada
age 25
visits member for 2 years
seen Feb 19 at 4:24

Completed an undergraduate degree in Electrical and Computer Engineering, currently studying medicine but still do some programming on the side.


Jul
2
awarded  Curious
Jul
2
awarded  Yearling
Apr
2
awarded  Popular Question
Dec
27
awarded  Popular Question
Dec
8
awarded  Popular Question
Jul
2
awarded  Yearling
Nov
10
accepted Proof of sigma-additivity for measures
Nov
8
comment What is the probability that I have a allele if my mom/cousin have it?
Then p = 0.5 (and 0.5). So $f(AA)+F(Aa) = 0.5^2+2*0.5*0.5 = 0.75$ or 75%. It doesn't matter whether you are looking at the gene from mom or dad side since the frequency of the allele is known at a population level so its assumed that both the egg and sperm have the same chance of having that specific gene/allele.
Nov
8
revised What is the probability that I have a allele if my mom/cousin have it?
edited body
Nov
8
answered What is the probability that I have a allele if my mom/cousin have it?
Nov
7
asked Proof of sigma-additivity for measures
Nov
6
comment Cardinality of Vitali sets: countably or uncountably infinite?
Wow, that was great! thank you very much for the update :D. I feel bad if I were to take away Martin's checkmark and give it to you :p, but this answer covers everything I wanted to know. I really appreciate the time you took to write this out!
Nov
6
comment Cardinality of Vitali sets: countably or uncountably infinite?
Yup I realize that :), i'm just a bit pedantic on this stuff. even though it doesn't matter to the final result.. Thanks for your response though!
Nov
6
accepted Cardinality of Vitali sets: countably or uncountably infinite?
Nov
6
comment Cardinality of Vitali sets: countably or uncountably infinite?
Thank you for the good response! I was getting confused because I was looking at a proof where they were referring to disjoint vitali sets and how those were countable. But I realize that in the general case, of any random vitali set, there are uncountably many. I gave Martin the checkmark because it was a bit clearer for me and he answered first, but yours was good too!
Nov
6
comment Cardinality of Vitali sets: countably or uncountably infinite?
@StevenStadnicki that actually solved the root of the problem! I was looking at the proof of why the vitali sets are non-measurable where they basically had a vitali set, then created new vitali sets by shifting the original set by a rational number and then performed the "union of a countable number of disjoint sets" to prove that this should add up to a length of 1 but instead is either 0 or infinity. So I was under the impression that there was a countable infinite number of vitali sets. And you made me realize that this is only true if they are disjoint vitali sets
Nov
6
comment Cardinality of Vitali sets: countably or uncountably infinite?
Thanks, that made perfect sense! I was getting confused because I was looking at a proof where they were referring to disjoint vitali sets and how those were countable. But I realize that in the general case, of any random vitali set, there are uncountably many
Nov
6
comment Cardinality of Vitali sets: countably or uncountably infinite?
Just a quick clarification, you say "We have uncountably many equivalence classes; each class is infinite" do you mean "each class is countably infinite"?
Nov
6
asked Cardinality of Vitali sets: countably or uncountably infinite?
Nov
5
comment Example of strictly subadditive lebesgue outer measure
Just to make sure: the lebesgue outer measure is sigma-additive in the case where the sets are something like (1,3) and (4,6) right? basically the most elementary sets that are taught in like school :p