14,903 reputation
12975
bio website linkedin.com/in/crntaylor
location London, United Kingdom
age 30
visits member for 3 years, 4 months
seen 6 hours ago

I'm broadly interested in very applied math. I try to apply ideas from mathematics, statistics, machine learning, formal systems and computer science to solve real-world problems. Mostly in applied finance/quantitative trading, but in other areas if the mood takes me.


The following is for my own use, but feel free to borrow it -

Hi. It looks like you are new here. We are generally very willing to help, but we like users to show the work that they've done towards solving the problem on their own first. If you can edit your question to show the code you've written so far, and where you are stuck, then you will get a much better response.


Sep
13
answered What is the most accurate way to project a total running time based on a 95% complete run?
Sep
13
revised In how many ways can $16 be divided among 4 people?
added 8 characters in body
Sep
5
comment What is information theoretic entropy and its physical significance?
@dexterdev Correct.
Sep
2
comment What is information theoretic entropy and its physical significance?
I like the answer, but I disagree with your explanation of the entropy of languages. It's not true that if the entropy of a language is N bits per letter, that means there are about N different letters that could fill in the blank if you deleted a random letter (for a start, it depends what units you measure entropy in - a dice roll has 2.59 bits of entropy, 1.79 nats or 0.77 dits). Instead, you should think in terms of compression ratios. Since we use 8 bits to represent English text in ASCII, and it has 2 bits of entropy per letter, we should be able to compress it by a factor of 8/2 = 4.
Aug
2
answered The odds of studying versus applying a mathematics?
Jul
26
comment Do probability distributions form a comonad?
@dorchard I don't remember what my motivation was when I asked this - and I don't think I ever resolved the question one way or the other, either. I'll try to think about it over the weekend!
Jun
27
awarded  Taxonomist
Jun
23
comment Show that $ \mathbf u^2 \mathbf v^2 = (\mathbf u \cdot \mathbf v)^2 - (\mathbf u \wedge \mathbf v)^2 $
@iostream007 No offence is taken. It's true that when $a$ is a multivector, $a^2$ is a positive scalar. But multiplying two multivectors $u$ and $v$ does not give a scalar in general. Since $uv=u\cdot v + u\wedge v$, you have $vu = v\cdot u - v\wedge u = u\cdot v - u\wedge v$ so there is no simple relationship between $uv$ and $vu$ in general (unless $u\cdot v=0$ or $u\wedge v=0$).
Jun
23
answered Show that $ \mathbf u^2 \mathbf v^2 = (\mathbf u \cdot \mathbf v)^2 - (\mathbf u \wedge \mathbf v)^2 $
Jun
23
comment Show that $ \mathbf u^2 \mathbf v^2 = (\mathbf u \cdot \mathbf v)^2 - (\mathbf u \wedge \mathbf v)^2 $
@iostream007 $uv$ is a not a scalar quantity in general. For example consider the geometric algebra $Cl(\mathbb{R}^2)$ with $u=u_1e_1+u_2e_2$ and $v=v_1e_1+v_2e_2$. Then $uv = u_1v_1 + u_2v_2 + (u_1v_2-u_2v_1)e_1e_2$.
Jun
23
comment Show that $ \mathbf u^2 \mathbf v^2 = (\mathbf u \cdot \mathbf v)^2 - (\mathbf u \wedge \mathbf v)^2 $
@Avitus $a$ and $b$ are multivectors, i.e. elements of the Clifford algebra of some vector space. See here: en.wikipedia.org/wiki/Geometric_algebra
Jun
18
answered The Mystery of the Integrating Factor
Jun
7
revised Statistics: Where did this function for normal distribution come from?
added 3 characters in body
Jun
7
answered Statistics: Where did this function for normal distribution come from?
May
31
asked Discrete probability distribution for a multi-stage experiment
May
18
awarded  Good Question
May
18
awarded  Constituent
May
16
awarded  Nice Answer
May
11
comment How often does it happen that the oldest person alive dies?
Thanks for this gwern. Love your site, by the way!
May
11
revised How often does it happen that the oldest person alive dies?
deleted 11 characters in body