13,159 reputation
12170
bio website linkedin.com/in/crntaylor
location London, United Kingdom
age 29
visits member for 2 years, 5 months
seen 1 hour ago
stats profile views 2,478

I'm interested in functional programming, type theory and very applied math - including systematic trading, statistics, artificial intelligence and machine learning.

I'm working on an AI Library in Haskell. Feel free to fork.


Feb
27
accepted Eilenberg Moore category
Feb
26
comment Eilenberg Moore category
@TomEllis Something like newtype Algebra t a = Algebra (t a -> a) and newtype Morphism t a b = Morphism (a -> b) - so you don't actually need to pair a type with a value, it's implicit in the definition. So given an algebra $(a,h:Ta \to a)$ and a morphism $f:a\to b$ you can't actually return the algebra that the morphism maps to, but you can check that some morphism $f:a\to b$ is an algebra homomorphism between $(a,h:Ta\to a)$ and $(b,k:Tb\to b)$ by checking (modulo newtypes) that $k\circ Tf = f\circ h$.
Feb
26
comment Eilenberg Moore category
I suppose my issue is that I'm actually trying to implement these things - my intuition was that an algebra homomorphism should be a function that returns $(B,k)$ when given $(A,h)$, but clearly that doesn't have to be the case.
Feb
25
revised Eilenberg Moore category
added 9 characters in body
Feb
25
asked Eilenberg Moore category
Feb
21
awarded  Announcer
Feb
21
revised Differential Equation : $f '' = f '$
added 8 characters in body
Feb
19
comment KdV and forest dynamics
As you say, there appears to be no information on the internet related jointly to the terms "KdV" (or "Korteweg de Vries" etc) and "Forest dynamics" (or "forest", "computational ecology" etc). There are three explanations I can think of: (1) there is a connection, but no one has written about it on the internet or published any papers about it, (2) whoever told you that the KdV equation models forest dynamics was mistaken, or (3) you misheard 'fluid dynamics' as 'forest dynamics'. I will leave you to assign your own relative likelihoods to those possibilities.
Feb
15
comment Corroboration Of Simple Algebra For A Physics Lab
All look right to me.
Feb
15
revised Corroboration Of Simple Algebra For A Physics Lab
added 11 characters in body
Feb
14
answered What's a conventional or useful notation for “second-highest”?
Feb
13
revised Pseudocode for view the combinations .
added 320 characters in body
Feb
13
answered Pseudocode for view the combinations .
Feb
13
comment Prove that $\left (\frac{a^2 + b^2 +c^2}{a+b+c} \right) ^ {(a+b+c)} > a^a b^b c^c$
@Iuli Answers that only include a link are bad, for exactly this reason - very often the page that was linked to disappears. Can you edit your answer so that it's useful again?
Feb
12
revised Bernoulli integral (conservation of energy)
Prettifying
Feb
8
comment Finding the ratio
I like this more than my answer.
Feb
8
answered Finding the ratio
Feb
7
answered Probability of dice double - why not count duplicates?
Feb
7
comment What are the odds of the pattern “2 black, followed by 2 red” occurring in a roulette game?
A quick comment - if your 'system' is one designed to win at roulette, you should be aware that rolls of a roulette wheel are random (and biased in favour of the house) and that there is no 'system' that consistently wins at roulette. If, on the other hand, you mean something else by 'system' then feel free to ignore this comment!
Feb
7
reviewed Edit suggested edit on Probability of all parts functioning