424 reputation
411
bio website in.another.dimension
location Athens, Greece
age 46
visits member for 3 years, 6 months
seen Aug 6 at 19:40

Interests: math, programming and games, not necessarily in that order.


Feb
26
comment Largest known integer
@Harry Stern: It was his own post. :)
Feb
25
awarded  Commentator
Feb
25
comment Designing an Irrational Numbers Wall Clock
You could write the 3 as $\log 10 + \log 1010$
Feb
25
comment Designing an Irrational Numbers Wall Clock
+1 for the 6
Feb
25
awarded  Editor
Feb
25
revised Designing an Irrational Numbers Wall Clock
added 62 characters in body
Feb
25
answered Designing an Irrational Numbers Wall Clock
Feb
25
comment Is the Gamma function superadditive?
Nice question. So, with whuber's solution, a=2 suffices to prove that it is. Now, what's the smallest a so Γ is superaddictive?
Feb
25
comment What are some alternative definitions of vector addition and scalar multiplication?
Nimbers emerge as a class of games, as you said the impartial ones (those where every left member is a nimber and also a right member and vice-versa). So do surreals, as the class of games where every left member is not >= than every right member and all (left and right) members are surreals. But the only surreal that is also a nimber is zero.
Feb
25
comment What are some alternative definitions of vector addition and scalar multiplication?
The second, with the adjustment "one Field is contained within the other (as a class, not a set)" but does not "inherit the same multiplication and addition" If the subclass of the surreals (that is identified with nimbers) inherits multiplication and addition, then it is not a field.
Feb
24
comment What are some alternative definitions of vector addition and scalar multiplication?
There is however a way to to see Nimbers (No2) as corresponding 1-1 to Ordinals (On). But then the operations (addition and multiplication) that make it a Field are not the usual addition and multiplication of ordinals.
Feb
24
comment What are some alternative definitions of vector addition and scalar multiplication?
No, i'm saying that both nimbers and surreals are Fields (and not fields as they are proper classes and not sets). But the Field of nimbers (called No2 by Conway) has characteristic 2, while the Field of surreals (No) does not.
Feb
23
awarded  Suffrage
Feb
23
comment Prove: $\gcd(a,b) = \gcd(a, b + at)$.
But if (a,b) | (a,b+at), then also (a,b+at) | (a,b+at+a(-t))
Feb
23
comment What are some alternative definitions of vector addition and scalar multiplication?
Nimbers and Surreals are related off course.But I don't think that nimbers form a subfield of the surreal numbers. For every nimber x, x+x=0, while this is not true for any surreal other than 0 itself.
Feb
23
awarded  Teacher
Feb
22
answered Do all polynomials of even degree start by decreasing as you plot from $-\infty$ upward?
Feb
22
awarded  Supporter