6,874 reputation
11637
bio website
location
age
visits member for 2 years, 4 months
seen 4 mins ago

Aug
8
comment Will the Goldbach's conjecture be a law?
This is a perfectly legitimate question about the process of mathematical research.
Aug
8
revised Vector Image Representation on 640X480 Screen
edited tags
Aug
8
answered Vector Image Representation on 640X480 Screen
Aug
7
comment Necessary conditions for being expressible using hyper-operators
@mathematician Forgot the identity function, of course.
Aug
7
asked Necessary conditions for being expressible using hyper-operators
Aug
7
comment A closed form for $\sum_{i=1}^{n} \prod_{k=1}^{i+2} (3k+2)$
The last term in this sum has $n+1$ factors each greater than or equal to $2$, so $Z(n)>2^n$ and therefore cannot be expressed as a rational function in $n$ (it cannot be written using only $+$, $-$, $\cdot$ and $/$).
Aug
7
comment Where do the topics covered in Lewis Carroll's 1896 book “Symbolic logic” fit in the modern mathematical curriculum?
I can't understand why this has 3 downvotes and a close vote in $20$ minutes, but it is true that your question is unclear. You have the book right there - you know what's in it. So what do you mean by the curriculum?
Aug
7
comment The nature of infinities
I don't think this is what the OP meant. It's clear from their preamble that by "infinite numbers" the OP meant infinite cardinals, not just large real numbers.
Aug
6
comment invert the triangular coin setting in minimum no of steps
I tried to format your formula, could you check I got it right? If so, the formula appears to be badly written, since it seems you're taking the minimum of a single number.
Aug
6
comment Refining my knowledge of the imaginary number
@JohnFernley The OP's confusion is in large part coming from not knowing that there's more to construction an algebraic structure than the simplistic approach that his teachers gave him. I know I spent a long time in the dark because I didn't realize that.
Aug
6
revised invert the triangular coin setting in minimum no of steps
added 38 characters in body
Aug
6
comment Refining my knowledge of the imaginary number
@JohnFernley Sometimes vagueness is okay, because it's obvious how to fill in the gaps. Here though, it really isn't, which is why it took so long for complex numbers to be accepted. It's not clear that you can just make up a new number until you really sit down and think through what that means.
Aug
6
comment The nature of infinities
@user72694 That doesn't make the question any more answerable, though.
Aug
6
comment The nature of infinities
This seems more like poetry than philosophy. Your question to me seems like "is this is a nice metaphor for infinity".
Aug
6
answered Solve simple xor equation
Aug
6
revised Solve simple xor equation
edited tags
Aug
6
comment invert the triangular coin setting in minimum no of steps
What does "another place" mean, and what does "invert" mean?
Aug
6
comment Refining my knowledge of the imaginary number
Neither of those are correct definitions. The typical naive "construction" of the complex numbers is basically "set $i^2=-1$ and assume all other algebraic properties work as usual". That is not mathematics. It's too vague. What does "all other algebraic properties work as usual" mean, and how do you justify that that's "allowed"? It takes much more care to actually construct the complex numbers, see e.g. Chris Culter's answer for a start.
Aug
5
comment Finding number of “Pixels” in a Circle using diameter
In particular, counting lattice points and pixels in the application the OP linked to seems to give different numbers.
Aug
5
comment Finding number of “Pixels” in a Circle using diameter
Are you sure the number of lattice points is equivalent to the number of pixels? The exact number of pixels is going to be down to how the software chooses to approximate curved lines using pixels, which might not be based on lattice points.