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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.
Aug
4
awarded  Civic Duty
Aug
4
comment 4 points, how to know if it's growing over time?
But in your latter example, the value goes down, then up, and then back down. Why should it be greater than $1$?
Aug
3
revised Square Root of matrices and multiplication
edited tags
Aug
2
answered What is the reason to introduce and study logarithmic functions?
Aug
2
revised n is even if and only if n leaves remainder 0, 2, 4, 6 or 8 when divided by 10
edited tags
Aug
1
comment What if 'proof by contradiction' is not a valid method of proof?
I mean, the simplest answer is that it's obviously valid. You may as well call into question modus ponens. There is a point where you just have to accept certain rules of logic as correct.
Jul
31
revised Find a pair of integers $n,x$ such that $84 = nx + (n-1)n$ and $x$ is odd
deleted 9 characters in body