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 Yearling
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Apr
21
comment Why don't we define “imaginary” numbers for every “impossibility”?
Several years later, this answer makes a little more sense to me in terms of adjoining elements to rings :)
Apr
21
comment Why don't we define “imaginary” numbers for every “impossibility”?
Several years later, I can finally understand what this answer was saying!
Nov
23
comment What is the fallacy in this proof?
The error is elsewhere, as described in other answers. It is in fact true that (4 - 9/2)^2 = (5 - 9/2)^2
Jun
2
awarded  Yearling
Dec
28
comment Easy example why complex numbers are cool
And in particular, that $e^{\tau{}i} = 1$
Dec
10
awarded  Excavator
Dec
8
awarded  Caucus
Oct
2
awarded  Quorum
Sep
1
comment What could be better than base 10?
Doesn't that imply that you need a potentially unbounded number of symbols to represent large numbers? If a number requires $n$ factorial digits, then you need $n$ symbols to represent the most significant digit. In a classic base $B$, you only ever need $B$ symbols.
Aug
31
revised Solving a logarithmic expression without a calculator
clarified log base
Aug
31
suggested approved edit on Solving a logarithmic expression without a calculator
Aug
28
comment What could be better than base 10?
@MJD If you want to use your hands and are allowed to distinguish between fingers on each hand, then binary is clearly optimal, allowing you to count from 0 to 1024 (half-open).
Aug
28
comment What could be better than base 10?
Um... call me dumb, but in what base do you represent each $a_i$, considering that no constant finite base will suffice once $i!$ is greater than it?
Aug
24
revised If there are obvious things, why should we prove them?
fixed grammar, removed gender-specific "man".
Aug
24
suggested approved edit on If there are obvious things, why should we prove them?
Jun
26
awarded  Custodian
Jun
12
comment Mathematical research of Pokémon
@JairTaylor right- that paper uses some clever Pokémon-engineering to ensure the outcome of each battle beforehand, so it doesn't really go into this :)
Jun
2
awarded  Yearling
May
31
comment Are problems about finding the next term of a sequence mathematical?
"I find succeeding numbers of a sequence mathematical; I understand equations, both the simple and quadratical..." (I initially mis-parsed the title, with "mathematical" modifying "sequence" :)
May
27
reviewed No Action Needed Limit of $\frac{\sin(xy^2)}{x^2+y^2}$ as $x\to0$ and $y\to0$