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5h
comment What is the idea behind a projection operator? What does it do?
"idempotent homomorphism"? Try using that kind of terminology on a student fresh out of high school.
15h
revised “All true theorems are logically equivalent”
added 1 character in body
May
26
comment Doubt about the domain in logarithmic functions.
Look up complex logarithm.
May
25
comment Computing irrational numbers
Note that the "digit" of a number is a fancy type of saying "remainder mod some power of 10" (after truncation, etc.)... so if you can figure out the appropriate remainders, that's one way to get the digits. And remainders are something you can do in a variety of ways.
May
24
answered Is university math all about proofs?
May
24
comment why is $2.2250738585072014\text{e}{-308}$ not a number?
For anyone who reads this: the problem isn't representing this number; the problem is representing a lot of different numbers, this one included. In other words, if the only thing the calculate had to do was represent this number, it would be trivial. But because it has to be able to represent a lot of others as well, many kinds of numbers become different to handle, and this one is one of them.
May
17
comment Where did $-3$ go in this algebra problem?
this is just algebra, not linear algebra
May
11
comment What do we call the front part of a decimal number?
How about integral instead of integer?
May
9
awarded  Pundit
May
8
comment Number raised to power of irrational number
@MarioCarneiro: no that's not what I meant, sorry. I meant that the base and/or exponent (whichever are irrational) are rational approximations, and we take the limit as they approach their irrational values.
May
8
comment Number raised to power of irrational number
Is there any benefit to defining it via a Taylor series when when you can just define it as a limit of rational approximations...?
May
5
comment Universal quadratic formula?
@Yakk: If $b$ and $a$ are zero either there are no solutions or an infinite number of them, so I don't really care what happens, since I can't logically return any better answer than undefined. If $b$ and $c$ are zero then the only solution is $0$, which is exactly $x_1$, and consequently we indeed have all the roots. There is no other solution so it's not unreasonable for $x_2$ to be undefined. (But if you know of an elegant way to make it also return zero then feel free to go ahead and share; I don't have one, although I don't really find it necessary either.)
May
5
comment Universal quadratic formula?
@Yakk: The sign of zero is zero.
May
5
comment Universal quadratic formula?
@MarkBennet: It's not undefined, but infinity -- and as you pointed out, one of the roots is indeed infinity!
May
5
comment Universal quadratic formula?
Turns out there's a formula that works, see my own answer :)
May
5
answered Universal quadratic formula?
May
5
comment Universal quadratic formula?
Ohhh I see it now! Interesting point, +1.
May
5
comment Universal quadratic formula?
I don't understand where infinity came from. If $a = 0$ then we just have $x = -c/b$ as the only solution... neither $x = +\infty$ nor $x = -\infty$ is a solution.
May
5
revised Universal quadratic formula?
added 143 characters in body
May
5
comment Universal quadratic formula?
@MagicMan: It's pretty sensible, I want a polynomial that gives me the right answer for all polynomials up to degree 2, and it seems strange to need a different formula for a sub-case of a general case.