Y
HN Search
Hacker News Search
new
|
comments
|
top
|
jobs
carloswilson
searching PlanetScale…
1.
▲
2.
▲
3.
▲
4.
▲
5.
▲
6.
▲
4 ms
·
1.
▲
by
carloswilson
7y ago
I am aware. It is typically represented as Z_5. They are called prime fields. I highly doubt wsxcde meant prime fields in their comment though. wsxcde seemed to be talking about the set of all integers and the set of all real numbers in the
2.
▲
by
carloswilson
7y ago
> The set over which the field is defined (Z or R) What? The set of all integers, Z, is not a field! R is. But Z isn't. Z is a ring, a commutative ring. I doubt you understand what a field is! > already contains -3, -2 etc. Yes,
3.
▲
by
carloswilson
7y ago
> You literally cannot prove this fact from the Peano axioms because Peano arithmetic operates on natural numbers, not integers. Sure you can. With definitions! Define integers from natural numbers. Define rationals from integers. And so
4.
▲
by
carloswilson
7y ago
> Also, this post conflates the unary negation operator with negative numbers. -a is a standard way to represent additive inverse of an element in field. The point about "unary negation operator" seems irrelevant. In the real n
5.
▲
by
carloswilson
7y ago
While this product of additive inverses property does follow from the field axioms, there is a short discussion in the blog comments at https://susam.in/blog/product-of-negatives/comments/ which shows that
6.
▲
by
carloswilson
7y ago
I appreciate that answering questions in a grilling interview is more difficult than asking questions, but ... > “You don’t know? This was the largest data scandal with respect to your company, that had catastrophic impacts on the 2016 e
7.
▲
by
carloswilson
7y ago
> So I don’t know what the solution is to these types of accidental UI bugs. Obviously a scroll bar should be an acceptable solution? Why do designers hate scroll bars these days?
8.
▲
by
carloswilson
7y ago
Prior to GMail, we used to check our "Junk" folder occasionally in whatever email service we used. When GMail arrived with its nice spam classification, it was great. Worked well, better than any competitors out there. This gradua