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location Houston, TX
age 30
visits member for 2 years, 5 months
seen May 8 at 14:13
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Dec
22
comment Is a counterexample considered a rigorous proof that a property is not true?
An existential statement is proved by an example, not a counterexample. Your whole answer is a bit fuzzy about when you're talking about the universal claim, and when you are talking about the existential inverse of the universal claim.
Nov
1
comment How many iterations can I have in a year
Is it a leap year? If you start on day 1, does it end on day 8 or day 9?
Sep
3
comment How to check if a point is inside a rectangle?
Wouldn't it be simpler, potentially fewer computations, and equally correct to test if the area of any triangle is greater than half the area of the rectangle?
Jun
5
awarded  Commentator
Jun
5
comment What is the chance to get a parking ticket in half an hour if the chance to get a ticket is 80% in 1 hour?
A Markov chain is a much better assumption, since I've never heard of multiple tickets being issued to a car (that remains parked in one place) in the same day. Therefore "got 1 ticket" is a terminal state, there is no chance of moving to two tickets. The problem stated that there is an 80% chance of getting a ticket, not that the mean number of tickets is 0.8. Your answer confuses these two quantities.
Jun
4
comment What is the chance to get a parking ticket in half an hour if the chance to get a ticket is 80% in 1 hour?
You've made a Markov assumption, which may or may not be valid.
Apr
27
comment How to prove that for $x$,$y$ positive if $x > y$, then $\frac{1+2x}{1+x} > \frac{1+2y}{1+y}$?
@Arturo: The cross-multiplication step relies on the OTHER part of the postulate, that x+1 and y+1 are both positive.
Apr
26
comment How to prove that for $x$,$y$ positive if $x > y$, then $\frac{1+2x}{1+x} > \frac{1+2y}{1+y}$?
The first step uses the postulate, that rather breaks "if and only if".
Oct
13
comment Can I use my powers for good?
@JackManey: Many American high schools are in such need of qualified math/science teachers that they're willing to forgo the "teaching certificate" and accept other credentials.
Mar
14
comment Both solutions to a quadratic make sense — looking for applications
How about where the perimeter of three sides is fixed (classic question: Rectangular goat pen which abuts the side of the barn and using a fixed amount of fence for the remaining three sides)? That breaks the symmetry.
Feb
6
comment Fewest inequalities to define a hollow cube
@Rahul: Thanks. I was thinking it would be a rotated cube, but you're right that it would have 8 faces and 6 vertices.
Feb
6
revised Fewest inequalities to define a hollow cube
added 113 characters in body; added 2 characters in body; added 163 characters in body; added 4 characters in body
Feb
6
revised Fewest inequalities to define a hollow cube
added 206 characters in body
Feb
6
awarded  Scholar
Feb
6
awarded  Supporter
Feb
6
accepted Fewest inequalities to define a hollow cube
Feb
6
awarded  Editor
Feb
6
revised Fewest inequalities to define a hollow cube
added 16 characters in body
Feb
6
comment Fewest inequalities to define a hollow cube
No particular reason, I guess it could be described as math golf... but then many mathematical problems are. And I'm remembering that the $\max$ function can be implemented as a limit of polynomials (definition of $\infty$-norm), so that's really cool.
Feb
6
asked Fewest inequalities to define a hollow cube