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location New Jersey, USA
age 48
visits member for 2 years, 6 months
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Jul
2
awarded  Curious
Jun
17
comment Is there a convergent, alternating series that fails the AST?
What is the sequence's pattern here?
Jun
17
comment Is there a convergent, alternating series that fails the AST?
@DavidZ: Two good points. A good example and, yes, that is not quite what I had in mind. In fact, the complete AST says conditions 1 and 2 must hold after some point (that is, after $k>K$).
Jun
17
asked Is there a convergent, alternating series that fails the AST?
Jun
7
comment Number of solutions to sudoku puzzle
Related question: If you're making the puzzle, how do you know you've given enough information for the solver to solve it (short of trying to do the puzzle)? I've been wondering how they make kenken puzzles.
May
26
comment How is a Circle Just a Bunch of Triangles?
Are you referencing that the equation for a circle, $x^2+y^2=r^2$, is really just the Pythagorean theorem (which is, of course, about triangles). If so, the reason for that is that a circle is the set of all points that are the same distance from the center and the Pythagorean theorem is how we measure distance. HTH.
May
26
revised Find the permutation
added 1 character in body
May
26
comment Find the permutation
@Tony That would work and exactly matches the definition of inverse.
May
26
revised Find the permutation
edited body
May
25
answered Find the permutation
May
7
awarded  Nice Question
May
2
awarded  Notable Question
Apr
20
comment Infinite series of nth root of n factorial
@axin $1^\infty$ does equal 1. The problem is you are not taking $1^\infty$. You are taking a number that approaches one, to infinity. $\sqrt[n]{n}$ approaches 1. $\sqrt[n]{n-1}$ also merely approaches 1. So you are really taking almost one raised to the infinity.
Apr
7
awarded  Popular Question
Mar
20
comment Does the series $\sum n!/n^n$ converge or diverge?
The limit of the above is $\frac 1e \approx 0.36788$, which is the same thing I got in a more roundabout way. But why does WolframAlpha report the answer is 1.87985 (see: tinyurl.com/n99hwld)
Mar
16
awarded  Good Question
Feb
4
accepted Why can't you square both sides of an equation?
Jan
19
accepted Why is it called an “orthocenter”? What is the orthocircle?
Jan
16
asked Why is it called an “orthocenter”? What is the orthocircle?
Jan
16
comment Pythagorean Theorem Proof Without Words (request for words)
I didn't notice the figure the first time. I read the text only. Pretty cool graphic, actually.