neofoxmulder
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 Jan 16 awarded Yearling Jan 6 awarded Necromancer Oct 30 comment Maximal area in fixed perimeter I have no idea why this answer got downvoted... ?? Jan 16 awarded Yearling Dec 20 awarded Caucus Sep 24 awarded Autobiographer Sep 10 comment Limit factoring You need + under radical ... OP edited problem. :) Mar 23 revised Domain and range of a function. Fixed typo Mar 23 revised Domain and range of a function. Adendum Mar 23 answered Domain and range of a function. Mar 23 comment Simplifying a radical with fraction and sum Ahh , then we can get the result. Mar 22 comment How can I formulate the two guards puzzle to disallow references to the other guard? Ahhh , thanx , buttons sticking ... Mar 22 revised How can I formulate the two guards puzzle to disallow references to the other guard? deleted 1 characters in body Mar 22 revised How can I formulate the two guards puzzle to disallow references to the other guard? added 126 characters in body Mar 22 answered How can I formulate the two guards puzzle to disallow references to the other guard? Mar 21 comment Whats the name of this sort of matrix The 17 looks 'out of place' to me , I would expect 12 in that position. :) Mar 20 answered Simplifying a radical with fraction and sum Mar 19 comment How does the exponent of a function effect the result? IMHO the interpretation, the presentation AND the intermediate steps are important. $$\frac{ 2}{2 } = 2 - 1$$ $$x^{ \frac{ 2}{2}} = x^{2 - 1} = \frac{x^2} {x}$$ Zero has been removed from the domain so this 'path' gives a ddifferent answer than the two cases asked by the OP. Mar 19 comment How does the exponent of a function effect the result? There is freedom to play $$-1 = (-1)^1 = (-1)^{ \frac{ 2}{2}} = ((-1)^{ \frac{ 1}{2}})^2 = (\pm i)^2 = -1$$ Mar 19 comment How does the exponent of a function effect the result? There are 4 4th roots of 1, One of the roots is $i$ , the right answer. What would really be devastating is if we used 'seemingly legitimate' algebra to get 4 roots and $i$ was not among them! :) Also , there is no problem if n is odd.