Recent content by JsStewartFan

I fell in love with math in junior college because of two professors who genuinely loved the subject and spent quality time with our small group of students - treated us like fellow-researchers. A big part of why I loved it was the group of students who studied together diligently every...

http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Lambert.27s_proof Sorry - same page as above.

OK, I'm way down here on understanding, but wanted to ask cmcraes what "since we know i is not" meant, with explanation, please. Thanks!

For radius 1/(2pi), the circumference of a circle is 1, rational, but the radius is irrational. The radius and circumference are incommensurable, can't both be measured in any unit so that one is a multiple of or proportional to the other. Am I on the right track?

I would run a few numbers in a table and get a feel for how your numbers would work. What if n = a^3 + b^3 is an even number? What does that say about a and b? Also, your problem sounds like an "or" problem, as in n = a^3 + b^3 or n = c^3 + d^3, where a, b, c, d are distinct. Not an expert...

Thanks, ehild and gb7nash! I wish I could think of how such a pattern could be generated. WTMTOMH, I guess.

Thanks! And you didn't recognize it, did you, as a well-known number?

Is 2.71771177711177771111... irrational? Homework Statement I'm student teaching 8th graders Numbers and Operations. This is from an 8th grade activity I inherited with no "answer key." Is this decimal (with a pattern but not a repeating pattern) irrational? I am guessing it is, but I want to...

Thanks. I also usually have Word up, so I could paste into it right before clicking on anything. Good ideas.

Thanks for your thorough reply. I see the Manage Attachments button in additional options below. Duh! But I understand it would be better to learn LaTex. I'm in that process. Again, thanks for your response. By the way, I'm a birder at heart, too. Love your "photo."

I use Mozilla Firefox, and I hadn't thought of its history. Thanks for another idea!

Can I as a non-paying member send a Word attachment to a mentor (or post an attachment to a message)? My problem was that I had used Equation Editor in Word 2007, but it came out badly (not formatted nicely) when I pasted it into the message box. If I were to upgrade, could I send or make...

Well, I have been having the same problem as Neandethal00. I've wasted 3 hours this weekend trying to clean up a Word 2007 document that I cut and pasted, since I haven't learned LaTex yet. Twice was rejected and got into an endless loop when I wanted to review again before posting (preview)...

Good job. Thanks for showing the solution. A future high school math teacher Terry

QuarkCharmer: I think I've proved this two ways - one I found in Sullivan's Algebra & Trigonometry book (proved in the text), ed. 7, page 793. The other one I proved using the difference of limits as I wanted to, but I had to separate the proof into the four quadrants, since the hyperbola is not...