I came accross this on yahoo answers. :
Think your'e good at math? Try this one!?
There is a 9-digit number containing the numbers 1 through 9. Each number is only used once. This 9-digit number is divisible by 9. When you take off the right-most digit, it become an 8-digit number that is divisible by 8! When you take off the last digit to create a 7-digit number, the whole number is now divisible by 7. The pattern continues all the way down until the end, when it is a two digit number divisible by two, and then taking off the end digit creates a 1-digit number, divisible by 1.
*The numbers are not in order.
*Since 1+2+3+4+5+6+7+8+9=45 and 45 is divisible by 9, that clue does not help us. No matter what order the numbers are it will be divisible by 9 in the begining.
*Think about the 5th digit... what would make the number divisible by 5 when it is only 5 numbers long? There's one filled in for you!
*Review your divisibility rules.... try google to get them all. *Have fun!
Please hide your answers, or put a spoiler warning.
The original post:
I'd like to suggest you bump this up to a higher priority.
Reason number two affects me personally, but numbers 1 and 3 should probably be considered.
1) It is potentially a security issue for kids who use this site at school (it seems the login never times-out.)
2) I decided I would just stay logged in all the time. But to see a list of new threads, I need to mess with the cookies, which is getting annoying.
3) This is a public relations issue -- it detracts from the overall classiness and usability of the site.
I'd be happy to contribute some exercises, but am too new to math to be a "checker".
Can I post problems I've seen online, or from texts I've used? If so, should I give credit to the author/s?
If you want only original problems, I'd enjoy writing some.
Is this project going forward? What has been done, and what needs to be done?
As a footnote, I've just started working through Spivak's Calculus. Some of the problems are so good that I've been tempted to post them for other members to enjoy and discuss.
In general, I'm wondering how much material from a single book can be posted, without being illegal/ unethical.
I liked your explanation of "Isn't ∞ / ∞ equal to 1?"
I was not as clear on why 0 × ∞ , ∞^0 , and ∞ - ∞ are undefined.
1) Is ∞ = ∞ defined? I'm guessing that it is not, since ∞ -∞ is not defined.
2)You mentioned different magnitudes of infinity. Is the symbol ∞ only for the smallest (Aleph-null ) infinity, or is it generic for infinity of any size?
3) n^0 is defined to be equal to 1 for any n not equal to zero, because this makes the operations consistent for numbers raised to any power.
Is there a similar logic to why ∞^0 must not equal one?
To meo_beo , Ricky, aleclarsen12 thanks for the replies.
To :aleclarsen12 , I'm sure Ricky gave you good advice. But...
here's a problem for you where your definition will make a problem much simpler, while the piecewise definition that I gave will make your life hard!
Try to prove this fact :
This is from a college level book, so tell me if you want more hints.
Today I started learning Latex on Texmaker (for Linux). The same code that produces this nice looking limit on this website (from Dross' tutorial) comes out badly in my dvi files.
I want it to look like this:
but instead, theis to the right of lim , rather than directly under.
Why this variation from system to system? How can I get mine to look correct in my documents?
Thanks for your reply.
edit: A partial answer to my own question is to use the \displaystyle command. I still don't completely understand this command.
Conversely, if I want to be sure that the limit is displayed to the right, rather than under, I can use the \nolimit command
I have read various web definitions of percentile, and there is some disagreement. In you answers, please explain in a way that I can understand without having taken a statistics course.
So what is you definition, and what would you consider an authoritative web source for the answer?
I will post a follow-up with the context for my question, which is a programming assignment for an intro to data structures class.
Thanks for your help !