OT: Can you answer this 3rd grade homework question?

Sorry about the linesplit.

--


----Android NewsGroup Reader---- 
http://usenet.sinaapp.com/

404

2 * 4 = 8; 2 * 6 = 12; single-digit multipliers done using 2. 2 * 12 = 24 & similar, 2 * 20 = 40 & similar, 2 * 22 = 44 etc. Then one gets to play with 3, etc. Do not see a pattern to generate these so-called fact families, meaning one may be stuck in wasting lotza time trying to generate all of them.

I believe Mochizuki has done some recent work along these lines.

-- john, KE5FX

This sounds like that n! on calcvlators.

How many around here have ever once used that function for something that made money ?

Permutations without replacement? Binomial coefficient? Taylor series?

For large n, n! approaches (n/e)^n asymptotically, which is used in applications all the time

's_approximation

If you interpolate the factorial to the real numbers, you get the gamma function, probably the most important non elementary function in applied math,

though interestingly it has been proved that the function is not the solution of any "simple" ODE:

--


----Android NewsGroup Reader---- 
http://usenet.sinaapp.com/

That's been the case for a very long time -- by which I mean, that there is no unique Gamma function. To take a little tangent from Holder's theorem specifically.

There are more than a few analytical extensions of the factorial function, to real, negative and complex numbers. At least one doesn't exhibit poles for negative integers, which is very interesting. I forget whose function it is, or if it's missing certain analytical properties, or that it's just hard to use so it never caught on.

Tim

--
Seven Transistor Labs 
Electrical Engineering Consultation 
Website: http://seventransistorlabs.com

It's an excuse to get kids use multiplication tables.

Make a table from 2->10 by 2->50. Fill in the products under 100. Remove the redundant products. Mark the equations with 3 digits. Count them.

Third grade homework is not suppose to be easy for you to do or not take a lot of time. It's an exercise.

I don't know if this will preserve the formatting.

Check! Double check. Checkmate.