Hopefully, you are fully dressed when you do that.
In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.
I don't believe there is. The satisfaction to be had when you work something out and the program it in and see it come to life is the sort of thing to make you run about the house shouting and cheering.
Dave, your icon (or whatever it is called) is great.
What equations give this endless never-repeating locus?
Are you a chaos enthusiast?
Maybe someone can explain why this forum has polite people and some others don't.
I am talking about 2 other forums one of which is extremely prestigious. You know the one where ever third post is a 211 variable inequality. Where they never heard of a question that didn't make the IMO. Here is a common scenario:
(After posting a 339 part question that he had to invent more letters to name the parts.)
Poster: Hurry up I need the answer in 15 minutes, so no delays, OK! Show all your work and make it neat, OK!
(After answering 337 of them and even getting almost half of them right.)
Poster: What about the last 2!!!!! I want the highest mark ever recorded in my school and your preventing me from getting there. How am I going to make the math olympiad team with only 337 out of 339? Huh! Hello, if I leave 2 unanswered it looks like I am a quitter, OK!
Me: I am not sure about those 2. Maybe you could try working on them yourself a little.
Poster: Oh, yea right. Jeez, Can somebody else here help me!
The poster was mean and rude.IMO the posted was a dummie :0