I think I may have something. Correct me if I'm wrong:
ab=ab which implies a=\sqrt[b-1]{b}
a+b=ab which implies a = b/(b-1)
Then b = bb-1/(b-1)b-1
From this we get: bb-2 = (b-1)b-1
Expanding gives: bb-2 =bb-1-b-1C1bb-2+...
And b-1C1 = b-1
From this we get: 0 = bb-1-(b-1+1)bb-2+... =...
Is anyone here good at editing images? We could use your skills to get a load of us in, and destroy the website from the inside!
Not that we need photoshopped images :biggrin:
Hello and thanks in advance for your help.
For about a week now, I've been trying to write what should be a simple python program. The idea is first to write a program for a simple harmonic pendulum, then adapt it to a spring pendulum. However, in order to do this, I have to write the simple...
Abby, you do realize that this thread is nearly four years old, right?
There's been a lot of necro-posting lately.
Anyway, congruency does not have to be for geometric shapes. A further example of this is in modular arithmetic. Note that 5 is congruent to 2 mod 3, and not equal to 2.
Mmm... I sure wish I had that many pies per second...
A few hints:
Find how much would be left behind with one revolution. This should be simple, and you have all the variables necessary. But the spool makes 2.1 revolutions. How much would then be left behind?
You are making it more...
Ahh, sorry, I meant pi/2, meaning cos(pi/2) = 0. Then they do not have to be < r3+ r4
Besides, say they are both equal to pi anyway. Then, r1 and r2 can be greater than r3 and r4, yet still hold true in the first inequaility but not the second.
I may be incorrect, but I would say this would be false.
What if t-t_{1} and t-t_{2} are equal to 2pi, pi or 0? Then r1 and r2 can be anything, and don't have to satisfy the inequality!
It may help to think of it this way:
What is greater?
(x-n)(x+n)
or
x2
To help, what is another way of writing the first one?
What's to say you can't use optimisation (derivatives) to check your answer?
What about things like 123x where x is a digit? "x" could be any of the ten* possibilities, yet you are restricting it to nine. You are eliminating options that work.
*1230,1231,1232,1233,1234,1235,1236,1237,1238,1239
Your second option is correct. You get it by having the total number...
In essence, what you are saying is that there are no practical application of seatbelts? If this is true, why to balls with another ball inside make a rattling sound when you shake them? How come I go flying forward on the bus when it slows down?
You are neglecting simple Newtonian physics...