I don't know Maybe π or i

I never thought about my favorite number... I guess it can be tau (=2pi) because it makes so much more sense to use it instead of pi...

I'm in conflict between three numbers (though I'm not sure what category they would go in as far as I can tell the would go into the real category, but it doesn't seems like it'd exist so who knows.) It is either 0.999999... or ...999999.0 (This equals 9+90+900+9,000... I think you get the point) or ...9999999.999999... (NInes forever in both directions) I have debated about these numbers for a very long time, so far I think that 0.9999... has the same properties as 1 ...99999.0 would be similar to -1 because if you add one to ...99999.0 then, well, it sort of becomes an infinitely big number that can only be written as zero. and ...99999.99999... would be zero! However this is simply an irrational theory, but I'd love it if you guys dug into this and came up with their own conclusions.

Wow. I never even thought about whether i would be negative or positive because it's an imaginary number I assumed that it wasn't positive or negative

Come on people, it's not that hard...

What is 2 + 2 in base 3? (don't tell Cashin we're doing math...)

I am a beginner software developer, and I love computers and technology in general. I understand many technologies, but I have limited knowledge since that is a very broad category. This all basically means I'm good at math lol. And I say "good" as in "I understand much of math but it depends on what is being asked". I can easily tell the difference between Python 3 and C++ and Python 2 (Python 2 is outdated but not entirely obsolete yet from what I recall) but when it comes to solving an algebraic equation, I might struggle. So yeah, ask away and if I can't help, I might try. I hope there are E's for effort here cause I will have tons of E's and a few A's lol

Here's my analysis of the matter.

Posted as an image so here is some text.

A box B gets a marble if the phase P is a factor of the box, right? If B/P = integer, then that box gets a marble. The box that gets the most marbles would be the one with the most factors, not just prime factors. So box 16 = 2*2*2*2 has factors 2, 4, 8, 16. I would say that the box with the most non unique prime factors would have the most. We aren't talking about the size of the factor, just the number of different factors that can be made. That's my first guess.

It is like saying sin(0) = 0 = sin(pi) arcsin( sin(0) ) = 0 = arcsin( sin(pi) ) = pi 0 = pi You have period functions. If f(x) maps to A, and f(y) maps to A, it does not mean that x = y. When you take roots of numbers you should write them in polar notation R = r exp( t i) then R^(n) = r^(n) exp( t i / n) and there are multiple roots. Basically you dive the unit circle into 1 / n pieces. It's really interesting.

That was the key to my solution.

Ah, geometry, my favorite :> The answer seems to be correct, although using trigonometry for such a problem is kinda like picking a sledgehammer to crack a nut Notice that the line connecting the centres of the circles (the double radius) is parallel to the hypotenuse, so if you project these points on the other two legs, you'll get a smaller triangle which has the same shape as the original one (i.e. they're similar, and hence their sides are in proportion). From that you should be able to construct an equation for `r` in terms of the sides.

I'd rather say that the error is in the silly notation that confuses the operation with its operands. But even the great Leonhard Euler fell into this trap, which shows that even the greatest minds can err if the notation they use is deceiving. The actual error is right there in the middle, because this is an identity only for real numbers.

Reminds me when my father asked me once to calculate a compound interest on his investment, and when I said "Hmm… the 12th power of 21/20 is…", he yelled: "12th POWER?! ARE YOU MAD?! THIS WOULD BE AN ASTRONOMICALLY LARGE NUMBER!" "Yeah, but it's a 12th power of number just a wee bit larger than 1" – I replied He still didn't get it, so I left him in the hands of other "experts" :J

I'll try to answer in such a way that you know that I know, but without spoiling the fun to others 1. That's a rather trivial one 2. That's a prime example of what a certain Eratosthenes would ponder upon while carrying a sieve 3. I think that it's perfectly possible to square that circle 4. This question might be quite divisive, depending on whether one likes a proper answer or improper I'd go with improper though. OK, but to add some more fun, let me add another question: 5. Which box will contain the biggest number of marbles and why?

More like "Die Hard 3" challenge

You have some numbered boxes, their number doesn't really matter that much, but let's say there are 1000 of them, numbered from 1 to 1000. Now, in each "phase", you put marbles in specific boxes: In phase 1, you put a marble in boxes 1, 2, 3, 4, ...,1000 (so in all of them). In phase 2, you put a marble in boxes 2, 4, 6, 8, ..., 1000. In phase 3, you put a marble in boxes 3, 6, 9, 12, ..., 999. And so on. In the last 500 phases, you just put a single marble in boxes 501 to 1000. The following questions apply to the situation after all 1000 phases are completed: 1. Which box(es) have exactly 1 marble? 2. Which box(es) have exactly 2 marbles? 3. Which box(es) have an odd number of marbles? 4. What does the number of marbles really represent in relation to the number of the box? For questions 1-3, you don't need to list all the boxes with a specific number of marbles, just identify some common property they have.

Here is what I have:

I see what you did there

Sorry for not updating the club lately, I'm pretty busy with other stuff. Will do it as soon as possible.

Good thing it isn't an Engish book. He can't even spell mathematics. Pfft.

I have decided to purchase a lovely notebook dedicated to this group and math problems alone! I am ready, professor Druid!

In the song The Twelve Days Of Christmas, you receive a lot of gifts. But you also get multiple copies of a gift, on multiple days. For example, on day two you get 2 turtle doves and a partridge (with a bonus pear tree). This means that you have a total of 2 partridges so far, because you had 1 from day one. We can ask some questions. By day 12, how many of each item do you have? Which item do you have the most of? Make a plot of the cumulative number of items of each type that you get after 12 days.