The Laws of Not Pi

5/23/14

5/22/14

Problem of the Day #10

Hooray, we are on 10!
So, more patterns, oh, and this has something to do with twin primes.

What comes next in this sequence? 4, 6, 12, 18, 30, 42, 60, 72, 102, 108,...?
Have fun solving!

Sorry for not posting yesterday.
There were some complications but, I'm here today!
I like patterns so here is another riddle for patterns.
1 = 3, 2 = 3, 3 = 5, 4 = 4, 5 = 4, 6 = 3, 7 = 5, 8 = 5, 9 = 4, 10 = 3, 11 = ?, 12 = ?
What do eleven and twelve equal?

5/21/14

The rest of the alphabet!

Yay! More alphabet! Nu is up and its main importance in math is that it represents the degrees of freedom! The degrees of freedom is the number of values in the final calculation of a statistic that are free to vary. Xi is frequently used in statistics as well. The xi squared distribution is a theoretical probability distribution used in inferential statistics. χ2 = ∑( Oi - Ei)² / Ei is the value of the xi squared distribution. For omicron, the capital O in omicron is for the big O notation that describes limiting behavior of a function when the argument tends toward a particular value or infinity, usually in terms of smaller functions. Pi is of course pi. Pi is the ratio of a circle's circumference to its diameter, or 3.14159265358979323846264... For rho, there is the analytic number theory invented by Leopold Gegenbauer. The following is the analytic number theory.

Sigma is probably the most significant and used alphabet letter in math and science. Anyway, sigma is the summation operator. Summation is the operation of adding a sequence of numbers; the result is their sum/total. For tau, ther was a bunch of uses, but I chose a function because functions are fun! I don't exactly know what is describes but here it is!

\sum_{n\geq 1}\tau(n)q^n=q\prod_{n\geq 1}(1-q^n)^{24} = \eta(z)^{24}=\Delta(z),

For upsilon, all I found was the elementary particle, but no one seems to know what it is. Now, for phi! It's the golden ratio! You probably know about this from Strix's post but the Golden Ratio is 1.618... The golden ratio is a number encountered when taking the ratios of distances into simple geometric figures.

Now for chi! Guess what?! The Euler characteristic is denoted as X, because we know V+F-E will not always be two... For psi, it's the reciprocal of the Fibonacci numbers! You might know the Fibonaccis from Strix's post, This time it's just 1/1(the first number) + 1/the second number + 1/the third number +... Lastly, the omega constant! It's really just a constant defined by omega times e to the power of omega= 1. Yay! We are done! See Ya!

Reminder!!

Just a reminder, on Friday, we are going back to the original schedule with Annis posting on Mondays and Tuesdays, me on Wednesdays, Saturdays, and Sundays, and Kazuma posting on Thursday and answering the problem on Friday. I guess it will be a weekly question rather than a daily problem.