What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree
Clever student: I know! Now we just plug in x=0, and we see that zero to the zero is one! Cleverer student: No, you’re wrong! You’re not allowed to divide by zero, which you did in the last step.
Nerd Paradise : Divisibility Rules for Arbitrary Divisors
It's rather obvious when a number is divisible by 2 or 5, and some of you probably know how to tell if a number is divisible by 3, but it is possible to figure out the division 'rule' for any number. Here are the rules for 2 through 11... The last digit is divisible by 2. The sum of all the digits in the number is divisible by 3.
6174 (number)
6174 is known as Kaprekar's constant[1][2][3] after the Indian mathematician D. R. Kaprekar.
Why you should learn to lucid dream
If you’ve never experienced it then you may find it hard to understand what lucid dreaming is all about. In fact you may be thoroughly sceptical and dismiss the whole thing as silly nonsense. But I can tell you from personal experience that lucid dreams are very real and something that many millions of people regularly enjoy. Note: Due to the huge amount of interest that this post has generated I am now seriously considering writing a book on the subject, and I would welcome input from anyone with an interest.
Mathematicians Solve 140-Year-Old Boltzmann Equation
PHILADELPHIA –- Two University of Pennsylvania mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases. The study, part historical journey but mostly mathematical proof, was conducted by Philip T. Gressman and Robert M. Strain of Penn’s Department of Mathematics.
- StumbleUpon
The length of the polygonal spiral is found by noting that the ratio of inradius to circumradius of a regular polygon of sides is The total length of the spiral for an
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem;[1][2] the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud),[3][4] or as wondrous numbers.[5] Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1.
The Country Cook
Oh my gosh, this casserole y'all. THIS CASSEROLE! Mmm. Mmm. Mmm.
Jain's True Value of Pi
I will be releasing a new body of work that gives the True Value of Pi, based on the Harmonics of Phi (1.618033...), a value close to 3.144...
Nerd Paradise : Calculating Base 10 Logarithms in Your Head
Calculating base 10 logarithms in your head on the fly is a lot easier than you may think. It is simply a matter of memorization and a little estimation... First memorize all the single digit base 10 logs. Don't worry, it's not as painful as it sounds.
How Quantum Suicide Works"
A man sits down before a gun, which is pointed at his head. This is no ordinary gun; it's rigged to a machine that measures the spin of a quantum particle. Each time the trigger is pulled, the spin of the quantum particle -- or quark -- is measured.
25 (more) clever ideas to make life easier
. We heard you loud and clear. When we published our first list of clever ideas to make life easier last year, we received an overwhelming response. So without further ado, here’s another 25 ingenious household tips and organisational tricks that will have you saying, “Why didn’t I think of that?!”
Deep meaning in Ramanujan's 'simple' pattern - physics-math - 27 January 2011
By Jacob Aron The first simple formula has been found for calculating how many ways a number can be created by adding together other numbers, solving a puzzle that captivated the legendary mathematician Srinivasa Ramanujan. The feat has also led to a greater understanding of a cryptic phrase Ramanujan used to describe sequences of so-called partition numbers. A partition of a number is any combination of integers that adds up to that number. For example, 4 = 3+1 = 2+2 = 2+1+1 = 1+1+1+1, so the partition number of 4 is 5.
