(phi, Gamma)-modules 1:03:55 Native American Mathematics 1:14:31 Distribution of Values of zeta and L-functions (1 of 3) 53:40 Moments of zeta and L-functions on the critical Line I (2 of 3) 57:45 Moments of zeta and L-functions on the critical Line II (3 of 3) 56:31 ...
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It's true that the Fibonacci sequence is tightly connected to what's now known as the golden ratio, phi, an irrational number that has a great deal of its own dubious lore. The ratio of successive numbers in the Fibonacci sequence gets ever closer to the golden ratio, which is 1.618033988...
Why is log|z| harmonic? What does phi mean in a harmonic equation? Given the function of two variables, f(x,y) = cos(2x-3y) - sin(3x-2y). Is f(x,y) harmonic? Show that the function u = x^2 - y^2 - 2 x y - 2 x - y - 1 is harmonic. ...
Is there a formula for Fibonacci? Yes, there is an exact formula for the n-th term! ... It is: an = [Phin –(phi)n] / Sqrt[5]. What is the basic formula for the golden ratio? Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics,...
Thanks to all the participants for this interesting experiment in collaborative mathematics. This is certainly a different type of project from the ones I normally am involved in, but I found it to be an enjoyable and educational experience. There is still some time to make further (minor) cor...
In mathematics, the word constant can have multiple meanings. As an adjective, it refers to non-variance; as a noun, it has two different meanings:A fixed
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The set in mathematics is a collection of unique objects. For example, if a set has elements 2, 3, 4 then the sets have 3 elements namely 1, 2, 3. Sets are denoted by letters or symbols and they are ...
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