Who gave mock theta function?
The first examples of mock theta functions were described by Srinivasa Ramanujan in his last 1920 letter to G. H. Hardy and in his lost notebook. Sander Zwegers discovered that adding certain non-holomorphic functions to them turns them into harmonic weak Maass forms.
What are theta functions used for?
The Ramanujan theta function is used to determine the critical dimensions in Bosonic string theory, superstring theory and M-theory.
What is math Theta?
The Greek letter θ (theta) is used in math as a variable to represent a measured angle. For example, the symbol theta appears in the three main trigonometric functions: sine, cosine, and tangent as the input variable. cos(θ)
How many formulas are given by Ramanujan?
Chan, and S. –S. Huang [25] found proofs for all of Ramanujan’s approximately 15 formulas employing only results from Ramanu- jan’s notebooks [61] and lost notebook [62]. See also Chapter 15 of our book [10].
Who invented theta?
Johannes Lydus says that the Egyptians used a symbol for Kosmos in the form of theta, with a fiery circle representing the world, and a snake spanning the middle representing Agathos Daimon (literally: good spirit).
What is the formula of theta?
The Cos theta or cos θ is the ratio of the adjacent side to the hypotenuse, where θ is one of the acute angles. The cosine formula is as follows: C o s Θ = A d j a c e n t H y p o t e n u s e.
What is theta formula?
Who discovered theta?
What is Ramanujan PI formula?
(13) 3 4 n ( k r k r ′ ) 2 n ( n + a ( r ) − r k r 2 r ( 1 − 2 k r 2 ) ) = 1 π r ( 1 − 2 k r 2 ) .
What is the origin of theta?
Theta (uppercase Θ, lowercase θ) is the eighth letter of the Greek alphabet, derived from the Phoenician letter Teth.
What is theta trigonometry?
) is a symbol used to denote the unknown measure of an angle. It is used mostly in displaying the trigonometric ratios of sine, cosine, and tangent.
Did Ramanujan discovered pi?
In 1914, the Indian mathematician Ramanujan discovered the formula for computing Pi that converges rapidly.
Who created theta?
Mitch Liu
Who created Theta? Theta was founded in 2017 by Mitch Liu, who founded startups in mobile gaming and online advertising, and Jieyi Long, who previously worked on VR live streaming technologies.
What is Ramanujan paradox?
For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.