Boris Adamczewski Furstenberg's conjecture, Mahler's method, and finite automata 53:12 János Pintz On the mean value of the remainder term of the prime number formula 48:20 Shabnam Akhtari Orders in Quartic Number Fields and Classical Diophantine Equati 58:41 Vitaly Bergelson A soft dynam...
00 Selberg's central limit theorem for quadratic Dirichlet L__�__-functions over fu 28:57 Unsolved Problems in Number Theory 59:42 The Life and Numbers of Richard Guy (1916 – 2020) 49:10 Aliquot sequences 48:10 Crossing Numbers of Large Complete Graphs 51:05 The Notorious Collatz ...
Quadratic formula is one of the easiest methods of solving quadratic equations. To learn how to solve the quadratic equation using the quadratic formula, along with detailed derivation, steps and solved examples, visit BYJU'S today!
As it is shown in the first part of this short essay, duality plus conservation laws allow the violation of Bell’s inequalities for any spatio-temporal separation. To dig deeper into particle dualism, in the second part, a class of models is proposed as a working framework. It encompasses...
Area is the amount of space occupied by an object in a plane. Learn about areas of different simple and complex shapes, formulas along with examples, only at BYJU’S.
This paper is motivated by one of Aldous’s open problems about the characterisation of the ‘most random martingale’. To be more precise, given a match of lengthT>0, for two players—or two teams—of equal level, denote byXtthe winning probability of one player (or one team) at time...
for real , together with other familiar formulae such as , , , etc. We will use these sorts of algebraic manipulations in the sequel without further comment. The unit quaternions act on the imaginary quaternions by conjugation: This action is by orientation-preserving isometries, hence by ...
for all natural numbers , where the generalised von Mangoldt functions are defined by the formula These functions behave like the von Mangoldt function, but are concentrated on -almost primes (numbers with at most prime factors) rather than primes. The right-hand side of (5) corresponds to ...
Understanding the F.O.I.L Technique When I tell people that I'm a high school math teacher, they often share with me what bits of their algebra class they remember. Along with the quadratic formula, the topic I hear the most about is F.O.I.L. It's an acronym that stands for Firs...
According to the potential energy definition, it is the energy that is stored in an object. Know what is potential energy, potential energy definition, its types and examples at BYJU’S - The Learning App.