Let µ be a probability measure on the real line with finite moments of all orders. Apply the Gram-Schmidt orthogonalization process to the system {1, x, x², . . . , xn, . . .} to get orthogonal ...

Note: The results are numerical approximations. Calculating zeta or gamma values across the full complex plane is inherently difficult, and the outputs may differ from the actual values. I do not take ...

ABSTRACT: In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an ...

To understand the importance of eIF4F components, we employed computational methods on large public datasets to investigate the impact of positive selection on eIF4F dysregulation in cancer. By ...

Abstract: A general approach to arithmetic Fourier transforms is developed. The implementation is based on sine and cosine "killer" procedures pertaining to a generalized Mobius transform involving ...

Simple multiplication errors are primarily shown in whether the lures are related to the operands (relatedness, such as 3 × 4 = 15 vs. 17) or whether the same decades are shared with the correct ...

At 6:21 pm UTC, an address associated with the attacker sent 7,738.05 ETH (worth approximately $13.2 million at the time it was confirmed) to the Euler deployer account. In the same block, another ...

Have you ever been curious about why the number e is so popular in math? Euler’s number, which is an infinitely long decimal, close to 2.71828, pops up naturally in a surprisingly broad range of ...