Download Paper 1 and 2 Syllabus for KARTET Download Karnataka TET Syllabus for Specific Subjects Check the exam pattern for KARTET Paper 1 and 2 Karnataka TET Syllabus 2025: The Department of School ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...

Abstract: We have developed several methods of designing sparse periodic arrays based upon the polynomial factorization method. In these methods, transmit and receive aperture polynomials are selected ...

ABSTRACT: This work introduces a modification to the Heisenberg Uncertainty Principle (HUP) by incorporating quantum complexity, including potential nonlinear effects. Our theoretical framework ...

Msieve is the result of my efforts to understand and optimize how integers are factored using the most powerful modern algorithms. This documentation corresponds to version 1.54 of the Msieve library.

We implement in an IBM quantum computer a quantum algorithm for multivariate polynomial factoring and propose a noise-avoiding protocol to distill the experimental results in the presence of noise.

1 College of Computer Science and Technology, Shanghai University of Electric Power, Shanghai, China 2 Institute of Logistics Science and Engineering, Shanghai Maritime University, Shanghai, China The ...