The same thing happens with the Pythagorean theorem, where in school, most examples end up solving out to Pythagorean triples, the small set of integer values that work cleanly into the Pythagorean ...

Sylvan Burgstahler, An Algorithm for Solving Polynomial Equations, The American Mathematical Monthly, Vol. 93, No. 6 (Jun. - Jul., 1986), pp. 421-430 ...

The core of polynomial coefficient solving is to solve the system of equations Mθ = YS, where θ = [ c T , A ] T and the augmented matrix M = [ V S , Φ ] . Aiming at the ill-posedness of the ...

Khwārizmī, sometimes known as the father of algebra, was one of the most influential thinkers of all time. He revolutionised algebra and his seminal works in mathematics, astronomy and geography have ...

About ## Problem Statement In this assignment, you'll work on a simplified version of Shamir's Secret Sharing algorithm. Consider an unknown polynomial of degree m. You would require m+1 roots of the ...

Excel and Google Sheets have three functions to calculate the internal rate of return: IRR, XIRR, and MIRR. Learn how these functions can calculate investment returns.

Explore how blockchain cryptography safeguards digital assets through encryption, hash functions, and advanced techniques ...

Blockchain security relies heavily on cryptographic primitives like public-key encryption, digital signatures, and hash functions. In current systems, techniques such as RSA and elliptic curve ...

Modern symbolic execution techniques face the challenge of handling closed-box (CB) functions (e.g., system calls, library functions) whose source code is unavailable. One interesting solution in the ...

Daniele Struppa will be returning to the classroom and research, though he never really left it during his decade leading the ...

Legend-KINN: A Legendre Polynomial-Based Kolmogorov-Arnold-Informed Neural Network for Efficient PDE Solving Zhuo Zhang, Xiong Xiong, Sen Zhang, Wei Wang, Yanxu Zhong, Canqun Yang, Xi Yang Note: Our ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...