Articles tagged with Algebraic Functions
A mathematician has discovered a new method to solve higher polynomial equations, avoiding classical radicals and infinite decimals. The approach uses novel number sequences connected to combinatorics and geometry, leading to a general solution for degree five polynomials.
Scientists at MIT developed a fully integrated photonic processor that can perform all key computations of a deep neural network optically on the chip. The device completed machine-learning classification tasks in under half a nanosecond while achieving over 92% accuracy, similar to traditional hardware.
Researchers have developed big algebras, a new mathematical tool that connects abstract algebra and geometry, enabling unprecedented insights into symmetry groups. This breakthrough has the potential to strengthen the connection between quantum physics and number theory.
The MU College of Education and Human Development offers a two-year graduate certificate program for Missouri elementary school teachers to enhance their math education teaching skills. The program focuses on collaboration, creativity, and problem-solving in the classroom to promote student confidence and positive experiences with math.
Researchers have found a fundamental connection between two basic integrable hierarchies of solitonic type, KdV and BKP, revealing surprising relationships between these equations. The discovery makes Schur Q-functions a natural basis for expansion of KdV tau-functions.
Mathematicians from RUDN University developed new symbolic integration functionality for the Sage system, building on 19th-century ideas by Karl Weierstrass. The team confirmed that Weierstrass's theory can determine whether an integral can be calculated in elementary functions.
A team of researchers at KAUST has developed a mathematical bridge between high-level symbolic representations and statistical data, enabling artificial intelligence algorithms to make use of vast stores of symbolic knowledge. This breakthrough could lead to significant improvements in machine learning and biomedical applications.
A team of researchers from Aalto University discovered the largest possible q-analog of a Steiner System, a theoretical framework for codes that can be used for efficient data transmission. The breakthrough could lead to more energy-efficient internet connections.
Researchers at Emory University and the University of Queensland have found a framework for the celebrated Rogers-Ramanujan identities, revealing a treasure trove of algebraic numbers and formulas. The breakthrough solves a century-old mystery surrounding Indian math genius Srinivasa Ramanujan's work.
Researchers at Georgia Tech are creating programming tools to enable defense engineers to leverage the processing power of GPUs without requiring specialized knowledge. This development aims to address computational bottlenecks in complex radar and sensor systems.