Free Republic

A University of New South Wales (UNSW) Sydney mathematician has revealed the first successful solution of an 'impossible' equation once considered unsolvable.Described as algebra's oldest problem, previous efforts to solve 'higher order' polynomial equations have consistently failed, leaving mathematicians without a critical tool. The new method solves that problem, potentially changing mathematics forever."Our solution reopens a previously closed book in mathematics history," said UNSW Honorary Professor Norman Wildberger, who led the research...According to a statement from the University announcing the solution to algebra's oldest impossible equation, polynomials are represented by an established equation. For example, the degree two polynomial would...

The three-body problem, which has been a focus of scientific study for over 400 years, represented a stumbling block for famous astronomers such as Isaac Newton and Johannes Kepler. Scientists at Technion-Israel Institute of Technology have found a solution to one of physics' greatest questions in a paper published this month. The paper, published in Physical Review X, focuses on the three-body problem, which concerns the orbits of the Sun, Earth, and the Moon. While in a binary orbit system consisting of two celestial bodies, the orbits can be accurately predicated mathematically, while the complex interactions of a three-body problem...