Recent Developments In Mathematics

1. The seventeen clues

In 2012, McGuire, Tugemann, and Civario proved that the smallest number of clues which uniquely determine a Sudoku puzzle is 17. (Although not every collection of 17 clues yields a unique solution, their theorem establishes that there can never be a valid Sudoku puzzle with only 16 clues.).

For additional info http://www.math.ie/checker.html

2. The Riemann Hypothesis

  The Riemann Hypothesis is generally seen as the biggest open problem in current mathematics. Standing since 1859, it relates to how prime numbers work, and connects to many other branches of math. Researchers, in 2019, proved something directly related to the Riemann hypothesis. Their proof is both insightful toward solving the big question, and fascinating in its own right.

Refer https://mathscholar.org/2019/05/mathematicians-prove-result-tied-to-the-riemann-hypothesis/

3. Kirigami Gets Mathematized

Researchers from the  Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS) have developed a mathematical framework that can turn any sheet of material into any prescribed shape, inspired by the paper craft kirigami (from the Japanese, kiri, meaning to cut and kami, meaning paper).  Unlike its better-known cousin origami, which uses folds to shape paper, kirigami relies on a pattern of cuts in a flat paper sheet to change its flexibility and allow it to morph into 3D shapes.

For more info: https://www.seas.harvard.edu/news/2019/08/shape-shifting-sheets

4. A Breakthrough in Ramsey Theory

Is there a lottery ticket that always wins? In Ramsey Theory, mathematicians look for predictable patterns amidst large amounts of chaos. This question from 1969 was finally answered in 2019 that an ever-winning lottery ticket does not exist.

For more info: https://www.sciencedaily.com/releases/2019/09/190909104534.htm

5. A new way of solving a quadratic equation

A mathematician has derived an easier way to solve quadratic equation problems, according to MIT’s Technology Review. Quadratic equations are polynomials that include an x², and teachers use them to teach students to find two solutions at once.The new process developed by Dr. Po-Shen Loh at Carnegie Mellon University, goes around traditional methods like completing the square and turns finding roots into a simpler thing involving fewer steps that are also more intuitive. Here’s Dr. Loh’s explainer video.

and this method is explained in detail :