ABSTRACT: Let G be a compact connected Lie group with Lie algebra g , H 1 a normal subgroup of G with Lie algebra h 1 , and H 2 ⊆ H 1 a normal subgroup with Lie algebra h 2 . This paper establishes an ...

Boolean expressions and Boolean logic are widely used in mathematics, computer science, computer programming, and philosophy. These take their name from the 19 th century mathematician and logician ...

Booleans may seem harmless, but using them can be fraught with peril. When you can’t avoid them, follow these five rules. Booleans are deceptively simple. They look harmless—just true or false, right?

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

In math, Algebra 1 is a make-or-break course. The class is the gateway to high school math, and struggling to complete it can close off those higher-level pathways—and even jeopardize students’ ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

One of the landmarks of Kyoto, the home of Japanese mathematician Masaki Kashiwara, is the Kamo River. At certain points, there are stepping stones that allow residents to cross the river away from ...

A compelling introduction is crucial for making a strong first impression in your cover letter. Personalize your cover letter by addressing the hiring manager by name and tailoring your opening to ...