They detailed their approach April 8 in the journal The American Mathematical Monthly. A polynomial is a type of algebraic equation that involves variables raised to a non-negative power — for ...

This new tool bridges algebra and geometry, solving for equations involving polynomials of any degree. Through this new sequence, the researchers identified a novel mathematical pattern ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: Some bounds for the trace and determinant of the solution to the algebraic Riccati and Lyapunov matrix equations are presented. These bounds give information on "mean size" of the solution ...

Abstract: A simple scaling procedure for discrete-time Riccati equations is introduced. This procedure eliminates instabilities which can be associated with the linear equation solution step of the ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...

Two girls at a back table sang, their worksheets empty ... “To do that, we needed to have them take Algebra 1 in eighth grade.” Many math experts warned against the move.

Two girls at a back table sang, their worksheets empty. Two boys pulled up games ... “To do that, we needed to have them take Algebra I in eighth grade.” Many math experts warned against the move.

Two girls at a back table sang, their worksheets empty ... “To do that, we needed to have them take Algebra I in eighth grade.” Many math experts warned against the move.

The district’s experiment unfolds daily in Ernest Yago’s cheerfully cluttered math ... over worksheets — the thinking is they will be better prepared for the rigors of eighth grade algebra.

Like learning to read by third grade, taking eighth grade math is a pivotal moment in a child’s education. Students who pass Algebra 1 in eighth grade are more likely to sign up for more advanced math ...

In many places it's become a fundamental part of the middle school math curriculum, too. In recent years, more students have begun taking Algebra 1 in eighth or even seventh grade – something ...