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Abstract: It is well-known that solutions to parametric linear or quadratic programs are continuous piecewise affine functions of the parameter. In this paper we prove the converse, i.e. that every ...

Abstract: The discontinuous dynamical behavior of a modified Duffing-Rayleigh system with a piecewise quadratic function is studied. The necessary and sufficient conditions for motion switchability at ...

Bob has been designing hardware and coding software for decades. He likes to draw and write. He’s a web cadet wannabe. Bob has been designing hardware and coding software for decades. He likes to draw ...

As the global population ages, supporting older adults in maintaining their cognitive and memory functions has become a pressing concern. The United Nations estimates that by the 2070s, there will be ...

Practical word problems are often considered one of the most complex parts of elementary school mathematics. They require students to understand the context of a math problem, identify what the ...

Emily Sharp and Kunal Nabar collaborate on a puzzle that’s greater than the sum of its parts. By Caitlin Lovinger Jump to: Tricky Clues | Today’s Theme SUNDAY PUZZLE — Will Shortz, in his print ...

Researchers have identified acute effects of cigarette and e-cigarette smoking on vascular function, even without nicotine. The results of the ongoing research are being presented next week at the ...

Storytelling and mathematics don’t naturally go together. The best way to spark a discussion about a math topic in a classroom can be unpopular with many students: solving word problems. Word problems ...

You may have heard of the scapula before, though it is more commonly called the shoulder blade. Scapulas play a very important role in the way your arms, shoulders, and back move. The scapula is a ...