Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

The laws of physics that concern heat and work could gain a firmer mathematical footing thanks to “gauge theory”, which ...

Shenandoah approved annexation this spring for a new development planned on Wellman Road. (Community Impact staff) (Jessica Shorten/Community Impact) A 6-acre parcel of land newly annexed to the city ...

I read Lacy Martin’s recent "My View" column, Before we vote on property tax cut, we deserve answers, with great interest. I have great respect for Lacy and admire her courage to speak out on her ...

Butler County median home values rose about 19%. How much your tax bill changes will depend on local levies and state rules.

Palm Beach County School District saw improved student performance in English and math across multiple grades. The district ...

Abstract: This technical note discusses fundamental detectability properties associated with the problem of distributed state estimation using networked observers. The main result of the technical ...

Special number sequences—such as Fibonacci, Lucas, Horadam and Jacobsthal families—exhibit rich algebraic structures that underpin a broad spectrum of mathematical theory and application. At their ...

Eighth graders can be successful in Algebra 1, new research suggests—they just might need some extra support. The findings come from a study of San Francisco schools, which has had a turbulent history ...

In this video series, I will show you how to apply the properties of logarithms to solve an equation. The three main properties of logarithms we will focus on will be the product, quotient, and power ...

The San Francisco school board approved a plan to restore algebra as an option at all middle schools, more than a decade after it was removed over equity concerns. By Dana Goldstein The San Francisco ...