Abstract: This paper provides a construction method of a smooth homogeneous Lyapunov function associated with a discontinuous homogeneous system, which is locally and asymptotically stable. First, we ...

To turn engine power into controllable motion, cars rely on something called the differential. A differential allows wheels on the same axle to rotate at different speeds. If you want more information ...

Terms apply to American Express benefits and offers. Visit americanexpress.com to learn more. Any time you tap, swipe or dip a credit or debit card at checkout or enter your card number online, you ...

The meaning of Bobbie Gentry’s 1967 hit “Ode to Billie Joe” has long been a topic of musical debate. To some listeners, the song refers to a secret teenage pregnancy in the conservative Deep South. To ...

Lindsey Ellefson is Lifehacker’s Features Editor. She currently covers study and productivity hacks, as well as household and digital decluttering, and oversees the freelancers on the sex and ...

Let's be honest, the average person has never thought about whether differentials even have fluid. They're not like engines, which require oil changes after about 5,000 to 10,000 miles (or 12,500 if ...

COLUMBUS, Ohio—While ex-U.S. Sen. Sherrod Brown is preparing to run for Senate again in 2026, he’ll first have to get past a Democratic primary challenger who’s ready to sink millions of his own money ...

- [Announcer] Major funding for this program is provided in part by Alan G. Benaroya, and Martin Messinger Symphony Orchestra Fund. (orchestra music) (music) - It is a piece of extremes. - It's a life ...

Ode to Food and Drinks announced this week that after serving as a tenant for 10 years in the Cherapa Place building downtown, it will be moving out. A day later, a new restaurant revealed it would ...

ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.

Neutrino transport plays an important role in core-collapse supernova (CCSN) explosions. Due to the multiscale nature of neutrino transport in CCSN simulations, an implicit treatment is desired. The ...