Abstract: Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper presents an ...

Cutline Stu Wallace, executive director, East Liverpool Community Revitalization Partnership, Lisa Painter, deputy director, LeapHub, Mayor Bobby Smith and Safety Service Director Bill Jones stand ...

Abstract: In the field of computer science, sorting algorithms are crucial because they facilitate the effective processing and arrangement of data in a variety of scenarios, including data analysis, ...

The 2026 U.S. Open tees off on Thursday at 6:35 a.m. ET at Shinnecock Hills Golf Club in Southampton, N.Y. Rory McIlroy (Masters) and Aaron Rai (PGA Championship) were the year's first two major ...

This story is free to read because readers choose to support LAist. If you find value in independent local reporting, make a donation to power our newsroom today. California will not consider the city ...

Our NYT Midi Crossword Hints for June 17, 2026 will help you work your way through the mid-size grid if a clue has you stumped. The New York Times Midi Crossword sits between the Mini and the ...

Mavrik Bourque is a prime breakout candidate on a capped-out team. Tom Pennington / Getty Images With the growing salary cap, teams have more money to spend this summer. Except it’s tough to find ...

One race later, Kayinsola Ajayi put on a show in the men's 100 meters, finishing in 9.72 (+2.2). While the wind was 0.2 over the allowable, it's the second-fastest time all-conditions in collegiate ...

What if time isn’t woven into the fabric of reality at all? A new experiment suggests that the past-to-future march we experience every day could arise from the internal dynamics of a system. Using 24 ...

The 2026 NCAA DI outdoor track and field championships are complete. The Arkansas men won the team title while the Georgia repeated as national champions at Hayward Field in Eugene, Oregon. Here's a ...

A University of Birmingham scientist has built a "mini-universe" that takes a step toward answering one of science's biggest questions: "What is time?" Publishing his findings in Physical Review ...

Some of the most memorable moments at the 2026 FIFA Men's World Cup may come after the clock hits 90 minutes and extra time is added to a match. Games can often be tied at the end of regulation at the ...