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Hannah Harper had Carrie Underwood in tears as she sang about the chaos of being a mom of three young boys during her “American Idol” audition. “I thought finding peace in the quiet’s what I wanted / ...

Ionia County native Billy Strings netted his third Grammy win in six years on Sunday, Feb. 1, reeling in “Best Bluegrass Album” yet again. Strings, born William Apostol, earned the honors at the 68th ...

For more than a century, scientists have wondered why physical structures like blood vessels, neurons, tree branches, and other biological networks look the way they do. The prevailing theory held ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says ...

Marika Taylor currently receives funding from EPSRC, STFC, UK government deparments and the European Horizon programme. In 1980, Stephen Hawking gave his first lecture as Lucasian Professor at the ...

In 1980, Stephen Hawking gave his first lecture as Lucasian Professor at the University of Cambridge. The lecture was called "Is the end in sight for theoretical physics?" Forty-five years later, ...

Billy Strings lived up to his moniker in his first Minneapolis arena gig, and he’ll be back in September for Farm Aid 40.

Abstract: We present a decision procedure for solving quantifier-free first-order formulas over the theory of strings, involving equality, regular constraints, and concatenation of string terms. Our ...

Sometimes we have two or more lists or tuples, and we want to combine them. We’ve already seen how we can concatenate strings using the + operator. This works for lists and tuples too!