Abstract: In this article, we investigate both over- and under-approximations of reachable sets for analytic autonomous dynamical systems beyond polynomial dynamics. We start with the concept of ...

Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference ...

Update: Apple says the issues affecting Find My and Apple Maps have been resolved. Original story below. Amid sporadic reports on social media, Apple has confirmed ongoing problems affecting Find My ...

Panthers find new low in embarrassing play sequence to end first half down 19-3 Originally posted on Carolina Panthers on SI By Tim Weaver | Last updated Oct 26, 2025 2:43 PM ET ...

When US President Donald Trump demands that South Korea and Japan each provide colossal sums — $350 billion and $550 billion, respectively — to invest in the US, it stretches the limits of diplomacy ...

Editor's note: For coverage Thursday, Oct. 16, of the government shutdown, click here. WASHINGTON – A federal judge on Wednesday temporarily blocked the Trump administration's mass layoffs as the ...

A linear sequence repeatedly increases or decreases by the same amount. The number added (or subtracted) at each stage of the linear sequence remains the same. STEP 1 - You can solve problems using ...

With Labour’s second autumn Budget fast approaching, speculation about further tax rises has grown rife. Chancellor Rachel Reeves may need to find at least £22bn next month, pre-Budget research from ...

Michael Boyle is an experienced financial professional with more than 10 years working with financial planning, derivatives, equities, fixed income, project management, and analytics. Suzanne is a ...

Mathematician Grigori Perelman solved the Poincaré conjecture, and then rejected the $1 million prize that came with it.