The original version of this story appeared in Quanta Magazine. Among the myriad abilities that humans possess, which ones are uniquely human? Language has been a top candidate at least since ...

How many 'blue' phrases do you know? Learn three more here.

Learn about finite risk insurance, its types, how it works, benefits, and criticism to make informed financial decisions and ...

First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...

Sometimes you can guess the meaning of a phrasal verb because it is related to the main verb. Look at this example again. Shall we give away all the old books in the office? The meaning is clearly ...

Abstract: This paper addresses the finite-time tracking problem of nonlinear pure-feedback systems. Unlike the literature on traditional finite-time stabilization, in this paper the nonlinear system ...

Abstract: We present a comprehensive tutorial on the finite-difference time-domain (FDTD) modeling of space, time, and space-time-varying media, building upon our previous review by offering a ...

The five patterns illustrated below provide the basis for all other sentence structures: that is, other kinds of sentences are transformations of these basic patterns. Though the above sentences are ...

Dec 7, 2025 There are two ways to stick SU(2) × SU(3) in Spin(10). One is good for physics; the other, alas, is easily obtained using the octonions.