This is a preview. Log in through your library . Abstract It is shown that there exist $2n + 1$ real valued, continuous functions $\phi_0,\ldots, \phi_{2n}$ defined ...

It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An ...

The benchmark tests show that the noise-free realization of QA can significantly outperform state-of-the-art classical algorithms. Quantum annealing (QA) is a cutting-edge algorithm that leverages the ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...