In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

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 ...

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 on $\mathbf{R}^n$ such that every ...