The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

If z is a function from the real line R′ to a real Hilbert space X then the covariance function ϱ of z is defined by ϱ(t, s) ≡ (z(t), z(s)). It is proved that the function (z(·), y) is of bounded ...

Let $p > 2$. Among other results, we prove that a Banach space X has the property that every sequence (xn) ∈ ℓp u(X) lies inside the range of an X-valued measure ...

Huge transistor counts, rising on-chip clock rates, the relentlessly escalating levels of integration in systems-on-chip, and the new types of defects seen in deep-submicron and nanometer processes ...