Representing images in ways other than pixels allows for powerful processing. This subject, based on signal processing, requires a mathematical fluency to understand the concepts fully. Many software ...

Prolate spheroidal wave functions (PSWFs) and their discrete counterparts – the discrete prolate spheroidal sequences (DPSSs) – have emerged as essential tools in the analysis of band‐limited ...

In this note, we observe that the dimension function associated with a wavelet system is the trace of the Gramian fibers of the shift-invariant system generated by the negative dilations of the mother ...

The heart of quantum mechanics is the wave-particle duality: matter and light possess both wave-like and particle-like attributes. Typically, the wave-like properties are inferred indirectly from the ...

At this point we have the necessary framework to combine all these concepts together into the wavelet energy absorption (WEA) method. At this point we have the necessary framework to combine all these ...

A team of Dutch and French researchers has built a microscope that can see atomic wave functions. The team has performed an experiment where they ionised xenon atoms in an electric field and recorded ...

Electrons are elementary particles -- indivisible, unbreakable. But new research suggests the electron's quantum state -- the electron wave function -- can be separated into many parts. That has some ...