When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording the diffraction patterns formed by shining a laser beam through it. At the ...

Lie groups furnish a unifying framework in which group theory and smooth geometry intersect. As smooth manifolds endowed with a group operation that is infinitely differentiable, Lie groups serve as ...

A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

FFT-EM is an innovative method that represents a combination of FFT and EM techniques such as scanning electron microscopy (SEM). The technique is often used to determine the interior and surface ...

An interesting aspect of time-varying waveforms is that by using a trick called a Fourier Transform (FT), they can be represented as the sum of their underlying frequencies. This mathematical insight ...

The spin-off company ParityQC has implemented the largest quantum Fourier transform ever reported using an IBM quantum computer, thereby setting a new milestone on the path toward the industrial ...

FTIR deals with the infrared region of the electromagnetic spectrum, and it works by measuring how much light is absorbed by the bonds of vibrating molecules to provide a molecular fingerprint. The ...