Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

Scientists have developed a computation which simultaneously doubles the resolution, sensitivity and mass accuracy of Fourier Transform Mass Spectrometry (FTMS) at no extra cost. Scientists at the ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered ...

Researchers in the University’s Department of Chemistry have solved the 40-year-old phasing problem which allows plotting of spectra in absorption mode. This breakthrough can be used in all (Fourier ...

The Fourier transform underpins so much of our technological lives, in most cases probably without our realising it. The ability to mathematically split a waveform into its frequency components and ...

We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms to be bounded between weighted 𝐿𝑝-𝐿𝑞 spaces. As an important example, we investigate transforms ...

This example processes framebuffer data from the Mozilla Audio Data API MozAudioAvailable event. The Fast Fourier Transform algorithm is used to obtain audio frequency levels which are then charted in ...

Many authors have studied the rate of average decay of the Fourier transform of measures because of its relationship with the Falconer’s conjecture. Although examples have been given showing that the ...

Scientists at the University of Warwick have developed a computation which simultaneously doubles the resolution, sensitivity and mass accuracy of Fourier Transform Mass Spectrometry (FTMS) at no ...