What is meant by Fourier?

: an infinite series in which the terms are constants multiplied by sine or cosine functions of integer multiples of the variable and which is used in the analysis of periodic functions.

What is the Fourier trial?

Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk (FOURIER) was a dedicated cardiovascular outcomes trial that tested the clinical efficacy and safety of evolocumab when added to high-intensity or moderate-intensity statin therapy in patients with clinically evident …

What is Fourier phase?

Similarly, the Fourier transform represents the amplitude and phase of every sinusoid present in a (possibly non-periodic) function f. The Fourier transform uses an integral (or “continuous sum”) that exploits properties of sine and cosine to recover the amplitude and phase of each sinusoid in a Fourier series.

What is a Fourier series used for?

Fourier series, in mathematics, an infinite series used to solve special types of differential equations. It consists of an infinite sum of sines and cosines, and because it is periodic (i.e., its values repeat over fixed intervals), it is a useful tool in analyzing periodic functions.

Does Repatha reduce mortality?

Patients on Repatha experienced a reduction in the risk of heart attack (27 percent, nominal p<0.001), stroke (21 percent, nominal p=0.01) and coronary revascularization (22 percent, nominal p<0.001). Consistent with recent trials of more intensive LDL lowering, there was no observed effect on cardiovascular mortality.

What is the Fourier series used for?

What is the main purpose of Fourier analysis?

Fourier analysis is a type of mathematical analysis that attempts to identify patterns or cycles in a time series data set which has already been normalized. In particular, it seeks to simplify complex or noisy data by decomposing it into a series of trigonometric or exponential functions, such as sine waves.

What does the Fourier transform do?

What is the Fourier transform? At a high level the Fourier transform is a mathematical function which transforms a signal from the time domain to the frequency domain. This is a very powerful transformation which gives us the ability to understand the frequencies inside a signal.

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