Fourier


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Fourier

1. (Fran?ois Marie) Charles . 1772--1837, French social reformer: propounded a system of cooperatives known as Fourierism, esp in his work Le Nouveau monde industriel (1829--30)
2. Jean Baptiste Joseph . 1768-- 1830, French mathematician, Egyptologist, and administrator, noted particularly for his research on the theory of heat and the method of analysis named after him

fourier

[fu̇r·ē‚ā]
(thermodynamics)
References in periodicals archive ?
But scholars have neglected the roles Fourier's writings might have played in the novel despite their central role in both the novel's composition and the history of Brook Farm.
While FOURIER's event curve continued to drop as LDL cholesterol fell below 10 mg/dl , the study's wide-ranging safety assessment showed no signal of harm at the lowest level.
where g(x, y) and G([xi], [eta]) denote the complex amplitude in the spatial domain and Fourier domain, respectively, [absolute value of g(x, y)] and [absolute value of G([xi], [eta])] denote the amplitude in the spatial domain and Fourier domain, respectively, [phi](x, y) and [psi]([xi], [eta]) denote the phase in the spatial domain and Fourier domain, respectively.
The two-sided, right-sided, and left-sided quaternion Fourier transforms (QFTs) of f [member of] [L.sup.1]([R.sup.2]; H) are given by, respectively,
The FOURIER trial included 27,564 high-risk patients with prior MI, stroke, and/or symptomatic peripheral arterial disease (PAD) who had an LDL cholesterol level of 70 mg/dL or more on high- or moderate-intensity statin therapy.
Furthermore, a key substudy of the FOURIER population addressed the important theoretical concern that too-low cholesterol may effect neurologic or cognitive function.
FOURIER (Further Cardiovascular Outcomes Research With PCSK9 Inhibition in Subjects With Elevated Risk) was eagerly anticipated as the first dedicated cardiovascular outcomes trial to report results for a proprotein convertase subtilisin/kexin type 9 inhibitor, the novel drug class that achieves previously unattainable LDL lowering.
In this paper, we propose a method for resolving overlapping signals based on Fourier transform and inverse Fourier transform.
Therefore, combined with optimal control theory, an optimized shape-based method using finite Fourier series, which can easily overcome the above-mentioned shortcomings, is proposed in this paper.
Section 2 derives the explicit equations of Fourier spectrum, envelope spectrum, and the Fourier spectrum of instantaneous frequency in the resonance frequency region, respectively.
where F(x) denotes the Fourier transform (FT) of a signal f(t) and r stands for the sampling interval.