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The Fukui function is named after Kenichi Fukui, who investigated the frontier orbitals described by the function, specifically the HOMO and LUMO. [3] Fukui functions are related in part to the frontier molecular orbital theory (also known as the Fukui theory of reactivity and selection, also developed by Kenichi Fukui) which discusses how nucleophiles attack the HOMO while at the same time ...
Yang's main contributions to theoretical chemistry range from fundamental theory to applications of density functional theory. He (with Parr) developed the concepts of the Fukui function, [1] hardness, and softness [2] in density functional theory. He also justified the theoretical ground of potential functional (as in Optimized-Effective ...
A modified version of MUSIC, denoted as Time-Reversal MUSIC (TR-MUSIC) has been recently applied to computational time-reversal imaging. [11] [12] MUSIC algorithm has also been implemented for fast detection of the DTMF frequencies (Dual-tone multi-frequency signaling) in the form of C library - libmusic [13] (including for MATLAB ...
The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of being lapped: it is designed to be performed on consecutive blocks of a larger dataset, where subsequent blocks are overlapped so that the last half of one block coincides with the first half of the next block.
Any windowing function will be a function of window length, and likewise a function of window number. For example, the equivalent Hamming window would be W [ k , n ] = α − ( 1 − α ) cos 2 π n N [ k ] − 1 , α = 25 / 46 , 0 ⩽ n ⩽ N [ k ] − 1. {\displaystyle W[k,n]=\alpha -(1-\alpha )\cos {\frac {2\pi n}{N[k]-1}},\quad \alpha ...
Plot of normalized function (i.e. ()) with its spectral frequency components.. The unitary Fourier transforms of the rectangular function are [2] = = (), using ordinary frequency f, where is the normalized form [10] of the sinc function and = (/) / = (/), using angular frequency , where is the unnormalized form of the sinc function.
Audacity is a free and open-source digital audio editor and recording application software, available for Windows, macOS, Linux, and other Unix-like operating systems. [4] [5] As of December 6, 2022, Audacity is the most popular download at FossHub, [8] with over 114.2 million downloads since March 2015.
Kenichi Fukui (福井 謙一, Fukui Ken'ichi, October 4, 1918 – January 9, 1998) was a Japanese chemist. [1] He became the first person of East Asian ancestry to be awarded the Nobel Prize in Chemistry when he won the 1981 prize with Roald Hoffmann , for their independent investigations into the mechanisms of chemical reactions .