Local functional

Therapeutic Function Local anesthetic Chemical Name dl-1-butyl-2, 6 -pipecoloxylidide Common Name —... 

Therapeutic Function Local anesthetic, antiarrhythmic Chemical Name 2-(diethylamino)-N-(2,6-dimethylphenyl)acetamide Common Name Lignocaine... 

The natural orbitals %2v and %3p are, in contrast to the hydrogenlike functions, localized within approximately the same region around the nucleus as the Is orbital. This means that the polarization caused by the long-range interaction is associated mainly with an angular deformation of the electronic cloud on each atom. If %2p and %3p are expanded in the standard hydrogen-like functions, an appreciable contribution will again come from the continuum. 

In single-scale filtering, basis functions are of a fixed resolution and all basis functions have the same localization in the time-frequency domain. For example, frequency domain filtering relies on basis functions localized in frequency but global in time, as shown in Fig. 7b. Other popular filters, such as those based on a windowed Fourier transform, mean filtering, and exponential smoothing, are localized in both time and frequency, but their resolution is fixed, as shown in Fig. 7c. Single-scale filters are linear because the measured data or basis function coefficients are transformed as their linear sum over a time horizon. A finite time horizon results infinite impulse response (FIR) and an infinite time horizon creates infinite impulse response (HR) filters. A linear filter can be represented as... 

Abstract. The development of modern spectroscopic techniques and efficient computational methods have allowed a detailed investigation of highly excited vibrational states of small polyatomic molecules. As excitation energy increases, molecular motion becomes chaotic and nonlinear techniques can be applied to their analysis. The corresponding spectra get also complicated, but some interesting low resolution features can be understood simply in terms of classical periodic motions. In this chapter we describe some techniques to systematically construct quantum wave functions localized on specific periodic orbits, and analyze their main characteristics. 

A maximally localized Wannier function analysis84-86 was performed to better analyze the bonding in our simulations. The maximally localized Wannier functions express the quantum wave function in terms of functions localized at centers, rather than as delocalized plane waves. The positions of these centers give us insight into the localization of charge during the... 

Since the hydrogenlike Sturmian basis functions form a complete set, the term %i,o,o(xy-R) can be represented as a single-center expansion in terms of functions localized at the origin ... 

The IGFBPs probably fulfil several biological functions in addition to preventing hypoglycaemia. They likely protect the mitogen (e.g. from proteolysis) in the blood, and appear to significantly increase the IGF s plasma half-life. They also probably modulate IGF function locally at the surface of IGF-sensitive cells. 

Most proteins exist in several modified forms influencing the molecular structure, function, localization, and turnover. 

The first type of interaction is often associated with the overlap of wave functions localized at different sites in the initial and final states. The strength of the interaction therefore determines the rate of electron transfer between the sites. The second and third types are especially important when considering vibronic relaxation of excited electronic states. 

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