Quality of contracted Gaussian-type function basis sets

2004 ◽  
Vol 120 (13) ◽  
pp. 5938-5945 ◽  
Author(s):  
Hiroshi Tatewaki ◽  
Toshikatsu Koga ◽  
Tsuyoshi Shimazaki ◽  
Shigeyoshi Yamamoto
Keyword(s):  
Basis Sets ◽  
Type Function ◽  
Gaussian Type ◽  
Gaussian Type Function

Gaussian-type function set without prolapse for the Dirac-Fock-Roothaan equation

2003 ◽  
Vol 24 (15) ◽  
pp. 1823-1828 ◽  
Author(s):  
Hiroshi Tatewaki ◽  
Yoshihiro Watanabe
Keyword(s):  
Type Function ◽  
Gaussian Type ◽  
Gaussian Type Function

Velocity Distribution of Secondary π Mesons Produced in Interactions of 70 GeV/c Protons with the Nuclei (CNO) and (Ag, Br)

1975 ◽  
Vol 53 (9) ◽  
pp. 935-936
Author(s):  
B. K. Bandyopadhyay ◽  
I. K. Daftari
Keyword(s):  
Experimental Data ◽  
Velocity Distribution ◽  
Center Of Mass ◽  
Type Function ◽  
Gaussian Type ◽  
Nuclear Interactions ◽  
Mass Frame ◽  
Usual Criterion ◽  
Gaussian Type Function

One hundred nuclear interactions produced by 70 GeV/c protons with photoemulsion nuclei have been analyzed. The velocity distribution of the secondary π mesons produced in these interactions was studied. A Gaussian type function is observed to simulate the experimental data which confirms the usual criterion of isotropy in the center of mass frame.

Gaussian-type function set without prolapse for the Dirac-Fock-Roothaan equation (II): Hg80 through Lr103

2006 ◽  
Vol 125 (5) ◽  
pp. 054106 ◽  
Author(s):  
Shigeyoshi Yamamoto ◽  
Hiroshi Tatewaki ◽  
Yoshihiro Watanabe
Keyword(s):  
Type Function ◽  
Gaussian Type ◽  
Gaussian Type Function

CMOS IMPLEMENTATION OF A VOLTAGE-MODE FUZZY MIN-MAX CONTROLLER

1996 ◽  
Vol 06 (02) ◽  
pp. 171-184 ◽  
Author(s):  
Y. OTA ◽  
B.M. WILAMOWSKI
Keyword(s):  
Membership Function ◽  
Closed Loop ◽  
General Purpose ◽  
Closed Loop Control ◽  
Type Function ◽  
Loop Control ◽  
Gaussian Type ◽  
Control Scheme ◽  
Cmos Implementation ◽  
Gaussian Type Function

In this paper, a general-purpose fuzzy min-max network using a Gaussian-type membership function fuzzifier is proposed. Particularly, CMOS implementations of the Gaussian-type membership function fuzzifier circuits, min-max operators, and the defuzzifier circuit are analyzed. Programmability of the proposed Gaussian-type function fuzzifier can be achieved by changing the gate voltages and the sizes of transistors in the differential pairs. A closed-loop control scheme is used between the fuzzifier and defuzzifier blocks to compensate the global normalization of the denominator in the division of a centroid calculation in the defuzzifier block.

Net charges and valence AO's in the methylamines; the hydrogen basis set and the properties of nitrogen

1985 ◽  
Vol 63 (7) ◽  
pp. 1487-1491 ◽  
Author(s):  
Giuseppe Del Re ◽  
Sándor Fliszár ◽  
Michel Comeau ◽  
Claude Mijoule
Keyword(s):  
Basis Set ◽  
Basis Sets ◽  
Methyl Groups ◽  
Extended Form ◽  
Amine Nitrogen ◽  
Methyl Group ◽  
Net Charges ◽  
Extended Basis

Net charges and valence AO's for ammonia, methylamine, dimethylamine, and trimethylamine were calculated using extended basis sets. Superposition effects, evaluated by replacing Pople's standard 6-31G* basis by an extended form in which the basis of the ammonia H atoms and of the methyl groups of trimethylamine are retained in the treatment of each molecule, indicate that the quality of the treatment of amine nitrogen atoms is strongly dependent on the number of methyl groups. A new, augmented basis is proposed for the hydrogens, which appears to be reasonably well balanced: comparison with familiar (e.g., 6-31G*) calculations illustrates in what manner the treatment of nitrogen is worsened when even just one methyl group is replaced by hydrogen unless the impoverishment of the basis is suitably taken care of.

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