Paper considers the calculation of the values of Gibbs derivatives on finite Abelian groups. The calculation procedure is based upon the decision diagram representation of functions defined on finite Abelian groups. A...Paper considers the calculation of the values of Gibbs derivatives on finite Abelian groups. The calculation procedure is based upon the decision diagram representation of functions defined on finite Abelian groups. Approach permits processing of large functions.展开更多
After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organiz...After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organize homogeneous divisions of the limited development of the exponential function, that is opening the way to the use of a whole bunch of new primary functions in Differential Calculus. He then shows how new supercomplex products in dimension 3 make it possible to calculate fractals whose connexity depends on the product considered. We recall the geometry of convex polygons and regular polygons.展开更多
Condensation of methyl 7-methylcoumarin-4-acetate(2)with primary amines and with an- thranilic acid gave 7-methyl-2-oxo-N-aryl-2H-[1]-benzopyran-4--acetamide(4a—d)and(7),respectively. Compound 7 underwent cyclization...Condensation of methyl 7-methylcoumarin-4-acetate(2)with primary amines and with an- thranilic acid gave 7-methyl-2-oxo-N-aryl-2H-[1]-benzopyran-4--acetamide(4a—d)and(7),respectively. Compound 7 underwent cyclization to give 2-(7-methyl-2-oxo-2H-[1]-benzopyran-4-yl)-methyl-4H-3,1- benzoxazin-4-one(3).The reaction of 3 with aromatic amines gave the corresponding quinazolone derivatives 5 which tautomerises to the thermodynamically more stable isomer 6,whereas its reaction with Grignard reagents and aromatic aldehydes gave 8a,8b,and 9a,9b,respectively.展开更多
We herein report the electrosynthesis of an aminomethyl functionalized poly（3,4-ethylenedioxythiophene）（PEDOT） derivative, poly（2＇-aminomethyl-3,4-ethylenedioxythiophene）（PEDOT-Me NH2）, in CH2Cl2-Bu4NPF6（0.1...We herein report the electrosynthesis of an aminomethyl functionalized poly（3,4-ethylenedioxythiophene）（PEDOT） derivative, poly（2＇-aminomethyl-3,4-ethylenedioxythiophene）（PEDOT-Me NH2）, in CH2Cl2-Bu4NPF6（0.1 mol·L^-1） system containing 2% boron trifluoride diethyl etherate（BFEE）. The electrochemical behavior, structure characterization, thermal properties and surface morphology of this novel polymer were systematically investigated by cyclic voltammetry（CV）, Fourier-transform infrared spectroscopy（FTIR）, thermogravimetry（TG） and scanning electron microscopy（SEM）, respectively. Electrochemistry results demonstrated that PEDOT-Me NH2 film displayed good redox properties and high electrochemical stability. Besides, PEDOT-Me NH2 films exhibited the electrochromic nature with obvious color changing from purple in the reduced form to blue upon oxidation. By further investigation, kinetic studies revealed that PEDOT-Me NH2 film had decent contrast ratio（41.8%）, favorable coloration efficiency（152.1 cm^2·C^-1）, low switching voltages and moderate response time（2.4 s）. Satisfactory results implied that the obtained PEDOT-Me NH2 film is a promising optoelectronic material and holds promise for electrochromic devices and display applications.展开更多
文摘Paper considers the calculation of the values of Gibbs derivatives on finite Abelian groups. The calculation procedure is based upon the decision diagram representation of functions defined on finite Abelian groups. Approach permits processing of large functions.
文摘After having laid down the Axiom of Algebra, bringing the creation of the square root of -1 by Euler to the entire circle and thus authorizing a simple notation of the nth roots of unity, the author uses it to organize homogeneous divisions of the limited development of the exponential function, that is opening the way to the use of a whole bunch of new primary functions in Differential Calculus. He then shows how new supercomplex products in dimension 3 make it possible to calculate fractals whose connexity depends on the product considered. We recall the geometry of convex polygons and regular polygons.
文摘Condensation of methyl 7-methylcoumarin-4-acetate(2)with primary amines and with an- thranilic acid gave 7-methyl-2-oxo-N-aryl-2H-[1]-benzopyran-4--acetamide(4a—d)and(7),respectively. Compound 7 underwent cyclization to give 2-(7-methyl-2-oxo-2H-[1]-benzopyran-4-yl)-methyl-4H-3,1- benzoxazin-4-one(3).The reaction of 3 with aromatic amines gave the corresponding quinazolone derivatives 5 which tautomerises to the thermodynamically more stable isomer 6,whereas its reaction with Grignard reagents and aromatic aldehydes gave 8a,8b,and 9a,9b,respectively.
基金financially supported by the National Natural Science Foundation of China(Nos.51263010,51303073,51272096 and 51403008)Natural Science Foundation of Jiangxi Province(Nos.20122BAB216011,20142BAB206028 and 2014BAB216029)the Science and Technology Landing Plan of Universities in Jiangxi province(No.KJLD14069)
文摘We herein report the electrosynthesis of an aminomethyl functionalized poly（3,4-ethylenedioxythiophene）（PEDOT） derivative, poly（2＇-aminomethyl-3,4-ethylenedioxythiophene）（PEDOT-Me NH2）, in CH2Cl2-Bu4NPF6（0.1 mol·L^-1） system containing 2% boron trifluoride diethyl etherate（BFEE）. The electrochemical behavior, structure characterization, thermal properties and surface morphology of this novel polymer were systematically investigated by cyclic voltammetry（CV）, Fourier-transform infrared spectroscopy（FTIR）, thermogravimetry（TG） and scanning electron microscopy（SEM）, respectively. Electrochemistry results demonstrated that PEDOT-Me NH2 film displayed good redox properties and high electrochemical stability. Besides, PEDOT-Me NH2 films exhibited the electrochromic nature with obvious color changing from purple in the reduced form to blue upon oxidation. By further investigation, kinetic studies revealed that PEDOT-Me NH2 film had decent contrast ratio（41.8%）, favorable coloration efficiency（152.1 cm^2·C^-1）, low switching voltages and moderate response time（2.4 s）. Satisfactory results implied that the obtained PEDOT-Me NH2 film is a promising optoelectronic material and holds promise for electrochromic devices and display applications.
