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J. D. Bulnes,T. Kim,J. Lopez-Bonilla,S. Vidal-Beltran 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.1
t. In this paper, we exhibit short deductions of the Jha and Malenfant expressions for the partition function, and we show several connections between the Euler, divisor and partition functions via the partial Bell polynomials and Hessenberg determinants. Besides, we show that the Gandhi’s recurrence relation for colour partitions implies the Osler-Hassen-Chandrupatla’s expression for the divisor function
Weak screening of a large dipolar molecule adsorbed on graphene
Kong, Lingmei,Perez Medina, G.J.,Coló,n Santana, J.A.,Wong, F.,Bonilla, M.,Coló,n Amill, D.A.,Rosa, L.G.,Routaboul, L.,Braunstein, P.,Doudin, B.,Lee, Chang-Mook,Choi, Jaewu,Xiao, Jie,Dowbe Elsevier 2012 Carbon Vol.50 No.5
<P><B>Abstract</B></P><P>We compare the electronic structure of a quinonoid zwitterionic type molecule adsorbed on both gold and graphene on copper substrates. This (6<I>Z</I>)-4-(butylamino)-6-(butyliminio)-3-oxocyclohexa-1,4-dien-1-olate, C<SUB>6</SUB>H<SUB>2</SUB>(⋯_NHR)<SUB>2</SUB>(⋯_O)<SUB>2</SUB> where R=<I>n-</I>C<SUB>4</SUB>H<SUB>9</SUB>, film is made of small molecules with a large intrinsic dipole of 10Debyes. We find that the photoemission and inverse photoemission final states are well screened for these dipolar molecules on gold. This is not observed when they are adsorbed on graphene on copper. This weaker screening results in a larger highest occupied molecular orbital to lowest unoccupied molecular orbital gap for the molecules on graphene.</P>
L. Chávez-Guerrero,M. Esneider,J. Bonilla,A. Toxqui-Terán 한국섬유공학회 2020 Fibers and polymers Vol.21 No.1
Agave fibers were extracted mechanically without the use of solvents or water, through a lyophilization-assistedmethod. Then, the internal arrangement of the fibrils was studied in order to elaborate a hierarchical growing model, usingthis information to explain the outstanding properties of these natural fibers. We found that the lyophilized fibers have aninitial modulus of 36.7 g/den, a breaking tenacity of 1.45 g/den and an elongation of 17 %, while the fibers washed with waterafter extraction presented a similar value of initial modulus (31.1 g/den), but the breaking tenacity (2.59 g/den), and theelongation (34 %) increased nearly two times, showing the embrittling effect of the freeze-drying on the fibers behavior.