Natural Commuting of Vanishing Cycles and the Verdier Dual

Commuting holonomies and rigidity of holomorphic foliations

In this article we study deformations of a holomorphic foliation with a generic non-rational first integral in the complex plane. We consider two vanishing cycles in a regular fiber of the first integral with a non-zero self intersection and with vanishing paths which intersect each other only at their start points. It is proved that if the deformed holonomies of such vanishing cycles commute t...

Comparison of Performances for Air-Standard Atkinson and Dual Combustion Cycles with Heat Transfer Considerations

There are heat losses during the cycle of real engine that are neglected in ideal air-standard analysis. In this paper, the effect of heat transfer on the net output work is shown and thermal efficiency of the air-standard Atkinson and the Dual combustion cycles are analyzed. Comparison of performances of the air-standard Atkinson and the Dual combustion cycles with heat transfer considerations...

Dual multiwavelet frames with symmetry from two-direction renable functions

Experimental Investigation of The Performance Response of A Spark Ignition Engine to Adding Natural Gas to Gasoline in Lean-Burn Condition

Considering the disadvantages of gasoline and natural gas as mono-fuel in SI engines has made the researchers to improve the performance and reduce the pollutant as the advantages of the application of dual fuel engines. On the other hand, lean-burn in engine may lead to the reduced pollutant. In the present study various mixtures of gasoline and natural gas with the gasoline as the dominant fu...

Commuting Decompositions of Complete Graphs

We say that two graphs G and H with the same vertex set commute if their adjacency matrices commute. In this article, we show that for any natural number r, the complete multigraphK n is decomposable into commuting perfect matchings if and only if n is a 2-power. Also, it is shown that the complete graph Kn is decomposable into commuting Hamilton cycles if and only if n is a prime number. © 200...