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Interpreting the number of ramified covering of a Riemann surface by Riemann surfaces as the relative Gromov-Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of a Riemann surface by Riemann surface with elementary branch points and prescribed ramification type over a special point.
Defect prediction on projects with limited historical data has attracted great interest from both researchers and practitioners. Cross-project defect prediction has been the main area of progress by reusing classifiers from other projects. However, existing approaches require some degree of homogeneity (<i>e.g.</i>, a similar distribution of metric values)… (More)
The main purpose of this paper is to obtain the wellposed-ness of abstract parabolic systems in the sense of Petrovsij and Shilov under sharper conditions by using regularized semi-groups. We also consider these systems with time-dependent coeecients, and give the applications to the corresponding parabolic systems on many function spaces.
This paper proposes an adaptive photon tracing approach based on a novel importance function, which combines visual importance and photon path visibility. The generation of photon path is guided by sampling this function to trace more photons to visible and more contributive regions. As a first step, a hierarchy of visual importance maps is constructed.… (More)
Interpreting the number of ramified covering of the sphere by Riemann surface as the relative Gromov-Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of the sphere by Riemann surface with any genus, with elementary branch points and prescribed ramification type over infinity.
This paper is concerned with Schrödinger equations whose principal operators are homogeneous elliptic. When the corresponding level hypersurface is convex, we show the L p-L q estimate of solution operator in free case. This estimate, combining with the results of fractionally integrated groups, allows us to further obtain the L p estimate of solutions for… (More)
The connotation and technical flow of visual design and calculation system were researched synthetically. On the basis of these, a visual design system in differential gear based on B/S and C/S hybrid mode has been built. The frame structure and function modules of the system are discussed in detail. The differential gear visual design system has carried on… (More)