An elliptic orbifold is the quotient of an curve by a finite group. Eskin and Okounkov proved that generating functions for number branched covers with specified ramification are quasimodular forms full modular group $SL_2(\mathbb{Z})$. They later generalized this theorem to enumeration pillowcase, i.e. involution, proving quasi-modularity $\Gamma_1(2)$. We generalize their work cyclic groups o...

In this paper, a series of quasi-static cyclic shear tests were performed on artificial rock joint specimens with natural morphologies at different normal stress levels. After shearing, combined 3D scanning technology and image processing, the morphology parameter, A0θmax∗/(C+1), 36 analyzed directions was measured to investigate damage degradation laws surfaces. The polar curves roughness para...

Cyclic steps are widespread on submarine slopes of many modern insular volcanoes. This paper provides the first detailed description and interpretation sedimentary structures depositional architecture cyclic-step deposits such bedforms formed slope an ancient volcano. The partially cyclic preserved in a 67 m thick coset 1 to 12 cobble-based units middle Miocene volcaniclastics, exposed along cl...

this paper presents the results of a series of monotonic and post-cyclic triaxial tests carried out on a clay specimen and three types of clay-sand mixed specimens. the focus of the paper is on the post-cyclic mechanical behavior of the mixed specimens, as compared to their monotonic behavior. analyses of the tests results show that cyclic loading degrade undrained shear strength and deformatio...

Theoretical justification for preferential heterochiral cyclic trimerization of 5-(aminoethyl)-2-furancarboxylic acid (AEFC) is attempted using density functional theory (DFT) calculations. Results from explicit solvent assisted reaction pathways indicate greater stability of heterochiral cyclic tripeptides over their homochiral counterparts, contrary to findings from gas phase and implicit sol...

mixed clayey soils occur as mixtures of sand (or gravel) and clay in widely varying proportions. their engineering behavior has not been comprehensively studied yet. an experimental program, comprising monotonic, cyclic, and post-cyclic triaxial tests was undertaken on compacted clay-granular material mixtures, having different proportions of clay and sand or gravel. this paper presents the res...