Introduction. The Knizhnik-Zamolodchikov-Bernard connection ([22, 5, 27]) can be viewed as a flat connection over the complement det∗g,ν of the zero-section in the total space of the determinant line bundle over the moduli space Mg,ν·12 of genus g curves with ν marked points and tangent vectors ([4]). Projectivization of this connection is the pull-back of a flat projective connection on Mg,ν·1...

the phoneme is considered as the  smallest linguistic unit that is used to distinguish words from each other.  relation between phonology and semantics is  placed in the context of relation between signifier and signified. and disagreement  between linguists continue until now. some of them believe that there are functional roles for phonemes in  innovative text. whereas others believe   that t...

This paper uses the results of river suspended sediment flux (SSF) analysis to propose a new hydrological method for quantitatively estimating the river bed and drainage basin (sheet erosion, rill and gully erosion) components of total erosion intensity in river basins. The suggested method is based on the establishment of the functional power connection between mean monthly water discharges (W...

It has not been possible to analyze the cellular mechanisms underlying learning in behaving mammals because of the difficulties in recording intracellularly from awake animals. Therefore, in the present study of neuronal plasticity in behaving monkeys, the net effect of a single neuron on another neuron (the "functional connection") was evaluated by cross-correlating the times of firing of the ...

We proved a uniqueness theorem of tangent connections for a Yang–Mills connection with an isolated singularity with a quadratic growth of the curvature at the singularity. We also obtained control over the rate of the asymptotic convergence of the connection to the tangent connection if furthermore the connection is stationary or the tangent connection is integrable, with a stronger result in t...

This study was undertaken to design an updated connection system for an eyeglass-supported nasal prosthesis using rapid prototyping techniques. The substructure was developed with two main endpoints in mind: the connection to the silicone and the connection to the eyeglasses. The mold design was also updated; the mold was composed of various parts, each carefully designed to allow for easy rele...

The head and anterior trunk region of most actinopterygian fishes is stiffened as, uniquely within vertebrates, the pectoral girdles have a direct and often strong connection through the posttemporal to the posterior region of the skull. Members of the mesopelagic fish family Stomiidae have their pectoral girdle separated from the skull. This connection is lost in several teleost groups, but th...

Fedir M. Sokhats’kyi recently posed four problems concerning parastrophic equivalence between generalized quasigroup functional equations. Sava Krstić in his PhD thesis established a connection between generalized quadratic quasigroup functional equations and connected cubic graphs. We use this connection to solve two of Sokhats’kyi’s problems, giving also complete characterization of parastrop...

In order to better approximate and understand the exchange-correlation functional in density functional theory, the adiabatic connection curve is accurately calculated beyond the physical interaction strength using a simulated scaling method. This is done for Hooke’s atom, two interacting electrons in a harmonic well potential. Extrapolation of the accurate curve to the infinite-coupling limit ...