Results 31 to 40 of about 1,846 (253)
Electromagnetic proton form factors in large $N_{c}$ QCD
The electromagnetic form factors of the proton are obtained using a particular realization of QCD in the large $N_c$ limit (${QCD}_{\infty}$), which sums up the infinite number of zero-width resonances to yield an Euler's Beta function (Dual-${QCD}_ ...
A.F. Sill . +22 more
core +2 more sources
We have computed the four-loop contribution to the beta-function and to the anomalous dimension of the field for the two-dimensional lattice $N$-vector model.
Alan D. Sokal +21 more
core +1 more source
On the modified beta approximating operators of first kind
We define a general linear operator from which we obtain as special case the modified beta first kind operator\[(B_{p,q}f)(x)={B(p,q)}\int_0^1 t^{p-1}(1-t)^{q-1}f\left({B(p,q)}{B(p+a,q)}t^a x\right){\rm d}t.\]We consider here only the cases \(a=1\) and \
Vasile Miheşan
doaj +2 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Cyclotomic graphs and perfect codes
We study two families of cyclotomic graphs and perfect codes in them. They are Cayley graphs on the additive group of $\mathbb{Z}[\zeta_m]/A$, with connection sets $\{\pm (\zeta_m^i + A): 0 \le i \le m-1\}$ and $\{\pm (\zeta_m^i + A): 0 \le i \le \phi(m)
Zhou, Sanming
core +1 more source
Actuation of Cell Layers in Three Dimensions
ABSTRACT The alignment of fibers and cells in living tissues affect their mechanical properties and functionality. In this context, one can draw an analogy between tissues and nematic liquid crystal elastomers. We explore this analogy by growing fibroblasts on 2D‐patterned substrates and observing the contraction of cell sheets upon detachment from the
Kirsten Endresen +6 more
wiley +1 more source
On the modified beta approximating operators of second kind
We shall define a general linear operator from which we obtain as particular case the modified beta second kind operator\[(T_{p,q}f)(x)=\frac{1}{B(p,q)}\int_0^\infty\tfrac{u^{p-1}}{(1+u)^{p+q}}f\left(\frac{B(p,q)}{B(p+a,q-a)}u^ax\right){\rm d}u.\] We ...
Vasile Miheşan
doaj +2 more sources
Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
wiley +1 more source
Bounds for novel extended beta and hypergeometric functions and related results
We introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it.
Rakesh K. Parmar, Tibor K. Pogány
doaj +1 more source

