The reparametrization transformation between ultrametrically organised states of replicated disordered systems is explicitly defined. The invariance of the longitudinal free energy under this transformation, i.e. reparametrization invariance, is shown to be a direct consequence of the higher level symmetry of replica equivalence. The double limit of infinite step replica symmetry breaking and n...

To aim to inductively clarify the professional identity of occupational therapists who work in a clinical setting, the researchers interviewed the 22 occupational therapists who had a minimum of 5 years or more of practice in the field. The professional identities of the practicing occupational therapists were constructed by the following two core categories: “harmonizing with a client’s life a...

• Blood growth hormone (GH) concentrations increase shortly after calving. • Greater blood GH coordinates nutrient partitioning; the process through which nutrients are preferentially targeted for milk production. Blood insulin and insulin-like growth factor (IGF)-I remain low when blood GH concentrations increase. • Blood GH concentrations are elevated in cows in negative energy balance. Blood...

This paper introduces a new concept of LLE eigenface modelled by local linear embedding (LLE), and compares it with the traditional PCA eigenface from principle component analysis (PCA) on pose identity and face identity recognition through face classification. LLE eigenface is found outperforming PCA eigenface on the discrimination/recogntion of both face identity and pose identity. The superi...

We express the partition functions of the dimer model on finite square lattices under five different boundary conditions (free, cylindrical, toroidal, Möbius strip, and Klein bottle) obtained by others (Kasteleyn, Temperley and Fisher, McCoy and Wu, Brankov and Priezzhev, and Lu and Wu) in terms of the partition functions with twisted boundary conditions Z(alpha, beta) with (alpha, beta)=(1/2,0...

We explicitly evaluate the free energy of the random cluster model at its critical point for 0 < q < 4 using an exact result due to Baxter, Temperley and Ashley. It is found that the resulting expression assumes a form which depends on whether π/2 cos−1( √ q/2) is a rational number, and if it is a rational number whether the denominator is an odd integer. Our consideration lealds to new summati...

We consider in dimension four weakly convergent sequences of approximate biharmonic maps to a Riemannian manifold with bi-tension fields bounded in L for p > 4 3 . We prove an energy identity that accounts for the loss of hessian energies by the sum of hessian energies over finitely many nontrivial biharmonic maps on R. As a corollary, we obtain an energy identity for the heat flow of biharmoni...

In this paper, we study the properties of critical points Yang-Mills-Higgs functional, which are called pairs. We first consider weakly stable pairs on a vector bundle over S^n (n > 3). When n 3, prove that norm its Higgs field is 1 and connection actually Yang-Mills. More precisely, curvature vanishes when 4. also use bubble-neck decomposition to energy identity sequence 4-dimensional compact ...

Consider the (p,q) simple connected graph . The sum absolute values of spectrum quotient matrix a make up graph's energy. objective this study is to examine energy identity graphs and zero-divisor commutative rings using group theory, applications. In study, derived from few classes ring R are examined.