We define the total weak discrepancy of a poset P as the minimum nonnegative integer k for which there exists a function f : V → Z satisfying (i) if a ≺ b then f(a) + 1 ≤ f(b) and (ii) ∑ |f(a)− f(b)| ≤ k, where the sum is taken over all unordered pairs {a, b} of incomparable elements. If we allow k and f to take real values, we call the minimum k the fractional total weak discrepancy of P . The...

The term "immune privilege" was coined to describe weak immunogenicity (hypo-immunity) that manifests in some transplant settings. We extended this concept to encompass hypo-immunity that manifests at local sites of inflammation relevant to clinical diseases. Here, we focus on emerging evidence that enhanced tryptophan catabolism is a key metabolic process that promotes and sustains induced imm...

We present a cut elimination argument that witnesses the conservativity of the compositional axioms for truth (without the extended induction axiom) over any theory interpreting a weak subsystem of arithmetic. In doing so we also fix a critical error in Halbach’s original presentation. Our methods show that the admission of these axioms determines a hyper-exponential reduction in the size of de...

We develop the method of stochastic modified equations (SME), in which stochastic gradient algorithms are approximated in the weak sense by continuous-time stochastic differential equations. We exploit the continuous formulation together with optimal control theory to derive novel adaptive hyper-parameter adjustment policies. Our algorithms have competitive performance with the added benefit of...

Abstract Horizontal diffusion and resolution are important factors to generate maintain the super-rotation in general circulation model (GCM) because waves which transport angular momentum sensitive them. Here, we investigated how depends on magnitude of horizontal hyper using a Venus atmospheric GCM with medium high resolutions. In both runs, found parameter range where structure fully develop...

K Kedlaya proposed an method to count the number of Fq rational points in a hyper elliptic curve using the Leschetz xed points formula in Monsky Washinitzer Cohomology The method has been extended to super elliptic curves Gaudry and G urel immediately to characteristic two hyper elliptic curves and to Cab curves J Denef F Vercauteren Based on Miura theory which is associated with how a curve is...

We determine the asymptotic behavior of entropy full coverings a $L \times M$ square lattice by rods size $k\times 1$ and $1\times k$, in limit large $k$. show that coverage is possible only if at least one $L$ $M$ multiple $k$, all allowed configurations can be reached from standard configuration being parallel, using basic flip moves replace $k k$ parallel horizontal vertical rods, vice versa...

objective: the urinary system of euryhaline fish, as well as the gills, is involved in ion regulation through the production of dilute urine in freshwater and isotonic urine in seawater. the low osmolality of the urine originates from an active reabsorption of ions by ionocytes or mitochondria rich-cells (mrcs) present in certain parts of the urinary system. mitochondria rich-cells possess a hi...

The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix. When k ≥ 2, the k-Hessian equation is a fully nonlinear partial differential equations. It is elliptic when restricted to k-admissible functions. In this paper we establish the existence and regularity of k-admissible solutions to the Dirichlet problem of the k-Hessian equation. By a g...