Abstract We investigate the injective types and algebraically in univalent mathematics, both absence presence of propositional resizing. Injectivity is defined by surjectivity restriction map along any embedding, algebraic injectivity a given section embedding. Under resizing axioms, main results are easy to state: (1) equivalent truncation injectivity. (2) The precisely retracts exponential po...

Kernel density estimators are the basic tools for density estimation in non-parametric statistics.  The k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in  which  the  bandwidth  is varied depending on the location of the sample points. In this paper‎, we  initially introduce the k-nearest neighbor kernel density estimator in the random left-truncatio...

Chemical maps of garnet are the key to understand the tectonometamorphic evolution of the metamorphic rocks. They provide useful information on element distribution, diffusion, and mechanical truncation of crystal. In the Himalayas, studies on ultra-high pressure rocks denudated along the Main Central Thrust (MCT) revealed the great displacement along this intracontinental shear zone. Pêcher (1...

In this paper we show that for a class of open quantum systems satisfying a natural dynamical assumption (see §2.2) the study of the resolvent, and hence of scattering, and of resonances, can be reduced, in the semiclassical limit, to the study of open quantum maps, that is of finite dimensional quantizations of canonical relations obtained by truncation of symplectomorphisms derived from the c...

Matrix data sets arise in network analysis for medical applications, where each belongs to a subject and represents measurable phenotype. These large dimensional are often modeled using lower-dimensional latent variables, which explain most of the observed variability can be used predictive purposes. In this paper, we provide asymptotic convergence guarantees estimation hierarchical statistical...

We propose a low-rank tensor approach to approximate linear transport and nonlinear Vlasov solutions their associated flow maps. The takes advantage of the fact that differential operators in equation is friendly, based on which we novel way dynamically adaptively build up solution basis by adding new functions from discretization PDE, removing an SVD-type truncation procedure. For discretizati...

A weak cut of a Combinatorial Geometry G is a generalization of a modular cut, corresponding to the family of the new dependent sets in a weak map image of G. The use of weak cuts allows the construction of all weak images of G, an important result being that, to any family "311 of independent sets of G, is associated a unique weak cut S containing "311. In practice, the flats of the weak image...

The purpose of this work is the study of solution techniques for problems involving fractional powers of symmetric coercive elliptic operators in a bounded domain with Dirichlet boundary conditions. These operators can be realized as the Dirichlet to Neumann map for a degenerate/singular elliptic problem posed on a semi-infinite cylinder, which we analyze in the framework of weighted Sobolev sp...

We describe truncation and SAR studies to identify a pentapeptide that binds Cbl tyrosine kinase binding domain with a higher affinity than the parental peptide. The pentapeptide has an alternative binding mode that allows occupancy of a previously uncharacterized groove. A peptide library was used to map the binding site and define the interface landscape. Our results suggest that the pentapep...

A voting rule that permits some voters to favor a candidate by revealing only the initial segment of their sincere rankings is said be vulnerable truncation paradox. In this paper, we consider four models for counting truncated ballots, optimistic, pessimistic (the most common), averaged, and round-down. Under impartial anonymous culture assumption, choice model generally has real impact on tru...