This paper presents an improved mathematical model for calculation of distortion vectors two aligned surface meshes. The shows better accuracy when benchmarked to existing with exceptional conditions, such as sharp corners and small radii. was implemented into a developed compensation digital tool applied industrial component. component made Inconel 718 produced by laser powder bed fusion 3D pr...

We prove the rationality of exceptional W-algebras associated with simple Lie algebra $\mathfrak{sp}_4$ and subregular nilpotent elements, proving a new particular case conjecture Kac-Wakimoto. Moreover, we describe $\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})$-modules compute their characters. also explicit nontrivial action component group on set these modules.

We investigate the seven exceptional families as defined in [GMT]. Experimental as well as rigorous evidence suggests that to each family corresponds exactly one manifold. A certain two generator subgroup in PSL(2,C) is specified for each of the seven families in [GMT]. Using Newton’s method for finding roots of polynomials in several variables we solve the relation equations specifying the gen...

In this paper, we suggest to exploit the framework of rough set for detecting outliers — individuals who behave in an unexpected way or feature abnormal properties. The ability to locate outliers can help to maintain knowledge base integrity and to single out irregular individuals. First, we formally define the notions of exceptional set and minimal exceptional set. We then analyze some special...

Family studies of exceptional longevity can potentially identify genetic and other factors contributing to long life and healthy aging. Although such studies seek families that are exceptionally long lived, they also need living members who can provide DNA and phenotype information. On the basis of these considerations, the authors developed a metric to rank families for selection into a family...

Contracts specify properties of an interface to a software component. We consider the problem of defining a full contract that specifies not only the normal behaviour, but also special cases and tolerated exceptions. In this paper we focus on the behavioural properties of use cases taken from the Common Component Modelling Example (CoCoME), proposed as a benchmark to compare different component...

{ finite subgroups Γ ⊂ SL (2, C) }/ conjugacy {CDW-diagrams of type ADE } l l {Klein singularities XΓ = C/Γ }/ ∼ ←→ {minimal resolutions X̃Γ }/ ∼ Here, the symbol ∼ in the last row denotes complex–analytic equivalence. The arrow in the second column is given in the upward direction by associating to a minimal resolution X̃Γ of XΓ the dual graph of its exceptional set E ⊂ X̃Γ . In 1979, McKay [16] ...