An edge-magic total labeling of a graph G is a one-toone map λ from V (G) ∪ E(G) onto the integers {1, 2, · · · , |V (G) ∪ E(G)|} with the property that, there is an integer constant c such that λ(x) + λ(x, y) + λ(y) = c for any (x, y) ∈ E(G). If λ(V (G)) = {1, 2, · · · , |V (G|} then edge-magic total labeling is called super edgemagic total labeling. In this paper we formulate super edge-magic...

We give a sufficient condition for a class of representable cylindric algebras to have the super amalgamation property. We show that the class of representable algebras (RCAα) does not satisfy this condition when α > 1, but if we restrict ourselves to the class of dimension complemented algebras (Dcα) then this condition is satisfied when α ≥ ω. Hence Dcα’s super amalgamate with respect to RCAα...

Given a set T ⊆ GF(q), |T | = t, wT is defined as the smallest positive integer k for which ∑ y∈T y k 6= 0. It can be shown that wT ≤ t always and wT ≤ t − 1 if the characteristic p divides t. T is called a Vandermonde set if wT ≥ t−1 and a super-Vandermonde set if wT = t. This (extremal) algebraic property is interesting for its own right, but the original motivation comes from finite geometri...

An edge-magic total labeling of a graph G is a one-toone map λ from V (G) ∪ E(G) onto the integers {1, 2, · · · , |V (G) ∪ E(G)|} with the property that, there is an integer constant c such that λ(x) + λ(x, y) + λ(y) = c for any (x, y) ∈ E(G). If λ(V (G)) = {1, 2, · · · , |V (G|} then edge-magic total labeling is called super edgemagic total labeling. In this paper, we formulate super edge-magi...

A bijective proof of the product formula for the principal specialization of super Schur functions (also called hook Schur functions) is given using the combinatorial description of super Schur functions in terms of certain tableaux due to Berele and Regev. Our bijective proof is based on the Hillman–Grassl algorithm and a modified version of Schützenberger’s jeu de taquin. We then explore the ...

This paper studies robust control schemes for two spacecraft in formation subjected to external disturbances in the space environment. Two sliding mode control schemes are designed to generate control with a finite time convergence property. The super twisting and adaptive super twisting control algorithms are developed for the two-spacecraft formation flying system. The second method of Lyapun...

Teeth are exposed to cyclic loads due to their physiological functions such as mastication. With age, such repetitive force causes generation of cracks and caries in dentin, and eventually degeneration due to crack initiation and propagation. The degenerative effects are caused by elevated stress levels in cracked zones and also reduction of structural toughness due to presence of microstructur...

The interest of PET complementary information for the delineation of the target volume in radiotherapy of lung cancer is increasing. However, respiratory motion requires the determination of a functional internal target volume (ITV) on PET images for which several strategies have been proposed. The purpose of this study was the comparison of these strategies for taking into account respiratory ...

Thin elastic rods such as cables, phone coils, tree branches, or hair, are common objects in the real world but computing their dynamics accurately remains challenging. The recent Super-Helix model, based on the discrete equations of Kirchhoff for a piecewise helical rod, is one of the most promising models for simulating non-stretchable rods that can bend and twist. However, this model suffers...

Based on the super light trapping property of butterfly Trogonoptera brookiana wings, the SiO2 replica of this bionic functional surface was successfully synthesized using a simple and highly effective synthesis method combining a sol-gel process and subsequent selective etching. Firstly, the reflectivity of butterfly wing scales was carefully examined. It was found that the whole reflectance s...