In many machines, where permanent magnets are used, the effects due to cogging torque generated by permanent magnets (PMs) aggravate the output characteristics of the machines. This paper presents the method for reducing cogging torque in surface-mounted permanent magnet synchronous motor (SPMSM). A new cogging torque suppression method called axial pole pairing is proposed. Compared to convent...

In this note we make several observations concerning symplectic fillings. In particular we show that a (strongly or weakly) semi-fillable contact structure is fillable and any filling embeds as a symplectic domain in a closed symplectic manifold. We also relate properties of the open book decomposition of a contact manifold to its possible fillings. These results are also useful in showing the ...

We exhibit a weight-preserving bijection between semi-standard Young tableaux and semi-skyline augmented fillings to provide a combinatorial proof that the Schur functions decompose into nonsymmetric functions indexed by compositions. The insertion procedure involved in the proof leads to an analogue of the Robinson-SchenstedKnuth Algorithm for semi-skyline augmented fillings. This procedure co...

A skew shape is the difference of two top-left justified Ferrers shapes sharing same corner. We study integer fillings shapes. As our first main result, we show that for a specific hereditary class shapes, which call D-free avoid north-east chain size $k$ are in bijection with south-east size. Since subclass this result can be seen as generalization previous analogous results second construct b...

Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are generated through reverse column-strict tableaux. We introduce a new basis for quasisymmetric functions called the row-strict quasisymmetric Schur...

The symmetry of the joint distribution of the numbers of crossings and nestings of length 2 has been observed in many combinatorial structures, including permutations, matchings, set partitions, linked partitions, and certain families of graphs. These results have been unified in the larger context of enumeration of northeast and southeast chains of length 2 in 01-fillings of moon polyominoes. ...

We evaluated the association between radiographically assessed extension and density of root canal fillings and postoperative apical radiolucencies (ARs) by using data from 288 participants in the Veterans Affairs Dental Longitudinal Study. Study subjects were not Veterans Affairs patients; all received their medical and dental care in the private sector. Generalized estimating equations were u...

Pattern-avoiding binary fillings of Young diagrams were first defined and studied by A. Postnikov. Important examples are Γ -diagrams, that are related to decorated permutations and positive Grassman cells. Other examples are acyclic orientations of a graph defined from the Young diagram. Using reccurence relations, he could prove that the numbers of such fillings are equal, for these two examp...