A binary string B of length n = kt is a k-ary Dyck word if it contains t copies of 1, and the number of 0s in every prefix of B is at most k−1 times the number of 1s. We provide two loopless algorithms for generating k-ary Dyck words in cool-lex order: (1) The first requires two index variables and assumes k is a constant; (2) The second requires t index variables and works for any k. We also e...

In this paper, we construct a Darboux transformation and the related Backlund for super-symmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is ...

This document summarizes an algorithm for independent low-rank matrix analysis, which was proposed as determined rank-1 multichannel nonnegative matrix factorization in the following published papers: Daichi Kitamura, Nobutaka Ono, Hiroshi Sawada, Hirokazu Kameoka, and Hiroshi Saruwatari, “Efficient multichannel nonnegative matrix factorization exploiting rank-1 spatial model,” Proceedings of I...

■ REFERENCES (1) Tizei, L. H. G.; Lin, Y.-C.; Mukai, M.; Sawada, H.; Lu, A.-Y.; Li, L.J.; Kimoto, K.; Suenaga, K. Exciton Mapping at subwavelength scales in two-dimensional materials. Phys. Rev. Lett. 2015, 114, 107601. (2) Sasaki, T.; Sawada, H.; Hosokawa, F.; Sato, Y.; Suenaga, K. Aberration-corrected STEM/TEM imaging at 15kV. Ultramicroscopy 2014, 145, 50−55. (3) Velaźquez, M.; Ferrier, A.; ...

A taxonomic review of the AthetaThomsonsubgenusMicrodota Mulsant & Rey in Korea is presented. The subgenus is represented in Korea by 15 species including two new species, Atheta (Microdota) jangtaesanensis Lee & Ahn, sp. n. and Atheta (Microdota) pasniki Lee & Ahn, sp. n. Four species [Atheta (Microdota) kawachiensis Cameron, Atheta (Microdota) muris Sawada, Atheta (Microdota) spiniventris Ber...