— We investigate the variation of the dimension of the Galois groups of families of regular singular difference systems using analytic tools.

This longitudinal study aimed to examine the association between depressive and anxiety symptoms and academic motivation by gender, and whether positive school and family factors would be associated with academic motivation, in spite of the presence of such symptoms. Study participants were predominantly economically disadvantaged youths aged 13-15 years in a Northeastern US urban public school...

A cyclically permutable code is a binary code whose codewords are cyclically distinct and have full cyclic order. An important class of these codes are the constant weight cyclically permutable codes. In a code of this class all codewords have the same weight w. These codes have many applications, including in optical code-division multiple-access communication systems and in constructing proto...

L1 retroposons are represented in mice by subfamilies of interspersed sequences of varied abundance. Previous analyses have indicated that subfamilies are generated by duplicative transposition of a small number of members of the L1 family, the progeny of which then become a major component of the murine L1 population, and are not due to any active processes generating homology within preexisti...

Keywords: Systems of functional-difference equations Bounded continuous solutions on half-intervals a b s t r a c t Some sufficient conditions for the existence of families of bounded continuous solutions of some classes of systems of functional-difference equations on the intervals ½0; þ1Þ and ðÀ1; 0Š are given.

My interest in combinatorics began six years ago when I was studying in the laboratory of Professor Sanpei Kageyama at Hiroshima University as an undergraduate student. I started my study for combinatorics with reading the famous book " Introduction to Combinatorial Theory " written by R.C. Bose and B. Manvel. After one and a half years, I decided to enter Nagoya University and join the laborat...

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Low-density parity-check (LDPC) code is linear-block error-correcting code defined by sparse parity-check matrix. It is decoded using the massage-passing algorithm, and in many cases, capable of outperforming turbo code. This paper presents a class of low-density parity-check (LDPC) codes showing good performance with low encoding complexity. The code is constructed using difference families fr...

This paper is devoted for a rigorous investigation of Hahn’s difference operator and the associated calculus. Hahn’s difference operator generalizes both the difference operator and Jackson’s q-difference operator. Unlike these two operators, the calculus associated with Hahn’s difference operator receives no attention. In particular, its right inverse has not been constructed before. We aim to...