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THE DEGENERACY PROBLEM OF TWO-DIMENSIONAL LINEAR RECURRING ARRAYS

Lei Hu

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Abstract

The degeneracy degree and degeneracy position sets of a two-dimensional linear recurrence relation set are characterized. The fact that a linear recurring array is essentially a doubly periodic array is shown. By using the Grobner base theory, a calculation formula for degeneracy degree is gived and the existence of a special degeneracy position set is proved. In the present paper, the degeneracy problem of the two-dimensional linear recurring arrays is completely solved.

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What this paper is about

The degeneracy degree and degeneracy position sets of a two-dimensional linear recurrence relation set are characterized. The fact that a linear recurring array is essentially a doubly periodic array is shown. By using the Grobner base theory, a calculation formula for degeneracy degree is gived and the existence of a special degeneracy position set is proved. In the present paper, the degeneracy problem of the two-dimensional linear recurring arrays is completely solved.

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Available abstract

The degeneracy degree and degeneracy position sets of a two-dimensional linear recurrence relation set are characterized. The fact that a linear recurring array is essentially a doubly periodic array is shown. By using the Grobner base theory, a calculation formula for degeneracy degree is gived and the existence of a special degeneracy position set is proved. In the present paper, the degeneracy problem of the two-dimensional linear recurring arrays is completely solved.

Key concepts: Degeneracy (biology), Mathematics, Degree (music), Position (finance), Set (abstract data type), Combinatorics, Physics, Computer science

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