Background It is well demonstrated that hippocampal atrophy associated with cognitive impairment. Existing studies have smaller volumes dementia, and volume reduction has been established as a biomarker for the conversion of mild impairment to Alzheimer’s Disease. Although some examined correlations between subfield domains such memory, further research needed clarify associations each various ...

Genetically targeted anatomical and behavioral characterization of the cornu ammonis 2 (CA2) subfield of the mouse hippocampus

Reed-Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having a fixed length. In many applications where the length is static, the appropriate length can be obtained by an RS code by shortening or puncturing. Generalized Reed-Solomon (GRS) codes are a generalization of RS codes...

We present a general technique for obtaining permutation polynomials over a finite field from permutations of a subfield. By applying this technique to the simplest classes of permutation polynomials on the subfield, we obtain several new families of permutation polynomials. Some of these have the additional property that both f(x) and f(x) + x induce permutations of the field, which has combin...

In this work, we establish lists for each signature of tenth degree number fields containing a totally real quintic subfield and of discriminant less than 1013 in absolute value. For each field in the list we give its discriminant, the discriminant of its subfield, a relative polynomial generating the field over one of its subfields, the corresponding polynomial over Q, and the Galois group of ...

In an effort to search for a new binary two-level autocorrelation sequence, the decimation-Hadamard transform (DHT) based on special classes of known binary sequences with two-level autocorrelation is investigated. It is theoretically proved that some realizations of a binary generalized Gordon-Mills-Welch (GMW) sequence can be predicted from the structure of subfield factorization and the real...

Harrington extended the first half of Rabin’s Theorem to differential fields, proving that every computable differential field can be viewed as a computably enumerable subfield of a computable presentation of its differential closure. For fields F , the second half of Rabin’s Theorem says that this subfield is Turing-equivalent to the set of irreducible polynomials in F [X]. We investigate poss...