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  • Berlekamp-Massey algorithm  (2)
  • Atropine  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applicable algebra in engineering, communication and computing 6 (1995), S. 309-323 
    ISSN: 1432-0622
    Keywords: Polynomial remainder sequence ; Berlekamp-Massey algorithm ; linear recurring sequence ; factorial domain
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics , Technology
    Notes: Abstract We present an extended polynomial remainder sequence algorithm XPRS for R[X] whereR is a domain. From this we derive a Berlekamp-Massey algorithm BM/R overR. We show that if (α) is a linear recurring sequence in a factorial domainU, then the characteristic polynomials for (α) form aprincipal ideal which is generated by a primitive minimal polynomial. Moreover, this generator ismonic when U[[X]] is factorial (for example, whenU is Z orK[X 1,X2,...,Xn] whereK is a field). From XPRS we derive an algorithm MINPOL for determining the minimal polynomial of (α) when an upper bound on the degree of some characteristic polynomial and sufficiently many initial terms of (α) are known. We also show how to obtain a Berlekamp-Massey type minimal polynomial algorithm from BM/U and state BM_MINPOL/K explicitly with a further refinement. Examples are given forU=Z, GF(2)[Y].
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Applicable algebra in engineering, communication and computing 6 (1995), S. 309-323 
    ISSN: 1432-0622
    Keywords: Keywords: Polynomial remainder sequence ; Berlekamp-Massey algorithm ; linear recurring sequence ; factorial domain.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics , Technology
    Notes: Abstract.  We present an extended polynomial remainder sequence algorithm XPRS for R[X] where R is a domain. From this we derive a Berlekamp-Massey algorithm BM/R over R. We show that if (α) is a linear recurring sequence in a factorial domain U, then the characteristic polynomials for (α) form a principal ideal which is generated by a primitive minimal polynomial. Moreover, this generator is monic when U[ [X] ] is factorial (for example, when U is Z or K[X 1 , X 2 , . . . , X n ] where K is a field). From XPRS we derive an algorithm MINPOL for determining the minimal polynomial of (α) when an upper bound on the degree of some characteristic polynomial and sufficiently many initial terms of (α) are known. We also show how to obtain a Berlekamp-Massey type minimal polynomial algorithm from BM/U and state BM – MINPOL/K explicitly with a further refinement. Examples are given for U = Z, GF(2) [Y ].
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-2072
    Keywords: Passive avoidance ; Learning ; Memory Scopolamine ; Atropine ; Diazepam ; Lorazepam Rats
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Both muscarinic antagonists, such as scopolamine, and benzodiazepine receptor (BZR) agonists, such as diazepam, produce a reliable impairment in the performance of one trial passive avoidance. Such deficits are frequently interpreted as drug-induced amnesia. However, these deficits could also result from a learning impairment. The present experiments compared the effects of two BZR agonists, lorazepam (0, 0.125, 0.25, and 0.375 mg/kg, IP) and diazepam (0, 0.78, 1.56, and 3.13 mg/kg, IP) with the effects of two muscarinic antagonists, scopolamine (0, 0.6, 0.8 and 1.0 mg/kg, SC) and atropine (0, 15, 30 and 60 mg/kg, IP) on a multiple trial passive avoidance task. In this procedure, the rats were trained with a 5-min inter-trial interval until a learning criterion was achieved. Retention was assessed 24 h later. This enabled the effects of the drugs on the acquisition and the retention of a passive avoidance response to be dissociated. Both atropine and scopolamine produced a marked impairment in the acquisition of the passive avoidance response, but did not impair retention. In contrast, diazepam and lorazepam did not alter the acquisition of a passive avoidance response, but did produce a dose-dependent impairment of retention. These results therefore demonstrate a double dissociation between the effects of muscarinic antagonists and BZR agonists on the acquisition and retention of passive avoidance.
    Type of Medium: Electronic Resource
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