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  • Berlekamp-Massey algorithm  (2)
  • Alpidem  (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: Abecarnil ; Alpidem ; Alprazolam ; Bretazenil ; Diazepam ; ZK 95962 ; β-Carboline ; Anxiolytics ; Receptor occupancy ; Four-plate test ; Plus-maze ; Mouse
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract This study compared the effects of the β-carboline anxiolytic, abecarnil, with other benzodiazepine receptor (BZR) ligands, including the full agonists diazepam and alprazolam, and the partial agonists ZK 95962 and bretazenil (Ro 16-6028), and alpidem, in the mouse four-plate test and plus-maze. The efficacy and potency of each compound was related to the fraction of BZR occupied by the drug. Abecarnil was efficacious in both tests and showed anxiolytic effects comparable with alprazolam and diazepam. In the four-plate test, abecarnil, bretazenil, and ZK 95962 had selective effects on releasing exploratory locomotor activity suppressed by footshock (punished crossings). None of these compounds significantly altered non-punished crossings. In contrast, diazepam and alprazolam increased both unpunished and punished crossings at low to medium doses (receptor occupancies of approximately 20–60%). The number of punished and unpunished crossings fell to control levels or below at higher, more sedative doses (approximately 80% receptor occupancy). Alpidem had very weak anxiolytic-like effects in this test and markedly reduced unpunished crossings at relatively low receptor occupancies (〉 15%). In the plus-maze, abecarnil increased the time spent in the open arms and the percentage open arm entries to an extent equal to that observed following diazepam or alprazolam administration. Bretazenil and ZK 95962 had weak effects on the measures of anxiolytic activity in this test. Alpidem also had little anxiolytic-like activity in the plus-maze but markedly reduced the total number of arm entries. The fractional BZR occupancies required to increase the time spent in the open arms of the maze to 250% of control levels were approximately 45% for abecarnil and alprazolam, 60% for diazepam, and 100% for ZK 95962. Bretazenil did not reach this potentiation at the doses tested (up to 89% receptor occupancy). Abecarnil appeared to act as a full agonist on the measures of anxiolytic activity in both tests (i.e. required low fractional BZR occupancies) but on the measures of stimulation or sedation was more similar to the BZR partial agonists (i.e. had no significant effects even at receptor occupancies approaching 100%). On this basis abecarnil could be described as a “selective agonist”. In general, the four-plate test was more sensitive than the plus-maze. For example, lower BZR occupancies were needed to produce significant anxiolytic effects in the four-plate test than in the plus-maze. In addition, the partial agonists bretazenil and ZK 95962, which both produced weak effects in the plus-maze, had similar anxiolytic potencies to the full BZR agonists, diazepam and alprazolam, in the four-plate test.
    Type of Medium: Electronic Resource
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