171 resultados para Équation de Pell


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Mode of access: Internet.

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Issued with Household words. Home narratives. New York, 1853.

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Mode of access: Internet.

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Mode of access: Internet.

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"References to literature" at end of chapters.

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Back Row: 1- Charles Street (Q), 2 – Charles McDonald (T), 3 - David Gill (E), 4 – Everett Sweeley (F), 5 – Lee Barkenbus (G), 6 - Hugh White (E), 7 – Rutherford B.H. Kramer (G), 8 – Albert Herrnstein (H), 9 – John F. McLean (H),

Third Row: 10 – William Cunningham (C), 11 – Arthur Fitzgerald (Q), 12 –Curtis Mechling (T), 13 - Arthur Brookfield (G), 14 – Walter Bain (H), 15 - Milo White (F), 16 – Ebin Wilson( r), 17 - John Dickey (C), 18 - Rudolph Siegmund (G)

Second Row: 19 - James Pell (E), 20 - ? Martin (E), 21 – Elisha Sayad (C), 22 – Harry Brown (E), 23 - Clayton Teetzel (H), 24 Captain Allen Steckle (T), 25 – Harry Durant (F), 26 -Lewis Larsen (C), 27 – Richard France (G), 28 Leo Keena (F),

Front Row: 29 – Scott Turner (G), 30 – George Burns ( H), 31 – Jesse L. Yount (T), 32 - Carl Mohr (Q), 33 - Walter Shaw (F), 34 - Harrison Weeks (H)

Inset: trainer Keene Fitzpatrick

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The character of Sir Robert Pell.--Lord Brougham.--Mr. Gladstone.--William Pitt.--Bolingbroke as a statesman.--Sir George Cornewall Lewis.--Adam Smith as a person.--Lord Althorp and the reform act of 1832.--Addenda: The Prince Consort. What Lord Lyndhurst really was. The tribute at Hereford to Sir G. C. Lewis. Mr. Cobden. Lord Palmerston. The Earl of Clarendon. Mr. Lowe as chancellor of the Exchequer. Monsieur Guizot. Professor Cairnes. Mr. Disraeli as a member of the House of commons.

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t. 1. Intégrales simples et multiples. Lʼéquation de Laplace et ses applications. Développments in séries. Applications géométriques du calcul infinitésimal.

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Adult diamondback moths (DBM), Plutella xylostella L. (Lepidoptera: Plutellidae), inoculated with the fungus Zoophthora radicans, were released within a large field cage containing DBM-infested potted broccoli plants. Larvae and pupae on exposed and caged control plants were examined on five occasions over the next 48 days for evidence of Z. radicans infection. Infected larvae were first detected on exposed plants 4 days after the initial release of adults, and after 48 days the infection level reached 79%. Aerially borne conidia were a factor in transmission of the fungus. Infection had no effect on possible losses of larval and adult cadavers due to scavengers in field crops. In a trial to measure the influence of infection on dispersal, twice as many non-infected as infected males were recaptured in pheromone traps, although the difference in cumulative catch only became significant 3 days after release of the males. In a separate experiment, when adult moths were inoculated with Beauveria bassiana conidia and released into the field cage, DBM larvae collected from 37 of 96 plants sampled 4 days later subsequently died from B. bassiana infection. The distribution of plants from which the infected larvae were collected was random, but the distribution of infected larvae was clustered within the cage. These findings suggest that the auto-dissemination of fungal pathogens may be a feasible strategy for DBM control, provided that epizootics can be established and maintained when DBM population densities are low.

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In 1900 E. B. Van Vleck proposed a very efficient method to compute the Sturm sequence of a polynomial p (x) ∈ Z[x] by triangularizing one of Sylvester’s matrices of p (x) and its derivative p′(x). That method works fine only for the case of complete sequences provided no pivots take place. In 1917, A. J. Pell and R. L. Gordon pointed out this “weakness” in Van Vleck’s theorem, rectified it but did not extend his method, so that it also works in the cases of: (a) complete Sturm sequences with pivot, and (b) incomplete Sturm sequences. Despite its importance, the Pell-Gordon Theorem for polynomials in Q[x] has been totally forgotten and, to our knowledge, it is referenced by us for the first time in the literature. In this paper we go over Van Vleck’s theorem and method, modify slightly the formula of the Pell-Gordon Theorem and present a general triangularization method, called the VanVleck-Pell-Gordon method, that correctly computes in Z[x] polynomial Sturm sequences, both complete and incomplete.

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ACM Computing Classification System (1998): F.2.1, G.1.5, I.1.2.

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In 1917 Pell (1) and Gordon used sylvester2, Sylvester’s little known and hardly ever used matrix of 1853, to compute(2) the coefficients of a Sturmian remainder — obtained in applying in Q[x], Sturm’s algorithm on two polynomials f, g ∈ Z[x] of degree n — in terms of the determinants (3) of the corresponding submatrices of sylvester2. Thus, they solved a problem that had eluded both J. J. Sylvester, in 1853, and E. B. Van Vleck, in 1900. (4) In this paper we extend the work by Pell and Gordon and show how to compute (2) the coefficients of an Euclidean remainder — obtained in finding in Q[x], the greatest common divisor of f, g ∈ Z[x] of degree n — in terms of the determinants (5) of the corresponding submatrices of sylvester1, Sylvester’s widely known and used matrix of 1840. (1) See the link http://en.wikipedia.org/wiki/Anna_Johnson_Pell_Wheeler for her biography (2) Both for complete and incomplete sequences, as defined in the sequel. (3) Also known as modified subresultants. (4) Using determinants Sylvester and Van Vleck were able to compute the coefficients of Sturmian remainders only for the case of complete sequences. (5) Also known as (proper) subresultants.