New PDF release: A Theorem on Series of Orthogonal Functions with an

By Birkhoff G.D.

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Extra resources for A Theorem on Series of Orthogonal Functions with an Application to Strum-Liouville Series (1917)(en)

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The innovative adverb unifies a series of other adverbs: “dialectically” and “dualistically” (referring to Bruno’s coincidentia oppositorum), “deistically” (in opposition to fideism and closely related to pandeism, for which God is the universe), and “dialogically,” namely, following the open and unlimited procedure of the dialogue. This could be referred to the same principle that pushed Bruno to choose the dialogue as his privileged writing form, but also to the same purpose that Bruno and Joyce had in creating a “dialogue” between all forms of languages, of experiences, and of arts.

The theory, which profoundly influenced the structure of Finnegans Wake, strikingly fascinated Joyce, who was also sympathetic to Bruno’s heroism (in relation to the Inquisition) and intellectually attracted to “his constant and inextinguishable appetite for every form of experience” 26 Federico Sabatini (Pater 234–44) and to his atomistic coincidence of the infinitesimally large and the infinitesimally small, as in the words on Bruno by Walter Pater: Considered from the point of view of a minute observation of nature, the Infinite might figure as “the infinitely little”; no blade of grass being like another, as there was no limit to the complexities of an atom of earth, cell, sphere, within sphere.

It corresponds to the title “The Uses and Abuses of Insects,” a veiled reference to the famous passage in book 4 of De rerum natura in which chance sexual encounters are advocated as a remedy to amorous passion. A dozen pages earlier, we find this marginal annotation: “The Vortex. / Spring of Sprung / Verse. L5–8). Apart from the obvious allusions to Wyndham Lewis’s Vorticist movement and to Gerard Manley Hopkins’s metrical innovations, there is also a play on the Latin words ver, “spring,” and vertex, which is how Lucretius spells vortex.

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A Theorem on Series of Orthogonal Functions with an Application to Strum-Liouville Series (1917)(en) by Birkhoff G.D.


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