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Enterprise Integration Patterns: Designing, Building, and Deploying Messaging Solutions (1st Edition)

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* do you want to exploit a constant visible notation for drawing integration ideas? glance contained in the entrance cover.
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Factorizations of b[superscript n] [plus or minus symbol] 1, b=2, 3, 5, 6, 7, 10, 11, 12 up to high powers

Brillhart, Lehmer, et al. Factorization of b^n plus minus 1 (AMS, 1988)(ISBN 0821850784)(327s)_MT_

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Example text

When the 360" circle of the celestial equator (our projection upon the sky of the earth's equator) is divided into twenty-four equal sections of arc marked by the celestial meridians (our projection of earth's twenty-four longitudinal hour lines), simple division of 360 by 24 tells us that each section of that divided celestial equator wdl contain 15 degrees of arc and be the equivalent of one hour. To express the principle differently, since the whole circle turns around the earth once every twenty-four hours, each of its twenty-four sections in turn will take one hour to rise from beginning to end above the eastern horizon.

The reader w d become accustomed to seeing this typically English "Chaucerian" rete in the pages that follow (see fig. 1). In naming the oxford friars John Somer a n d ~ i c h o l a sof Lynn in the introduction to his Tredtise on the Astrolabe, Chaucer associates himself with a particular group at court and at Oxford that shared his interest in astronomical matters. These "calendars" included much more than we associate with the word today and are, in effect, almanacs, for, in addition to charting the days of the month, they include charts for finding The Rete of an Astrolabe Set in the Main Plate.

More convincing than the many earlier suggestions that have been made for the origins of Chaucer's horse (see Baker, Squire's Tak 4-23) is Thomas W. Best's proposal that the poet drew on the Rqmnaerts Historie, a contemporary Dutch poem. Apparently the association of three magical presents for a king with a flying horse is unique to this Dutch story. In R~naertsHistorie the kmg is presented with a ring, a comb, and a mirror framed in shittim-a wood as durable as ebony. The storyteller introduces the flying horse as an amplification of his designation of the shittim wood for the mirror's frarne: of whiche wode [wood] kmge Cropart made his horse of tree [wood] for love of kynge Morcalcas doughter that was so fayr whom he had wende [intended] for to have wonne.

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