We extend the notion of canonical orderings to cylindric triangulations. This allows us to extend the incremental straight-line drawing algorithm of de Fraysseix, Pach and Pollack to this setting. Our algorithm yields in linear time a crossing-free straight-line drawing of a cylindric triangulation G with n vertices on a regular grid Z/wZ× [0..h], with w ≤ 2n and h ≤ n(2d+1), where d is the (gr...

Dear Sir, Cheek rotation flaps1-3 are used to reconstruct lower eyelids. After rotating the flap, the suture line on the cheek is not aligned with a relaxed skin tension line, and postoperative scars that intersect the margin of the lower eyelid at angles close to 90 ̊ may cause downward contractures of the lower eyelid. We describe herein 2 cases in which we avoided this problem by using w-plas...

We document the discovery of two generating functions for ζ(2n + 2), analogous to earlier work for ζ(2n + 1) and ζ(4n + 3), initiated by Koecher and pursued further by Borwein, Bradley and others.

At Rolls-Royce, a study determined that manufacturing part cost can be estimated from dimensional data in the part definition. The method appears to be more accurate than mass-based parametric models or process simulation cost models. Additional advantages are: part definition information is causally related to part manufacturing cost; part definition information is easily available during the ...

‘Scientific community’ is common currency in the study of science, largely due to Kuhn’s use of the term in his highly influential book The Structure of Scientific Revolutions. As this article explains, however, ‘scientific community’ was not of Kuhn’s coining. It was hinted at by Peirce, and expressly designated by Royce. On a few occasions Fleck affirmed a scientific community, while Polanyi ...

in the baking industry, use of hydrocolloid technology to improve the operation and to increase the tolerance to paste fermentation conditions, improve quality and increase the shelf life of fresh as well as stored bread, is of large applications. this research was carried out to evaluate the effects of gel of sodium alginate on rheological properties of dough and quality (volume, specific volu...

A diagnostic of a power law distribution is that a log-log plot of frequency against rank yields a (nearly) straight line. For instance, Zipf (1935) plotted word token counts in a variety of texts against the inverse rank of each distinct word type and showed that typically such plots approximate a straight line. The characteristic ‘Zipf curve’ of word frequency against rank deviates from this ...

We extend the notion of canonical orderings to cylindric triangulations. This allows us to extend the incremental straight-line drawing algorithm of de Fraysseix, Pach and Pollack to this setting. Our algorithm yields in linear time a crossing-free straight-line drawing of a cylindric triangulation G with n vertices on a regular grid Z/wZ× [0..h], with w ≤ 2n and h ≤ n(2d+1), where d is the (gr...