منابع مشابه
Napoleon Polygons
An n-gon is called Napoleon if the centers of the regular ngons erected outwardly on its sides are vertices of a regular n-gon. In this note we obtain a new geometric characterization of Napoleon ngons and give a new proof of the well-known theorem of Barlotti Greber ([1], [3]) that an n-gon is Napoleon if and only if it is affine regular. Moreover, we generalize this theorem by obtaining an an...
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Professor Thomas Walmsley was appointed to the chair of Anatomy at Queen's in 1919 and held the post until 1951. He graduated in Glasgow in 1912. While lecturing "he combined simplicity of presentation with impressiveness in delivery and held his class spellbound"'. It is said that he had great influence on staff and students alike and was respected by all who came in contact with him; in his t...
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It has been said that the cell is the test tube of the twenty-first century. If so, the theoretical tools needed to quantitatively and predictively describe what goes on in such test tubes lag sorely behind the stunning experimental advances in biology seen in the decades since the molecular biology revolution began. Perhaps surprisingly, one of the theoretical tools that has been used with gre...
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We study a number of embedded DSLs for autonomous ordinary differential equations (autonomous ODEs) in Haskell. A naive implementation based on the lazy tower of derivatives is straightforward but has serious time and space leaks due to the loss of sharing when handling cyclic and infinite data structures. In seeking a solution to fix this problem, we explore a number of DSLs ranging from shall...
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These brief remarks have been prepared in connection with a conference in honor of my thesis advisor, Richard Rochberg.
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ژورنال
عنوان ژورنال: The Journal of the Rutgers University Libraries
سال: 2012
ISSN: 0036-0473
DOI: 10.14713/jrul.v34i2.1516