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William Allen High School is located at 106 N. 17th Street in Allentown. It serves students from center city and the city's westside. The city's other public high school, Dieruff High School, serves students from Allentown's eastern and southern sections. Until Dieruff's opening in 1959, William Allen High School was known as Allentown High School.
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In April 2009, the Minister of Education announced a new high school would be built in Bedford to replace Charles P. Allen High School (The campus later became one of its feeder schools, Rocky Lake Junior High School). The new Charles P. Allen opened in September 2013. The new building is located at 200 Innovation Drive in Bedford.
Allen Hatcher, Algebraic Topology, Cambridge University Press, Cambridge, 2002. ISBN 0-521-79540-0. A modern, geometrically flavored introduction to algebraic topology. The book is available free in PDF and PostScript formats on the author's homepage. Kainen, P. C. (1971). "Weak Adjoint Functors". Mathematische Zeitschrift. 122: 1– 9.
Every vector space is a free module, [1] but, if the ring of the coefficients is not a division ring (not a field in the commutative case), then there exist non-free modules. Given any set S and ring R, there is a free R-module with basis S, which is called the free module on S or module of formal R-linear combinations of the elements of S.
A free module is a module that can be represented as a direct sum over its base ring, so free abelian groups and free -modules are equivalent concepts: each free abelian group is (with the multiplication operation above) a free -module, and each free -module comes from a free abelian group in this way. [21]
Allen's rule - Hare and its ears on the Earth [1]. Allen's rule is an ecogeographical rule formulated by Joel Asaph Allen in 1877, [2] [3] broadly stating that animals adapted to cold climates have shorter and thicker limbs and bodily appendages than animals adapted to warm climates.
J. Kim Vandiver (born December 4, 1945) is an American university professor at the Massachusetts Institute of Technology (MIT). Vandiver is the dean of undergraduate research and a professor of Mechanical and Ocean Engineering.