15,011 research outputs found

    Practical Liberators: Union Officers in the Western Theater during the Civil War

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    Review of: "Practical Liberators: Union Officers in the Western Theater during the Civil War," by Kristopher A. Teters

    The Federalist Frontier: Settler Politics in the Old Northwest, 1783-1840

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    Review of: The Federalist Frontier: Settler Politics in the Old Northwest, 1783–1840, by Kristopher Maulden

    A converse to a theorem of Oka and Sakamoto for complex line arrangements

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    Let C_1 and C_2 be algebraic plane curves in the complex plane such that the curves intersect in d_1\cdot d_2 points where d_1,d_2 are the degrees of the curves respectively. Oka and Sakamoto proved that the fundamental group of the complement of C_1 \cup C_2 is isomorphic to the direct of product of the fundamental group of the complement of C_1 and the fundamental group of the complement of C_2. In this paper we prove the converse of Oka and Sakamoto's result for line arrangements. Let A_1 and A_2 be non-empty arrangements of lines in complex plane such that the fundamental group of the complement of A_1 \cup A_2 is isomorphic to the direct product of the complements of the arrangements A_1 and A_2. Then, the intersection of A_1 and A_2 consists of |A_1| \cdot |A_2| points of multiplicity two.Comment: 15 pages, 3 figure

    Martin Luther King, Jr.\u27s Greater Vision: Manually Bending the Arc of Time Towards Justice

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    This speech was given by Dr. Kristopher Burrell on January 16, 2017at St. Paul’s Church — National Historic Site, Mount Vernon, NY

    Sextets and Other Encounters

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    Program listing performers and works performe
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