Browsing Mathematics by Title
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Introduction to nonlocal and generalized lie symmetries of partial differential equations.
(Wheaton College (Norton, Mass.), 2014)A symmetry of a differential equation is a transformation that takes a solution of the differential equation to another solution. These transformations are useful in both pure and applied study of partial differential ... 
Kings in generalized tournaments.
(Wheaton College (MA)., 2018)This thesis explores how to find and construct kings in three generalizations of tourna ment: semicomplete digraphs, oriented graphs and quasitransitive oriented graphs.In Chapter 3 and Chapter 4, we present a way to ... 
Perfect colorings of a design with 2dimensional euclidean crystallographic symmetry group.
(Wheaton College (MA)., 2018)This thesis introduces perfect colorings and the systematic way of generating perfect colorings. We study the perfect colorings for designs whose symmetry groups are 2dimensional Euclidean crystallographic groups. ... 
Tiling the halfplane with squares of integral sides.
(Wheaton College (Norton, Mass.), 2014)Describes an algorithm which tiles the halfplane using unique integralsided squares and a compactness equation with which the algorithm can be compared to other methods of tiling the halfplane using unique squares.