Paper folding for the mathematics class /

Includes bibliographical references (p. iv).

An extension of the Strum-Liouville expansion,

"Reprinted from the American Journal of Mathematics, vol. XLIV, no. 1, January, 1922."

The birational transformations of algebraic curves of genus four.

Thesis (Ph.D.)--Cornell University, 1908.

Notes on a calculus of Turán operators.

Cover title.

Singularities of smooth maps.

CU-5-ONR-266(57)-M)

The theory of images in the representation of functions.

Thesis (Ph.D.)--Cornell University, 1888.

Designing the mathematics classroom.

Mode of access: Internet.

On the principles of English university education ;

Of the subjects of university teaching.--Of direct and indirect teaching.--Of discipline.--Thoughts on the study of mathematics as a part of a liberal education.

A class of translation lattices.

"CU-2-62-NSF G19022-M."

The Role of Geometry in Wordsworth's "Science of Feelings"

Thesis (Ph.D.)--University of Washington, 2016-06

Partial regularity of weak solutions of the liquid crystal equilibrium system

For a parameter, we consider the modified relaxed energy of the liquid crystal system. Each minimizer of the modified relaxed energy is a weak solution to the liquid crystal equilibrium system. We prove the partial regularity of minimizers of the modified relaxed energy. We also prove the existence of infinitely many weak solutions for the special boundary value x.

Existence of complementary pairs of proportionally balanced designs

Proportionally balanced designs (pi BDs) were introduced by Gray and Matters in response to a need for the allocation of markers of the Queensland Core Skills Test to have a certain property. Subsequent papers extended the theoretical results relating to such designs and provided further instances and general constructions. This work focused on designs comprising blocks of precisely two sizes, and when each variety occurs with one of precisely two possible frequencies. Two designs based on the set V of varieties are complementary if, whenever B is a block of one, then its complement with regard to the set V is a block of the other. Here we present necessary conditions for the existence of complementary pairs of such pi BDs and provide lists of some restricted parameter sets satisfying these necessary conditions. The lists are arranged according to the number of blocks. We demonstrate that not all of these parameter sets give rise to designs. However we establish by construction of the sets of blocks that, for every feasible number of blocks less than or equal to 100, with the possible exception of 63, there exists at least one pair of complementary pi BDs. We also investigate the conditions under which the complementary design can be isomorphic to the original design, and again provide a list of feasible parameters for pairs of such designs with at most 400 blocks.