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(Creighton University, 1932)
The cartographer, faced with the problem of mapping one surface on another surface or on a plane, may select one of two alternative methods if he wishes his representation to be mathematically accurate. He may represent ...
The Tracing of Higher Plane Curves
(Creighton University, 1933)
When one has studied analytic geometry, calculus and kindred branches of mathematics which depend to a certain extent upon the construction of loci he is confronted with the difficulty of determining a fairly accurate ...
On the Zeros of Certain Theta Identities and the Periodicity Properties of Certain Quasi-Periodic Functions Involved
(Creighton University, 1939)
In a recent article by Dwyer there are exhibited several identities of the form |(1) ϑ2 (x+y+z)φ111(x+y,-y)= ϑ3(2)x(x+y,x+2)- ϑ3(x+y)x(y,z), |where the thetas are the theta-functions of Jacobi, |φabc(x,y)= ϑ11 ϑ(x+y)/ ϑb(x) ...