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Full-Text Articles in Physical Sciences and Mathematics

Imbedding Graphs In Pseudosurfaces, Wayne S. Petroelje Dec 1971

Imbedding Graphs In Pseudosurfaces, Wayne S. Petroelje

Masters Theses

No abstract provided.


The Constructive Theory Of Distributions, Elsie M. Gustafson Dec 1971

The Constructive Theory Of Distributions, Elsie M. Gustafson

Masters Theses

No abstract provided.


Lower Bounds In The Stekloff Problem, Shrikant Narayan Rao Aug 1971

Lower Bounds In The Stekloff Problem, Shrikant Narayan Rao

Masters Theses

No abstract provided.


The *S-Product Of Arithmetic Functions, Kathryn Diane Kopec Apr 1971

The *S-Product Of Arithmetic Functions, Kathryn Diane Kopec

Masters Theses

No abstract provided.


Integrability Of The Sums Of The Trigonometric Series 1/2 Aₒ + ∞ [Over] Σ [Over] N=1 AN Cos Nθ And ∞ [Over] Σ [Over] N=1 AN Sin Nθ, John William Garrett Jan 1971

Integrability Of The Sums Of The Trigonometric Series 1/2 Aₒ + ∞ [Over] Σ [Over] N=1 AN Cos Nθ And ∞ [Over] Σ [Over] N=1 AN Sin Nθ, John William Garrett

Masters Theses

"The trigonometric series C = 1/2 aₒ + ∞ [over] Σ [over] [n=1] a[subscript n] cos nΘ and S = ∞ [over] Σ [over] n=1 a[subscript n] sin nΘ, where {a[subscript n]} monotonically decreases to zero both converge almost everywhere to functions f and g respectively. f (or g) is L iff C (or S) is the Fourier series of f (or g) iff term-by-term integration of C (or S) is valid. There are three equivalent conditions, each of which implies that C is the Fourier series of f...."--Abstract, page ii.


Inclusion Theorems For Boundary Value Problems For Delay Differential Equations, Leon M. Hall Jan 1971

Inclusion Theorems For Boundary Value Problems For Delay Differential Equations, Leon M. Hall

Masters Theses

"In this thesis existence and uniqueness of solutions to certain second and third order boundary value problems for delay differential equations is established. Sequences of upper and lower solutions similar to those used by Kovač and Savčenko are defined by means of an integral operator, and conditions are given under which these sequences converge monotonically from above and below to the unique solution of the problem. Some numerical examples for the second order case are presented. Existence and uniqueness is also proved for the case where the delay is a function of the solution as well as the independent variable"--Abstract, …