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1 
Über tripelsysteme von 13 ElementenZulauf, Karl, January 1897 (has links)
Inaug.diss.Giessen. / Lebenslauf.

2 
On the location of the zeros of certain combinations of polynomialsVermes, Robert, January 1963 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1963. / Typescript. eContent providerneutral record in process. Description based on print version record. Includes bibliographical references (leaves 5253).

3 
Homogeneity of combinatorial spheresWalker, Alexander Crawford January 1968 (has links)
The object of this thesis is to cover the results of [1] from a piecewise linear point of view. The principal result
of [1] is the theorem on the homogeneity of spheres, i.e. the complement of a combinatorial ncell in a combinatorial nsphere is a combinatorial ncell. A piecewise linear proof of this theorem by a "long induction" using regular neighbourhoods
and collapsing was given in [4]. A direct piecewise linear proof appeared recently in [2]; it is based on the existence of a "collar" for the boundary of a combinatorial manifold with boundary. Our proof is similar to the proof in [2]. We proceed by induction on dimensions, proving simultaneously
the existence of a collar for the boundary of a combinatorial manifold with boundary and the homogeneity theorem. From [2] we adopted an argument which eliminates a certain combinatorial technique applied in [1] and involving induction on the length of stellar subdivisions.
The results of [1] were previously interpreted in piecewise linear topology by use of a theorem in [3] stating that piecewise linearly homeomorphic simplicial complexes have subdivisions which are combinatorially equivalent in the sense of [1].
The thesis is divided into three parts. The first gives definitions and basic properties relating to simplicial
complexes. The second concerns combinatorial manifolds, and in the third we present our proof of the piecewise linear homogeneity of spheres. / Science, Faculty of / Mathematics, Department of / Graduate

4 
A comparison of antibacterial synergism with bacterial uptake using sulphonamides and trimethoprimXing, James Zan January 1994 (has links)
No description available.

5 
On Euler squares ...Fleisher, Edward, January 1934 (has links)
Thesis (Ph. D.)New York University, 1935. / Planographed. Bibliography: p. 3841.

6 
On Redfield's enumeration methods : application of group theory to combinatoricsHolton, D. A. (Derek Allan) January 1970 (has links)
No description available.

7 
On Euler squares ...Fleisher, Edward, January 1934 (has links)
Thesis (Ph. D.)New York University, 1935. / Planographed. Bibliography: p. 3841.

8 
The distributions of weighted linear combinations of cell frequency countsPark, Chong Jin, January 1968 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1968. / Typescript. Vita. eContent providerneutral record in process. Description based on print version record. Includes bibliography.

9 
Some inequalities with combinatorial applicationsGordon, William Robert January 1961 (has links)
Some inequalities of H. J. Ryser with combinatorial applications are generalized.
Let f be a nonnegative concave symmetric function on vtuples of nonnegative reals. If f has the property that when θa + (1 θ)b ∈ G[subscript f] = f[power 1] ({t:t > 0}), 0 < θ < 1, then f(θa + (1 θ)b) = θf(a) + (1θ)f(b), then we say that f is strictly concave. (Similarly, if f is convex and has the property just mentioned, then we say that f is strictly convex).
Let H be a nonnegative hermitian matrix with eigenvalues λ₁, ..., λ[subscript v], where λ₁ ≧ ... ≧λ[subscript e] > λ[subscript e+1] = … = λ[subscript v] = 0. Let h be an integer, 1 < h, such that e ≦h ≦ v and define k and λ by k = trace (H)/h, λ[subscript h] ≦k + (h1) λ ≦λ₁. Define the matrix B of order h by B = (k λ)I + λJ, where I is the identity matrix all of whose entries are 1's. Let B₀ = B ∔ 0, where the matrix B₀ of order v is the direct sum of the matrix B of order h and the (vh)order zero matrix. Let f(H) denote f(λ₁, … , λ[subscript v]). Then we prove theorems of the following nature.
THEOREM: The matrices H and B₀ satisfy
f(H) ≦ f(B₀).
If f is strictly concave and if (λ₁, ..., λ[subscript v]) ∈ G[subscript f] then equality holds if and only if H and B₀ have the same eigenvalues. If f is strictly concave and if for some integer z, G[subscript f] is the set of nonnegative vectors with at least z positive coordinates and if k + (h1) λ ≠ 0 and z ≦ h or k + (h1)λ = 0 and z < h, then f(H) = f(B₀) if and only if H and B₀ have the same eigenvalues.
If f is convex a similar theorem with the inequality reversed can be proved.
We discuss various choices of the function f and indicate some applications of the results to some combinatorial problems. / Science, Faculty of / Mathematics, Department of / Graduate

10 
Combinatorial generalizations and refinements of Euler's partition theoremNdlovu, Miehleketo Brighton 06 May 2015 (has links)
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. 9 December 2014. / The aim of this research project is to survey and elaborate on various generalizations and
re nements of Euler's celebrated distinctodd partition theorem which asserts the equality of
the numbers of partitions of a positive integer into distinct summands and into odd summands.
Although the work is not originally my own, I give clarity where there is obscurity by bridging
the gaps on the already existing work. I touch on combinatorial proofs, which are either
bijective or involutive. In some cases I give both combinatorial and analytic proofs. The
main source of this dissertation is [22, 5, 6, 8]. I start by rst summarizing some methods
and techniques used in partition theory.

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