# Browse by Subject "Mathematics"

• (2004)
We conclude with a preliminary description of some joint work with Nigel Boston on the asymptotic distributions of non-abelian G with respect to the discriminant.

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• (1981)
1-generic sets possess all properties which can be obtained through "sufficiently simple" Kleene-Post constructions, but no recursively enumerable (r.e.) set can be 1-generic. P-genericity is the result of a ...

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• (1989)
This thesis presents a parallel algorithm for the direct LU factorization of general unsymmetric sparse matrices. The algorithm, D2, is based on a new nondeterministic parallel pivot search that finds a compatible pivot ...

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• (1997)
All implementations were done using the MPI communication library and are therefore portable to many parallel platforms. All algorithms provide excellent performance in terms of speedup and quality on both shared-memory ...

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• (1977)

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• (1965)

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• (2006)
The spectrum of the integral operator whose kernel is the covariance function of a random variable plays an important role in finding the distribution of the random variable. We consider methods for producing estimates of ...

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• (2004)
We also study Ramsey degrees, i.e. those Turing degrees which are able to compute homogeneous sets for every computable 2-coloring of pairs of natural numbers, in an attempt to further understand the effective content of ...

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• (1977)

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• (1966)

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• (1955)

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• (1979)

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• (1998)
Lastly, we consider the use of the periodic Schur decomposition in solving two-point boundary value problems. We present simple, yet powerful, characterizations for the fundamental properties of solvability and conditionability. ...

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• (1965)

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• (1960)

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• (1978)

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• (1980)
The Pettis integral of a weakly measurable vector-valued function is the most natural integral for use in Banach spaces. Although first defined over forty years ago, the integral has stubbornly defied analysis and has long ...

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• (1969)

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• (1974)

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• (2002)
We prove the planar triple bubble conjecture that the standard triple bubble is the unique least-perimeter way to enclose and separate three regions of given areas. We also prove a bound on the number of convex components ...

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