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Full-Text Articles in Physical Sciences and Mathematics
Computer Assistance In Discovering Formulas And Theorems In System Engineering, J. W. Helton, Mark Stankus
Computer Assistance In Discovering Formulas And Theorems In System Engineering, J. W. Helton, Mark Stankus
Mathematics
If one reads a typical article on A,B,C,D systems in the control transactions, one finds that most of the algebra involved is non commutative rather than commutative. Thus, for symbolic computing to have much impact on linear systems research, one needs a program which will do non-commuting operations. Mathematica, Macsyma and Maple do not. We have a package, NCAlgebra, which runs under Mathematica which does the basic operations, block matrix manipulations and other things. The package might be seen as a competitor to a yellow pad. Like Mathematica the emphasis is on interaction with the program and flexibility.
The issue …
M-Isometric Transformations Of Hilbert Space, I, Jim Alger, Mark Stankus
M-Isometric Transformations Of Hilbert Space, I, Jim Alger, Mark Stankus
Mathematics
No abstract provided.
Adjacencies In Words, Jean-Marc Fedou, Don Rawlings
Adjacencies In Words, Jean-Marc Fedou, Don Rawlings
Mathematics
Based on two inversion formulas for enumerating words in the free monoid by adjacencies, we present a new approach to a class of permutation problems having Eulerian-type generating functions. We also show that a specialization of one of the inversion formulas gives Diekert's lifting to the free monoid of an inversion theorem due to Cartier and Foata.
M-Isometric Transformations Of Hilbert Space, Ii, Jim Alger, Mark Stankus
M-Isometric Transformations Of Hilbert Space, Ii, Jim Alger, Mark Stankus
Mathematics
No abstract provided.
The Genus 22 Crossing Number Of K9, Adrian Riskin
The Genus 22 Crossing Number Of K9, Adrian Riskin
Mathematics
Our main result is that a 1971 conjecture due to Paul Kainen is false. Kainen's conjecture implies that the genus 2 crossing number of K 9 is 3. We disprove the conjecture by showing that the actual value is 4. The method used is a new one in the study of crossing numbers, involving proof of the impossibility of certain genus 2 embeddings of Ks.