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pro vyhledávání: '"Joseph D. Fehribach"'
Publikováno v:
Linear Algebra and its Applications. 639:225-242
Publikováno v:
Linear Algebra and its Applications. 566:1-16
This paper presents an entirely linear-algebraic interpretation of Kirchhoff graphs. Specifically, whether or not a vector graph is Kirchhoff can be determined using only the incidence matrix of the underlying digraph, and the characteristic matrix o
Autor:
Joseph D. Fehribach
This book covers multivariable and vector calculus. It can be used as a textbook for a one-semester course or self-study. It includes worked-through exercises, with answers provided for many of the basic computational ones and hints for the more comp
Autor:
Joseph D. Fehribach
The book Sequences and Series in Calculus is designed as the first college/university calculus course for students who take and do well on the AP AB exam in high school and who are interested in a more proof-oriented treatment of calculus. The text b
Publikováno v:
Symmetry, Vol 8, Iss 3, p 9 (2016)
We compare two mathematical theories that address duality between cycles and vertex-cuts of graphs in geometric settings. First, we propose a rigorous definition of a new type of graph, vector graphs. The special case of R2-vector graphs matches the
Externí odkaz:
https://doaj.org/article/32f30b5d7bd047578d98fcb1311d54e3
Publikováno v:
Linear Algebra and its Applications. 547:128-147
Given a stoichiometric matrix A with integer entries, we seek to visualize the information by a reaction network N, whose edges are labeled by the columns of A, such that all column dependencies are realized as cycles in N. Moreover, the vector edges
Autor:
C. J. van Duijn, Joseph D. Fehribach
Publikováno v:
Electronic Journal of Differential Equations, Vol 1993, Iss 06, Pp 1-25 (1993)
for a molten carbonate electrode of a fuel cell. The model consists of two coupled second-order ordinary differential equations, one for the concentration of the reactant gas and one for the potential. Restricting ourselves to the case of a positive
Externí odkaz:
https://doaj.org/article/e31a7cefd32c4078bcb6b5b95f61dda7
Autor:
Joseph D. Fehribach
This carefully-designed book covers multivariable and vector calculus, and is appropriate either as a text of a one-semester course, or for self-study. It includes many worked-through exercises, with answers to many of the basic computational ones an
Autor:
Joseph D. Fehribach
Publikováno v:
Ars mathematica contemporanea
The fundamental relationship between matrices over the rational numbers and a newly defined type of graph, a Kirchhoff graph, is established. For a given matrix, a Kirchhoff graph represents the orthogonal complementarity of the null and row spaces o