For any stochastic matrix A of order n, denote its eigenvalues as λ1(A), . . . , λn(A), ordered so that 1 = |λ1(A)| ≥ |λ2(A)| ≥ . . . ≥ |λn(A)|. Let cT be a row vector of order n whose entries are nonnegative numbers that sum to n. Define S(c), to be the set of n × n row-stochastic matrices with column sum vector cT . In this paper the quantity λ(c) = max{|λ2(A)||A ∈ S(c)} is considered. The ve...

For any stochastic matrix A of order n, denote its eigenvalues as λ1(A), . . . , λn(A), ordered so that 1 = |λ1(A)| ≥ |λ2(A)| ≥ . . . ≥ |λn(A)|. Let cT be a row vector of order n whose entries are nonnegative numbers that sum to n. Define S(c), to be the set of n × n row-stochastic matrices with column sum vector cT . In this paper the quantity λ(c) = max{|λ2(A)||A ∈ S(c)} is considered. The ve...

Multi-slice or multi-detector row CT scanners, capable of imaging four simultaneous, parallel slices in a single rotation, were first introduced in 1998. Since then, scanners with 6, 8, 10 and 16 slice capabilities have become available and have made a marked impact on the role of CT in the diagnostic radiology department. Most recently 32, 40 and 64 slice scanners have been announced and the t...

AIM Describe the use of 320 row detector CT scanner for 4 Dimensional CT acquisition on a specialized platform designed for wrist kinematic evaluation and to demonstrate the utility of 4 Dimensional CT in the assessment of wrist biomechanics before and after surgical repair. MATERIALS AND METHODS Six wrists (1 volunteer and 4 patients) were uniformly imaged with conventional X-rays and 4 Dime...