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Full-Text Articles in Physical Sciences and Mathematics

Transverse Mass And Gravitational Mass, Robert Katz Nov 1961

Transverse Mass And Gravitational Mass, Robert Katz

Robert Katz Publications

A problem suggested by Professor Gamow deals with the relationship between the transverse mass and the gravitational mass: A steamroller of mass m moves horizontally, in the +x direction, with velocity v, in a region of space in which there is a gravitational field intensity g vertically downward. Find the weight of the moving steamroller.


A Note On K-Commutative Matrices, D. W. Robinson Nov 1961

A Note On K-Commutative Matrices, D. W. Robinson

Faculty Publications

Let A and B be square matrices over a field in which the minimum polynomial of A is completely reducible. It is shown that A is k commutative with respect to B for some non-negative integer k if and only if B commutes with every principal idempotent of A. The proof is brief, simplifying much of the previous study of k-commutative matrices. The result is also used to generalize some well-known theorems on finite matrix commutators that involve a complex matrix and its transposed complex conjugate.


Hardness And Moisture Content Of Wheat Kernels, Robert Katz, N. D. Collins, A. B. Cardwell Jul 1961

Hardness And Moisture Content Of Wheat Kernels, Robert Katz, N. D. Collins, A. B. Cardwell

Robert Katz Publications

The hardness of kernel sections of hard red winter and soft white winter wheat and durum wheat decreased with increasing moisture content. Small variations in hardness with variety and test plot location were detected.