We characterize the strongly Cohen–Macaulay ideals of second analytic deviation one in terms of depth properties of the powers of the ideal in the ‘standard range.’ This provides an explanation of the behaviour of certain ideals that have appeared in the literature.

The noise and drift requirements for a navigation-grade gyroscope are widely known, yet there is no simple analytic model of how the influence fix displacement error (FDE) an inertial navigation system (INS). This work derives analytical expressions cross-track along-track errors aircraft whose INS consists solely three-axis with perfect knowledge vertical direction. signal each Gaussian white ...

Alloys expand or contract as concentrations change, and the resulting relationship between atomic volume alloy content is an important property of solid. While a well-known approximation posits that varies linearly with concentration (Zen’s law), actual variation more complicated. Here we use apparent size solute (solvent) atom elasticity to derive explicit analytical expressions for binary sol...