Telemetering Hydrographic Tide Gauge


Book Description

This report covers phase I of a plan to develop a telemetering hydrographic tide gauge system to provide real-time tidal data to hydrographic survey ships. Phase I included the design, construction, and testing of a telemetering system for use with existing shore-based portable tide gauges. The design requirements for the equipment and the operating characteristics of the system under a field test are described herein.




World Maps on the August Epicycloidal Conformal Projection


Book Description

Mapping equations and their inverses are developed in simplified form for the August two-cusped epicycloidal conformal projection and for the Lagrange family of conformal projections bounded by circular arcs.













Cholesky Factorization and Matrix Inversion


Book Description

The Cholesky square root algorithm used in the solution of linear equations with a positive definite matrix of coefficients is developed by elementary matrix algebra, independent of the Gaussian elimination from which it was originally derived. The Cholesky factorization leads to a simple inversion procedure for the given matrix. A simple transformation makes the inversion applicable to nonsymmetric matrices. The least squares hypothesis is shown to be the simplest and most general unique solution of a system of linear equations with a nonsquare matrix of coefficients. The method of proof is extended to develop the Gaussian elimination algorithm in a readily comprehensible procedure.