Automatic evaluations of cross-derivatives

Design and Construction of an Automatic pH Adjustment System by Instant Feedback Method

Evaluations of the acidity or alkalinity of solutions are used in many industries such as food industries, medicine, chemical engineering, petrochemical industries, agriculture, animal husbandry, industrial laboratories, etc. Portable and stationary pH measurements are very common and are an integral part of these studies, due to the importance of pH. In most of these evaluations and studies, a...

Using Directional Distance Functions to Determine Ranking Ranges in Cross-efficiency Evaluations

Linguistic Resources and Evaluation Techniques for Evaluation of Cross-Document Automatic Content Extraction

The NIST Automatic Content Extraction (ACE) Evaluation expands its focus in 2008 to encompass the challenge of cross-document and cross-language global integration and reconciliation of information. While past ACE evaluations were limited to local (within-document) detection and disambiguation of entities, relations and events, the current evaluation adds global (cross-document and cross-langua...

Algorithmic differentiation techniques for global optimization in the COCONUT environment

The algorithmic differentiation in the COCONUT Environment does not only provide point evaluations but also range enclosures of derivatives up to order 3, as well as slopes up to second order. Care is taken to ensure that rounding errors are treated correctly. The ranges of the enclosures can be tightened by combining the evaluation routines with constraint propagation. Advantages and pitfalls ...

A Finite Algorithm for the Exact Evaluation of Higher Order Partial Derivatives of Functions of Many Variables

In recent work [3,4] on the development of a complete differential system for the local and nonlocal sensitivity analysis of parameterized systems, it quickly became apparent that recourse had to be made to an automatic method of evaluating needed partial derivatives if a practical numerical tool was to be obtained. For example, the local parameter sensitivity analysis of an n-equation system o...