Quantitative reasoning

Michael L. Mavrovouniotis, Symbolic and Quantitative Reasoning Design of Reaction Pathways through... 

The separation between qualitative and quantitative knowledge is not always as great as has been suggested. Give an example where qualitative reasoning and quantitative reasoning have interacted in classroom studies or work experience. 

Calculation Comers appear in selected chapters. They are included so that students can practice the quantitative-reasoning skills needed to perform chemical calculations. In each Calculation Corner, an example problem and answer show students how to perform a specific calculation then their understanding is tested in a Your Turn section. None of the calculations involves skills beyond fractions, percentages, or basic algebra. 

The Conceptual Synthesis of Chemical Processing Schemes Michael L. Mavrovouniotis, Symbolic and Quantitative Reasoning Design of Reaction Pathways through Recursive Satisfaction of Constraints Christopher Nagel and George Stephanopoulos, Inductive and Deductive Reasoning ... 

The above phenomena have been incorporated into a theoretical approach which explicitly associates zone spreading with flow velocity and the rates of various equilibration processes. This is the generalized nonequilibrium theory developed by the author [5]. While the theoretical details are too lengthy to develop here, some semi-quantitative reasoning can be used to understand the nature of nonequilibrium-induced zone spreading and the parameters that control it. 

SYMBOLIC AND QUANTITATIVE REASONING DESIGN OF REACTION PATHWAYS THROUGH RECURSIVE SATISFACTION OF CONSTRAINTS... 

Given a fixed, predetermined set of elementary reactions, compose reaction pathways (mechanisms) that satisfy given specifications in the transformation of available raw materials to desired products. This is a problem encountered quite frequently during research and development of chemical and biochemical processes. As in the assembly of a puzzle, the pieces (available reaction steps) must fit with each other (i.e., satisfy a set of constraints imposed by the precursor and successor reactions) and conform with the size and shape of the board (i.e., the specifications on the overall transformation of raw materials to products). This chapter draws from symbolic and quantitative reasoning ideas of AI which allow the systematic synthesis of artifacts through a recursive satisfaction of constraints imposed on the artifact as a whole and on its components. The artifacts in this chapter are mechanisms of catalytic reactions and... 

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