Modeling maize aflatoxins and fumonisins in a Tanzanian smallholder system: Accounting for diverse risk factors improves mycotoxin models.

Human exposure to mycotoxins is common and often severe in underregulated maize-based food systems.This study explored how monitoring of these systems could help to identify when and where outbreaks occur and inform potential mitigation efforts.Within a maize smallholder system in Kongwa District, Tanzania, we performed two food surveys of mycotoxi

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Harmonic Numbers: Insights, Approximations and Applications

The applications of spreadsheets to mathematics allow learners to analyze mathematical ideas in ways never before possible.In this paper harmonic numbers are defined, calculated, approximated, and applied.The concepts and techniques of recursion, approximation and combinatorial methods are illustrated.This paper also shows some properties of the ha

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