The Tabula Alimentaria of Veleia records the details of two second-century a.d. imperial alimentary schemes at the northern Italian town of Veleia, providing a rare insight into the workings of these schemes. Imperial loans are made to local landowners in exchange for pledges of specified property. Interest paid by landowners is used to fund cash subsidies for the upbringing of selected local children. In the early twentieth century, the French scholar Félix de Pachtere came close to demonstrating a consistent arithmetical relationship between a landowner's declared property value and the loan received. However, anomalies remained. This article proposes a revised formula which establishes a precise and consistent linkage between loan amounts and property declarations. Based on this arithmetical dataset, the paper proposes some hypotheses about how these fractional computations might have been performed in second-century Rome.

中文翻译：

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Veleia 的 Tabula Alimentaria 中的分数运算

这食品白板Veleia 记录了两个二世纪的细节广告. 意大利北部城镇韦莱亚的帝国饮食计划，提供了对这些计划运作的罕见见解。帝国贷款是向当地土地所有者提供的，以换取特定财产的质押。土地所有者支付的利息用于资助抚养选定的当地儿童的现金补贴。在 20 世纪初，法国学者 Félix de Pachtere 几乎证明了土地所有者申报的财产价值与收到的贷款之间存在一致的算术关系。然而，异常仍然存在。本文提出了一个修订后的公式，该公式在贷款金额和财产申报之间建立了精确和一致的联系。基于这个算术数据集，