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The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration camp. The rest of this article presents some methods devised by Trachtenberg.
A trace table is a technique used to test algorithms in order to make sure that no logical errors occur while the calculations are being processed. The table usually takes the form of a multi-column, multi-row table; With each column showing a variable , and each row showing each number input into the algorithm and the subsequent values of the ...
The practice of substituting letters for numbers and vice versa, known as gematria, was also common, and it is possible that the two practices were combined to produce a finger calculus alphabet. The earliest known manual alphabet, described by the Benedictine monk Bede in 8th century Northumbria , did just that. [ 15 ]
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Grid: the bubbles or lines are set up in a grid format for the user to fill in a phone number, name, ID number and so on. Add, total the answers to a single value; Boolean, answering yes or no to all that apply; Binary, answering yes or no to only one; Dotted lines fields, developed by Smartshoot OMR, allow border dropping like traditional ...