In some cases, the beginning or setup of the problem is available, without a worked method of solution. However, there are some brother inheritance solutions that are presented youngest to elder brother, up the staircase. The normal solution was presented from elder brother to youngest brother and lowest amount, down the staircase. Integer fractions such as were presented as decrements in the extant problems. The share of the younger brothers would be x-x/n or x*(1-1/n) in succession. Each brother received an integral fraction of his next elder in a stair step fashion. In the extant problems, the number (n) of brothers range from 3 to 10 brothers. Generally, the brothers inherit land or silver pieces in arithmetic progression with the eldest brother receiving the greatest share and the youngest brother the least. The Babylonians did not use algebra notation, so the reader will have to bear some anachronisms in the TCL pseudocode. The TCL calculator used Babylonian single false position methods for the brother inheritance problem, but that is probably not the only method the Babylonians could use. Then the TCL calculator can be run over a number of testcases to validate the algebraic equations. At least one approach for the modern reader and using modern terminology is to develop the implied algebraic equations and decimal equivalents from the cuneiform numbers. The Babylonians did not use algebra notation, decimal notation, or modern units, so the reader will have to bear some anachronisms in the TCL code. The TCL procedures are descendants of this idea. Successive or iterated math solutions are called algorithms and the Babylonian methods are some of the earliest algorithms documented circa 1600 BCE. The basic dimensions and final tallies were presented in the cuneiform accounts on clay tablets, but some calculations, some units, and some problem answers (aw shucks!) were left off the tablet. In cuneiform, numbers in base 60 are written using a relative notation. One difficulty is determining the effective magnitude or power of the number coefficient in the base 60 notation. In most cases, the math problem is how the coefficient was used in estimating materials, work rates, and math problems. In the cuneiform math problems and coefficient lists on clay tablets, there are coefficient numbers which were used in determining the amount of materials and the daily work rates of the workers. The initial console program below was used to check the false position concept and generate testcases before loading the calculator shell. Gold Here are some TCL calculations on brothers inheritance problems algorithm in calculator shell. Its very hard to reply reasonably without some background of the correspondent on his WIKI bio page. Aside from your courtesy, your wiki MONIKER and date as a signature and minimal good faith of any internet post are the rules of this TCL-WIKI. Please include your wiki MONIKER and date in your comment with the same courtesy that I will give you. Comments are welcome, but please load any comments in the comments section at the bottom of the page. subject: Problem IM31210P6, ref Fribergīabylonian Brothers Inheritance Problems Algorithm and TCL demo example calculator, numerical analysis.The Arakarum Operator Stage is found in some Babylonian Algorithms.Checking solutions and adapting to other Babylonian Math problems.The TCL calculator provides trial solutions to other Babylonian Math problems and unusual features. Unusual Babylonian partner distribution of 13 shares.Babylonian Brothers Inheritance Problems Algorithm and TCL demo example calculator, numerical analysis.
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