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b) Babylonian to base 9

b) Babylonian to base 9

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The image illustrates the conversion of Babylonian numerals into base 9, divided into three sections by slashes. Each section showcases cuneiform symbols representing specific numerical values typical of the Babylonian numeral system, which was sexagesimal (base 60) but is here being contextualized in base 9. ### Babylonian Numerals The symbols include: - Wedge-like indentations that represent specific numbers. - These indentations vary in orientation and number to convey different values. ### Sections and Symbols: 1. **First Section:** - Contains a leftward wedge followed by four vertical lines. - In Babylonian numerals, this represents a composite number based on groupings of values. 2. **Second Section:** - Includes a leftward wedge, two smaller leftward wedges, and a vertical line. - These combinations form another number or part of a larger numerical expression. 3. **Third Section:** - Comprises a leftward wedge, a triangle, and two vertical lines. - Represents another value or sequence to be interpreted in the conversion process. The task is to interpret these figures into numbers applicable in base 9. Understanding these symbols is crucial for recognizing ancient numerical systems and their significance in historical contexts.
Transcribed Image Text:The image illustrates the conversion of Babylonian numerals into base 9, divided into three sections by slashes. Each section showcases cuneiform symbols representing specific numerical values typical of the Babylonian numeral system, which was sexagesimal (base 60) but is here being contextualized in base 9. ### Babylonian Numerals The symbols include: - Wedge-like indentations that represent specific numbers. - These indentations vary in orientation and number to convey different values. ### Sections and Symbols: 1. **First Section:** - Contains a leftward wedge followed by four vertical lines. - In Babylonian numerals, this represents a composite number based on groupings of values. 2. **Second Section:** - Includes a leftward wedge, two smaller leftward wedges, and a vertical line. - These combinations form another number or part of a larger numerical expression. 3. **Third Section:** - Comprises a leftward wedge, a triangle, and two vertical lines. - Represents another value or sequence to be interpreted in the conversion process. The task is to interpret these figures into numbers applicable in base 9. Understanding these symbols is crucial for recognizing ancient numerical systems and their significance in historical contexts.
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