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Tally marks, also called hash marks, are a form of numeral used for counting. They can be thought of as a unary numeral system . They are most useful in counting or tallying ongoing results, such as the score in a game or sport, as no intermediate results need to be erased or discarded.
For example, "11" represents the number eleven in the decimal or base-10 numeral system (today, the most common system globally), the number three in the binary or base-2 numeral system (used in modern computers), and the number two in the unary numeral system (used in tallying scores). The number the numeral represents is called its value.
"A base is a natural number B whose powers (B multiplied by itself some number of times) are specially designated within a numerical system." [1]: 38 The term is not equivalent to radix, as it applies to all numerical notation systems (not just positional ones with a radix) and most systems of spoken numbers. [1]
The use of tally marks in counting is an application of the unary numeral system. For example, using the tally mark | (𝍷), the number 3 is represented as |||. In East Asian cultures, the number 3 is represented as 三, a character drawn with three strokes. [6] (One and two are represented similarly.)
Counting Rod Numerals is a Unicode block containing traditional Chinese counting rod symbols, which mathematicians used for calculation in ancient China, Japan, Korea, and Vietnam.
A tally stick (or simply a tally [1]) was an ancient memory aid used to record and document numbers, quantities, and messages. Tally sticks first appear as animal bones carved with notches during the Upper Palaeolithic ; a notable example is the Ishango Bone .
A check sheet is a form (document) used to collect data in real time at the location where the data is generated. The data it captures can be quantitative or qualitative.When the information is quantitative, the check sheet is sometimes called a tally sheet.
The Nemeth Braille Code for Mathematics and Science Notation is a Braille code for encoding mathematical and scientific notation linearly using standard six-dot Braille cells for tactile reading by the visually impaired. The code was developed by Abraham Nemeth. The Nemeth Code was first written up in 1952.