Texas Instruments TI-82 User Manual - Page 44
EOS™, Equation Operating System
UPC - 033317086337
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EOS™ (Equation Operating System) The Equation Operating System (EOSé) defines the order in which functions in expressions are entered and evaluated on the TI.82. EOS lets you enter numbers and functions in a simple, straightforward sequence. Order of Evaluation A function returns a value. EOS evaluates the functions in an expression in the following order: 1 Functions that are entered after the argument, such as 2, -1, !, ¡, r, T, and conversions. 2 Powers and roots, such as 2^5 or 5x‡32. 3 Implied multiplication where the second argument is a number, variable name, list, or matrix or begins with an open parenthesis, such as 4A, 3ãBä, (A+B)4, or 4(A+B). 4 Single-argument functions that precede the argument, such as negation, ‡, sin, or log. 5 Implied multiplication where the second argument is a multiargument function or a single-argument function that precedes the argument, such as 2nDeriv(A2,A,6) or Asin 2. 6 Permutations (nPr) and combinations (nCr). 7 Multiplication and division. 8 Addition and subtraction. 9 Relational functions, such as > or . 10 Logic operator and. 11 Logic operators or and xor. Within a priority group, EOS evaluates functions from left to right. However, two or more single-argument functions that precede the same argument are evaluated from right to left. For example, sin fPart ln 8 is evaluated as sin(fPart(ln 8)). Calculations within a pair of parentheses are evaluated first. Multiargument functions, such as nDeriv(A2,A,6), are evaluated as they are encountered. 1-20 Operating the TI.82