Texas Instruments TI-89 User Manual - Page 789

augment( ) MATH/Matrix menu augment(list1, list2) ⇒ list Returns a new list that is list2 appended to the end of list1. augment(matrix1, matrix2) ⇒ matrix augment(matrix1; matrix2) ⇒ matrix Returns a new matrix that is matrix2 appended to matrix1. When the "," character is used, the matrices must have equal row dimensions, and matrix2 is appended to matrix1 as new columns. When the ";" character is used, the matrices must have equal column dimensions, and matrix2 is appended to matrix1 as new rows. Does not alter matrix1 or matrix2. augment({1,ë3,2},{5,4}) ¸ {1 ë3 2 5 4} [1,2;3,4]!M1 ¸ [5;6]!M2 ¸ augment(M1,M2) ¸ [5,6]!M2 ¸ augment(M1;M2) ¸ [13 24] [56] [13 2 4 56] [5 6] 13 24 5 6 avgRC() CATALOG avgRC(expression1, var [, h]) ⇒ expression Returns the forward-difference quotient (average rate of change). expression1 can be a user-defined function name (see Func). h is the step value. If h is omitted, it defaults to 0.001. Note that the similar function nDeriv() uses the central-difference quotient. avgRC(f(x),x,h) ¸ f(x+h) - f(x) h avgRC(sin(x),x,h)|x=2 ¸ sin(h+2) - sin(2) h avgRC(x^2ìx+2,x) ¸ 2.ø(x - .4995) avgRC(x^2ìx+2,x,.1) ¸ 2.ø(x - .45) avgRC(x^2ìx+2,x,3) ¸ 2ø(x+1) 4Bin MATH/Base menu integer1 4Bin ⇒ integer Converts integer1 to a binary number. Binary or hexadecimal numbers always have a 0b or 0h prefix, respectively. 256 4Bin ¸ 0h1F 4Bin ¸ Zero, not the letter O, followed by b or h. 0b binaryNumber 0h hexadecimalNumber A binary number can have up to 32 digits. A hexadecimal number can have up to 8. Without a prefix, integer1 is treated as decimal (base 10). The result is displayed in binary, regardless of the Base mode. If you enter a decimal integer that is too large for a signed, 32-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range. 0b100000000 0b11111 Appendix A: Functions and Instructions 789