HP 15c Manual
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271 Subject Index Page numbers in bold type indicate primary references; page numbers in regular type indicate secondary references. A ___________________________________________ Abbreviated key sequences, 78 Absolute value (a ), 24 Allocating memory, 42, 213-219 Altering program lines, 83 Annunciators, complex, 121 list of, 60 PRGM, 32, 66 trigonometric, 26 Antilogarithms, common and natural, 28 Arithmetic operation, 29, 37 Asymptotes, horizontal, 230 Automatic incrementing of row and column numbers, 143 B ___________________________________________ Back-stepping (‚), 83 Bacterial population example, 41 Battery life, 259 Battery replacement, 260, 259-260 Bessel functions, 195, 197 Branching, conditional, 91, 98, 177, 192 indirect, 108-109, 112-114, 115 simple, 90 C ___________________________________________ C annunciator, 99, 121 Can volume and area example, 70-74 Chain calculations, 22-23, 38 Changing signs, 19 in Complex mode, 124-125
272 Subject Index in matrices, 177 “, 19 Clearing blinking in display, 100 complex numbers, 125-127 display, 21 memory, 63 operations, 20-21 overflow condition, 45, 61 prefix keys, 19 statistics registers, 49 Coefficient matrix, 156 Combinations function (c), 47 Common pool, 213 Complex arithmetic example, 132 Complex conjugate, forming, 125 Complex matrix, inverting, 162, 164, 165 multiplying, 162, 164, 166 storing elements, 161 transforming, 162, 164 Complex mode, 120-121 activating, 99, 120-121, 133 deactivating, 121 mathematics functions in, 131 stack lift in, 124 Complex numbers, clearing, 125-127 converting polar and rectangular forms, 133-135 entering, 121, 127, 128-129 storing and recalling, 130 Conditionals, indirect, 109-111, 112, 116 Conditional tests, 91, 98, 192 in Complex mode, 132 with matrix descriptors, 174 Constant matrix, 156 Constants, calculations with, 39-42 using in arithmetic calculations, 35, 39-42
Subject Index 273 Continuous Memory, duration of, 62 resetting (clearing), 63 what it retains, 43, 48, 58, 61, 62 Conventions, handbook, 18 Conversions, degrees and radians, 27 polar and rectangular coordinates, 30-31 time and angle, 26-27 Correcting accumulated statistics data, 52 Correlation coefficient, find the (j), 55-56 \,{, 26 Counters in program loops, 98, 112-114 Crocus example, 43 Cumulative calculations, 41 D ___________________________________________ Data storage, 42 Data storage pool, 213-214 Debt payment example, 95 Decimal point, 22 Decimal point display, 61 Deflation, 233, 234, 237 D, 26 Determinant, 150 Digit entry, 22 in Complex mode, 121, 125, 127, 128-129 termination, 22, 36, 209 Digit separator display, 61 m, 76-77, 215-217 Disabling stack lift, 36 Display (See also X-register), blinking, 100 clearing, 21 error messages, 61 full mantissa, 60 in Complex mode, 121 Display format, 58-59, 61 effect on ´ 200, 241, 244, 245-249 Do if True rule, 92, 192
274 Subject Index s 109-111, 112, 116 E ___________________________________________ ‛, 19 Electrical circuit example, 169-171 Enabling stack lift, 36 ^, 59 Engineering notation, 59 v, 12, 33-34, 36 effect on digit entry, 22, 29 effect on stack movement, 37, 41 Entering data for statistical analysis, 49 Error conditions, 205-208 display, 61 stops, 78 Errors, with f, 203-204 with _, 187, 192, 193 Euclidean norm (See Frobenius norm) Exchanging the real and imaginary stacks, 124 Exponential function (See Power function) Exponents, 19, 20 F ____________________________________________ ´, 18 Factorial function (!), 25 Falling stone example, 14 •, 58 Fixed decimal notation, 58 Flag tests, 92, 98 Flag 8, 99 Flag 9, 100 Format, handbook, 2, 18 Fractional portion (q), 24 Frobenius norm, 150, 177 Functions, nonprogrammable, 80 Functions, one-number, 22, 25 Functions, primary and alternate, 18 Functions, two-number, 22, 29
Subject Index 275 G ___________________________________________ |, 18 Gamma function (!), 25 g, 26 G, 101 t, 90, 97, 98 t “, 82 H ___________________________________________ Horners Method, 79, 181 Hyperbolic functions, 28 I ____________________________________________ Imaginary stack, clearing the, 124 creation of, 121-123, 133 display of, 124 stack lift of, 124 Index register arithmetic, 108, 112 display format control, 109, 114, 115, 116 exchange with X-register, 108, 112 flag control, 109, 115 loop control, 107, 109-111 storage and recall, 107, 111, 115 Indirect addressing, 106-108, 115 Initialization, 87 Instructions, 74 Integer portion (‘), 24 Integrate function (f), 194-204 accuracy of, 200-203, 240, 241-245 algorithm for, 196, 240-241, 249-251, 255-256 display format with, 245-249 execution time for, 196, 200, 244, 245, 254-256 memory usage, 204 obtaining an approximation for, 257-258 problems with erratic functions, 249-254 programmed, 203-204 recursive use of, 203 subroutines for, 194-195
276 Subject Index uncertainty in, 202-203, 240-244, 245-249 Interchanging functions (See User mode) Interference, radio and television, 271 Intermediate results, 22, 38 Interpolation, using j, 57 I, 109-111, 116 Iterations using I and s, 111 K ___________________________________________ Keycodes, 74-75 Keying in chain calculations, 22 exponents, 19-20 one-number functions, 22 two-number functions, 22, 29 L ____________________________________________ Labels, 67, 77, 90, 97 LAST X register, 35 in matrix functions, 174-176 operations saved by, 212 putting constants in, 39-40 to correct statistics data, 52 Linear equations, solving with matrices, 138, 156 Linear estimation (j), 55-56 Linear regression (L), 54 Loading the stack with constants, 39, 41 Logarithmic functions, common and natural, 28 Loop control number, 109, 116 Looping, 90, 98 Low-power indication, 62, 259 LU decomposition, 148, 155, 156, 160 Łukasiewicz, Jan, 32 M ___________________________________________ Mantissa, displaying full 10 digits, 60 Matrix complex, 160-163 copying, 149 descriptors, 139, 147, 160, in RI, 173-174
Subject Index 277 dimensioning, 140, 142, 142, 174 dimensions, displaying, 142, 147 equation, complex, 168 memory, 140, 171 name (See Matrix descriptors) partitioned, 161, 164 Matrix elements, accessing individually, 145-147 displaying, 144 storing and recalling, 143-144, 147, 149, 176 Matrix functions, using RI, 173-174 using registers, 173 arithmetic, 153 conditional, 177 inverse, 150, 154 multiplication, 154 one-matrix, 149-151 programmed, 176-177 reciprocal, 150 residual, 159 row norm, 150, 177 summary, 177-179 transpose, 150, 151, 154 Mean (’). 53 W, 215 Memory allocation, 76, 215-217 availability, 75-77, 213, 215 configuration, initial, 75-76 distribution, 75, 213-214 limitations, 75, 77, 217 requirements for advanced functions, 218-219 requirements for programming, 218 stack (See Stack) status display, 215 registers in, 213-215 Metal box dimensions example, 189-191 Minima, finding with _, 230 Modes, trigonometric, 26
278 Subject Index Multiple roots, 234 N ___________________________________________ Negative numbers, 19 in Complex mode, 124-125 Nested calculations, 38 Neutral operations, 211 Nonprogrammable functions, 80 Normalizing statistics data, 50 null display, 144, 149 Numerical integration, 194-204 O ___________________________________________ =, and off, 18 to reset Continuous Memory, 63 to set decimal point display, 61 Overflow condition, 45, 61, 100 P____________________________________________ ¥, 66, 68 Pause (©), 68 Percent difference (∆), 29 Percentage functions, 29-30 Permutations function (p), 47 Phasor notation, 133 Pi, 24 Polar coordinates, 30, in Complex mode, 133-135 Power function (y), 29 Prefix keys, 19 PRGM annunciator, 66, 82 Program control, indirect, 107, 109-111 data entry techniques, 69-70 end, 68, 77 entering, 66-68 labels, 67, 77 loading, 66 loop counters, 109, 112-114, 116 mode, 66, 68, 86
Subject Index 279 position, changing, 82, 86 running, 68-69 starting, 69 stops, 68, 78 Program execution, 69 after G, 101 after t, 97 after overflow, 100 after test, 92 from or through labels, 78-79 Program lines (instructions), 67, 74 deleting, 83, 86 inserting, 83, 86 Program memory, 67, 70, 75, 217-219 automatic real location, 217-218 clearing, 67 moving in, 67 Q ___________________________________________ Quadratic equation, solving, 181 R ___________________________________________ R0 and R1, using to access matrix elements, 143, 146, 176 R, 26 Radioisotope example, 93-94 Random number generator (#), 48 Random number storage and recall, 48 Recall arithmetic, 44 Recalling accumulated statistics data, 50 Recalling numbers (l), 42, 44, with matrices, 144, 149, 176 Reciprocal (∕), 25, with matrix, 150 Rectangular coordinates, 31, in Complex mode, 133-135 Registers, converting, 215-217 Reset Continuous Memory, 63 Residual, 159 Result matrix, 147, 148, 150, 152 Return (n), 68, 77 Returns, pending, 101, 105, 192, 204 Reverse Polish Notation, 32 } 124, 127
280 Subject Index Rice yield example, 50-56 Ridget hurling example, 184-186, 224-226 Roll down, 34 Roll up, 34 Roots, eliminating, 233, 234, 237 Roots, meaningless, 188, 191 Rounding (&), 24 Rounding in the display, 59 Round-off errors, 52, 60, with _, 223, 237 Row norm, 150, 177 Run/Stop (¦), 68, 91 running display, 69, 147, 182 S ___________________________________________ Scalar operations, 151-153 i, 58 Scientific notation, 58 Scrolling, 82 Secant line calculation example, 102 Self-tests, 261 Service information, 267-270 Shear stress example, 227-228 [, ,, 26 Sine integral example, 198-199 Single-stepping (Â), 82, 85 Skip if True rule, 110 Slope, finding the, 54 _, 180-181 accuracy, 222-226, specifying, 238 algorithm, 182, 187-188, 220-222, 230-231 conditions necessary for, 221-222 constant function value with, 187, 189 execution time, 238 illegal math routine with, 187-188 initial estimates with, 181, 188-192, 221, 233, 237 memory usage, 193 nonzero minimum of function with, 187 programmed, 192 recursive use of, 193 restrictions on, 193