|
|
 |
| Àâòîðèçàöèÿ |
|
|
|
| Ïîèñê ïî óêàçàòåëÿì |
|
|
|
|
|
|
|
 |
|
|
|
| Coffin D. — Algebra and Pre-Calculus on the HP 48G/GX |
|
|
|
| Ïðåäìåòíûé óêàçàòåëü |
Linear programming 162—171
lines 135
Lines in space 183 185 192—193 198—199 223
Lines, collinear 179
Lines, concurrent 135 179 200
Lines, direction vectors of 185 192 197 205
Lines, intersecting 135 200 202—203
Lines, parallel 179 200—203 212
Lines, perpendicular 179
Lines, skew 179 200—201
Lines, slope-intercept form 9 192—193
Lissajous 98
LISTS 13
Lituus spiral 96
Local names in user-defined functions 24
Logarithmic functions 20—21
Logarithmic spiral 95
Logarithms 21
Long division 115 116
Lower bound of the roots of a polynomial 119—120 122—124
Lower Âound Theorem 119
Matrices, addition of 139 158 174
Matrices, and vectors 173
Matrices, arithmetic with 139—143 158
Matrices, assembling 158
Matrices, augmented 145 148—150 152 157 159
Matrices, characterizing 135
Matrices, cofactor 153—155 159
Matrices, condition number of 136—138
Matrices, determinant of 142 150—152 154—155 158
Matrices, dimensions of 139
Matrices, disassembling 158
Matrices, editing 138
Matrices, extracting rows or columns 159
Matrices, identity 143 145 149 214 234
Matrices, ill-conditioned 137
Matrices, inserting rows or columns 159
Matrices, inverse of 142—144 149 153—156 159
Matrices, multiplication 140—141 153 158 175 216 222—223 226 231
Matrices, rank of 136 138
Matrices, reduced row echelon 145 147—149
Matrices, representing linear programs 162
Matrices, row echelon 145 147
Matrices, row operations 159
Matrices, row operations on 144—145 148 158
Matrices, scalar multiplication 139 158
Matrices, subtraction 140 158 174
Matrices, symbolic 143 157—159
Matrices, transformation 213—241
Matrices, transposing 141 154—155 158
Matrix equations 153
Maxima 102 104
MaxMin problem 170—171
Median of a triangle 190—191
Midpoint of a line segment 178 181 184—185 191 261
Minima 102 104
MinMax problem 171
Multiplication, matrices 140—141 153 158 175 216 222—223 226 231
Multiplication, scalars and matrices 139 158 174
n1 variable 50
Names 24
Nephroid 87
Normal to a conic 261—273
Normal to a plane 179 187—188 205—210
Normalization of a transformation 234—236
Numerical precision 39—40 167
Objective function in a linear program 162—166 168 170—171
Optimization 162—171
orthographic projections 228—230
Ovals of Cassini 76
parabola 243 259—260 269 272
Parabola, angle of orientation 259—260
Parabola, directrix 259—260
Parabola, eccentricity 259
Parabola, focus 259
Parabola, p parameter 260
Parabola, vertex 259—260
Parabolic axis 260
Parabolic spiral 96
Parallel lines 179 197 200—201 212 228
Parallel planes 187 205—206 208 230
Parameters 57 68
Parameters of a vector 176
Parameters, angle 57
Parameters, time 57 67 70
Parametric functions 57—58
Parametric functions, plotting 66—71
Parametric plot type 72—75
Parametric plot type and complex numbers 66
Pascal's Snails 82
Path 27 275
Pattern matching 36 40
Perimeter of a triangle 190
Period of a polar function 63
Period of a trigonometric function 41—43
Periodic functions 29 48
Perpendicular 179
Perpendicular bisector 178 184—185 227 252
Perpendicular to a conic 267
Perpendicular to a line 178—179 188 197
Perpendicular to a plane 187 205 211
Perpendicular vectors 175
Perpendicularity of the coordinate axes 212
Perspective projections 212 234 236—241
Phase shift of a trigonometric function 41—43
Pi in a complex number 59
Pivot operation 164
Plane of reflection 212 226—227
Plane, complex 60 74—75
Plane, equation of 178—179 187—188 196 203—204 208
Plane, projection 229
Plane, traces of 204 226
Plane, viewing 228—229
Plotting 3-D objects 231—233 235 237 239—241
Plotting and Connect mode (flag -31) 18
Plotting complex functions 72—75
Plotting conic sections 244—249 256 262 271—273
Plotting curves 76—99
Plotting functions 9—10 12
Plotting implicit functions 244 245
Plotting inequalities 161
Plotting object arrays 214—220 222 227 230 232—233 235 237 239—241
Plotting parametric functions 66—71
Plotting polar functions 61—65
Plotting polynomials 101—108
Plotting rational functions 18
Plotting with autoscaling 39
Plotting, angle mode 30—31
Plotting, discontinuities in 18
Plotting, range 26 61 67—68
Plotting, resolution of 18 61 67 246
Plotting, simultaneously 64 245
Points and coordinates/complex numbers 60
Points and vectors 173
Points, collinear 178—179 186 196
Points, coplanar 250
Points, homogeneous coordinate representation 213
Points, inflection 107
Points, intersection 179
Points, noncollinear 187 203 251—252
Points, vanishing 234—236
Polar angle 94
Polar coordinates 58—60
Polar functions 61—65
Polar mode 59
Polar radius 94
Polynomials 100—133
Polynomials, arithmetic with 101 109—114
Polynomials, coefficients 101 109
Polynomials, converting from vector to symbolic 110 132
| Polynomials, converting to from single-variable functions 133
Polynomials, definition 101
Polynomials, degree of 101—102 104—106 108 112 118
Polynomials, depressed 121
Polynomials, expansion 114
Polynomials, finding roots of 102 104 115
Polynomials, plotting 101—108
Polynomials, theorems 115 118—124
Principal value of angles 50
Programs 275—319 327—328
Projections 212—213 217 228—241
Projections, axonometric 228 234
Projections, dimetric 212 228 231—232
Projections, isometric 212 228 233
Projections, orthographic 228—230
Projections, perspective 212 234 236—241
Prolate curves 84—85 88—89 91—93
Pythagorean Theorem 34
Quadratic formula 121
Quadratic functions 12—18
Quotient of a polynomial division 112—113 116—123
RADIANS 30—32
Range and autoscaling 39
Range of a conic plot 247
Range of a function 11 61 68
Range of solution search 125
Rank of a matrix 136 138
Rational functions 18—19
Rational root theorem 118 120
Rational roots (polynomial) 118 120—122
Real roots (polynomial) 102 104 118—125 127—128 131
Rearrangements (symbolic) 14
Rectangular coordinates 58
Reflection 212 226—227
Remainder (polynomial div.) 112—113 116—123
Remainder theorem 118
Resolution 61 74 246
Root-finding in PICTURE mode 17 49 105 127—129
Root-finding in SOLVE application 48 124—127
Root-finding of polynomials 115—131
rose 93
Rotation 212—213 221—227 234 237 271—273
Rotation in three dimensions 223 225
Rotation, multiple 223—224 228 231
Round-off error 39—40 167
s1 variable 17
Scalar multiplication 139 158 174
Scaling 212—218 221 234
search and replace 36
Secant 29 251 265
Sector 33
Segment of a line 173
Semimajor of an ellipse 255 257
Semiminor of an ellipse 255 257—258
Sensitivity analysis 167
shearing 212—213 218—219 221
Sides of triangles 44
Simplex method 162—163
Simultaneous plotting 64
Sinusoidal spirals 97
Skew lines 179 200—201
slope 9 104 182 184 188 192—193 268
Solution space 161—163
SOLVE application 45 48 124—127 131
Solve Lin Sys application 156 253
Solve Poly application 101
Solving equations using trigonometric identities 40
Solving linear system 144 153—156 205 253 264
Solving triangles 44—47
Solving trigonometric equations 48—50
Spiral of Archimedes 94
spirals 94—97
Standard orientation 272
STEP field 67
Strofoid 82
Supplement of an angle 47 202 206
Swapping rows or columns in a matrix 159
symbolic constants 24
Symbolic inputs 33
Symbolic isolating a variable 14 48
Symbolic matrices 157—159 158
Symbolic pattern matching 36 40
Symbolic rearrangements 14
Symbolic results 22 24 36
Symbolic simplification and verification 36
Symbolic solutions of equations 17 40 50
Symbolic solutions of linear systems 157—159
Syntax 24
Synthetic division 115—124
Systems of linear equations 134—138 253
Systems of linear equations as matrix of coefficients 136 153 205
Systems of linear equations, over-determined 135 160—161
Systems of linear equations, under-determined 135 160—161
Tableau 164 167
tangents 29 265 267—273
Taylor's approximations 245
Tick-marks 18
Trace operation 16 63—64 68
Traces of a plane 179 204 226
Tractrix 98
Transformation matrix 213—241
Transformations 193 212—241 271—273
Translation 212—213 220 222 234—241 271—273
Transposing matrices 141 154—155 158
Triangles 29 34 190 198
Triangles, area of 178 190 198
Triangles, centroids of 178 190—191
Triangles, medians of 190—191
Triangles, solving 44—47
Triangulation 44 52—54
Trigonometric functions 29 32—33
Trigonometric identities 34—40
Trigonometric laws 44—45 51—52
Trigonometry 29—54
Trochoids 84—85
Unit square 215
Units in computations 51 -52
Upper bound of roots of a polynomial 119—122 124
Upper Bound Theorem 119
User interface 27
User-defined functions 24—27
Vanishing point 234 236
Variables 275
Variables, artificial 164 167
Variables, basis 164 167
Variables, decision 164 167 171
Variables, independent 57 72 74 135
Variables, slack 167
Vectors 173—177
Vectors, arithmetic 174—175
Vectors, components of 173 176 183 185 214
Vectors, direction 185 192—197 202 205 210 225
Vectors, direction angles of 173 176—180
Vectors, magnitude of 173 176—180
Vectors, normal 187—188 205—208 210
Vectors, perpendicular 175
Vectors, position 193 203 207—208 213 225
Vectors, products of 174
Vectors, translation 238 239 240 241 272 273
Vectors, weighted 181
Verifications 36 38
Vertex 163 191 243 257 259
vertical lines 270
Vertical shift of a trigonometric function 41—43
Viewing an object array 214
Viewing range 61
Weighted average 181
Wildcard 37
Witch of Agnesi 99
Zeroes of a polynomial 115
|
|
|
| Ðåêëàìà |
|
|
|
|
|
Î ïðîåêòå