Learning Guide Learning Guide

308 • Indexshell plots, 115side relations, 32, 39, 187simplex, 81, 94–95simplification, 31–34automatic, 16by expanding, 33limitations, 34, 40specifying identities, 39specifying rules, 32with side relations, 32, 39simplification rules, applying, 31simplify, 31, 39, 157–160limitations, 34, 40side relations, 32type, 32vs. expand, 34with assumptions, 159with side relations, 159, 187simplifyingRootOf expressions, 53sine animation, 121singularities, plotting, 105Slode, 81Sockets, 81solution sets, 43ordering, 48solutionsfloating-point, 53numerical, 53restricting, 47verifying, 45–47solve, 43, 44, 215assumptions, 44limitations, 55specifying restrictions, 47vs. factor, 62SolveTools, 81solvingdifferential equations, 51equation sets, 43equations, 43, 47, 54expressions, assumptions, 44inequalities, 47for integers, 57modulo m, 58numerically, 53recurrence relations, 58systems of equations, 44, 47transcendental equations, 55variable sets, 43and verifying, 45–47sort, 59, 60, 160–161, 175plex, 60sortingalgebraic expression elements,160–161by length, 176by total degree, 160by total order, 60by your own order, 175lexicographically, 60, 161, 175lists, 174numerically, 175by total order, 59space curves, 133spacecurve, 133specfunc, 184specifyingelement position, 24identities for simplifying, 39plot range, 98specifying restrictionsto solve, 47sphere, 136sphereplot, 115, 116spheres, plotting, 114, 116spherical coordinates, 114animations, 124spirals, plotting, 103, 117, 119Spread, 82sqrt, 10square root function, 10, 15