Plot f, x, x min, x max generates a plot of f as a function of x from x min to x max. Plot f 1, f 2,, x, x min, x max plots several functions f i.

Transcription

1 HdPlot.nb? Plot Plot f, x, x min, x max generates a plot of f as a function of x from x min to x max. Plot f, f,, x, x min, x max plots several functions f i. Plot Sin 7 x Exp x ^, x,, Plot Sin 7 x Exp x ^, x,, 4, PlotRange, 3 4 Plot Sin x, Cos x, x,,

2 HdPlot.nb Plot Sin x, x,, yvalues Table Sin x, x,,,. ;? ListPlot ListPlot y, y, plots points corresponding to a list of values, assumed to correspond to x coordinates,,. ListPlot x, y, x, y, plots a list of points with specified x and y coordinates. ListPlot list, list, plots several lists of points. ListPlot yvalues ListPlot yvalues, PlotJoined True

3 HdPlot.nb 3? ParametricPlot ParametricPlot f x, f y, u, u min, u max generates a parametric plot of a curve with x and y coordinates f x and f y as a function of u. ParametricPlot f x, f y, g x, g y,, u, u min, u max plots several parametric curves. ParametricPlot f x, f y, u, u min, u max, v, v min, v max plots a parametric region. ParametricPlot f x, f y, g x, g y,, u, u min, u max, v, v min, v max plots several parametric regions. z t_ : 3 Exp I t ParametricPlot Re z t, Im z t, t,, Pi, AspectRatio 3 3

4 HdPlot.nb 4 ParametricPlot Cosh t, Sinh t, t,,, AspectRatio ParametricPlot t 3 Sin t, 3 t, t, 5 Pi, 5 Pi 4

5 HdPlot.nb ? ContourPlot ContourPlot f, x, x min, x max, y, y min, y max generates a contour plot of f as a function of x and y. ContourPlot f g, x, x min, x max, y, y min, y max plots contour lines for which f g. ContourPlot f g, f g,, x, x min, x max, y, y min, y max plots several contour lines.

6 HdPlot.nb 6 ContourPlot x ^ y ^, x,,, y,, ContourPlot x ^ y ^, x,,, y,,

7 HdPlot.nb 7 ContourPlot x ^ y ^, x,,, y,,, ContourShading False, Contours ContourPlot x ^ y ^ 3, x,,, y,,

8 HdPlot.nb 8 ContourPlot x ^ y ^, x,,, y,,, Contours, PlotPoints 5? ContourPlot3D ContourPlot3D f, x, x min, x max, y, y min, y max, z, z min, z max produces a three dimensional contour plot of f as a function of x, y and z. ContourPlot3D f g, x, x min, x max, y, y min, y max, z, z min, z max plots the contour surface for which f g.

9 HdPlot.nb 9 ContourPlot3D z x ^ y ^, x,,, y,,, z,,, AxesLabel "x", "y", "z" x..5 z..5. y? Plot3D Plot3D f, x, x min, x max, y, y min, y max generates a three dimensional plot of f as a function of x and y. Plot3D f, f,, x, x min, x max, y, y min, y max plots several functions.

10 HdPlot.nb Plot3D Sin x y, x, 3, 3, y,.5, Plot3D x ^ y ^, x,,, y,,, AxesLabel "x", "y", "z" x 5 z y? ParametricPlot3D ParametricPlot3D f x, f y, f z, u, u min, u max produces a three dimensional space curve parametrized by a variable u which runs from u min to u max. ParametricPlot3D f x, f y, f z, u, u min, u max, v, v min, v max produces a three dimensional surface parametrized by u and v. ParametricPlot3D f x, f y, f z, g x, g y, g z plots several objects together.

11 HdPlot.nb ParametricPlot3D Cos t, Sin t, t 3, t,,

12 HdPlot.nb x Cos v Sin u Sin v Sin u Cos v ; y Cos v Sin u Sin v Sin u Sin v ; z Sin v Sin u Cos v Sin u ; ParametricPlot3D x, y, z, u,, Pi, v,, Pi? Clear Clear symbol, symbol, clears values and definitions for the symbol i. Clear " form ", " form ", clears values and definitions for all symbols whose names match any of the string patterns form i. x Cos v Cos v Sin u Sin u Sin v Clear x, y, z y y VectorAnalysis`? Grad Grad f gives the gradient, f, of the scalar function f in the default coordinate system. Grad f, coordsys gives the gradient of f in the coordinate system coordsys. Grad x y z, Cartesian x, y, z y z, x z, x y Grad 5 x ^ y ^ 3 z ^ 4, Cartesian x, y, z x y 3 z 4, 5 x y z 4, x y 3 z 3

13 HdPlot.nb 3? VectorPlot VectorPlot v x, v y, x, x min, x max, y, y min, y max generates a vector plot of the vector field v x, v y as a function of x and y. VectorPlot v x, v y, w x, w y,, x, x min, x max, y, y min, y max plots several vector fields. VectorPlot y, y, x,, 3, y, 3, 3 3 3? ContourPlot ContourPlot f, x, x min, x max, y, y min, y max generates a contour plot of f as a function of x and y. ContourPlot f g, x, x min, x max, y, y min, y max plots contour lines for which f g. ContourPlot f g, f g,, x, x min, x max, y, y min, y max plots several contour lines. P : ContourPlot Log x ^ y ^, x, 6, 6, y, 6, 6 Grad Log x ^ y ^, Cartesian x, y, z x, 4 y, x y x y x P : VectorPlot, 4 y, x, 6, 6, y, 6, 6 x y x y? Show Show graphics, options shows graphics with the specified options added. Show g, g, shows several graphics combined.

14 HdPlot.nb 4 Show P, P