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 In[]:=? 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. In[]:= Plot Sin 7 x Exp x ^, x,, 4.5 Out[]= In[3]:= Plot Sin 7 x Exp x ^, x,, 4, PlotRange, Out[3]= 3 4 In[4]:= Plot Sin x, Cos x, x,,.5 Out[4]=

2 HdPlot.nb In[5]:= Plot Sin x, x,,.5 Out[5]= In[6]:= In[7]:= 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. In[8]:= ListPlot yvalues..5 Out[8]= In[9]:= ListPlot yvalues, PlotJoined True..5 Out[9]=

3 HdPlot.nb 3 In[]:=? 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. In[]:= In[]:= z t_ : 3 Exp I t ParametricPlot Re z t, Im z t, t,, Pi, AspectRatio Out[]= 3 3

4 HdPlot.nb 4 In[3]:= ParametricPlot Cosh t, Sinh t, t,,, AspectRatio 3 Out[3]= In[4]:= ParametricPlot t 3 Sin t, 3 t, t, 5 Pi, 5 Pi 4

5 HdPlot.nb 5 Out[4]= In[5]:=? 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 In[6]:= ContourPlot x ^ y ^, x,,, y,, Out[6]= In[7]:= ContourPlot x ^ y ^, x,,, y,,..5 Out[7]=

7 HdPlot.nb 7 In[8]:= ContourPlot x ^ y ^, x,,, y,,, ContourShading False, Contours.5 Out[8]=..5. In[9]:= ContourPlot y ^ 3 3 x ^ 3 3 x ^ y ^, 6,., x,.5,, y,, Out[9]=.5..5.

8 HdPlot.nb 8 In[]:= ContourPlot y ^ 3 3 x ^ 3 3 x ^ y ^, x,.5,, y,,.5, Contours, PlotPoints Out[]= In[]:= ContourPlot x ^ y ^ 3, x,,, y,, Out[]=

9 HdPlot.nb In[]:= ^ + y ^, 8x, -, <, 8y, -, <, Contours, PlotPoints 5D Out[]= In[3]:= -? Plot3D Plot3D@ f, 8x, xmin, xmax <, 8y, ymin, ymax <D generates a three-dimensional plot of f as a function of x and y. Plot3D@8 f, f, <, 8x, xmin, xmax <, 8y, ymin, ymax <D plots several functions. In[4]:= Plot3D@Sin@ - x yd, 8x, - 3, 3<, 8y, -.5,.5<D..5 Out[4]=

10 HdPlot.nb In[5]:= Plot3D y ^ 3 3 x ^ 3 3 x ^ y ^, x,.,.9, y,, 3..5 Out[5]= In[6]:=? 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 In[7]:= ParametricPlot3D Cos t, Sin t, t 3, t,, Out[7]=

12 HdPlot.nb In[8]:= 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 Out[3]= In[3]:=? 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. In[33]:= x Out[33]= Cos v Cos v Sin u Sin u Sin v In[34]:= In[35]:= Out[35]= Clear x, y, z y y In[36]:= In[37]:= 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. In[38]:= Out[38]= Grad x y z, Cartesian x, y, z y z, x z, x y In[39]:= Out[39]= 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 In[4]:=? 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. In[4]:= VectorPlot y, y, x,, 3, y, 3, 3 3 Out[4]= 3 In[4]:=? 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. In[43]:= In[44]:= Out[44]= In[45]:= In[46]:= 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 In[47]:= Show P, P 6 4 Out[47]=