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{SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 10 "Function: " }{TEXT 30 
114 "surfarrows - plot a 3D surface (parametric or cartesian) with arr
ows from a vector field at points on the surface." }}{PARA 0 "" 0 "" 
{TEXT 26 17 "Calling sequence:" }{TEXT -1 1 " " }}{PARA 0 "" 0 "" 
{MPLTEXT 0 21 39 "surfarrows(fld,surf,s=a1..b1,t=a2..b2);" }{TEXT -1 
1 "\n" }{TEXT 26 11 "Parameters:" }{TEXT -1 1 " " }}{PARA 0 "" 0 "" 
{TEXT -1 3 "   " }{MPLTEXT 0 21 3 "fld" }{TEXT -1 86 " - the vector fi
eld, either a 3-component list or vector expression in the parameters \+
" }{MPLTEXT 0 21 1 "s" }{TEXT -1 5 " and " }{MPLTEXT 0 21 1 "t" }
{TEXT -1 199 " (specifying the vectors in terms of those parameters) o
r a function of three variables whose values are 3-component lists or \+
vectors (specifying the vector field in terms of the spatial coordinat
es " }{XPPEDIT 18 0 "x" "I\"xG6\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "y
" "I\"yG6\"" }{TEXT -1 5 " and " }{XPPEDIT 18 0 "z" "I\"zG6\"" }{TEXT 
-1 2 ")." }}{PARA 0 "" 0 "" {TEXT -1 3 "   " }{MPLTEXT 0 21 5 "surf " 
}{TEXT -1 80 "- the surface, either a 3-component list or vector expre
ssion in the parameters " }{MPLTEXT 0 21 1 "s" }{TEXT -1 5 " and " }
{MPLTEXT 0 21 1 "t" }{TEXT -1 76 " (for a parametric representation of
 the surface) or a scalar expression in " }{MPLTEXT 0 21 1 "s" }{TEXT 
-1 5 " and " }{MPLTEXT 0 21 1 "t" }{TEXT -1 19 " (representing the " }
{XPPEDIT 18 0 "z" "I\"zG6\"" }{TEXT -1 18 " coordinate while " }
{MPLTEXT 0 21 1 "s" }{TEXT -1 5 " and " }{MPLTEXT 0 21 1 "t" }{TEXT 
-1 9 " are the " }{XPPEDIT 18 0 "x" "I\"xG6\"" }{TEXT -1 5 " and " }
{XPPEDIT 18 0 "y" "I\"yG6\"" }{TEXT -1 28 " coordinates respectively).
 " }}{PARA 0 "" 0 "" {TEXT -1 3 "   " }{MPLTEXT 0 21 1 "s" }{TEXT -1 
2 ", " }{MPLTEXT 0 21 1 "t" }{TEXT -1 28 " - names for the parameters.
" }}{PARA 0 "" 0 "" {TEXT -1 3 "   " }{MPLTEXT 0 21 2 "a1" }{TEXT -1 
2 ", " }{MPLTEXT 0 21 2 "b1" }{TEXT -1 2 ", " }{MPLTEXT 0 21 2 "a2" }
{TEXT -1 2 ", " }{MPLTEXT 0 21 2 "b2" }{TEXT -1 43 " - endpoints for t
he parameter intervals.  " }{MPLTEXT 0 21 2 "a1" }{TEXT -1 5 " and " }
{MPLTEXT 0 21 2 "b1" }{TEXT -1 26 " must be constants, while " }
{MPLTEXT 0 21 2 "a2" }{TEXT -1 5 " and " }{MPLTEXT 0 21 2 "b2" }{TEXT 
-1 35 " may depend on the first parameter " }{MPLTEXT 0 21 1 "s" }
{TEXT -1 3 ".  " }}{PARA 0 "" 0 "" {TEXT -1 23 "   Optional arguments:
 " }}{PARA 15 "" 0 "" {TEXT -1 2 "  " }{MPLTEXT 0 21 12 "arrowgrid= [
" }{XPPEDIT 18 0 "n[1]" "&%\"nG6#\"\"\"" }{TEXT -1 2 ", " }{XPPEDIT 
18 0 "n[2]" "&%\"nG6#\"\"#" }{MPLTEXT 0 21 1 "]" }{TEXT -1 19 "  for a
rrows in an " }{XPPEDIT 18 0 "n[1]" "&%\"nG6#\"\"\"" }{TEXT -1 4 " by \+
" }{XPPEDIT 18 0 "n[2]" "&%\"nG6#\"\"#" }{TEXT -1 76 " grid, equally s
paced in terms of the parameters of the surface (default is " }
{MPLTEXT 0 21 15 "arrowgrid=[8,8]" }{TEXT -1 2 ")." }}{PARA 15 "" 0 "
" {MPLTEXT 0 21 13 " scalefactor=" }{TEXT -1 1 " " }{XPPEDIT 18 0 "s" 
"I\"sG6\"" }{TEXT -1 44 " to multiply arrow lengths by real constant \+
" }{XPPEDIT 18 0 "s" "I\"sG6\"" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" 
{MPLTEXT 0 21 16 " arrowthickness=" }{TEXT -1 1 " " }{XPPEDIT 18 0 "n
" "I\"nG6\"" }{TEXT -1 35 " for thickness of the arrow shaft (" }
{XPPEDIT 18 0 "n" "I\"nG6\"" }{TEXT -1 52 " should be 0, 1, 2 or 3, de
fault is the same as the " }{MPLTEXT 0 21 9 "thickness" }{TEXT -1 35 "
 option if specified, or 3 if not)." }}{PARA 15 "" 0 "" {TEXT -1 3 "  \+
 " }{MPLTEXT 0 21 12 "arrowcolour=" }{TEXT -1 1 " " }{XPPEDIT 18 0 "c
" "I\"cG6\"" }{TEXT -1 53 " to specify arrow colour (default is the sa
me as the " }{MPLTEXT 0 21 6 "colour" }{TEXT -1 62 " option if specifi
ed, or red if not).  The alternate spelling " }{MPLTEXT 0 21 10 "arrow
color" }{TEXT -1 12 " is allowed." }}{PARA 15 "" 0 "" {TEXT -1 37 "   \+
other 3D surface plotting options." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 
26 12 "Description:" }}{PARA 15 "" 0 "" {TEXT -1 102 "This function cr
eates a 3D plot data object which consists of a surface, plotted as wi
th the command \n" }{MPLTEXT 0 21 32 "plot3d(surf, s=a1..b1, t=a2..b2)
" }{TEXT -1 31 " (including all options of the " }{MPLTEXT 0 21 10 "su
rfarrows" }{TEXT -1 15 " command except" }{MPLTEXT 1 0 1 " " }
{MPLTEXT 0 21 9 "arrowgrid" }{TEXT -1 2 ", " }{MPLTEXT 0 21 11 "scalef
actor" }{TEXT -1 2 ", " }{MPLTEXT 0 21 14 "arrowthickness" }{TEXT -1 
5 " and " }{MPLTEXT 0 21 11 "arrowcolour" }{TEXT -1 45 "), plus arrows
 representing the vector field " }{MPLTEXT 0 21 3 "fld" }{TEXT -1 34 "
 drawn at points on the surface.  " }}{PARA 15 "" 0 "" {TEXT -1 18 "Un
less the option " }{MPLTEXT 0 21 19 "scaling=constrained" }{TEXT -1 
129 " (\"Projection, Constrained\" on the plot menu or \"1-1\" on the \+
context bar) is used, the shapes of the arrowheads may be distorted." 
}}{PARA 15 "" 0 "" {TEXT -1 37 "This function is part of the package \+
" }{MPLTEXT 0 21 8 "surfarro" }{TEXT -1 85 " in the Maple Advisor Data
base library, and must be loaded before use by the command " }
{MPLTEXT 0 21 15 "with(surfarro);" }{TEXT -1 4 " or " }{MPLTEXT 0 21 
26 "with(surfarro,surfarrows);" }{TEXT -1 1 "." }}}{SECT 0 {PARA 3 "" 
0 "" {TEXT 26 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "with(surfarro,surfarrows):" }}}{PARA 0 "" 0 "" {TEXT -1 81 "Surfac
e is a sphere represented parametrically, vectors are tangent to merid
ians." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 192 "surf1:=  [sin(t)*c
os(s),sin(t)*sin(s),cos(t)];\nF1:= diff(surf1,t);\nsurfarrows(F1, surf
1, s = 0 .. 2*Pi, t = 0 .. Pi,\n  scalefactor=0.4, style=patch, scalin
g=constrained,   orientation=[0,70]);" }}}{PARA 0 "" 0 "" {TEXT -1 
108 "Surface is a hemisphere represented in Cartesian coordinates, vec
tors are normal to surface.  Note that the " }{XPPEDIT 18 0 "y" "I\"yG
6\"" }{TEXT -1 21 " interval depends on " }{XPPEDIT 18 0 "x" "I\"xG6\"
" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 230 "surf2:=
 sqrt(1-x^2-y^2);\nF2:= [x,y,surf2];\nsurfarrows(F2,surf2, x = -1 .. 1
, y = -0.999*sqrt(1-x^2) .. 0.999*sqrt(1-x^2), orientation = [90, 45],
  \n  scalefactor=1/3, style=patchcontour,   scaling=constrained, arro
wthickness = 2);" }}}{PARA 0 "" 0 "" {TEXT -1 53 "Parametric hemispher
e, vector field is a function of " }{XPPEDIT 18 0 "x" "I\"xG6\"" }
{TEXT -1 2 ", " }{XPPEDIT 18 0 "y" "I\"yG6\"" }{TEXT -1 5 " and " }
{XPPEDIT 18 0 "z" "I\"zG6\"" }{TEXT -1 43 " coordinates (a dipole fiel
d in this case):" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 241 "F3:= (x
,y,z) -> [3*x*z, 3*y*z, 2*z^2-x^2-y^2];\nsurfarrows(F3,surf1, s = 0 ..
 2*Pi, t = 0 .. Pi/2,\n  arrowcolour=blue, scalefactor = 1/4, arrowgri
d=[10,5],       arrowthickness=1, scaling=constrained,   style=patchno
grid, orientation=[0,60]);" }}}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "Se
e also:" }{TEXT -1 1 " " }{HYPERLNK 17 "arrow3d" 2 "arrow3d" "" }
{TEXT -1 3 ",  " }{HYPERLNK 17 "curvarrows" 2 "curvarrows" "" }{TEXT 
-1 2 ", " }{HYPERLNK 17 "plot3d" 2 "plot3d" "" }}}{SECT 0 {PARA 0 "" 
0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT -1 18 "  R. Israel, 1
998\n" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "2 4 0" 50 }
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