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#### 15.1.2.1 Three-dimensional Function Plotting

Function File: ezplot3 (fx, fy, fz)
Function File: ezplot3 (…, dom)
Function File: ezplot3 (…, n)
Function File: ezplot3 (h, …)
Function File: h = ezplot3 (…)

Plots in three-dimensions the curve defined parametrically. fx, fy, and fz are strings, inline functions or function handles with one arguments defining the function. By default the plot is over the domain `-2*pi < x < 2*pi` with 60 points.

If dom is a two element vector, it represents the minimum and maximum value of t. n is a scalar defining the number of points to use.

The optional return value h provides a list of handles to the the parts of the vector field (body, arrow and marker).

 ```fx = @(t) cos (t); fy = @(t) sin (t); fz = @(t) t; ezplot3 (fx, fy, fz, [0, 10*pi], 100); ```

Function File: ezmesh (f)
Function File: ezmesh (fx, fy, fz)
Function File: ezmesh (…, dom)
Function File: ezmesh (…, n)
Function File: ezmesh (…, 'circ')
Function File: ezmesh (h, …)
Function File: h = ezmesh (…)

Plots the mesh defined by a function. f is a string, inline function or function handle with two arguments defining the function. By default the plot is over the domain `-2*pi < x < 2*pi` and `-2*pi < y < 2*pi` with 60 points in each dimension.

If dom is a two element vector, it represents the minimum and maximum value of both x and y. If dom is a four element vector, then the minimum and maximum value of x and y are specify separately.

n is a scalar defining the number of points to use in each dimension.

If three functions are passed, then plot the parametrically defined function ```[fx (s, t), fy (s, t), fz (s, t)]```.

If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain dom.

The optional return value h provides a list of handles to the the parts of the vector field (body, arrow and marker).

 ```f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2); ezmesh (f, [-3, 3]); ```

An example of a parametrically defined function is

 ```fx = @(s,t) cos (s) .* cos(t); fy = @(s,t) sin (s) .* cos(t); fz = @(s,t) sin(t); ezmesh (fx, fy, fz, [-pi, pi, -pi/2, pi/2], 20); ```

Function File: ezmeshc (f)
Function File: ezmeshc (fx, fy, fz)
Function File: ezmeshc (…, dom)
Function File: ezmeshc (…, n)
Function File: ezmeshc (…, 'circ')
Function File: ezmeshc (h, …)
Function File: h = ezmeshc (…)

Plots the mesh and contour lines defined by a function. f is a string, inline function or function handle with two arguments defining the function. By default the plot is over the domain `-2*pi < x < 2*pi` and `-2*pi < y < 2*pi` with 60 points in each dimension.

If dom is a two element vector, it represents the minimum and maximum value of both x and y. If dom is a four element vector, then the minimum and maximum value of x and y are specify separately.

n is a scalar defining the number of points to use in each dimension.

If three functions are passed, then plot the parametrically defined function ```[fx (s, t), fy (s, t), fz (s, t)]```.

If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain dom.

The optional return value h provides a list of handles to the the parts of the vector field (body, arrow and marker).

 ```f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2); ezmeshc (f, [-3, 3]); ```

Function File: ezsurf (f)
Function File: ezsurf (fx, fy, fz)
Function File: ezsurf (…, dom)
Function File: ezsurf (…, n)
Function File: ezsurf (…, 'circ')
Function File: ezsurf (h, …)
Function File: h = ezsurf (…)

Plots the surface defined by a function. f is a string, inline function or function handle with two arguments defining the function. By default the plot is over the domain `-2*pi < x < 2*pi` and `-2*pi < y < 2*pi` with 60 points in each dimension.

If dom is a two element vector, it represents the minimum and maximum value of both x and y. If dom is a four element vector, then the minimum and maximum value of x and y are specify separately.

n is a scalar defining the number of points to use in each dimension.

If three functions are passed, then plot the parametrically defined function ```[fx (s, t), fy (s, t), fz (s, t)]```.

If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain dom.

The optional return value h provides a list of handles to the the parts of the vector field (body, arrow and marker).

 ```f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2); ezsurf (f, [-3, 3]); ```

An example of a parametrically defined function is

 ```fx = @(s,t) cos (s) .* cos(t); fy = @(s,t) sin (s) .* cos(t); fz = @(s,t) sin(t); ezsurf (fx, fy, fz, [-pi, pi, -pi/2, pi/2], 20); ```

Function File: ezsurfc (f)
Function File: ezsurfc (fx, fy, fz)
Function File: ezsurfc (…, dom)
Function File: ezsurfc (…, n)
Function File: ezsurfc (…, 'circ')
Function File: ezsurfc (h, …)
Function File: h = ezsurfc (…)

Plots the surface and contour lines defined by a function. f is a string, inline function or function handle with two arguments defining the function. By default the plot is over the domain ```-2*pi < x < 2*pi``` and `-2*pi < y < 2*pi` with 60 points in each dimension.

If dom is a two element vector, it represents the minimum and maximum value of both x and y. If dom is a four element vector, then the minimum and maximum value of x and y are specify separately.

n is a scalar defining the number of points to use in each dimension.

If three functions are passed, then plot the parametrically defined function ```[fx (s, t), fy (s, t), fz (s, t)]```.

If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain dom.

The optional return value h provides a list of handles to the the parts of the vector field (body, arrow and marker).

 ```f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2); ezsurfc (f, [-3, 3]); ```

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