Recent changes to Example functions

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Tue, 25 Dec 2012 01:22:28 -0000

--- v11
+++ v12
@@ -21,6 +21,23 @@
 [[img src=EditCartesian02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]

 If you do this, you should end up with a surface that looks something like this. Note that you may have to zoom in or out and transalte the graph to get something that looks exactly like this, however you should have something that approximates it.
-
-[[img src=CartesianSin01.png  alt="Cartesian surface representing sin(y)"]]

+[[img src=CartesianSin01.png  alt="Cartesian surface representing sin(y)"]]
+
+This example uses only the *y* position to determine the height of the surface. However, you can mix different variables with more complex expressions for the function to create more varied surfaces. For example, suppose we multiply the previous function by cos(*x*), as shown below.
+
+[[img src=EditCartesian03.png  alt="Creating the function sin(y)*cos(x)"]]
+
+The you would generate an undulating surface that should look similar to the following.
+
+[[img src=EditCartesian04.png  alt="Cartesian surface representing sin(y)*cos(x)"]]
+
+However, it's not just the shape of the surface that you have control over. You can also change the colours used across the surface using similar functions as well. Clicking on the **Colour** tab in the window will bring up a new set of fields that can be filled out to represent the colour. You can select a specific colour for the entire surface by clicking on the colour selection rectangle. However, you can also specify the colour based on a function, similar to that shown below.
+
+[[img src=EditCartesian05.png  alt="Cartesian surface colour editing"]]
+
+You can use any function of *x*, *y*, *z* (for the height) and *t* for time when constructing your functions. The functions shown in the window above should generate a surface colouring similar to the following.
+
+[[img src=EditCartesian06.png  alt="Coloured Cartesian surface"]]
+
+

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Tue, 25 Dec 2012 01:14:19 -0000

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:59:08 -0000

--- v9
+++ v10
@@ -14,13 +14,13 @@

 If you create a Cartesian plane, its edit window will initially look like the following.

-[[img src=EditCartesian01.png  alt="Editing the function for a Cartesian surface"]]
+[[img src=EditCartesian01.png  alt="Editing the function for a Cartesian surface"]]

 The Function field allows you to specify the height of the surface above the *x*-*y* plane using the variables *x* and *y* (representing the position on the plane) and *t* (representing time). We're going to set the height to be equal to sin(*y*), which we can do by filling out the function field as follows.

-[[img src=EditCartesian02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]
+[[img src=EditCartesian02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]

 If you do this, you should end up with a surface that looks something like this. Note that you may have to zoom in or out and transalte the graph to get something that looks exactly like this, however you should have something that approximates it.
+
+[[img src=CartesianSin01.png  alt="Cartesian surface representing sin(y)"]]

-[[img src=CartesianSin01.png  alt="Cartesian surface representing sin(y)"]]
-

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:58:39 -0000

--- v8
+++ v9
@@ -22,3 +22,5 @@

 If you do this, you should end up with a surface that looks something like this. Note that you may have to zoom in or out and transalte the graph to get something that looks exactly like this, however you should have something that approximates it.

+[[img src=CartesianSin01.png  alt="Cartesian surface representing sin(y)"]]
+

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:57:56 -0000

--- v7
+++ v8
@@ -8,7 +8,7 @@

 In their two dimensional forms, sines and cosines look like this.

-[[img src=SinCosin01.png  alt="2D sin and cosine curves"]]
+[[img src=SinCosin01.png  alt="2D sin and cosine curves"]]

 In order to use this function with Functy, it has to be applied to a three dimensional surface. There are lots of ways to do this, but the easiest is probably to use it to specify the height of a Cartesian surface.

@@ -19,3 +19,6 @@
 The Function field allows you to specify the height of the surface above the *x*-*y* plane using the variables *x* and *y* (representing the position on the plane) and *t* (representing time). We're going to set the height to be equal to sin(*y*), which we can do by filling out the function field as follows.

 [[img src=EditCartesian02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]
+
+If you do this, you should end up with a surface that looks something like this. Note that you may have to zoom in or out and transalte the graph to get something that looks exactly like this, however you should have something that approximates it.
+

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:56:44 -0000

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:53:38 -0000

--- v5
+++ v6
@@ -14,8 +14,8 @@

 If you create a Cartesian plane, its edit window will initially look like the following.

-[[img src=CartesianEdit01.png  alt="Editing the function for a Cartesian surface"]]
+[[img src=EditCartesian01.png  alt="Editing the function for a Cartesian surface"]]

 The Function field allows you to specify the height of the surface above the *x*-*y* plane using the variables *x* and *y* (representing the position on the plane) and *t* (representing time). We're going to set the height to be equal to sin(*y*), which we can do by filling out the function field as follows.

-[[img src=CartesianEdit02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]
+[[img src=EditCartesian02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:53:06 -0000

--- v4
+++ v5
@@ -16,6 +16,6 @@

 [[img src=CartesianEdit01.png  alt="Editing the function for a Cartesian surface"]]

-The Function field allows you to specify the height of the surface above the x-y plane using the variables x and y (representing the position on the plane) and t (representing time).
+The Function field allows you to specify the height of the surface above the *x*-*y* plane using the variables *x* and *y* (representing the position on the plane) and *t* (representing time). We're going to set the height to be equal to sin(*y*), which we can do by filling out the function field as follows.

 [[img src=CartesianEdit02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 15:51:25 -0000

--- v3
+++ v4
@@ -9,3 +9,13 @@
 In their two dimensional forms, sines and cosines look like this.

 [[img src=SinCosin01.png  alt="2D sin and cosine curves"]]
+
+In order to use this function with Functy, it has to be applied to a three dimensional surface. There are lots of ways to do this, but the easiest is probably to use it to specify the height of a Cartesian surface.
+
+If you create a Cartesian plane, its edit window will initially look like the following.
+
+[[img src=CartesianEdit01.png  alt="Editing the function for a Cartesian surface"]]
+
+The Function field allows you to specify the height of the surface above the x-y plane using the variables x and y (representing the position on the plane) and t (representing time).
+
+[[img src=CartesianEdit02.png  alt="Setting the function for a Cartesian surface to be sin(y)"]]

WikiPage Example functions modified by David Llewellyn-Jones

David Llewellyn-Jones — Sun, 23 Dec 2012 03:34:30 -0000

--- v2
+++ v3
@@ -8,5 +8,4 @@

 In their two dimensional forms, sines and cosines look like this.

-
-
+[[img src=SinCosin01.png  alt="2D sin and cosine curves"]]