KmPlot/Using Sliders: Difference between revisions

Latest revision as of 18:08, 11 October 2010

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A main feature of KmPlot is to visualize the influence of parameters to the curve of a function.

Moving a Sinus Curve

Let's see, how to move a sinus curve left and right:

Create a new Cartesian plot.
Enter the equation
```
f(x,a) = sin(x-a)
```
Check the Slider option and choose Slider No. 1 from the drop down list.
To make the available sliders visible, check View -> Show Sliders

Now you can move the slider and see how the parameter value modifies the position of the curve.

Screenshots
Input
Show sliders option
Slider window

Trajectory of a Projectile

Now let's have a look at the maximum distance of a projectile thrown with different angles. We use a parametric plot depending on an additional parameter which is the angle.

Define a constant v_0 for the starting velocity.
Create a new parametric plot

Enter the equations

f_x(t,α) = v_0∙cos(α)∙t
f_y(t,α) = 2+v_0∙sin(α)∙t−5∙t^2

Check the Slider option and choose Slider No. 1 from the drop down list.
To make the available sliders visible, check View -> Show Sliders

Now you can move the slider and see how the distance depends on the parameter value.

@@ Line 1: / Line 1: @@
 <languages />
 <translate>
-A main feature fo '''KmPlot''' is to visualize the influence of parameters to the curve of a function.
+<!--T:1-->
+A main feature of '''KmPlot''' is to visualize the influence of parameters to the curve of a function.
-==Moving a Sinus Curve==
+==Moving a Sinus Curve== <!--T:2-->
+<!--T:3-->
 Let's see, how to move a sinus curve left and right:
-* Create a new cartesian plot.
+<!--T:4-->
+* Create a new Cartesian plot.
 * Enter the equation {{Input|1=f(x,a) = sin(x-a)}}
 * Check the <menuchoice>Slider</menuchoice> option and choose <menuchoice>Slider No. 1</menuchoice> from the drop down list.
 * To make the available sliders visible, check <menuchoice>View -> Show Sliders</menuchoice>
+<!--T:5-->
 Now you can move the slider and see how the parameter value modifies the position of the curve.
-===Screenshots===
+<!--T:7-->
+<gallery perrow="3" caption="Screenshots">
-<gallery perrow="3">
 Image:Kmplot_function_with_param.png|Input
 Image:Kmplot_view_show_sliders.png|Show sliders option
@@ Line 22: / Line 25: @@
 </gallery>
-==Trajectory of a Projectile==
+==Trajectory of a Projectile== <!--T:8-->
-[[Image:Kmplot_projectile.png|thumb]]
+<!--T:13-->
-Now let's have a look at the maximum distance of a projectile thrown with different angles. We use a parametric plot depending on an additional parameter which is the angel.
+Now let's have a look at the maximum distance of a projectile thrown with different angles. We use a parametric plot depending on an additional parameter which is the angle.
-* Define a contant v_0 for the starting velocity.
+<!--T:10-->
+* Define a constant v_0 for the starting velocity.
 * Create a new parametric plot
 * Enter the equations {{Input|1=<nowiki>f_x(t,α) = v_0∙cos(α)∙t
-f_y(t,α) =2+ v_0∙sin(α)∙t−5∙t^2</nowiki>}}
+f_y(t,α) = 2+v_0∙sin(α)∙t−5∙t^2</nowiki>}}
 * Check the <menuchoice>Slider</menuchoice> option and choose <menuchoice>Slider No. 1</menuchoice> from the drop down list.
 * To make the available sliders visible, check <menuchoice>View -> Show Sliders</menuchoice>
+<!--T:11-->
 Now you can move the slider and see how the distance depends on the parameter value.
+<!--T:14-->
+[[Image:Kmplot_projectile.gif|center|692px|]]
+<!--T:12-->
 [[Category:Education]]
 </translate>