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Graph Theory : Rooted Trees

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Posted on : 12:05 AM | By : ChuckMensen

Many of the applications of graph theory, particularly in computing, use a certain kind of tree, called a ‘rooted tree’. This is simply a tree where a particular vertex has been distinguished or singled out from the rest. These are the trees used to show the relationships between a person’s descendants—the familiar ‘family
tree’. The picture below is a typical family tree showing the descendants of greatgrandmother Mary who would be the distinguished vertex in this case.










Math and Flash : How to Create a 3D Image Reflection in AS3 and Flash CS4

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Posted on : 1:50 PM | By : ChuckMensen

Here's the code :


/*
We have imported to the Library a 160 by 160 jpeg image, shuttle160m.jpg. Using the Properties - Linkage item in the Library menu, we exported the image to AS3 under the class name 'Shuttle'.
*/

var picWidth:Number=160;
var picHeight:Number=160;
//The gap, in pixels betwen the image and its reflection.
var gap:Number=1;
var goLeft:Boolean=false;
var goRight:Boolean=false;
/*
'Shuttle' is a BitmapData object which can be instantiated at runtime. This is what we are doing in the next line. Then we create two Bitmaps, 'topImg' and 'reflImg', to hold the image and its reflection, repectively.
*/

var imgBD:BitmapData=new Shuttle(160,160);
var topImg:Bitmap=new Bitmap(imgBD);
var reflImg:Bitmap=new Bitmap(imgBD);
/*
Since we want to rotate the image and its reflection about a vertical axis through the center of both images, we create containers topCont and reflCont and position the images in those containers so the registration point is in the center. Since we want the whole assembly to have its own perspective projection, we create a container for both containers, ppCont.
*/

var topCont:Sprite=new Sprite();
var reflCont:Sprite=new Sprite();
var ppCont:Sprite=new Sprite();
this.addChild(ppCont);
topCont.addChild(topImg);
topImg.x=-picWidth/2;
topImg.y=-picHeight/2;
reflCont.addChild(reflImg);
reflImg.x=-picWidth/2;
reflImg.y=-picHeight/2;
//We flip the reflected image about the x axis.
reflCont.rotationX=180;
ppCont.addChild(topCont);
topCont.x=picWidth/2;
topCont.y=picHeight/2;
topCont.z=0;
ppCont.addChild(reflCont);
reflCont.x=topCont.x;
reflCont.y=topCont.y+picHeight+gap;
reflCont.z=0;
var pp:PerspectiveProjection=new PerspectiveProjection();
pp.fieldOfView=55;
pp.projectionCenter=new Point(picWidth/2,picHeight/2);
ppCont.transform.perspectiveProjection=pp;
/*



Microsoft Excel 2007 for Mathematics Learning

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Posted on : 1:33 PM | By : ChuckMensen

Microsoft Office Excel 2007 is a powerful tool you can use to create and format spreadsheets, and analyze and share information to make more informed decisions. With the Microsoft Office Fluent user interface, rich data visualization, and PivotTable views, professional-looking charts are easier to create and use. Office Excel 2007, combined with Excel Services, a new technology that will ship with Microsoft Office SharePoint Server 2007, provides significant improvements for sharing data with greater security. You can share sensitive business information more broadly with enhanced security with your coworkers, customers, and business partners. By sharing a spreadsheet using Office Excel 2007 and Excel Services, you can navigate, sort, filter, input parameters, and interact with PivotTable views directly on the Web browser



GeoGebra , Free but Powerfull Math Software to ...

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Posted on : 8:40 AM | By : ChuckMensen



What’s GeGebra??
We’ll find it out here . GeoGebra is dynamic mathematics software . GeoGebra can be used for all levels of education that joins arithmetic, geometry, algebra and calculus. GeoGebra offers multiple representations of objects in its graphics, algebra, and spreadsheet views that are all dynamically linked.
Do you know how to use GeoGebra ?