decision tree
DESCRIPTION
decision, tree, math, geometry, vision, perception, creative, psychology, math, height, cone, circle, square, algebra, This is a decision tree for the height of the cone and the first set of substitutions.TRANSCRIPT
Decision Tree: Simple HeightStart with the Equation, q r = 2 p r - 2 p Hr^2 - h^2L
q :=K2 p r - 2 p Hr^2 - h^2L O
r
Solve this equation for h.
50 ê 50 Chance of selecting ::h Ø -4 p r2 q - r2 q2
2 p>, :h Ø
4 p r2 q - r2 q2
2 p>>.
If, h Ø4 p r2 q - r2 q2
2 p, 50 ê 50 chance of substitution,
Printed by Mathematica for Students
h =4 p r2 q - r2 q2
2 p=
4 p r2 q - r2 2 p + p2 - p2 Sin@bD22
2 p= Commodity,
h =4 p r2 q - r2 q2
2 p=
4 p r2 2 p + p2 - p2 Sin@bD2 - r2 q2
2 p=
Commodity
If, h Ø -4 p r2 q - r2 q2
2 p, 50 ê 50 chance of substitution,
2 Simple Height.nb
Printed by Mathematica for Students
h = -4 p r2 q - r2 q2
2 p= -
4 p r2 q - r2 2 p - p2 - p2 Sin@bD22
2 p=
Commodity, h = -4 p r2 q - r2 q2
2 p=
-
4 p r2 2 p - p2 - p2 Sin@bD2 - r2 q2
2 p= Commodity
Simple Height.nb 3
Printed by Mathematica for Students
ContourPlot3DB
4 p2 p H4 p-qL q
H4 p-qL q
2
2 p + p2 - p2 Sin@bD2 - r2 2 p + p2 - p2 Sin@bD22
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
-1.0
-0.5
0.0
0.5
1.0
-5
0
5
-1
0
1
4 Simple Height.nb
Printed by Mathematica for Students
ContourPlot3DB
1
2 p/ 4 p HrL2 2 p + p2 - p2 Sin@bD2 -
2 p H4 p - qL q
H4 p - qL q
2
2 p + p2 - p2 Sin@bD22
,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
Simple Height.nb 5
Printed by Mathematica for Students
ContourPlot3DB
4 p2 p H4 p-qL q
H4 p-qL q
2
q - r2 2 p + p2 - p2 Sin@bD22
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
6 Simple Height.nb
Printed by Mathematica for Students
ContourPlot3DB
4 p HrL2 q -2 p H4 p-qL q
H4 p-qL q
2
2 p + p2 - p2 Sin@bD22
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
Simple Height.nb 7
Printed by Mathematica for Students
ContourPlot3DB
4 p2 p H4 p-qL q
H4 p-qL q
2
2 p + p2 - p2 Sin@bD2 - r2 q2
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
-1.0
-0.5
0.0
0.5
1.0
-5
0
5
-1
0
1
8 Simple Height.nb
Printed by Mathematica for Students
ContourPlot3DB
4 p HrL2 2 p + p2 - p2 Sin@bD2 -2 p H4 p-qL q
H4 p-qL q
2
q2
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
Simple Height.nb 9
Printed by Mathematica for Students
ContourPlot3DB-
4 p2 p H4 p-qL q
H4 p-qL q
2
q -2 p H4 p-qL q
H4 p-qL q
2
2 p - p2 - p2 Sin@bD22
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
10 Simple Height.nb
Printed by Mathematica for Students
ContourPlot3DB-
4 p2 p H4 p-qL q
H4 p-qL q
2
2 p - p2 - p2 Sin@bD2 -2 p H4 p-qL q
H4 p-qL q
2
HqL2
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
-1.0
-0.5
0.0
0.5
1.0
-5
0
5
-1
0
1
Simple Height.nb 11
Printed by Mathematica for Students
ContourPlot3DB-
4 p2 p H4 p-qL q
H4 p-qL q
2
q - r2 2 p - p2 - p2 Sin@bD22
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
12 Simple Height.nb
Printed by Mathematica for Students
ContourPlot3DB-
4 p HrL2 q -2 p H4 p-qL q
H4 p-qL q
2
2 p - p2 - p2 Sin@bD22
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
Simple Height.nb 13
Printed by Mathematica for Students
ContourPlot3DB-
4 p2 p H4 p-qL q
H4 p-qL q
2
2 p - p2 - p2 Sin@bD2 - r2 q2
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
-1.0
-0.5
0.0
0.5
1.0
-5
0
5
-1
0
1
14 Simple Height.nb
Printed by Mathematica for Students
ContourPlot3DB-
4 p HrL2 2 p - p2 - p2 Sin@bD2 -2 p H4 p-qL q
H4 p-qL q
2
q2
2 p,
8r, -1, 1<, 8q, -2 p, 2 p<, 8b, -p ê 2, p ê 2<F
Simple Height.nb 15
Printed by Mathematica for Students