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ray-marching sphere: cost (2)
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Expression 9: "x" equals "c" left parenthesis, "y" , 100 , right parenthesis
x
=
c
y
,
1
0
0
9
Expression 10: "x" equals "y" times "c" left parenthesis, "y" , 10 , right parenthesis
x
=
y
·
c
y
,
1
0
10
Expression 11: Start integral from 0 to 1, end integral, "y" times "c" left parenthesis, "y" , 10 , right parenthesis "d" "y"
∫
1
0
y
·
c
y
,
1
0
d
y
equals
=
4.0 6 2 2 7 0 8 7 3 3 1
4
.
0
6
2
2
7
0
8
7
3
3
1
11
Expression 12: Start integral from 1 to 1.5, end integral, "y" times "c" left parenthesis, "y" , 10 , right parenthesis "d" "y"
∫
1
.
5
1
y
·
c
y
,
1
0
d
y
equals
=
8.5 2 4 7 1 4 3 7 2 4 4
8
.
5
2
4
7
1
4
3
7
2
4
4
12
Expression 13: Start integral from 1.5 to 3, end integral, "y" times "c" left parenthesis, "y" , 10 , right parenthesis "d" "y"
∫
3
1
.
5
y
·
c
y
,
1
0
d
y
equals
=
21.0 6 6 6 0 7 7 4 8 8
2
1
.
0
6
6
6
0
7
7
4
8
8
13
Expression 14: "e" Subscript, "p" "s" , Baseline equals 0.0 4
e
p
s
=
0
.
0
4
0
0
0.2
0
.
2
14
Expression 15: "y" Subscript, "r" , Baseline equals left bracket, 0 , .2 , ... , 5 , right bracket
y
r
=
0
,
.
2
,
.
.
.
,
5
equals
=
0
0
0.2
0
.
2
0.4
0
.
4
0.6
0
.
6
0.8
0
.
8
1
1
1.2
1
.
2
1.4
1
.
4
1.6
1
.
6
1.8
1
.
8
2
2
2.2
2
.
2
2.4
2
.
4
2.6
2
.
6
2.8
2
.
8
26 element list
15
Expression 16: left parenthesis, "x" plus 7 , right parenthesis squared plus "y" squared less than or equal to 1
x
+
7
2
+
y
2
≤
1
16
Expression 17: "y" equals "y" Subscript, "r" , Baseline left brace, "x" less than negative 5 , right brace
y
=
y
r
x
<
−
5
17
Expression 18: "y" equals 1 plus 0
y
=
1
+
0
equals
=
1
1
18
19
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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