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Gauss–Legendre:
Gauss–Legendre:
4
Expression 5: "i" Subscript, "n" "i" "t" "i" "a" "l" "i" "z" "e" , Baseline equals "a" Subscript, 0 , Baseline to 1 , "b" Subscript, 0 , Baseline to StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction , "t" Subscript, 0 , Baseline to 1 quarter , "p" Subscript, 0 , Baseline to 1 , "a" Subscript, 1 , Baseline to 1 , "b" Subscript, 1 , Baseline to StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction , "t" Subscript, 1 , Baseline to 1 quarter , "p" Subscript, 1 , Baseline to 1
i
n
i
t
i
a
l
i
z
e
=
a
0
→
1
,
b
0
→
1
2
,
t
0
→
1
4
,
p
0
→
1
,
a
1
→
1
,
b
1
→
1
2
,
t
1
→
1
4
,
p
1
→
1
5
Expression 6: "i" Subscript, "t" "e" "r" "a" "t" "e" , Baseline equals "a" Subscript, 1 , Baseline to StartFraction, "a" Subscript, 0 , Baseline plus "b" Subscript, 0 , Baseline Over 2 , EndFraction , "b" Subscript, 1 , Baseline to StartRoot, "a" Subscript, 0 , Baseline "b" Subscript, 0 , Baseline , EndRoot , "t" Subscript, 1 , Baseline to "t" Subscript, 0 , Baseline minus "p" Subscript, 0 , Baseline left parenthesis, "a" Subscript, 0 , Baseline minus "a" Subscript, 1 , Baseline , right parenthesis squared , "p" Subscript, 1 , Baseline to 2 "p" Subscript, 0 , Baseline , "a" Subscript, 0 , Baseline to "a" Subscript, 1 , Baseline , "b" Subscript, 0 , Baseline to "b" Subscript, 1 , Baseline , "t" Subscript, 0 , Baseline to "t" Subscript, 1 , Baseline , "p" Subscript, 0 , Baseline to "p" Subscript, 1 , Baseline
i
t
e
r
a
t
e
=
a
1
→
a
0
+
b
0
2
,
b
1
→
a
0
b
0
,
t
1
→
t
0
−
p
0
a
0
−
a
1
2
,
p
1
→
2
p
0
,
a
0
→
a
1
,
b
0
→
b
1
,
t
0
→
t
1
,
p
0
→
p
1
6
Expression 7: StartFraction, left parenthesis, "a" Subscript, 1 , Baseline plus "b" Subscript, 1 , Baseline , right parenthesis squared Over 4 "t" Subscript, 1 , Baseline , EndFraction
a
1
+
b
1
2
4
t
1
equals
=
3.1 4 1 5 9 2 6 5 3 5 9
3
.
1
4
1
5
9
2
6
5
3
5
9
7
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8
17
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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