96
whereby
φ
σ
σ
σ
π
s
s s ds
s
s
r
s
0
1
0
2
0
2
( )
 
  =
( )
( ) =
( )
∈
( )
∫
,
.
(5.35)
This result describes the functional variable of φ as well as nondimensional
particles of σ . Here, the variable φ [S 0 ] is computed in accordance with a comprehensive graphical frame for 1 < S 0  < 10. I computed φ by a functional asymptotic
computation:
φ
β
β
ω β ω
ω
β
β
β
ω
ω
S 0
0
2
0
2
0
0
2
0
2
0
0
0
2
0
0
0
1
1
4
1
2
4
[ ]=
+
−
−
−
− −
+
+
+
ln
ln
ln
ln ln
1 1
0
(
) ( )
–
,
L ω
whereby S 0  − 1 ≪ 1 or S 0  ≫ 1,
β
ω
β
β
ω
ω
ω
ω
ω
0
2
0
0
0
0
0
1
1
1 1
1
1
1
0
=
−
=
+
(
)
−
(
)
( )=
+
(
)
∫
−
S
L
d
,
,
ln
.
and
(5.36)
The final integral could be expressed as
ω
ω ω
ω
ω
ω
+
(
)=
+





 ( )=
+ ( )
′
1
1 1
1
2
0
2
0
0
,
l n
,
L
L
whereby
′ ( )=
+






∫
−
L
d
ω
ω
ω
ω
ω
0
1
1
0
1
1
ln
,
(5.37)
=
−
−
( )
=
∞
− −
−
∑
π
ω
2
1
1
2
0
12
1
n
n
n n
.
This corrected form of heat photon proliferation instantly gives room for a precise computation of φ [S 0 ] to the accuracy that is anticipated for the estimated value
of S 0 . The below equation describes how the counteractive function of variable is
quantified:
φ
π
S
S
S
S
S
S
S
0
0
0
0
0
2
0
1
0
2
4
2
4
4
2
9
3
4
9
8
[ ]=
−
(
)+
−
(
)−
−
(
) +
+




−
ln
ln
ln
ln
 
 +…(
)
S 0 1
 ;
(5.38)
5 Integrated Building Design Technology