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Guide
Amdahl's Law
Sun May 12 2024
fermicide
s
p
e
e
d
u
p
≤
1
S
+
(
1
−
S
)
N
speedup \leq \frac{1}{S + \frac{(1 - S)}{N}}
s
p
ee
d
u
p
≤
S
+
N
(
1
−
S
)
1
i
2
=
∑
r
=
0
i
−
1
(
2
r
+
1
)
=
i
+
∑
r
=
0
i
−
1
2
r
=
i
+
(
i
−
1
)
i
=
i
2
i^2 = \sum_{r = 0}^{i - 1}{(2r + 1)} = i + \sum_{r = 0}^{i - 1}2r = i + (i-1)i = i^2
i
2
=
r
=
0
∑
i
−
1
(
2
r
+
1
)
=
i
+
r
=
0
∑
i
−
1
2
r
=
i
+
(
i
−
1
)
i
=
i
2
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