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Past exam of the mathematics course of the University of Cambridge
/
2023
/
ia
/
Paper 2
/
7A
/
a
/
iii
/
Solution
...
2023
ia
Paper 2
7A
a
iii
OurBigBook.com
Words: 24
For a compactly supported test
function
f
,
⟨
H
′
,
f
⟩
=
−
⟨
H
,
f
′
⟩
=
−
∫
0
∞
f
′
(
t
)
d
t
=
f
(
0
)
=
⟨
δ
,
f
⟩
.
(30)
Thus this is the
distributional derivative of the Heaviside step function
:
H
′
=
δ
.
Solved by gpt-5.6-sol high.
Ancestors
(12)
Iii
A
7A
Paper 2
Ia
2023
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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