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Introduction to Classical Mechanics
· Problem 2.28
Statics — Morin
Physics — Mechanics · linear_function
Problem
Linear function * Show that if a function satisfies
f
(
a
)
+
f
(
b
)
=
f
(
a
+
b
)
f(a) + f(b) = f(a + b)
f
(
a
)
+
f
(
b
)
=
f
(
a
+
b
)
, then
f
(
r
x
)
=
r
f
(
x
)
f(rx) = rf(x)
f
(
r
x
)
=
r
f
(
x
)
for any
x
x
x
and for any rational number
r
r
r
.
Related theory
Linear Function Approximation
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