prezentáció - MTA SzFKI

C. W. Oseen [ 1922 ] ““Einsteinian” needle radiation”” [ “Nadelstichstrahlung” ]
II.
E
x
ω
→−
c
2
2
xz
F(
z/
r)
e
3
r
iω(
t−r/
c)
F z/
r)
= a + a ( z/
r)
+ ... a ( z/
r)
(
0 1
+
n
n
c
S = E×
B 4 π
S ~ [ F(
z/
r)]
Let f ( z / r ) be a continuous function on the interval [ –1 , +1 ]. Then,
according to the approximation theorem of Weierstrass, for any (small)
positive ε one can find an n-th degree polynomial with real coefficients
a 1 , a 2 , …, a n , such that this (arbitrarily) approximates the function f,
2
Now let us choose f ( z / r ) such that
f ( z/
r)
= 0, −1≤
( z/
r)
≤cosϑ
| F(
z/
r)
− f ( z/
r)|