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n+1 |
t О (- Ґ , + Ґ) ; (x,t) О E |
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We
have a new system of n equations
with n+1 unknowns. Obviously,
equation (2) describes a |
certain curve in
space with n+1 dimensions. |
a О (- Ґ , + Ґ) ; t = t(a) ; x1 = x1(a) ; ... xn =
xn(a) .
By deriving (2) we obtain
м |
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df1 |
dx1 |
+ |
df1 |
dx2 |
+ |
... |
+ |
df1 |
dxn |
- |
f01 |
dt |
= |
0; |
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п |
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dx1 |
da |
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dx2 |
da |
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dxn |
da |
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da |
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п |
|
... |
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п |
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dfn |
dx1 |
+ |
dfn |
dx2 |
+ |
... |
+ |
dfn |
dxn |
- |
f0n |
dt |
= |
0; |
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н |
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dx1 |
da |
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dx2 |
da |
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dxn |
da |
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da |
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(3) |
п |
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x1(
0 ) = x01; |
п |
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... |
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п |
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xn(
0 )= x0n; |
о |
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t ( 0 ) =1 ; |
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