Лекции по векторному и тензорному анализу. Лосик М.В. - 6 стр.

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СГУ им. Чернышевского | Саратов

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Рубрика: 

~a(t)
t
0
lim
t→t
0
~a(t) ~a(t
0
)
∆
~
(t
0
) = ~a(t
0
+ ∆t) − ~a(t
0
) ∆t = t − t
0
~a(t) t
0
~a(t) t
0
lim
t→t
0
∆~a(t
0
) = 0
~a(t)
~a(t)( a
x
(t), a
y
(t), a
z
(t) ).
~a(t) t
0
a
x
(t), a
y
(t), a
z
(t)
t
0
~a(t)
t
0
lim
t→t
0
~a(t) −~a(t
0
)
t − t
0
= lim
∆t→0
∆~a(t
0
)
∆t
~a(t) t
0
~a
0
(t
0
)
d~a
dt
(t
0
) ~a(t)
t
0
~a(t)
∆a
x
(t
0
)
∆t
,
∆a
y
(t
0
)
∆t
,
∆a
z
(t
0
)
∆t
,
.
~a(t) t
0
a
x
(t), a
y
(t), a
z
(t)
~a
0
(t
0
)
a
0
x
(t
0
), a
0
y
(t
0
), a
0
z
(t
0
)
~a(t)
~
b(t) ~c(t) k(t)
t
0
~a(t) +
~
b(t)
k(t)~a(t) [~a(t),
~
b(t)] (~a(t),
~
b(t) ) (~a(t) ,
~
b(t) ,~c(t))
t
0

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