找回密码
 立即注册
查看: 65|回复: 0

????(??)??-?????-???????

[复制链接]

0

主题

0

回帖

56

积分

管理员

积分
56
发表于 2019-9-13 23:46:11 | 显示全部楼层 |阅读模式
?????????????????????

?????????????????

???????1???2???2?3?4?5???5???26??

1??

?u???u?u????y?x

du??

2??L?x2?y2?a2????xdy?ydx??

L

?x=3cost?L?3????0?t?2??????????x2+y2?ds=? ?y=3sint.L

4????????dy??fx?y?dx???? ? 2y33

x?y?1

????1)dxdy ?

5??DD

??????????O;????ה???3??

?15??

px0?y0?px0?y0?1?????????????????????fx?y?fx?y?

????? ( )

px0?y0?px0?y0?2???????? ????????????? fx?y?fx?y?

( )

px0?y0?3???????????????fxy(x0,y0)?fyx(x0,y0)?? fx?y?

??? fxy(x0,y0)fyx(0x,0y) ?

L(B,A)( ) ( ) 4?L(A,B)?f(x,y)dx??f(x,y)dx?

5???????????D???????? ?D????( ) fx?y?fx?y?

? 1 ? ? 5 ?

????? ? ???9???45??

1????????????

I??(exsiny?3y)dx?(excosy?3)dy ?

?AO

AO??A(a,0)?O(0,0)???x2?y2?ax???????? ???

???????

???(xV2?y2)dxdydz? ?????z?x2?y2???z?4?????? ? 2 ? ? 5 ?

3??????????

I???dS?

S

??S???x2?y2?z2?R2????z?a(0?a?R)???????z?a??

4??????????

22 I????y(x?z)dydz?xdzdx?(y?xz)dxdy?

S

??S????V??0,b???0,b???0,b??????

? 3 ? ? 5 ?

5??D?(x,y)2?y2?R

????????

?????(???7???14?)

1???????

? 4 ? ? 5 ? ?2?. ????D??????z?e?(x2?y2)???

?(x2?2yz)d?x(2y?2x)z?dy2(?z2?x) ydz

L

???????????????????u(x,y,z)?

2??????????????D???????(?,?)?D, fx?y?

??

????

???????1???2???2?3?4?5???5???26??

1?xyxy??dx?dy? 22222222x?yx?yx?yx?y

2??f(x,Dy)?d?f?(?,?)D S ???SD???D???? 2?2?a?3?54? ? 4??dx?f(x,y)dy?5

?1)? 223X

??????????O;????ה???3???15??

1?? 2???3??4? ? 5?? .

? 5 ? ? 5 ?

?????????12?????

????? ? ? ?

??????1.???????????????????????,????????????????2. ???????????????????????????????????????????

?????????????????????,????????????????????????????????????????.

??? ??????

? ?????

???????????????????u1,u2,?,un??????????????????????????????????????.?

1111?2?3???n?? ??????????1. 2222

??? 1?(?1)?1?(?1)??. ??????

??????? (1?1)?(1?1)?(1?1)?? ?????0?

???? 1?[(?1)?1]?[(?1)?1]??????1.?????????. ?????????????????

??????????.

1?????

??1 ???????un????????????+????????

u1?u2?u3???un?? ?1?

????????????????????un?????1????.

???1??????un???un.

n?1?

2??????

Sn??uk?u1?u2???un??????un??n??????????.

k?1n?1n?

3 ??????

??2??????un???????Sn????S??limSn?S???????

n?1n???

??un?? ??S??????un?????

n?1n?1??

S??un=u1?u2?u3???un??.

n?1?

???????Sn???????????un??.

n?1?

?1 ?????????????

?aqn?1?a?aq?aq2???aqn?1???(a?0)

n?1?

????.

???P2.

?2 ???? 1111??????? 1?22?33?4n(n?1)

????.

???P2.

? ???????

1 ????????

?????un??????????????Sn????????????????

n?1?

??un????Sn????????.???????????an??????????? n?1?

?u

n?1?n?a1?(a2?a1)?(a3?a2)???(an?an?1)??

????????????an????a1?(a2?a1)?(a3?a2)???(an?an?1)??????????????

2 ???????

??1??????Cauchy??? ???1????????????????????

??N????m?N?????????p??? um?1?um?2???um?p??.

?????1???????????????0?0???????N??????? m0(?N),p0??um0?1?um0?2???um0?p0??0.

3?????????

?? ?????? ????1?????

limun?. n??

??????????????????????3.

?3 ??????1?

????.

1?0???? p?m??? n??n??n

1111?????um?1?um?2?um?3???u2m? m?1m?2m?32m

11111??????. ?2m2m2m2m2

1?????0????????N???m?N?p?m?? 2111?????? 23n?????? limun?lim

um0?1?um0?2???um0?p0??0?

???????.

?4 ??????????????? ?

????? um?1?um?2???um?p=111 ????(m?1)2(m?2)2(m?p)21??. n2

?111111???????. m(m?1)(m?1)(m?2)m?p?1)(m?p)mm?pm

1?????0??N?[]???m?N???????p??? ?

1um?1?um?2???um?p???. m

??? ?1??. n2

4 ???????

??2 ????un??vn???????????c,d????(cun?dvn)????

n?1n?1n?1???

? ?(cun?dvn)?c?un?d?vn.

n?1n?1n?1???

???????????????????.

??3 ?????????????????????????.

????????????????????????????.

????un???????S???? un?1?un?2?? ????????

n?1?

???????????Sn??S??????Rn?S?Sn.??????un??n???

n?1?

?.

??4????????????????????????????????. ???????????????????????????????????????.

??(1?1)?(1?1)???(1?1)???0?0???0?????

??? 1?1?1?1??????.

?? P51?2?3?4?5?6?7.

????????? (?????)???? ????

???? ????

?????1.???????????????????2.??????????????????????????????3.????????????????????????????????????

????????????????????????????????????????????????

?????18??

1 ??????

?? ?? ?

1??? ??? ????? ; ?? ( ??? , ? ? ), ? ?

?????? ( ?????????? ). ??????

. 2. ???????? : ????????, ?????????

? . ???????????????? , ???????????????????? .

?1 ??????

????.???????????

?

?, .???? ;

?, ???? ;

?,,

,???? ;

?, , ,???? .

??, ????

0?? ). ????

???, ???

( ?? ?

?2 ????

????.

????????????

?3 ????

????.

??

,

,

=

, .

, .

??, ?????.

?4????

?

????. , . ????.

3. ???????? :

???????{

}, ?? {

}??;

?????{

??,??{

}, ????

, ????, ?

??. =

.}????

?? , ????????????????? .

4.?????????? :

, ??

. ????????? ;

?????, ????

, ??? =

. ??????????.

???? , ??????????? , ??????????? . ????????????? .

?.????????? Cauchy?? ???????{

}???Cauchy?????????? ? ????????Cauchy?? . Th( Cauchy?? )

. ??

?

N,

??????, ????????? ( ?????? ) ?????? , ?????????? . ????? , ??????? . ???

??????

?.

?( ????????? ) ??

.

?5 ??

??

?? .

???????????? . ?

, ??

??

??Cauchy????????? |

???????? ???

|????????? ???

.?6????

( ??

????. .????????????????????? )

?7 ( ??????? ) ??????

?? .

??? ( ?Cauchy????????? )

???

??{

}??. ?????????

. ??

?

.

?? ??????????? ????? ?

??1 ??? Const

????

=

( ????????? )

??

2 ?

?? ?

??, ??

=

?

. ??

: ?

??????????.

?? , ?????????????? ,???? .

( ????????? ) ??3 ???

?8????

??????????? ? ?????????????????? .

2????

?.??????????? :

1. ???? :

2. ???? :

Th 1 ?

??, ?. ???

, ??

. ??

??; ???????????..( ? )

?????????? .

3. ??????????? :

Th 2?

?

?> < ,

< ;?

??????? , ?

??

,

= ?> = ,

.( ?> ??>????? )


?????(??)??-?????-???????????????
?????http://www.850500.com/news/20074.html
?????,??!
您需要登录后才可以回帖 登录 | 立即注册

本版积分规则

Archiver|手机版|小黑屋|Discuz! X

GMT+8, 2026-3-12 08:42 , Processed in 0.397554 second(s), 19 queries .

Powered by Discuz! X3.5

© 2001-2025 Discuz! Team.

快速回复 返回顶部 返回列表