. = .

. y = f (x) [a, b]. i[xi, xi+1], xi = xi+1 xi , [xi, xi+1], f ( i) xi.

. xy D, z , z= f (x, y)0, . . xy . = . 1.V.

(i)D n D1, D2,, Dn , Di .z = f (x,y)z = f (x,y)DiDi

(ii)Di, z = f (x,y), . ( i , i) Di . = f ( i , i). i = Di. = f ( i , i) i

(iii), , V, "", V.

(iv) DiDi. ( i , i) Di , i = Di .

1. 2. 3. 4.

Dn

i

_995267767.unknown

_1073851042.unknown

_1073851382.unknown

_1073851668.unknown

_1073851808.unknown

_1073851843.unknown

_1073851896.unknown

_1073892835.unknown

_1073893281.unknown

_1073851874.unknown

_1073851832.unknown

_1073851751.unknown

_1073851795.unknown

_1073851677.unknown

_1073851622.unknown

_1073851662.unknown

_1073851415.unknown

_1073851110.unknown

_1073851367.unknown

_1073851379.unknown

_1073851357.unknown

_1073851056.unknown

_1073851087.unknown

_1073851048.unknown

_1006672621.unknown

_1073850841.unknown

_1073850870.unknown

_1073850904.unknown

_1073850847.unknown

_1007745603.unknown

_1073850832.unknown

_1007745584.unknown

_995267846.unknown

_995267898.unknown

_1006672591.unknown

_995267870.unknown

_995267802.unknown

_995267822.unknown

_995267782.unknown

_981466377.unknown

_995267725.unknown

_995267744.unknown

_995267752.unknown

_995267733.unknown

_981466481.unknown

_981466712.unknown

_981466464.unknown

_981466103.unknown

_981466174.unknown

_981466201.unknown

_981466141.unknown

_981465976.unknown

_981466056.unknown

_981465821.unknown

EMBED Equation.3 .

_995267767.unknown

_1073851042.unknown

_1073851382.unknown

_1073851668.unknown

_1073851808.unknown

_1073851843.unknown

_1073851896.unknown

_1073892686.unknown

_1073851874.unknown

_1073851832.unknown

_1073851751.unknown

_1073851795.unknown

_1073851677.unknown

_1073851622.unknown

_1073851662.unknown

_1073851415.unknown

_1073851110.unknown

_1073851367.unknown

_1073851379.unknown

_1073851357.unknown

_1073851056.unknown

_1073851087.unknown

_1073851048.unknown

_1006672621.unknown

_1073850841.unknown

_1073850870.unknown

_1073850904.unknown

_1073850847.unknown

_1007745603.unknown

_1073850832.unknown

_1007745584.unknown

_995267846.unknown

_995267898.unknown

_1006672591.unknown

_995267870.unknown

_995267802.unknown

_995267822.unknown

_995267782.unknown

_981466377.unknown

_995267725.unknown

_995267744.unknown

_995267752.unknown

_995267733.unknown

_981466481.unknown

_981466712.unknown

_981466464.unknown

_981466103.unknown

_981466174.unknown

_981466201.unknown

_981466141.unknown

_981465976.unknown

_981466056.unknown

_981465821.unknown

_994914591.unknown

_1073850292.unknown

_1073850343.unknown

_1073850405.unknown

_1073850406.unknown

_1073850300.unknown

_994914651.unknown

_1073850279.unknown

_994914619.unknown

_994914531.unknown

_994914553.unknown

_994914469.unknown

D

Dn

i

EMBED Equation.3

_995267767.unknown

_1073851042.unknown

_1073851382.unknown

_1073851668.unknown

_1073851808.unknown

_1073851843.unknown

_1073851874.unknown

_1073851896.unknown

_1073851832.unknown

_1073851751.unknown

_1073851795.unknown

_1073851677.unknown

_1073851622.unknown

_1073851662.unknown

_1073851415.unknown

_1073851110.unknown

_1073851367.unknown

_1073851379.unknown

_1073851357.unknown

_1073851056.unknown

_1073851087.unknown

_1073851048.unknown

_1006672621.unknown

_1073850841.unknown

_1073850870.unknown

_1073850904.unknown

_1073850847.unknown

_1007745603.unknown

_1073850832.unknown

_1007745584.unknown

_995267846.unknown

_995267898.unknown

_1006672591.unknown

_995267870.unknown

_995267802.unknown

_995267822.unknown

_995267782.unknown

_981466377.unknown

_995267725.unknown

_995267744.unknown

_995267752.unknown

_995267733.unknown

_981466481.unknown

_981466712.unknown

_981466464.unknown

_981466103.unknown

_981466174.unknown

_981466201.unknown

_981466141.unknown

_981465976.unknown

_981466056.unknown

_981465821.unknown

D

EMBED Equation.3 .

_1073851973.unknown

_1073852047.unknown

_1073852058.unknown

_1073851995.unknown

_1073851964.unknown

------

(1) .

(3)

.

_995269144.unknown

_1073894597.unknown

_985009042.unknown

(2)

D

_1073895157.unknown

D

k

D

D

D

_984556957.unknown

_995287890.unknown

_995287912.unknown

_1073897678.unknown

_1073897696.unknown

_1073897750.unknown

_1073897657.unknown

_995287902.unknown

_995287871.unknown

_995287881.unknown

_984557110.unknown

_984556925.unknown

_984556938.unknown

_984556318.unknown

_984557745.unknown

_995288485.unknown

_1007745893.unknown

_1073897893.unknown

_1073897916.unknown

_1073897952.unknown

_1073897903.unknown

_1073897883.unknown

_1007745876.unknown

_995288464.unknown

_995288474.unknown

_995288453.unknown

_984557295.unknown

_984557729.unknown

_984556318.unknown

6

1

.

.

_995288812.unknown

_1009792357.unknown

_1009792370.unknown

_1073897982.unknown

_1073897998.unknown

_1073898086.unknown

_1073897971.unknown

_1009792362.unknown

_995288831.unknown

_1007745995.unknown

_995288821.unknown

_985068926.unknown

_985069000.unknown

_985068840.unknown

,

_1007745967.unknown

_1073905699.unknown

_995288943.unknown

D

,

_1020697615.unknown

_1073905641.unknown

_995288980.unknown

.

: ;

XX y .

X--- y x

Y--- x y

1. D x, y. , , .

2.1

2 f (x, y) = f1(x)f2(y),

Da x b, c y d. f (x, y) = f1(x)f2(y)

.3.

4.D: y1(x) y y2(x), a x b, x .y2(x). y2(x), . DD1, D2, .

1 D D Y

2

D D X

3

,

:

.

_1120117857.unknown

_1120117923.unknown

_1120117936.unknown

_1120117956.unknown

_1120117866.unknown

_1120117838.unknown

_1120117846.unknown

_1120117832.unknown

().

(

),

,

[0,1]

_1096910984.unknown

_1098951686.unknown

_1120118081.unknown

_1120118113.unknown

_1120118130.unknown

_1120118149.unknown

_1120118099.unknown

_1120118066.unknown

_1120118071.unknown

_1120118058.unknown

_1098951538.unknown

_1098951595.unknown

_1096910965.unknown

_1096910972.unknown

_1096910978.unknown

_1096910971.unknown

_1096910909.unknown

_1096910923.unknown

_1096910900.unknown

.

_1096911126.unknown

_1120118742.unknown

4

.

_1073990176.unknown

5

.

_1073995709.unknown

.

_995217218.unknown

_1073997474.unknown

_985501945.unknown

6

.

_1073997689.unknown

_1073997690.unknown

_1073997691.unknown

_1073997688.unknown

7

,

.

_1120119454.unknown

_1120119462.unknown

_1120119469.unknown

_1120119448.unknown

().

,

,

_1096911406.unknown

_1120119672.unknown

_1120119681.unknown

_1120119703.unknown

_1120119663.unknown

_1096911385.unknown

_1096911394.unknown

_1096911376.unknown

=

=

.

_1098951801.unknown

_1120119851.unknown

_1120119865.unknown

_1120119997.unknown

_1120119857.unknown

_1120119821.unknown

_1098951771.unknown

_1098951780.unknown

_1096911594.unknown

8

D

.

_1073998349.unknown

_1073998376.unknown

_1073998328.unknown

_995219960.unknown

_1073998501.unknown

_985518201.unknown

_995220033.unknown

9. .D.D y x 1, 0 y 1 x=y x=1y=0, y=1. =

89

1.

2. x .

2.

, y , ?

3.

1

1D 2D

2D 3D

3D 4D

4D

2

.

_995174332.unknown

_995174344.unknown

_1074014608.unknown

_1074014616.unknown

_1074014565.unknown

_995174337.unknown

_985674263.unknown

_985674292.unknown

_985674089.unknown

,

_995174808.unknown

_1074014881.unknown

,

_995174832.unknown

_1074014935.unknown

3

D

.

_985676504.unknown

_1074015096.unknown

_1074015114.unknown

_995193478.unknown

_985676354.unknown

D

.

_995193598.unknown

_1074015277.unknown

_1074015287.unknown

_1020698549.unknown

_995193597.unknown

4. Dx2+y2 1, Dx2+y2x=rcos, y=rsin, x2+y2 1r = 1.(2)D*: 0 r 1, 0 2

5

D

.

_1074015938.unknown

_1074015994.unknown

_1074016009.unknown

_1074015939.unknown

_1074015937.unknown

6

:

.

_1096913038.unknown

_1120132117.unknown

_1120132137.unknown

_1120132146.unknown

_1120132152.unknown

_1120132132.unknown

_1098963147.unknown

_1096912977.unknown

_1096913003.unknown

_1096912948.unknown

(),

_1096913056.unknown

_1120132275.unknown

_1120132280.unknown

_1096913049.unknown

,

,

_1096913173.unknown

_1120132403.unknown

_1120132425.unknown

_1120132428.unknown

_1120313674.unknown

_1120132409.unknown

_1096913213.unknown

_1120132381.unknown

_1096913189.unknown

_1096913136.unknown

_1096913163.unknown

_1096913111.unknown

EMBED Equation.3 .

_1098963198.unknown

_1120135146.unknown

_1120135275.unknown

_1120198788.unknown

_1120135260.unknown

_1120135140.unknown

_1098963196.unknown

7

,

.

_1098963332.unknown

_1120135532.unknown

_1120135538.unknown

_1120135545.unknown

_1120135526.unknown

_1082033090.unknown

_1096913484.unknown

_1082033068.unknown

(),

,

EMBED Equation.3

=

.

_1098963357.unknown

_1120135672.unknown

_1120135720.unknown

_1120135758.unknown

_1120135796.unknown

_1120135891.unknown

_1120198869.unknown

_1120135770.unknown

_1120135736.unknown

_1120135694.unknown

_1120135706.unknown

_1120135682.unknown

_1098963426.unknown

_1120135666.unknown

_1098963413.unknown

_1096913555.unknown

_1096913583.unknown

_1096913598.unknown

_1096913573.unknown

_1096913517.unknown

_1096913547.unknown

_1096913497.unknown

5

D

1 xoy V1 V = 4V1

2

_1074088339.unknown

_1074088405.unknown

_1074088435.unknown

_1074088436.unknown

_1074088386.unknown

_1074088332.unknown

x

_1074088650.unknown

_1074088670.unknown

_1074088623.unknown

DA

_994916257.unknown

_1020700608.unknown

_1074088930.unknown

_1074088945.unknown

_1020700603.unknown

_902997739.unknown

_994916251.unknown

_902997701.unknown

_994916333.unknown

_1020700634.unknown

_1074089065.unknown

_1007903859.unknown

_902997775.unknown

_994916534.unknown

_1020700690.unknown

_1074089131.unknown

_903006054.unknown

,

_1020700698.unknown

_1074089160.unknown

_994916554.unknown

.

_1020700723.unknown

_1074089246.unknown

_994916607.unknown

_1020700677.unknown

_1074089075.unknown

_994916366.unknown

.

S: 0 y R, 0 x R