4-1
ﺔﻟﺩﺎﻌﳌﺍ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ 4 ﻞﺼﻔﻟﺍ
. EQUA ﻊﺿﻮﻟﺍ ﻞﺧﺩﺃ ،ﺔﻴﺴﻴﺋﺮﻟﺍ ﺔﻤﺋﺎﻘﻟﺍ ﻦﻣ
{ﺔﻟﻮﻬﺠﻣ 6 ﻰﻟﺇ 2 ﻊﻣ ﺔﻴﻄﺧ ﺔﻟﺩﺎﻌﻣ} ... { SIML } •
{6
ﻰﻟﺇ 2 ﺔﺟﺭﺪﻟﺍ ﺔﻟﺩﺎﻌﻣ} ... { POLY } •
{
ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﻞﺣ} ... { SOLV } •
ﺔﻨﻣﺍﺰﺘﳌﺍ ﺔﻴﻄﳋﺍ ﺕﻻﺩﺎﻌﳌﺍ . 1
.ﺕﻻﻮﻬﺠﻣ ﺔﺘﺳ ﻰﻟﺇ ﲔﻨﺛﺍ ﻊﻣ ﺔﻨﻣﺍﺰﺘﳌﺍ ﺔﻴﻄﳋﺍ ﺕﻻﺩﺎﻌﳌﺍ ﻞﺣ ﻚﻨﻜﳝ
:ﲔﻟﻮﻬﺠﻣ ﻊﻣ ﺔﻨﻣﺍﺰﺘﳌﺍ ﺔﻴﻄﳋﺍ ﺔﻟﺩﺎﻌﳌﺍ
•
a
1
x
+ b
1
y
= c
1
a
2
x
+ b
2
y
= c
2
:ﺕﻻﻮﻬﺠﻣ ﺔﺛﻼﺛ ﻊﻣ ﺔﻨﻣﺍﺰﺘﳌﺍ ﺔﻴﻄﳋﺍ ﺔﻟﺩﺎﻌﳌﺍ •
a
1
x
+ b
1
y
+ c
1
z
= d
1
a
2
x
+ b
2
y
+ c
2
z
= d
2
a
3
x
+ b
3
y
+ c
3
z
= d
3
…
.
EQUA ﻊﺿﻮﻟﺍ ﻞﺧﺩﺃ ،ﺔﻴﺴﻴﺋﺮﻟﺍ ﺔﻤﺋﺎﻘﻟﺍ ﻦﻣ . 1
.
(ﺕﺍﺮﻴﻐﺘﳌﺍ) ﺕﻻﻮﻬﺍ ﺩﺪﻋ ﺩﺪﺣ ﻭ ، (ﻦﻣﺍﺮﺘﳌﺍ) SIML ﻊﺿﻮﻟﺍ ﺮﺘﺧﺍ . 2
.ﺕﻻﻮﻬﺠﻣ 6 ﻰﻟﺇ 2 ﻦﻣ ﺪﻳﺪﲢ ﻚﻨﻜﳝ
.ﻞﺴﻠﺴﺘﻟﺎﺑ ﺕﻼﻣﺎﻌﳌﺍ ﻞﺧﺩﺃ .
3
:ﻞﺴﻠﺴﺗ ﻲﻓ ﻞﻴﻠﻈﺘﻟﺍ ﻞﻘﺘﻨﻳ ،ﺔﻠﻣﺎﻌﻣ ﻞﺧﺪﺗ ﺓﺮﻣ ﻞﻛ . ﻝﺎﺧﺩﻼﻟ
ﹰ
ﺎﻴﻟﺎﺣ ﺓﺭﺎﺘﺍ ﺔﻴﻠﳋﺍ ﻞﻴﻠﻈﺗ ﰎ
•
a
1
→ b
1
→ c
1
→ … a n → b n → c n → ( n = 2 to 6)
.ﺕﻼﻣﺎﻌﻤﻛ ﺕﺍﺮﻴﻐﺘﻤﻠﻟ ﺔﻨﻴﻌﳌﺍ ﻢﻴﻘﻟﺍﻭ ﺭﻮﺴﻜﻟﺍ ﻝﺎﺧﺩﺇ
ﹰ
ﺎﻀﻳﺃ ﻚﻨﻜﳝ •
ﻂﻐﻀﻟﺍ ﻞﺒﻗ ﺖﻗﻭ ﻱﺍ ﻲﻓ
J ﻰﻠﻋ ﻂﻐﻀﻟﺎﺑ ﺔﻴﻟﺎﳊﺍ ﺔﻠﻣﺎﻌﻤﻠﻟ ﺎﻬﻟﺎﺧﺩﺈﺑ ﻡﻮﻘﺗ ﻲﺘﻟﺍ ﺔﻤﻴﻘﻟﺍ ﺀﺎﻐﻟﺇ ﻚﻨﻜﳝ •
ﺔﻳﺃ ﻝﺎﺧﺩﺇ ﻞﺒﻗ ﻪﻴﻠﻋ ﺖﻧﺎﻛ ﺎﻣ ﻰﻟﺇ ﺔﻠﻣﺎﻌﳌﺎﺑ ﺓﺩﻮﻌﻟﺍ ﻰﻠﻋ ﻚﻟﺫ ﻞﻤﻌﻳ .ﺔﻠﻣﺎﻌﳌﺍ ﺔﻤﻴﻗ ﻦﻳﺰﺨﺘﻟ w ﻰﻠﻋ
.ﺕﺩﺭﺃ ﺍﺫﺇ ﻯﺮﺧﺃ ﺔﻤﻴﻗ ﻝﺎﺧﺩﺇ ﻚﻨﻜﳝ ﻢﺛ ﻦﻣﻭ .ﺀﻲﺷ
ﺪﻳﺮﺗ ﻱﺬﻟﺍ ﺔﻠﻣﺎﻌﳌﺍ ﻰﻟﺇ ﺮﺷﺆﳌﺍ ﻙﺮﺣ ،
w ﻰﻠﻋ ﻂﻐﻀﻟﺎﺑ ﻢﻗ ﺎﻬﻨﻳﺰﺨﺘﺑ ﺖﻤﻗ ﻲﺘﻟﺍ ﺔﻠﻣﺎﻌﳌﺍ ﺔﻤﻴﻗ ﺮﻴﻴﻐﺘﻟ •
.ﺎﻬﻴﻟﺇ ﺮﻴﻴﻐﺘﻟﺍ ﺪﻳﺮﺗ ﻲﺘﻟﺍ ﺔﻤﻴﻘﻟﺍ ﻞﺧﺩﺃ ﻢﺛ .ﺎﻬﻠﻳﺪﻌﺗ
.ﺮﻔﺼﻟﺍ ﻰﻟﺇ ﺕﻼﻣﺎﻌﳌﺍ ﻊﻴﻤﺟ ﺪﻴﻌﺑ
3 (CLR) ﻰﻠﻋ ﻂﻐﻀﻟﺎﺑ •
.ﺕﻻﺩﺎﻌﳌﺍ ﻞﺣ .4
z ﻭ y ﻭ x ﻝ ﺔﻴﻟﺎﺘﻟﺍ ﺔﻨﻣﺍﺰﺘﳌﺍ ﺔﻴﻄﳋﺍ ﺕﻻﺩﺎﻌﳌﺍ ﻞﳊ ﻝﺎﺜﳌﺍ
4 x + y – 2 z = – 1
x + 6 y + 3 z = 1
– 5
x + 4 y + z = – 7
4
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