ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
Introduction to Matlab Programming
اﻋﺪاد د/ﺧﺎﻟﺪ ﻋﺒﺪاﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
رﺋﻴﺲ ﻗﺴﻢ هﻨﺪﺳﺔ اﻟﺤﺎﺳﺐ اﻵﻟﻲ
آﻠﻴﺔ اﻟﺤﺎﺳﺐ اﻵﻟﻲ وﻧﻈﻢ اﻟﻤﻌﻠﻮﻣﺎت
ﺟﺎﻣﻌﺔ أم اﻟﻘﺮى ﺑﻤﻜﺔ اﻟﻤﻜﺮﻣﺔ
ﺟﻤﻴﻊ اﻟﺤﻘﻮق ﻣﺤﻔﻮﻇﺔ © 2007
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ ﻣﻌﻠﻮﻣﺎت اﻟﻔﺼﻞ اﻷول )اﻟﻤﻘﺪﻣﺔ(
)Information in Chapter 1 (Introduction
ﻣﺆﺳﺴﻮ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
آﻠﻴﻒ ﻣﻮﻟﺮ)(Cleve Moler
هﻮ أﺳﺘﺎذ اﻟﺮﻳﺎﺿﻴﺎت وﻋﻠﻮم اﻟﺤﺎﺳﺐ ﻷآﺜﺮ ﻣﻦ ﻋﺸﺮﻳﻦ ﻋﺎﻣًﺎ ﻓﻲ ﺟﺎﻣﻌﺔ ﻣﺘﺸﻴﺠﻴﻦ وﺟﺎﻣﻌﺔ ﺳﺘﺎﻧﻔﻮرد وﺟﺎﻣﻌﺔ ﻧﻴﻮﻣﻜﺴﻴﻜﻮ ،
وﻗﺪ أﻣﻀﻰ ﺧﻤﺲ ﺳﻨﻮات ﻋﻨﺪ اﺛﻨﻴﻦ ﻣﻦ ﻣﺼﻨﻌﻲ اﻟــ Hardwareوهﻤﺎ Intel Hypercube organizationو Ardentﻗﺒﻞ أن
ﻳﻘﻮم ﺑﺎﻻﻧﺘﻘﺎل إﻟﻰ ﺷﺮآﺔ Mathworksاﻟﺸﺮآﺔ اﻷم ﻟﺒﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب ،آﻤﺎ أﻧﻪ هﻮ اﻟﻤﺆﻟﻒ ﻷول ﺑﺮﻧﺎﻣﺞ ﻟﻠﻤﺎﺗﻼب .
ﺟﺎك ﻟﻴﻞ )(jack little
هﻮ اﻟﻤﺆﺳﺲ ﻟﺸﺮآﺔ Mathworksآﻤﺎ أﻧﻪ اﻟﻤﺴﺎﻋﺪ ﻓﻲ وﺿﻊ ﺗﺨﻄﻴﻂ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب ،وهﻮ ﺣﺎﺻﻞ ﻋﻠﻰ ﺑﻜﺎﻟﻮرﻳﻮس
اﻟﻬﻨﺪﺳﺔ اﻟﻜﻬﺮﺑﻴﺔ وﻋﻠﻮم اﻟﺤﺎﺳﺐ ﻣﻦ ﺟﺎﻣﻌﺔ MITﻋﺎم ، 1978آﻤﺎ أﻧﻪ ﺣﺼﻞ ﻋﻠﻰ ﺷﻬﺎدة M.S.E.Eﻣﻦ ﺟﺎﻣﻌﺔ ﺳﺘﺎﻧﻔﻮرد ﻋﺎم
. 1980
ﺗﺎرﻳﺦ اﻟﻤﺎﺗﻼب
ﻓﻲ ﻣﻨﺘﺼﻒ اﻟﺴﺒﻌﻴﻨﺎت ﻋﺎم ، 1970ﻗﺎم آﻠﻴﻒ ﻣﻮﻟﺮ واﻟﺬي آﺎن رﺋﻴﺴﺎ ﻟﻘﺴﻢ ﻋﻠﻮم اﻟﺤﺎﺳﺐ ﻓﻲ ﺟﺎﻣﻌﺔ ﻧﻴﻮﻣﻜﺴﻴﻜﻮ وﻋﺪد ﻣﻦ
زﻣﻼﺋﻪ ﺑﺘﻄﻮﻳﺮ ﻣﻜﺘﺒﺎت اﻟﻔﻮرﺗﺮان واﻟﺘﻲ آﺎﻧﺖ ﺗﺪﻋﻰ EISPACKو LINPACKﺗﺤﺖ ﻣﻨﺤﺔ ﻣﻦ اﻟﻤﺆﺳﺴﺔ اﻟﻘﻮﻣﻴﺔ ﻟﻠﻌﻠﻮم.
LINPACKو EISPACKهﻤﺎ اﻟﻠﺒﻨﺔ اﻟﺒﺮﻣﺠﻴﺔ اﻷﺳﺎﺳﻴﺔ ﻓﻲ ﺑﺮﻣﺠﻴﺎت ﺣﺴﺎﺑﺎت اﻟﻤﺼﻔﻮﻓﺎت .
ﺑﺪأ آﻠﻴﻒ ﺑﻜﺘﺎﺑﺔ ﺑﺮﻧﺎﻣﺞ ﻟﻠﻮﺻﻮل إﻟﻰ EISPACKو LINPACKﺑﻜﻞ ﺑﺴﺎﻃﺔ وﺳﻤﻲ ﺑﺮﻧﺎﻣﺠﻪ MATLABواﻟﺘﻲ ﺗﻌﻨﻲ
) (Matrix Laboratoryأي ﻣﺨﺘﺒﺮ اﻟﻤﺼﻔﻮﻓﺔ .
اﻧﺘﺸﺮ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب ﻟﻠﺠﺎﻣﻌﺎت اﻷﺧﺮى ووﺟﺪ هﺬا اﻟﺒﺮﻧﺎﻣﺞ ﺟﻤﻬﻮر ﻗﻮي ﻣﻦ ﻗﺒﻞ اﻟﻤﺨﺘﺼﻴﻦ ﺑﺎﻟﺮﻳﺎﺿﻴﺎت اﻟﺘﻄﺒﻴﻘﻴﺔ .
ﻓﻲ ﻋﺎم ُ 1983
ﻋﺮض ﻋﻠﻰ اﻟﻤﻬﻨﺪس ﺟﻮن ﻟﻴﺘﻞ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب أﺛﻨﺎء زﻳﺎرة ﻣﻮﻟﺮ ﻟﺠﺎﻣﻌﺔ ﺳﺘﺎﻧﻔﻮرد ،وﺑﻌﺪ ذﻟﻚ اﻧﻈﻢ ﻟﻴﺘﻞ إﻟﻰ
ﻣﻮﻟﺮ وﺳﺘﻴﻒ ﺑﺎﻧﺠﺮت وأﻋﻴﺪت آﺘﺎﺑﺔ اﻟﻤﺎﺗﻼب ﺑﻠﻐﺔ اﻟﺴﻲ .
أﺳﺴﺖ ﻓﻲ ﻋﺎم 1984ﺷﺮآﺔ Mathworksﻟﻤﻮاﺻﻠﺔ ﺗﻄﻮﻳﺮ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب .
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
1
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﺗﺎﺑﻊ ﻣﻠﺨﺺ ﻣﻌﻠﻮﻣﺎت اﻟﻔﺼﻞ اﻷول )اﻟﻤﻘﺪﻣﺔ(
)Information in Chapter 1 (Introduction
ﺗﻌﺮﻳﻒ اﻟﻤﺎﺗﻼب
اﻟﻤﺎﺗﻼب هﻲ ﻟﻐﺔ ذات ﻣﺴﺘﻮى ﻋﺎﻟﻲ ﻟﻠﺤﺴﺎﺑﺎت واﻟﺒﺮﻣﺠﺔ وﺗﻤﺘﺎز ﺑﻮﺟﻮد ﺑﺮاﻣﺞ ﺗﺴﻬﻞ ﻋﻤﻠﻴﺔ اﻟﺘﻌﺎﻣﻞ ﻣﻊ هﺬﻩ اﻟﻠﻐﺔ ،وﺗﺸﻤﻞ
اﻟﺒﺮاﻣﺞ ﻋﻠﻰ :
oاﻟﺤﺴﺎﺑﺎت اﻟﺮﻳﺎﺿﻴﺔ
oﺗﻄﻮﻳﺮ اﻟﺨﻮارزﻣﻴﺎت
oﻣﻌﺎﻟﺠﺔ اﻟﺒﻴﺎﻧﺎت
oاﻟﻨﻤﺬﺟﺔ واﻟﻤﺤﺎآﺎة وﺗﺼﻤﻴﻢ اﻟﻤﺨﻄﻄﺎت اﻷوﻟﻴﺔ ﻟﻠﻤﺸﺎرﻳﻊ
oﺗﺤﻠﻴﻞ اﻟﺒﻴﺎﻧﺎت وﻋﺮﺿﻬﺎ
oﻋﻤﻞ اﻟﺮﺳﻮﻣﺎت اﻟﻬﻨﺪﺳﻴﺔ واﻟﻌﻠﻤﻴﺔ
oﺗﻄﻮﻳﺮ اﻟﺘﻄﺒﻴﻘﺎت ﺿﻤﻦ واﺟﻬﺎت ﻣﻦ ﻧﻮع )(GUI
وﻳﻌﺘﻤﺪ اﻟﻤﺎﺗﻼب ﻋﻠﻰ ﺗﻨﺴﻴﻖ اﻟﺒﻴﺎﻧﺎت ﻓﻲ ﺻﻮرة ﻣﺼﻔﻮﻓﺎت وﻳﻜﻮن اﻟﺒﺮﻧﺎﻣﺞ ﻣﺜﻞ أﻏﻠﺐ ﻟﻐﺎت اﻟﺒﺮﻣﺠﺔ .
ﻳﺸﻤﻞ اﻟﻤﺎﺗﻼب ﻋﻠﻰ ﻣﺠﻤﻮﻋﺔ ﻣﻦ اﻟﺒﺮاﻣﺞ واﻟﺘﻲ ﺗﺪﻋﻰ ) (toolboxﻣﻤﺎ ﻳﺘﻴﺢ ﻟﻚ اﻟﺘﻌﺎﻣﻞ ﻣﻊ اﻟﺘﻄﺒﻴﻘﺎت اﻟﻤﺘﺨﺼﺼﺔ وهﺬﻩ
اﻷدوات ﻋﺒﺎرة ﻋﻦ ﺑﺮاﻣﺞ ﻓﻲ ﺻﻮرة ). (M-files
ﺗﻄﺒﻴﻘﺎت اﻟﻤﺎﺗﻼب
ﻓﻲ اﻟﻤﺠﺎل اﻷآﺎدﻳﻤﻲ :
o
o
o
o
ﻋﻤﻞ اﻟﺘﻔﺎﺻﻴﻞ واﻟﺘﻜﺎﻣﻞ
ﺣﻞ اﻟﻤﻌﺎدﻻت اﻟﺠﺒﺮﻳﺔ )(Algebraic Equations
ﺣﻞ اﻟﻤﻌﺎدﻻت اﻟﺘﻔﺎﺿﻠﻴﺔ ذات اﻟﺮﺗﺐ اﻟﻌﻠﻴﺎ )(Differential Equations
ﻋﻤﻞ اﻟﺘﻔﺎﺿﻞ اﻟﺠﺰﺋﻲ ،وﻋﻤﻠﻴﺎت اﻟﻜﺴﺮ اﻟﺠﺰﺋﻲ )(Partial fraction
اﻟﻤﺠﺎﻻت اﻟﺘﻄﺒﻴﻘﻴﺔ :
o
o
o
o
o
o
أﻧﻈﻤﺔ اﻟﺘﺤﻜﻢ ﻓﻲ ﺟﻤﻴﻊ اﻟﻤﺠﺎﻻت اﻟﻬﻨﺪﺳﻴﺔ )(Control System
ﻣﻌﺎﻟﺠﺔ اﻟﺼﻮر
ﻣﺤﺎآﺎة اﻹﻟﻜﺘﺮوﻧﺎت
ﻣﺠﺎل ﺻﻨﺎﻋﺔ اﻟﺴﻴﺎرات
ﻣﺠﺎل اﻟﻄﻴﺮان واﻟﺪﻓﺎع اﻟﺠﻮي
ﻣﺠﺎل اﻟﺮوﺑﻮت
وهﻨﺎك اﻟﻜﺜﻴﺮ واﻟﻜﺜﻴﺮ ﻣﻦ اﻟﺘﻄﺒﻴﻘﺎت اﻟﻬﻨﺪﺳﻴﺔ .
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
2
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ ﻣﻌﻠﻮﻣﺎت اﻟﻔﺼﻞ اﻟﺜﺎﻧﻲ )واﺟﻬﺔ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب(
)Information in Chapter 2 (Matlab Desktop
واﺟﻬﺔ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب ﺗﻜﻮن ﻣﻦ:
oﻧﺎﻓﺬة اﻷواﻣﺮ )(Command Window
oﻣﻨﻄﻘﺔ اﻟﻌﻤﻞ )(Workspace
oﻧﺎﻓﺬة ﺗﺴﺠﻴﻞ اﻻواﻣﺮ )(Command History
ﺷﺮﻳﻂ اﻟﻘﻮاﺋﻢ وﺗﺘﻜﻮن ﻣﻦ:
o
o
o
o
o
o
ﻗﺎﺋﻤﺔ ﻣﻠﻒ )(File
ﻗﺎﺋﻤﺔ اﻟﺘﻌﺪﻳﻞ )(Edit
ﻗﺎﺋﻤﺔ )(Debug
ﻗﺎﺋﻤﺔ )(Desktop
ﻗﺎﺋﻤﺔ )(Window
ﻗﺎﺋﻤﺔ )(Help
ﻣﺤﺘﻮﻳﺎت ﻗﺎﺋﻤﺔ اﻟﻤﺴﺎﻋﺪة ):(Help
o
o
o
o
ﻗﺎﺋﻤﺔ اﻟﻤﺤﺘﻮﻳﺎت )(Contents
ﻗﺎﺋﻤﺔ اﻟﻔﻬﺮس )(Index
ﻗﺎﺋﻤﺔ اﻟﺒﺤﺚ )(Search
ﻗﺎﺋﻤﺔ )(Demos
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
3
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺜﺎﻟﺚ )اﻟﻤﺎﺗﻼب آﺂﻟﺔ ﺣﺎﺳﺒﺔ(
)Matlab Examples in Chapter 3 (Matlab as a Calculator
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
>>ِِ6+2
>>6-2
>>6*2
>>6/2
ﺑﻌﺾ اﻟﻌﻤﻠﻴﺎت اﻟﺮﻳﺎﺿﻴﺔ اﻟﺒﺴﻴﻄﺔ
Some math operations
اﺳﺘﺨﺪام اﻟﻤﺎﺗﻼب
آﺂﻟﺔ ﺣﺎﺳﺒﺔ
Operations on
Variables
اﻟﺪاﻟﺔ اﻷﺳﻴﺔ ﻟﻸﺳﺎس e
Exponential Function
اﻟﺪاﻟﺔ اﻟﻠﻮﻏﺎرﺗﻤﻴﺔ اﻟﻄﺒﻴﻌﻴﺔ
Natural Logarithm
اﻟﺠﺬر اﻟﺘﺮﺑﻴﻌﻲ
Square Root
اﻟﺪاﻟﺔ اﻟﻠﻮﻏﺎرﺗﻤﻴﺔ ﻟﻸﺳﺎس 10
Base 10 Logarithm
اﻟﻘﻴﻤﺔ اﻟﻤﻄﻠﻘﺔ
Absolute Value
اﻟﺪاﻟﺔ ) (sinﺑﺎﻟﺮادﻳﺎن
Sine Function in Radians
اﻟﺪاﻟﺔ ) (sinﺑﺎﻟﺪرﺟﺎت
Sine Function in Degrees
اﻟﺪاﻟﺔ ) (cosﺑﺎﻟﺮادﻳﺎن
)Cosine Function (Radians
داﻟﺔ ﻣﻌﻜﻮس )(tan
Tangent Inverse Function
اﻟﺪاﻟﺔ )(sec
Secant Function
اﻟﺪاﻟﺔ )(sinh
Hyperbolic Sine Function
ﺣﺴﺎب داﻟﺔ داﺧﻞ داﻟﺔ أﺧﺮى
Command Nesting
ﻣﻼﺣﻈﺎت
Notes
)>>exp(1
)>>log(1
)>>sqrt(36
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ اﻷﺳﻴﺔ ﻟﻸﺳﺎس )(e
ﻟﻠﻌﺪد )(1
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ اﻟﻠﻮﻏﺎرﺗﻤﻴﺔ اﻟﻄﺒﻴﻌﻴﺔ
ﻟﻠﻌﺪد )(1
ﺣﺴﺎب اﻟﺠﺬر اﻟﺘﺮﺑﻴﻌﻲ ﻟﻠﻌﺪد )(36
)>>log10(20
)>>abs(-100
ﺣﺴﺎب اﻟﻘﻴﻤﺔ اﻟﻤﻄﻠﻘﺔ ﻟﻠﻌﺪد )(-100
)>>sind(90
)>>cos(pi
)>>atan(pi
)>>sec(pi
)>>sinh(100
)))>>sin(abs(sqrt(90
اﻟﻤﻌﻠﻮﻣﺎت ﻋﻦ داﻟﺔ ﻣﻌﻴﻨﺔ
Information about a
Matlab Function
>>ِِhelp sqrt
>>ِِhelp sin
ﻣﻌﻠﻮﻣﺎت ﻣﻄﻮﻟﺔ ﻋﻦ داﻟﺔ ﻣﻌﻴﻨﺔ
Information about a
Matlab Function
>>doc sind
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
إﺟﺮاء ﺑﻌﺾ اﻟﻌﻤﻠﻴﺎت اﻟﺮﻳﺎﺿﻴﺔ
اﻟﺒﺴﻴﻄﺔ وهﻲ ﺑﺎﻟﺘﺮﺗﻴﺐ اﻟﺠﻤﻊ ﺛﻢ اﻟﻄﺮح
ﺛﻢ اﻟﻀﺮب ﺛﻢ اﻟﻘﺴﻤﺔ
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ اﻟﻠﻮﻏﺎرﺗﻤﻴﺔ ﻟﻸﺳﺎس
) (10ﻟﻠﻌﺪد )(20
)>>sin(pi/2
4
ﺷﺮح اﻟﻤﺜﺎل
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ ) (sinﻟﻠﻌﺪد )( π /2
ﺑﺎﻟﺮادﻳﺎن
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ ) (sinﻟﻠﻌﺪد )(90
ﺑﺎﻟﺪرﺟﺎت
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ ) (cosﻟﻠﻌﺪد ) ( π
ﺑﺎﻟﺮادﻳﺎن
ﺣﺴﺎب ﻗﻴﻤﺔ داﻟﺔ ﻣﻌﻜﻮس ) (tanﻟﻠﻌﺪد
)(100
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ ) (secﻟﻠﻌﺪد ) ( π
ﺣﺴﺎب ﻗﻴﻤﺔ اﻟﺪاﻟﺔ ) (sinhﻟﻠﻌﺪد )(100
ﻳﻤﻜﻦ ﻓﻲ اﻟﻤﺎﺗﻼب ﺣﺴﺎب اﻟﺪاﻟﺔ ﻟﺪاﻟﺔ
أﺧﺮى وهﻜﺬا ﻣﻊ ﺿﺮورة ﻣﺮاﻋﺎة ﻋﺪد
اﻷﻗﻮاس
ﻟﻠﺤﺼﻮل ﻋﻠﻰ ﻣﻌﻠﻮﻣﺎت ﻣﻔﺼﻠﺔ ﻋﻦ
داﻟﺔ اﻟﻤﺎﺗﻼب ) (sqrtوﻣﻦ ﺛﻢ ﻟﻠﺪاﻟﺔ
) ، (sinوﺗﺸﻤﻞ ﻣﻌﻠﻮﻣﺎت اﻟﺘﻌﺮﻳﻒ
وآﻴﻔﻴﺔ اﻻﺳﺘﺨﺪام وﻏﻴﺮ ذﻟﻚ
ﻟﻠﺤﺼﻮل ﻋﻠﻰ ﻣﻌﻠﻮﻣﺎت ﻣﻄﻮﻟﺔ ﻋﻦ
داﻟﺔ اﻟﻤﺎﺗﻼب ) (sindﻣﺜﻞ اﻟﺘﻌﺮﻳﻒ
وآﻴﻔﻴﺔ اﻻﺳﺘﺨﺪام وﻧﺤﻮﻩ
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﺟﺪول ﻟﺒﻌﺾ اﻟﺪوال اﻟﺮﻳﺎﺿﻴﺔ اﻟﻤﻌﺮﻓﺔ ﻓﻲ ﺑﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
Matlab Function
exp(x)
log(x)
log10(x)
sqrt(x)
Exponential and Logarithmic Functions
Definition
Mathematical Form
Exponential
ex
Natural logarithm
ln(x)
Common (base 10) logarithm
log(x)
Square root
x
Matlab Function
cos(x)
sin(x)
tan(x)
acos(x)
asin(x)
atan(x)
cot(x)
csc(x)
sec(x)
acot(x)
acsc(x)
asec(x)
atan2(y,x)
Trigonometric Functions
Definition
Cosine
Sine
Tangent
Inverse cosine
Inverse sine
Inverse tangent
Cotangent
Cosecant
Secant
Inverse cotangent
Inverse cosecant
Inverse secant
Four-quadrant inverse tangent.
Matlab Function
cosh(x)
sinh(x)
tanh(x)
acosh(x)
asinh(x)
atanh(x)
coth(x)
csch(x)
sech(x)
acoth(x)
acsch(x)
asech(x)
Hyperbolic Functions
Definition
Hyperbolic cosine
Hyperbolic sine
Hyperbolic tangent
Inverse hyperbolic cosine
Inverse hyperbolic sine
Inverse hyperbolic tangent
Hyperbolic cotangent
Hyperbolic cosecant
Hyperbolic secant
Inverse hyperbolic cotangent
Inverse hyperbolic cosecant
Inverse hyperbolic secant
Dr. Khalid A. Al-Hindi
5
Mathematical Form
cos(x)
sin(x)
tan(x)
cos–1(x)
sin–1(x)
tan–1(x)
cot(x)
csc(x)
sec(x)
cot–1(x)
csc–1(x)
sec–1(x)
Mathematical Form
cosh(x)
sinh(x)
tanh(x)
cosh–1(x)
sinh–1(x)
tanh–1(x)
coth(x)
csch(x)
sech(x)
coth–1(x)
csch–1(x)
sech–1(x)
ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي/اﻋﺪاد د
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺮاﺑﻊ )اﻟﻤﺘﻐﻴﺮات(
)Matlab Examples in Chapter 4 (Variables
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
إﻧﺸﺎء ﻣﺘﻐﻴﺮ
Defining a
Variable
اﻟﻌﻤﻠﻴﺎت ﻋﻠﻰ
اﻟﻤﺘﻐﻴﺮات
Operations on
Variables
اﻷﻋﺪاد اﻟﻤﺮآﺒﺔ
Complex
Numbers
أواﻣﺮ إﺿﺎﻓﻴﺔ
ﻟﺒﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
Extra Matlab
Commands
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
ﻃﺮﻳﻘﺔ اﻟﺘﻌﺮﻳﻒ
>>a=2
>>ِِb=10
ﻣﻼﺣﻈﺔ هﺎﻣﺔ
>>ِِA=3
إﻧﺸﺎء ﺛﻼث ﻣﺘﻐﻴﺮات
Defining three variables
أﻣﺜﻠﺔ ﻟﻌﻤﻠﻴﺎت رﻳﺎﺿﻴﺔ
Examples of Simple Math
Operations
;>>ِِA=6
;>>ِِB=2
;>>ِِC=3
>>A+B+C
>>(A*B)/C
>>A^2+B^2
>>(sin(A)+cos(B))/2
اﻟﻌﺪد اﻟﺘﺨﻴﻠﻲ i
The complex number i
>>i
إﻧﺸﺎء ﻣﺘﻐﻴﺮﻳﻦ ﻣﺮآﺒﻴﻦ
Defining two complex
numbers
>>ِِa=a+i
>>b=a+2i
ﺑﻌﺾ اﻟﻌﻤﻠﻴﺎت اﻟﺮﻳﺎﺿﻴﺔ ﻋﻠﻰ
اﻟﻤﺘﻐﻴﺮﻳﻦ اﻟﻤﺮآﺒﻴﻦ
Some math operations
>>ِِa+b
>>ِِa*b
>>ِِa/b
>>ِِa-b
إﻧﺸﺎء ﻣﺘﻐﻴﺮ ﻣﺮآﺐ
Defining a complex
number
اﻟﺠﺰء اﻟﺤﻘﻴﻘﻲ ﻟﻤﺘﻐﻴﺮ ﻣﺮآﺐ
Real part of a complex
number
اﻟﺠﺰء اﻟﺘﺨﻴﻠﻲ ﻟﻤﺘﻐﻴﺮ ﻣﺮآﺐ
Imaginary part of a
complex number
زاوﻳﺔ اﻟﻄﻮر ﻟﻤﺘﻐﻴﺮ ﻣﺮآﺐ
Phase angle of a complex
number in radians
اﻟﻘﻴﻤﺔ اﻟﻤﻄﻠﻘﺔ ﻟﻤﺘﻐﻴﺮ ﻣﺮآﺐ
Absolute value of a
complex number
ﻋﺮض اﻟﻤﺘﻐﻴﺮات اﻟﻤﺴﺘﺨﺪﻣﺔ
Display Variables
ﻋﺮض ﻣﻔﺼﻞ ﻟﻠﻤﺘﻐﻴﺮات
اﻟﻤﺴﺘﺨﺪﻣﺔ
Display Variables with
Information
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
>>ِِz=3+4i
ﻹﻧﺸﺎء ﺛﻼث ﻣﺘﻐﻴﺮات ﻣﻊ ﻋﺪم إﻇﻬﺎرهﻢ
ﻋﻠﻰ اﻟﺸﺎﺷﺔ ﺑﺎﺳﺘﺨﺪام اﻷﻣﺮ );(
اﻟﻤﺜﺎل اﻷول ﻟﻠﻌﻤﻠﻴﺎت ﻋﻠﻰ اﻟﻤﺘﻐﻴﺮات
اﻟﻤﺜﺎل اﻟﺜﺎﻧﻲ ﻟﻠﻌﻤﻠﻴﺎت ﻋﻠﻰ اﻟﻤﺘﻐﻴﺮات
اﻟﻤﺜﺎل اﻟﺜﺎﻟﺚ ﻟﻠﻌﻤﻠﻴﺎت ﻋﻠﻰ اﻟﻤﺘﻐﻴﺮات
اﻟﻤﺜﺎل اﻟﺮاﺑﻊ ﻟﻠﻌﻤﻠﻴﺎت ﻋﻠﻰ اﻟﻤﺘﻐﻴﺮات
اﻟﻌﺪد اﻟﺘﺨﻴﻠﻲ ) (iﻣﻌﺮف ﻣﺴﺒﻘﺎ ﻓﻲ
اﻟﻤﺎﺗﻼب ﺑﺸﺮط أن ﻻ ﻳﺘﻢ اﻋﺎدة ﺗﻌﺮﻳﻒ
اﻟﻤﺘﻐﻴﺮ ) (iأﺛﻨﺎء آﺘﺎﺑﺔ أي ﺑﺮﻧﺎﻣﺞ
إﻧﺸﺎء ﻣﺘﻐﻴﺮﻳﻦ ﻣﺮآﺒﻴﻦ ) (aو )(b
إﺟﺮاء ﺑﻌﺾ اﻟﻌﻤﻠﻴﺎت اﻟﺮﻳﺎﺿﻴﺔ اﻟﺒﺴﻴﻄﺔ
ﻋﻠﻰ اﻟﻤﺘﻐﻴﺮﻳﻦ اﻟﻤﺮآﺒﻴﻦ وهﻲ ﺑﺎﻟﺘﺮﺗﻴﺐ
اﻟﺠﻤﻊ ﺛﻢ اﻟﻀﺮب ﺛﻢ اﻟﻘﺴﻤﺔ ﺛﻢ اﻟﻄﺮح
إﻧﺸﺎء ﻣﺘﻐﻴﺮ ﻣﺮآﺐ )(z
)>>ِِreal(z
اﻟﺤﺼﻮل ﻋﻠﻰ اﻟﺠﺰء اﻟﺤﻘﻴﻘﻲ ﻓﻘﻂ
ﻟﻠﻤﺘﻐﻴﺮ اﻟﻤﺮآﺐ )(z
)>>imag(z
اﻟﺤﺼﻮل ﻋﻠﻰ اﻟﺠﺰء اﻟﺘﺨﻴﻠﻲ ﻓﻘﻂ
ﻟﻠﻤﺘﻐﻴﺮ اﻟﻤﺮآﺐ )(z
)>>angle(z
اﻟﺤﺼﻮل ﻋﻠﻰ زاوﻳﺔ اﻟﻄﻮر ﻟﻠﻤﺘﻐﻴﺮ
اﻟﻤﺮآﺐ ) (zﺑﺎﻟﺮادﻳﺎن
)>>abs(z
اﻟﺤﺼﻮل ﻋﻠﻰ اﻟﻘﻴﻤﺔ اﻟﻤﻄﻠﻘﺔ ﻟﻠﻤﺘﻐﻴﺮ
اﻟﻤﺮآﺐ )(z
>>who
>>whos
6
ﺷﺮح اﻟﻤﺜﺎل
ﻹﻧﺸﺎء اﻟﻤﺘﻐﻴﺮﻳﻦ ) (aوﻳﺴﺎوي )(2
واﻟﻤﺘﻐﻴﺮ ) (bوﻳﺴﺎوي )(10
ﻻﺣﻆ أن اﻟﻤﺘﻐﻴﺮ ) (aﻻ ﻳﺴﺎوي اﻟﻤﺘﻐﻴﺮ
) (Aﻷن اﻟﻤﺎﺗﻼب Case Sensitive
ﻋﺮض آﺎﻓﺔ اﻟﻤﺘﻐﻴﺮات اﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻲ
ﻧﺎﻓﺬة اﻷواﻣﺮ
ﻋﺮض ﻣﻔﺼﻞ ﻟﻜﺎﻓﺔ اﻟﻤﺘﻐﻴﺮات
اﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻲ ﻧﺎﻓﺬة اﻷواﻣﺮ ﻣﻊ ﻋﺮض
اﻟﺤﺠﻢ وﻣﻘﺪار اﻟﺬاآﺮة اﻟﻤﺤﺠﻮزة ﺑﺎﻟﺒﺎﻳﺖ
وﻧﻮع اﻟﻤﺘﻐﻴﺮ
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺨﺎﻣﺲ )اﻟﻤﺘﺠﻬﺎت(
)Matlab Examples in Chapter 5 (Vectors
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
اﻟﻤﺘﺠﻪ اﻟﺼﻔﻲ
Row Vector
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
]>>ِِA=[1 2 3 4 5
ﻃﺮﻳﻘﺔ أﺧﺮى ﻹﻧﺸﺎء اﻟﻤﺘﺠﻪ اﻟﺼﻔﻲ
Second Method
إﻧﺸﺎء ﻣﺘﺠﻪ ﺻﻔﻲ
Row Vector
إﻧﺸﺎء ﻣﺘﺠﻪ
Vector Definition
]>>ِِA=[1:5
]>>ِِD=[2 4 6 8 10
اﻟﻄﺮﻳﻘﺔ أﺧﺮى ﻹﻧﺸﺎء اﻟﻤﺘﺠﻪ اﻟﺼﻔﻲ
Second Method
اﻟﻌﻤﻠﻴﺎت ﻋﻠﻰ
اﻟﻤﺘﺠﻬﺎت
Operations on
Vectors
]>>ِِD=[2:2:10
اﻟﻤﺘﺠﻪ اﻟﻌﻤﻮدي
Column Vector
]>>ِِC=[1;2;3;4;5
إﺿﺎﻓﺔ ﻋﻨﺼﺮ ﺟﺪﻳﺪ ﻟﻠﻤﺘﺠﻪ
Element Adding
]>>ِِA=[1;3;5;7;8
>>ِِA(6)=100
إﺿﺎﻓﺔ ﻋﻨﺼﺮ ﺟﺪﻳﺪ ﻟﻠﻤﺘﺠﻪ
Element Adding
>>ِِA(8)=150
ﺣﺬف ﻋﻨﺼﺮ ﻣﻦ ﻣﺘﺠﻪ
Element Deletion
اﺳﺘﺒﺪال ﻗﻴﻤﺔ ﻋﻨﺼﺮ ﻓﻲ ﻣﺘﺠﻪ
Element Replacing
ﻗﻴﻤﺔ اﻟﻌﻨﺼﺮ اﻷآﺒﺮ ﻟﻤﺘﺠﻪ
Maximum Value
ﻗﻴﻤﺔ اﻟﻌﻨﺼﺮ اﻷﺻﻐﺮ ﻟﻤﺘﺠﻪ
Minimum Value
ﻃﻮل اﻟﻤﺘﺠﻪ
Vector Length
ﻣﻘﻴﺎس اﻟﻤﺘﺠﻪ
Vector Norm
ﻣﺜﺎل ﺁﺧﺮ ﻟﻤﻘﻴﺎس اﻟﻤﺘﺠﻪ
Vector Norm
ﺿﺮب اﻟﻤﺘﺠﻬﺎت
Vector Product
اﻟﻀﺮب اﻟﻤﺘﺠﻪ
Dot Product
]>>ِِB=[1;3;5;7;9
][=)>>ِِB(5
]>>ِِB=[1;3;5;7;9
>>ِِB(3)=20
]>>A=[7;8;3;4;5
)>>ِِmax(A
)>>ِِmin(A
]>>A=[1 7 9 8 6
)>>length(A
]>>x=[1 2 3
)>>norm(x,1
)>>norm(x
)>>norm(x,2
)>>norm(x,inf
]>>a=[-10 -5 3
)>>norm(x,1
)>>norm(x,inf
]>>A=[1 2 3
]>>B=[4 5 6
)>>dot(A,B
اﻟﻀﺮب اﻟﻤﺘﺠﻪ
Cross Product
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
)>>cross(A,B
7
ﺷﺮح اﻟﻤﺜﺎل
إﻧﺸﺎء ﻣﺘﺠﻪ ﺻﻔﻲ ﻣﻦ ﺧﻤﺴﺔ ﻋﻨﺎﺻﺮ
ﺑﻄﺮﻳﻘﺔ اﻟﻔﺮاﻏﺎت ﺑﻴﻦ اﻟﻌﻨﺎﺻﺮ
إﻧﺸﺎء ﻧﻔﺲ اﻟﻤﺘﺠﻪ اﻟﺴﺎﺑﻖ ﺑﺎﺳﺘﺨﺪام اﻷﻣﺮ
) (:واﻟﺬي ﻳﻌﻨﻲ آﺎﻓﺔ اﻟﻌﻨﺎﺻﺮ ﻣﻦ ) (1إﻟﻰ
) (5ﺑﺰﻳﺎدة واﺣﺪ ﻋﻦ اﻟﺴﺎﺑﻖ
إﻧﺸﺎء ﻣﺘﺠﻪ ﺻﻔﻲ ﻣﻦ ﺧﻤﺴﺔ ﻋﻨﺎﺻﺮ
إﻧﺸﺎء ﻧﻔﺲ اﻟﻤﺘﺠﻪ اﻟﺴﺎﺑﻖ ﺑﺎﺳﺘﺨﺪام اﻷﻣﺮ
) (:واﻟﺬي ﻳﻌﻨﻲ آﺎﻓﺔ اﻟﻌﻨﺎﺻﺮ ﻣﻦ ) (2إﻟﻰ
) (10ﺑﺰﻳﺎدة ) (2ﻋﻦ اﻟﺴﺎﺑﻖ
إﻧﺸﺎء ﻣﺘﺠﻪ ﻋﻤﻮدي ﻣﻦ ﺧﻤﺴﺔ ﻋﻨﺎﺻﺮ
ﺑﺎﺳﺘﺨﺪام اﻷﻣﺮ );( واﻟﺬي ﻳﻌﻨﻲ ﻧﻬﺎﻳﺔ
اﻟﺼﻒ ﻓﻲ اﻟﻤﺘﻐﻴﺮ )(C
إﻧﺸﺎء ﻣﺘﺠﻪ ﻋﻤﻮدي ) (Aوﻣﻦ ﺛﻢ إﺿﺎﻓﺔ
ﻋﻨﺼﺮ ﺳﺎدس ﺑﻘﻴﻤﺔ )(100
إﺿﺎﻓﺔ ﻋﻨﺼﺮ ﺛﺎﻣﻦ ﻟﻠﻤﺘﺠﻪ ) (Aﺑﻘﻴﻤﺔ
) (150وﻳﻼﺣﻆ ﺑﻌﺪ اﻟﺘﻨﻔﻴﺬ أن اﻟﻤﺎﺗﻼب
أﺿﺎف ﺁﻟﻴﺎ اﻟﻘﻴﻤﺔ ﺻﻔﺮ ﻟﻠﻌﻨﺼﺮ اﻟﺴﺎﺑﻊ
إﻧﺸﺎء ﻣﺘﺠﻪ ﻋﻤﻮدي ) (Bوﻣﻦ ﺛﻢ ﺣﺬف
اﻟﻌﻨﺼﺮ اﻟﺨﺎﻣﺲ ﻓﻘﻂ
إﻧﺸﺎء ﻣﺘﺠﻪ ﻋﻤﻮدي ) (Bوﻣﻦ ﺛﻢ ﺗﻐﻴﻴﺮ
ﻗﻴﻤﺔ اﻟﻌﻨﺼﺮ اﻟﺜﺎﻟﺚ إﻟﻰ اﻟﻘﻴﻤﺔ )(20
إﻧﺸﺎء ﻣﺘﺠﻪ ﻋﻤﻮدي ) (Aوﻣﻦ ﺛﻢ إﻳﺠﺎد
ﻗﻴﻤﺔ اﻟﻌﻨﺼﺮ اﻷآﺒﺮ ﻓﻴﻪ
إﻳﺠﺎد ﻗﻴﻤﺔ اﻟﻌﻨﺼﺮ اﻷﺻﻐﺮ ﻟﻠﻤﺘﺠﻪ )(A
إﻧﺸﺎء ﻣﺘﺠﻪ ﺻﻔﻲ ) (Aوﻣﻦ ﺛﻢ إﻳﺠﺎد
ﻃﻮﻟﻪ وﻳﺴﺎوي ﻋﺪد اﻟﻌﻨﺎﺻﺮ ﻓﻴﻪ
إﻧﺸﺎء ﻣﺘﺠﻪ ﺻﻔﻲ ) (xوﻣﻦ ﺛﻢ إﻳﺠﺎد
ﻣﻘﺎﻳﻴﺴﻪ اﻷول واﻟﺜﺎﻧﻲ )ﺑﻄﺮﻳﻘﺘﻴﻦ( وأﺧﻴﺮا
اﻟﻤﻘﻴﺎس اﻟﻼﻧﻬﺎﺋﻲ
إﻧﺸﺎء ﻣﺘﺠﻪ ﺻﻔﻲ ) (aوﻣﻦ ﺛﻢ إﻳﺠﺎد
ﻣﻘﺎﻳﻴﺴﻪ اﻷول واﻟﻼﻧﻬﺎﺋﻲ
إﻧﺸﺎء ﻣﺘﺠﻬﻴﻦ ﺻﻔﻴﻴﻦ ) (Aو ) (Bوﻣﻦ ﺛﻢ
إﻳﺠﺎد ﻗﻴﻤﺔ اﻟﻀﺮب ) (dotﺑﻴﻨﻬﻤﺎ
إﻳﺠﺎد ﻗﻴﻤﺔ اﻟﻀﺮب ﻣﻦ ﻧﻮع )(cross
ﻟﻠﻤﺘﺠﻬﻴﻦ ) (Aو )(B
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺴﺎدس )اﻟﻤﺼﻔﻮﻓﺎت(
)Matlab Examples in Chapter 6 (Matrices
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
إﻧﺸﺎء ﻣﺼﻔﻮﻓﺔ
Matrix Definition
اﻟﻤﺼﻔﻮﻓﺎت اﻟﺨﺎﺻﺔ
Special
Matrices
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
اﻟﻄﺮﻳﻘﺔ اﻷوﻟﻰ
First Method
]>>ِِA=[1 2;4 5;7 6
اﻟﻄﺮﻳﻘﺔ اﻟﺜﺎﻧﻴﺔ
Second Method
اﻟﻤﺼﻔﻮﻓﺔ اﻟﺼﻔﺮﻳﺔ اﻟﻤﺮﺑﻌﺔ
Square Zeros Matrix
اﻟﻤﺼﻔﻮﻓﺔ اﻟﺼﻔﺮﻳﺔ اﻟﻤﺴﺘﻄﻴﻠﺔ
Rectangular Zeros Matrix
ﻣﺼﻔﻮﻓﺔ اﻟﻮاﺣﺪ اﻟﻤﺮﺑﻌﺔ
Square Ones Matrix
ﻣﺼﻔﻮﻓﺔ اﻟﻮاﺣﺪ اﻟﻤﺴﺘﻄﻴﻠﺔ
Rectangular Ones Matrix
ﻣﺼﻔﻮﻓﺔ اﻟﻮﺣﺪة اﻟﻤﺮﺑﻌﺔ
Square Identity Matrix
ﻣﺼﻔﻮﻓﺔ اﻟﻮﺣﺪة اﻟﻤﺴﺘﻄﻴﻠﺔ
Rectangular 1’s Diagonal
Matrix
اﻟﻤﺼﻔﻮﻓﺔ اﻟﻌﺸﻮاﺋﻴﺔ اﻟﻤﺮﺑﻌﺔ
Square Random Matrix
اﻟﻤﺼﻔﻮﻓﺔ اﻟﻌﺸﻮاﺋﻴﺔ اﻟﻤﺴﺘﻄﻴﻠﺔ
Rectangular Random
Matrix
ﺗﻌﺮﻳﻒ ﻣﺼﻔﻮﻓﺔ آﻤﺜﺎل
اﻟﻌﻤﻠﻴﺎت ﻋﻠﻰ
ﻣﺼﻔﻮﻓﺔ واﺣﺪة
Operations on a
Single Matrix
ﻗﻠﺐ اﻷﻋﻤﺪة آﺼﻔﻮف
Matrix Transpose
ﺟﻤﻊ أﻋﻤﺪة اﻟﻤﺼﻔﻮﻓﺔ
Matrix Sum
اﺳﺘﺨﻼص ﻋﻨﺎﺻﺮ ﻗﻄﺮ اﻟﻤﺼﻔﻮﻓﺔ
Matrix Diagonal Elements
ﺟﻤﻊ ﻋﻨﺎﺻﺮ ﻗﻄﺮ اﻟﻤﺼﻔﻮﻓﺔ
Sum Matrix Diagonal
Elements
أﻳﺠﺎد ﻣﻌﻜﻮس اﻟﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ
Square Matrix Inversion
أﻳﺠﺎد درﺟﺔ اﻟﻤﺼﻔﻮﻓﺔ
Matrix Rank
أﻳﺠﺎد ﻣﺤﺪد اﻟﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ
Square Matrix Determinate
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
]>>ِِA=[1,2;4,5;7,6
)>>o=zeros(3
)>>B=zeros(3,2
)>>A=ones(3
)>>I=ones(4,2
)>>I=eye(2
)>>Y=eye(3,4
ﻹﻧﺸﺎء ﻣﺼﻔﻮﻓﺔ اﻟﻮﺣﺪة اﻟﻤﺴﺘﻄﻴﻠﺔ )(Y
ﺑﺤﺠﻢ 3ﺻﻒ ﻓﻲ 4أﻋﻤﺪة
)>>I=rand(5
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ اﻟﻌﺸﻮاﺋﻴﺔ اﻟﻤﺮﺑﻌﺔ )(I
ﺑﺤﺠﻢ 5×5
)>>I=rand(3,2
>>ِِB=[1 -5 3;6 10
]-9; 11 8 4
’>>ِِB
)>>sum(ِِB
)>>diag(ِِB
))>>sum(diag(ِِB
)>>inv(ِِB
)>>rank(ِِB
)>>det(ِِB
8
ﺷﺮح اﻟﻤﺜﺎل
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ ) (Aﺑﺤﺠﻢ 2ﺻﻒ ﻓﻲ
3أﻋﻤﺪة ﺑﻄﺮﻳﻘﺔ اﻟﻔﺮاﻏﺎت ﺑﻴﻦ ﻋﻨﺎﺻﺮ
اﻟﺼﻒ اﻟﻮاﺣﺪ
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ ) (Aﺑﺤﺠﻢ 2ﺻﻒ ﻓﻲ
3أﻋﻤﺪة ﺑﻄﺮﻳﻘﺔ اﻟﻔﻮاﺻﻞ ﺑﻴﻦ ﻋﻨﺎﺻﺮ
اﻟﺼﻒ اﻟﻮاﺣﺪ
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ ) (oذات
ﻋﻨﺎﺻﺮ اﻷﺻﻔﺎر ﺑﺤﺠﻢ 3×3
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ اﻟﻤﺴﺘﻄﻴﻠﺔ ) (Bذات
اﻷﺻﻔﺎر ﺑﺤﺠﻢ 3ﺻﻒ ﻓﻲ 2أﻋﻤﺪة
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ ) (Aذات
اﻟﻌﻨﺎﺻﺮ واﺣﺪ ﺑﺤﺠﻢ 3×3
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ اﻟﻤﺴﺘﻄﻴﻠﺔ ) (Iذات
اﻟﻌﻨﺎﺻﺮ واﺣﺪ ﺑﺤﺠﻢ 4ﺻﻒ ﻓﻲ 2أﻋﻤﺪة
ﻹﻧﺸﺎء ﻣﺼﻔﻮﻓﺔ اﻟﻮﺣﺪة اﻟﻤﺮﺑﻌﺔ ) (Iﺑﺤﺠﻢ
2×2
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ اﻟﻌﺸﻮاﺋﻴﺔ اﻟﻤﺴﺘﻄﻴﻠﺔ )(I
ﺑﺤﺠﻢ 3ﺻﻒ ﻓﻲ 2أﻋﻤﺪة
ﻹﻧﺸﺎء اﻟﻤﺼﻔﻮﻓﺔ ) (Bﺑﺤﺠﻢ 3ﺻﻒ ﻓﻲ
3أﻋﻤﺪة
ﻗﻠﺐ اﻷﻋﻤﺪة آﺼﻔﻮف واﻟﺼﻔﻮف آﺄﻋﻤﺪة
ﻟﻠﻤﺼﻔﻮﻓﺔ )(B
ﺟﻤﻊ أﻋﻤﺪة اﻟﻤﺼﻔﻮﻓﺔ )(B
اﺳﺘﺨﻼص ﻋﻨﺎﺻﺮ ﻗﻄﺮ اﻟﻤﺼﻔﻮﻓﺔ )(B
ﺟﻤﻊ ﻋﻨﺎﺻﺮ ﻗﻄﺮ اﻟﻤﺼﻔﻮﻓﺔ )(B
إﻳﺠﺎد اﻟﻤﻌﻜﻮس ﻟﻠﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ )(B
إﻳﺠﺎد درﺟﺔ اﻟﻤﺼﻔﻮﻓﺔ )(B
إﻳﺠﺎد اﻟﻤﺤﺪد ﻟﻠﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ )(B
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﺗﺎﺑﻊ ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺴﺎدس )اﻟﻤﺼﻔﻮﻓﺎت(
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
ﺗﺎﺑﻊ اﻟﻌﻤﻠﻴﺎت ﻋﻠﻰ
ﻣﺼﻔﻮﻓﺔ واﺣﺪة
Operations on a
Single Matrix
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
أﻳﺠﺎد اﻟﻘﻴﻢ اﻟﺬاﺗﻴﺔ ﻟﻤﺼﻔﻮﻓﺔ ﻣﺮﺑﻌﺔ
Eigenvalues of Square
Matrix
أﻳﺠﺎد اﻟﻘﻴﻢ واﻟﻤﺘﺠﻬﺎت اﻟﺬاﺗﻴﺔ
ﻟﻤﺼﻔﻮﻓﺔ ﻣﺮﺑﻌﺔ
Eigenvalues and
Eigenvectors
اﺧﺘﻴﺎر ﺻﻒ ﻣﺤﺪد ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Matrix Row Selection
اﺧﺘﻴﺎر ﻋﻤﻮد ﻣﺤﺪد ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Matrix Column Selection
اﺧﺘﻴﺎر اﻟﺼﻒ اﻷﺧﻴﺮ ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Matrix Last Row Selection
اﺧﺘﻴﺎر اﻟﻌﻤﻮد اﻷﺧﻴﺮ ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Matrix Last Column
Selection
)>>eig(ِِB
إﻳﺠﺎد اﻟﻘﻴﻢ اﻟﺬاﺗﻴﺔ ﻟﻠﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ )(B
)>>[V,D] = eig(ِِB
إﻳﺠﺎد اﻟﻘﻴﻢ اﻟﺬاﺗﻴﺔ ) (Vواﻟﻤﺘﺠﻬﺎت اﻟﺬاﺗﻴﺔ
) (Dﻟﻠﻤﺼﻔﻮﻓﺔ اﻟﻤﺮﺑﻌﺔ )(B
)>>ِِB(:,2
اﺧﺘﻴﺎر اﻟﺼﻒ اﻟﺜﺎﻧﻲ ﻓﻘﻂ ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ
)(B
اﺧﺘﻴﺎر اﻟﻌﻤﻮد اﻟﺜﺎﻧﻲ ﻓﻘﻂ ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ
)(B
اﺧﺘﻴﺎر اﻟﺼﻒ اﻷﺧﻴﺮ ﻓﻘﻂ ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ
)(B
)>>ِِB(:,end
اﺧﺘﻴﺎر اﻟﻌﻤﻮد اﻷﺧﻴﺮ ﻓﻘﻂ ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ
)(B
)>>ِِB(2,:
)>>ِِB(end,:
اﺧﺘﻴﺎر ﻣﺼﻔﻮﻓﺔ ﺟﺰﺋﻴﺔ ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Submatrix Selection
)>>ِِB(1:2,2
اﺧﺘﻴﺎر ﻣﺼﻔﻮﻓﺔ ﺟﺰﺋﻴﺔ ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Submatrix Selection
)>>ِِB(1:2,1:2
اﺧﺘﻴﺎر ﻣﺼﻔﻮﻓﺔ ﺟﺰﺋﻴﺔ ﻣﻦ ﻣﺼﻔﻮﻓﺔ
Submatrix Selection
)>>ِِB(3,2:3
ﺗﻌﺮﻳﻒ ﻣﺠﻤﻮﻋﺔ ﻣﺼﻔﻮﻓﺎت
اﻟﻌﻤﻠﻴﺎت ﻋﻠﻰ أآﺜﺮ
ﻣﻦ ﻣﺼﻔﻮﻓﺔ واﺣﺪة
Operations on
Matrices
ﺟﻤﻊ ﻣﺼﻔﻮﻓﺘﻴﻦ
Matrix Addition
ﻃﺮح ﻣﺼﻔﻮﻓﺘﻴﻦ
Matrix Subtraction
ﺿﺮب ﻣﺼﻔﻮﻓﺘﻴﻦ
Matrix Multiplication
ﻗﺴﻤﺔ ﻣﺼﻔﻮﻓﺔ ﻋﻠﻰ ﻋﺪد
Matrix Multiplication
ﺣﻞ ﻣﻨﻈﻮﻣﺔ ﻣﻌﺎدﻻت
ﺧﻄﻴﺔ
إﻧﺸﺎء اﻟﻤﻌﺎدﻻت وﺣﻠﻬﺎ
Building and Solving the
System
Solving a System
of Linear
Equations
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
ﺷﺮح اﻟﻤﺜﺎل
اﺧﺘﻴﺎر اﻟﻌﻨﺎﺻﺮ اﻟﻤﺘﻘﺎﻃﻌﺔ ﻣﺎ ﺑﻴﻦ اﻟﺼﻔﻴﻦ
اﻷول واﻟﺜﺎﻧﻲ ﻣﻊ ﻋﻨﺎﺻﺮ اﻟﻌﻤﻮد اﻟﺜﺎﻧﻲ
ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ )(B
اﺧﺘﻴﺎر اﻟﻌﻨﺎﺻﺮ اﻟﻤﺘﻘﺎﻃﻌﺔ ﻣﺎ ﺑﻴﻦ اﻟﺼﻔﻴﻦ
اﻷول واﻟﺜﺎﻧﻲ ﻣﻊ ﻋﻨﺎﺻﺮ اﻟﻌﻤﻮدﻳﻦ اﻷول
واﻟﺜﺎﻧﻲ ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ )(B
اﺧﺘﻴﺎر اﻟﻌﻨﺎﺻﺮ اﻟﻤﺘﻘﺎﻃﻌﺔ ﻓﻲ اﻟﺼﻒ
اﻟﺜﺎﻟﺚ ﻣﻊ ﻋﻨﺎﺻﺮ اﻟﻌﻤﻮدﻳﻦ اﻟﺜﺎﻧﻲ واﻟﺜﺎﻟﺚ
ﻣﻦ اﻟﻤﺼﻔﻮﻓﺔ )(B
;]>>ِِA=[3 4 6;5 1 8
;]>>ِِB=[7 9 4;8 1 1
;]>>ِِC=[1;3;4
إﻧﺸﺎء ﺛﻼث ﻣﺼﻔﻮﻓﺎت ﻟﻐﺮض ﺗﻄﺒﻴﻖ
اﻷﻣﺜﻠﺔ اﻟﺘﺎﻟﻴﺔ
>>A+ِِB
ﻋﻤﻠﻴﺔ ﺟﻤﻊ اﻟﻤﺼﻔﻮﻓﺘﻴﻦ ) (Aو )(B
>>A-ِِB
ﻋﻤﻠﻴﺔ ﻃﺮح اﻟﻤﺼﻔﻮﻓﺘﻴﻦ ) (Aو )(B
>>A*ِC
ﻋﻤﻠﻴﺔ ﺿﺮب اﻟﻤﺼﻔﻮﻓﺘﻴﻦ ) (Aو )(C
>>A/3
ﻋﻤﻠﻴﺔ ﻗﺴﻤﺔ اﻟﻤﺼﻔﻮﻓﺔ ) (Aﻋﻠﻰ ﻋﺪد
>>ِِA=[1 -1 1;1 2
]2;3 0 1
]>>ِِb=[5;10;1
>>ِِx=inv(A)*b
>>ِِA*x
اﻟﺘﺄآﺪ ﻣﻦ اﻟﺤﻞ
9
ﻗﻢ ﺑﺘﻄﺒﻴﻖ اﻷواﻣﺮ اﻟﻤﻮﺿﺤﺔ وذﻟﻚ ﻟﺤﻞ
ﻣﻨﻈﻮﻣﺔ اﻟﻤﻌﺎدﻻت اﻟﺨﻄﻴﺔ اﻟﺘﺎﻟﻴﺔ :
x-y+z=5
x+2y+2z=10
3x+z=1
ﻧﺎﺗﺞ ﻋﻤﻠﻴﺔ اﻟﻀﺮب ) (A*xﻳﺠﺐ أن
ﻳﺴﺎوي اﻟﻤﺼﻔﻮﻓﺔ )(b
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺴﺎﺑﻊ )اﻟﺮﺳﻢ ﺛﻨﺎﺋﻲ اﻷﺑﻌﺎد(
)Matlab Examples in Chapter 7 (Introduction to 2D Plots
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺮﺳﻢ
ﺛﻨﺎﺋﻲ اﻷﺑﻌﺎد
Introduction to
2D Plots
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
إﻧﺸﺎء ﻣﺘﺠﻪ
Defining a Vector
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
)>>ِِx=linspace(5,20,10
اﻟﺮﺳﻢ ﺛﻨﺎﺋﻲ اﻷﺑﻌﺎد
2D Plot
;)>>ِِx=linspace(0,10,100
;)>>y=sin(x
)>>plot(x,y
إﻧﺸﺎء ﻣﺘﺠﻪ
Defining a Vector
;)>>ِِx=linspace(0,1,100
;)>>y=exp(-x).*cos(6*pi*x
)>>plot(x,y
)’>>plot(x,y,’r
ﺗﻐﻴﻴﺮ ﻟﻮن ﺧﻂ اﻟﺮﺳﻢ
Line Color
)’>>plot(x,y,’g
إﺿﺎﻓﺔ ﻋﻼﻣﺔ ﻟﺨﻂ اﻟﺮﺳﻢ
Line Mark
ﺗﻐﻴﻴﺮ ﻧﻮع ﺧﻂ اﻟﺮﺳﻢ
Line Style
إﺿﺎﻓﺔ ﺧﺼﺎﺋﺺ
إﻟﻰ اﻟﺮﺳﻮﻣﺎت
Setting 2D Plot
Properties
)’*’>>plot(x,y,
)’>>plot(x,y,’:
دﻣﺞ ﻣﺠﻤﻮﻋﺔ ﺧﺼﺎﺋﺺ ﻟﺨﻂ
اﻟﺮﺳﻢ
إﺿﺎﻓﺔ ﺷﺒﻜﺔ ﻟﻠﺮﺳﻢ
Adding Grid to Plot
إزاﻟﺔ ﺷﺒﻜﺔ اﻟﺮﺳﻢ
Removing Grid
إﺿﺎﻓﺔ ﺗﺴﻤﻴﺔ ﻟﻤﺤﻮر اﻟﺴﻴﻨﺎت
Adding Label to x-axis
إﺿﺎﻓﺔ ﺗﺴﻤﻴﺔ ﻟﻤﺤﻮر اﻟﺼﺎدات
Adding Label to y-axis
إﺿﺎﻓﺔ ﻋﻨﻮان ﻟﻠﺮﺳﻢ
Adding Title to Plot
إﺿﺎﻓﺔ ﻧﺺ ﻟﻠﺮﺳﻢ
Adding Text to Plot
إﺿﺎﻓﺔ دﻟﻴﻞ ﻟﻤﻨﺤﻨﻴﺎت اﻟﺮﺳﻢ
Adding Legend to Plot
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
)’>>plot(x,y,’g+
>>grid on
>>grid off
)’>>xlabel(’x
)’>>ylabel(’y
)’>>title(’graph
)’>>text(0.35,0.6,’plot
)’>>legend(‘X-Y Relation
10
ﺷﺮح اﻟﻤﺜﺎل
ﻹﻧﺸﺎء اﻟﻤﺘﺠﻪ ) (xواﻟﺬي ﻳﺘﻜﻮن ﻣﻦ
10ﻗﻴﻢ ﺿﻤﻦ اﻟﻔﺘﺮة ﻣﻦ 5إﻟﻰ 20
وﺗﻜﻮن اﻟﻘﻴﻢ ﻣﻮزﻋﺔ ﺑﺎﻟﺘﺴﺎوي
ﻹﻧﺸﺎء اﻟﻤﺘﺠﻪ ) (xواﻟﺬي ﻳﺘﻜﻮن ﻣﻦ
100ﻗﻴﻤﺔ ﺿﻤﻦ اﻟﻔﺘﺮة ﻣﻦ 0إﻟﻰ
10وﺗﻜﻮن اﻟﻘﻴﻢ ﻣﻮزﻋﺔ ﺑﺎﻟﺘﺴﺎوي
وﻣﻦ ﺛﻢ إﻧﺸﺎء داﻟﺔ ) (sinوﺣﻔﻈﻬﺎ ﻓﻲ
اﻟﻤﺘﻐﻴﺮ ) (yوﻣﻦ ﺛﻢ رﺳﻢ اﻟﺪاﻟﺔ
ﻹﻧﺸﺎء اﻟﻤﺘﺠﻬﻴﻦ ) (xو ) (yوﻣﻦ ﺛﻢ
رﺳﻢ اﻟﺪاﻟﺔ ﺗﻤﺎﻣﺎ آﻤﺎ ﻓﻲ اﻟﺨﻄﻮة
اﻟﺴﺎﺑﻘﺔ
ﺗﻐﻴﻴﺮ ﻟﻮن ﺧﻂ اﻟﺮﺳﻢ إﻟﻰ اﻟﻠﻮن
اﻷﺣﻤﺮ
ﺗﻐﻴﻴﺮ ﻟﻮن ﺧﻂ اﻟﺮﺳﻢ إﻟﻰ اﻟﻠﻮن
اﻷﺧﻀﺮ
إﺿﺎﻓﺔ ﻋﻼﻣﺔ اﻟﻨﺠﻤﺔ ﻟﺨﻂ اﻟﺮﺳﻢ
ﺗﻐﻴﻴﺮ ﻧﻮع ﺧﻂ اﻟﺮﺳﻢ إﻟﻰ اﻟﻨﻮع
اﻟﻤﻨﻘﻂ
ﺗﻐﻴﻴﺮ ﻟﻮن ﺧﻂ اﻟﺮﺳﻢ إﻟﻰ اﻟﻠﻮن
اﻷﺧﻀﺮ ﻣﻊ إﺿﺎﻓﺔ ﻋﻼﻣﺔ زاﺋﺪ ﻟﺨﻂ
اﻟﺮﺳﻢ
ﻳﺘﻢ إﺿﺎﻓﺔ ﺷﺒﻜﺔ ﻟﻠﺮﺳﻢ ﻟﺘﺴﻬﻴﻞ ﻋﻤﻠﻴﺔ
ﻗﺮاءة اﻟﻘﻴﻢ ﻣﻦ اﻟﺮﺳﻢ
ﻳﺘﻢ إزاﻟﺔ ﺷﺒﻜﺔ اﻟﺮﺳﻢ
ﻳﺘﻢ إﺿﺎﻓﺔ ﺗﺴﻤﻴﺔ ﻟﻤﺤﻮر اﻟﺴﻴﻨﺎت
ﺑﺎﻟﺮﻣﺰ ’‘x
ﻳﺘﻢ إﺿﺎﻓﺔ ﺗﺴﻤﻴﺔ ﻟﻤﺤﻮر اﻟﺼﺎدات
ﺑﺎﻟﺮﻣﺰ ’‘y
ﻳﺘﻢ إﺿﺎﻓﺔ ﻋﻨﻮان ﻟﻠﺮﺳﻢ ﺑﺎﻻﺳﻢ
’‘graph
ﻳﺘﻢ إﺿﺎﻓﺔ اﻟﻨﺺ ’ ‘plotﻟﻠﺮﺳﻢ
وذﻟﻚ ﻓﻲ اﻟﻤﻮﻗﻊ اﻟﻤﺤﺪد ﻓﻲ اﻷﻣﺮ
ﻳﺘﻢ إﺿﺎﻓﺔ دﻟﻴﻞ ﻟﻤﻨﺤﻨﻴﺎت اﻟﺮﺳﻢ
وذﻟﻚ ﻓﻲ ﻳﻤﻴﻦ اﻟﺮآﻦ اﻟﻌﻠﻮي ﻟﻠﺮﺳﻢ
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﺗﺎﺑﻊ ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺴﺎﺑﻊ )اﻟﺮﺳﻢ ﺛﻨﺎﺋﻲ اﻷﺑﻌﺎد(
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
إﻧﺸﺎء ﻣﺘﺠﻪ
Defining a Vector
إﻧﺸﺎء رﺳﻮﻣﺎت
ﻣﻨﻔﺼﻠﺔ ﻓﻲ ﻧﺎﻓﺬة
واﺣﺪة
Multiple 2D Plots
in a Window
;>>ِِx=0:0.1:10
>>subplot(2,2,1),
;))plot(x,sin(x
ﺗﻘﺴﻴﻢ ﻧﺎﻓﺬة اﻟﺮﺳﻢ
Subplots in Matlab
>>subplot(2,2,2),
;))plot(x,sin(2*x
>>subplot(2,2,3),
;))plot(x,cos(x
>>subplot(2,2,4),
;))plot(x,exp(x
اﻟﻄﺮﻳﻘﺔ اﻷوﻟﻰ
First Method
دﻣﺞ اﻟﺮﺳﻮم
Combining 2D
Plots
اﻟﻄﺮﻳﻘﺔ اﻟﺜﺎﻧﻴﺔ
Second Method
;>>ِِx=0:0.1:10
;)>>y=sin(x
;)>>z=cos(x
>>hold on
;)>>plot(x,y
;)’>>plot(x,z,’r
>>hold off
;>>ِِx=0:0.1:10
;)>>y=sin(x
;)>>z=cos(x
;)’>>plot(x,y,x,z,’r
دﻣﺞ ﻣﺠﻤﻮﻋﺔ ﺧﺼﺎﺋﺺ ﻟﺨﻂ
اﻟﺮﺳﻢ
اﻟﺮﺳﻮم اﻹﺣﺼﺎﺋﻴﺔ
ﻗﻄﺎﻋﺎت ﻣﻦ اﻟﺪاﺋﺮة
Pie Chart
Statistical Plots
رﺳﻢ اﻹﺷﺎرات
اﻟﻤﺘﻘﻄﻌﺔ
Plotting Discrete
Signals
>>plot(x,y,’g+’,
;)’x,z,’:
;]>>x=[8 17 21 18 6
)>>pie(x
اﻟﻤﺪرج اﻟﺘﻜﺮاري
Bar Chart
اﻹﺷﺎرات اﻟﻤﺘﻘﻄﻌﺔ
Discrete Signals
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
)>>bar(x
;)>>ِِx=linspace(0,2*pi,60
;)>>y=sin(x
)>>stem(x,y
11
ﺷﺮح اﻟﻤﺜﺎل
إﻧﺸﺎء اﻟﻤﺘﺠﻪ ) (xوذﻟﻚ ﻟﺸﺮح
اﻷﻣﺜﻠﺔ اﻟﺘﺎﻟﻴﺔ
ﺗﻘﺴﻴﻢ ﻧﺎﻓﺬة اﻟﺮﺳﻢ إﻟﻰ أرﺑﻊ ﻧﻮاﻓﺬ )2
ﻓﻲ (2ورﺳﻢ اﻟﺪاﻟﺔ ) (sinﻓﻲ اﻟﻨﺎﻓﺬة
اﻷوﻟﻰ )ﻳﺴﺎر اﻟﺼﻒ اﻷول(
ﺗﻘﺴﻴﻢ ﻧﺎﻓﺬة اﻟﺮﺳﻢ إﻟﻰ أرﺑﻊ ﻧﻮاﻓﺬ
ورﺳﻢ اﻟﺪاﻟﺔ ) (sin 2xﻓﻲ اﻟﻨﺎﻓﺬة
اﻟﺜﺎﻧﻴﺔ )ﻳﻤﻴﻦ اﻟﺼﻒ اﻷول(
ﺗﻘﺴﻴﻢ ﻧﺎﻓﺬة اﻟﺮﺳﻢ إﻟﻰ أرﺑﻊ ﻧﻮاﻓﺬ
ورﺳﻢ اﻟﺪاﻟﺔ ) (cosﻓﻲ اﻟﻨﺎﻓﺬة اﻟﺜﺎﻟﺜﺔ
)ﻳﺴﺎر اﻟﺼﻒ اﻟﺜﺎﻧﻲ(
ﺗﻘﺴﻴﻢ ﻧﺎﻓﺬة اﻟﺮﺳﻢ إﻟﻰ أرﺑﻊ ﻧﻮاﻓﺬ
ورﺳﻢ اﻟﺪاﻟﺔ ) (expﻓﻲ اﻟﻨﺎﻓﺬة
اﻟﺮاﺑﻌﺔ )ﻳﻤﻴﻦ اﻟﺼﻒ اﻟﺜﺎﻧﻲ(
ﻳﺘﻢ دﻣﺞ اﻟﺮﺳﻮم ﺑﺎﺳﺘﺨﺪام اﻷﻣﺮ
) (hold onواﻟﺬي ﻳﻘﻮم ﺑﺘﺜﺒﻴﺖ ﻧﺎﻓﺬة
اﻟﺮﺳﻢ وإﺿﺎﻓﺔ أي رﺳﻢ ﺟﺪﻳﺪ إﻟﻰ
ﻧﻔﺲ اﻟﻨﺎﻓﺬة ،ﻟﺬا ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻷواﻣﺮ
ﺣﺴﺐ اﻟﺘﺮﺗﻴﺐ اﻟﻤﻮﺿﺢ
أﻳﻀﺎ ﻳﻤﻜﻦ أن ﻳﺘﻢ دﻣﺞ اﻟﺮﺳﻮم
ﺑﺎﺳﺘﺨﺪام هﺬﻩ اﻟﻄﺮﻳﻘﺔ اﻟﻤﺨﺘﺼﺮة
آﺬﻟﻚ ﻳﻤﻜﻦ ﻓﻲ اﻟﻤﺎﺗﻼب دﻣﺞ اﻟﺮﺳﻮم
وﺗﻐﻴﻴﺮ ﺧﺼﺎﺋﺺ اﻟﺮﺳﻢ ﻟﻜﻞ ﻣﻨﺤﻨﻰ
ﺑﺸﻜﻞ ﻣﺒﺎﺷﺮ
إﻧﺸﺎء ﻣﺘﻐﻴﺮ ) (xوﻣﻦ ﺛﻢ رﺳﻢ اﻟﻨﺴﺐ
اﻟﻤﺌﻮﻳﺔ ﻟﻌﻨﺎﺻﺮﻩ ﻋﻠﻰ ﺷﻜﻞ ﻗﻄﺎﻋﺎت
ﻣﻦ اﻟﺪاﺋﺮة
رﺳﻢ اﻟﻨﺴﺐ اﻟﻤﺌﻮﻳﺔ ﻟﻌﻨﺎﺻﺮ اﻟﻤﺘﻐﻴﺮ
) (xﻋﻠﻰ ﺷﻜﻞ ﻣﺪرج ﺗﻜﺮاري
إﻧﺸﺎء اﻹﺷﺎرات اﻟﻤﺘﻘﻄﻌﺔ ) (xو )(y
وﻣﻦ ﺛﻢ رﺳﻢ ﺗﻠﻚ اﻹﺷﺎرات
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﺟﺪول اﻷﻟﻮان ) (Colorاﻟﻤﻌﺮﻓﺔ ﻓﻲ رﺳﻢ اﻟﻤﻨﺤﻨﻴﺎت
اﻟﺮﻣﺰ اﻟﻤﺴﺘﺨﺪم
اﻟﻠﻮن
Color
y
m
c
r
g
b
w
k
أﺻﻔﺮ
yellow
ﻣﺎﺟﻴﻨﺘﺎ
magenta
ﺳﻤﺎوي
cyan
أﺣﻤﺮ
red
أﺧﻀﺮ
green
أزرق
blue
أﺑﻴﺾ
white
أﺳﻮد
black
ﺟﺪول أﻧﻮاع اﻟﺨﻄﻮط ) (Line Styleاﻟﻤﻌﺮﻓﺔ ﻓﻲ رﺳﻢ اﻟﻤﻨﺤﻨﻴﺎت
اﻟﺮﻣﺰ اﻟﻤﺴﺘﺨﺪم
ﻧﻮع اﻟﺨﻂ
Line Style
ﻣﺘﺼﻞ
solid
:
ﻧﻘﻂ
dotted
-.
ﻧﻘﻄﺔ وﺷﺮﻃﺔ
dash dotted
-ﺷﺮﻃﺔ
dashed
ﺟﺪول اﻷﺷﻜﺎل اﻟﻤﻀﺎﻓﺔ ﻟﻤﻨﺤﻨﻰ اﻟﺮﺳﻢ ) (Markerاﻟﻤﻌﺮﻓﺔ ﻓﻲ رﺳﻢ اﻟﻤﻨﺤﻨﻴﺎت
اﻟﺮﻣﺰ اﻟﻤﺴﺘﺨﺪم
+
o
*
.
x
s
d
^
v
>
<
p
h
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
Description
Plus sign
Circle
Asterisk
Point
Cross
Square
Diamond
Upward-pointing triangle
Downward-pointing triangle
Right-pointing triangle
Left-pointing triangle
)Five-pointed star (pentagram
)Six-pointed star (hexagram
اﻟﻮﺻﻒ
إﺷﺎرة زاﺋﺪ
داﺋﺮة
ﻧﺠﻤﺔ
ﻧﻘﺎط
إﺷﺎرة ﺗﻘﺎﻃﻊ
ﻣﺮﺑﻊ
ﻣﻌﻴﻦ
ﻣﺜﻠﺚ ﻳﺸﻴﺮ ﻟﻸﻋﻠﻰ
ﻣﺜﻠﺚ ﻳﺸﻴﺮ ﻟﻸﺳﻔﻞ
ﻣﺜﻠﺚ ﻳﺸﻴﺮ ﻟﻠﻴﻤﻴﻦ
ﻣﺜﻠﺚ ﻳﺸﻴﺮ ﻟﻠﻴﺴﺎر
ﻧﺠﻤﺔ ﺧﻤﺎﺳﻴﺔ
ﻧﺠﻤﺔ ﺳﺪاﺳﻴﺔ
12
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺜﺎﻣﻦ )اﻟﺒﺮﻣﺠﺔ ﻓﻲ اﻟﻤﺎﺗﻼب(
)Matlab Examples in Chapter 8 (Matlab Programmin
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ
The Editor
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ
Introduction to
Programming
>>edit
ﻣﻠﻒ اﻷواﻣﺮ
)The Script File (M-File
;ِx=pi/100:pi/100:10*pi
;y=sin(x)./x
)plot(x,y
grid on
ﺗﺸﻐﻴﻞ ﻣﻠﻒ اﻷواﻣﺮ
Executing the Script File
>>script
اﻷﻣﺮ )(For
For Loop
اﻷﻣﺮ )(For
Nested For Loop
for n=1:10
;)x(n)=sin(pi*n/10
end
x
for n=1:10
for i=1:10
;)x(n,i)=sin(pi*n/10
end
end
x
a=1
while a<100
a=a*2
end
اﻷﻣﺮ )(While
While Loop
أواﻣﺮ اﻟﺘﺤﻜﻢ ﻓﻲ
اﻟﻤﺴﺎرات
Control Flow
a=2
b=3
if a<b
j=-1
elseif a>b
j=2
else
j=3
end
a=3
b=3
if a<b
j=-1
elseif a>b
j=2
else
j=3
end
اﻷﻣﺮ )(if
If Condition
اﻷﻣﺮ ) (ifﻣﺜﺎل ﺁﺧﺮ
If Condition
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
13
ﺷﺮح اﻟﻤﺜﺎل
ﻗﻢ ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
وذﻟﻚ ﻟﻜﺘﺎﺑﺔ ﻣﻠﻒ )(M-File
ﻗﻢ ﺑﻜﺘﺎﺑﺔ اﻷواﻣﺮ اﻟﻤﻮﺿﺤﺔ ﻓﻲ
ﺷﺎﺷﺔ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
وﺑﻌﺪ اﻻﻧﺘﻬﺎء ﻗﻢ ﺑﺤﻔﻆ اﻟﻤﻠﻒ ﺑﺎﺳﻢ
)(script.m
ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻟﺒﺮﻧﺎﻣﺞ )(script.m
وذﻟﻚ ﺑﻜﺘﺎﺑﺔ اﺳﻢ اﻟﻤﻠﻒ ﻓﻲ ﻧﺎﻓﺬة
اﻷواﻣﺮ ﻟﺒﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
ﻟﺘﻌﻠﻢ آﻴﻔﻴﺔ اﺳﺘﺨﺪام اﻷﻣﺮ ) (forﻗﻢ
ﻗﻢ ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
ﻹﻧﺸﺎء اﻟﻤﻠﻒ )(program1.m
واﻟﺬي ﻳﺤﺘﻮي ﻋﻠﻰ اﻷواﻣﺮ
اﻟﻤﻮﺿﺤﺔ ﺛﻢ ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻟﺒﺮﻧﺎﻣﺞ
ﻗﻢ ﺑﺈﺟﺮاء اﻟﺘﻌﺪﻳﻼت اﻟﻤﻮﺿﺤﺔ ﻋﻠﻰ
ﻧﻔﺲ اﻟﺒﺮﻧﺎﻣﺞ اﻟﺴﺎﺑﻖ واﻟﻤﺴﻤﻰ
) (program1.mﺑﻮاﺳﻄﺔ ﺑﺮﻧﺎﻣﺞ
اﻟﺘﺤﺮﻳﺮ ) (Editorوﻣﻦ ﺛﻢ ﻗﻢ ﺑﺘﻨﻔﻴﺬ
اﻟﺒﺮﻧﺎﻣﺞ
ﻟﺘﻌﻠﻢ آﻴﻔﻴﺔ اﺳﺘﺨﺪام اﻷﻣﺮ )(While
ﻗﻢ ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
ﻹﻧﺸﺎء اﻟﻤﻠﻒ )(program2.m
واﻟﺬي ﻳﺤﺘﻮي ﻋﻠﻰ اﻷواﻣﺮ
اﻟﻤﻮﺿﺤﺔ ﺛﻢ ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻟﺒﺮﻧﺎﻣﺞ
ﻟﺘﻌﻠﻢ آﻴﻔﻴﺔ اﺳﺘﺨﺪام اﻷﻣﺮ ) (ifﻗﻢ
ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
ﻹﻧﺸﺎء اﻟﻤﻠﻒ )(program3.m
واﻟﺬي ﻳﺤﺘﻮي ﻋﻠﻰ اﻷواﻣﺮ
اﻟﻤﻮﺿﺤﺔ ﺛﻢ ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻟﺒﺮﻧﺎﻣﺞ
ﻗﻢ ﺑﺈﺟﺮاء اﻟﺘﻌﺪﻳﻼت اﻟﻤﻮﺿﺤﺔ ﻋﻠﻰ
ﻧﻔﺲ اﻟﺒﺮﻧﺎﻣﺞ اﻟﺴﺎﺑﻖ واﻟﻤﺴﻤﻰ
) (program3.mﺑﻮاﺳﻄﺔ ﺑﺮﻧﺎﻣﺞ
اﻟﺘﺤﺮﻳﺮ ) (Editorوﻣﻦ ﺛﻢ ﻗﻢ ﺑﺘﻨﻔﻴﺬ
اﻟﺒﺮﻧﺎﻣﺞ
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
ﻣﻠﺨﺺ أواﻣﺮ اﻟﻔﺼﻞ اﻟﺜﺎﻣﻦ )اﻟﺒﺮﻣﺠﺔ ﻓﻲ اﻟﻤﺎﺗﻼب(
)Matlab Examples in Chapter 8 (Matlab Programmin
اﻟﻤﻮﺿﻮع اﻟﺮﺋﻴﺴﻲ
اﻟﻤﻮﺿﻮع اﻟﻔﺮﻋﻲ
ﺗﻨﻔﻴﺬ اﻟﻤﺜﺎل ﻓﻲ اﻟﻤﺎﺗﻼب
ﺷﺮح اﻟﻤﺜﺎل
اﻷﻣﺮ )(switch
Switch Case
;)x=ceil(10*rand
switch x
}case{1,2
)’disp(‘probability=20%
}case{3,4,5
)’disp(‘probability=30%
otherwise
)’disp(‘probability=50%
end
ﻟﺘﻌﻠﻢ آﻴﻔﻴﺔ اﺳﺘﺨﺪام اﻷﻣﺮ )(switch
ﻗﻢ ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
ﻹﻧﺸﺎء اﻟﻤﻠﻒ )(program4.m
واﻟﺬي ﻳﺤﺘﻮي ﻋﻠﻰ اﻷواﻣﺮ
اﻟﻤﻮﺿﺤﺔ ﺛﻢ ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻟﺒﺮﻧﺎﻣﺞ
أواﻣﺮ اﻟﺘﺤﻜﻢ ﻓﻲ
اﻟﻤﺴﺎرات
Control Flow
>>for i=1:10
program4
end
ﺗﺸﻐﻴﻞ ﻣﻠﻒ اﻷواﻣﺮ
Executing the Script File
آﺘﺎﺑﺔ داﻟﺔ
Writing a Function
اﺳﺘﺪﻋﺎء اﻟﺪاﻟﺔ
Calling the Function
اﻟﺪاﻟﺔ
The Function
آﺘﺎﺑﺔ داﻟﺔ أﺧﺮى
Writing another
Function
function
)[u,v]=myfunc(a,b
;u=a+b
;v=a-b
)>>[u,v]=myfunc(3,7
)function y=stat(a,b
if a>b
)’disp(‘a is greater than b
elseif a<b
)’disp(‘a is less than b
else
)’disp(‘a is equal b
end
)>>stat(5,3
)>>stat(6,6
)>>stat(2,8
اﺳﺘﺪﻋﺎء اﻟﺪاﻟﺔ
Calling the Function
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
14
ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻟﺒﺮﻧﺎﻣﺞ )(program4
ﻟﻌﺪد ﻋﺸﺮ ﻣﺮات ﻣﺘﺘﺎﻟﻴﺔ وذﻟﻚ ﺑﻜﺘﺎﺑﺔ
هﺬﻩ اﻷواﻣﺮ ﻓﻲ ﻧﺎﻓﺬة اﻷواﻣﺮ
ﻟﺒﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
ﻗﻢ ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
ﻹﻧﺸﺎء ﻣﻠﻒ اﻟﺪاﻟﺔ )(myfunc.m
واﻟﺬي ﻳﺤﺘﻮي ﻋﻠﻰ اﻷواﻣﺮ
اﻟﻤﻮﺿﺤﺔ
ﻻﺳﺘﺪﻋﺎء اﻟﺪاﻟﺔ ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻷﻣﺮ
اﻟﻤﻮﺿﺢ وذﻟﻚ ﺑﻜﺘﺎﺑﺔ اﺳﻢ ﻣﻠﻒ اﻟﺪاﻟﺔ
ﻓﻲ ﻧﺎﻓﺬة اﻷواﻣﺮ ﻟﺒﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
ﻗﻢ ﺑﻔﺘﺢ ﺑﺮﻧﺎﻣﺞ اﻟﺘﺤﺮﻳﺮ )(Editor
ﻹﻧﺸﺎء اﻟﻤﻠﻒ ) (stat.mواﻟﺬي
ﻳﺤﺘﻮي ﻋﻠﻰ اﻷواﻣﺮ اﻟﻤﻮﺿﺤﺔ
ﻻﺳﺘﺪﻋﺎء اﻟﺪاﻟﺔ ﻗﻢ ﺑﺘﻨﻔﻴﺬ اﻷواﻣﺮ
اﻟﻤﻮﺿﺤﺔ وذﻟﻚ ﺑﻜﺘﺎﺑﺔ اﺳﻢ ﻣﻠﻒ
اﻟﺪاﻟﺔ ﻓﻲ ﻧﺎﻓﺬة اﻷواﻣﺮ ﻟﺒﺮﻧﺎﻣﺞ
اﻟﻤﺎﺗﻼب
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
اﻟﻌﻼﻗﺎت اﻟﻤﻨﻄﻘﻴﺔ ) (Logical Expressionاﻟﻤﻌﺮﻓﺔ ﻓﻲ اﻟﻤﺎﺗﻼب
ﺟﺪول ﻋﻼﻗﺎت اﻟﻤﻘﺎرﻧﺔ )(Relation Operators
اﻟﺮﻣﺰ اﻟﻤﺴﺘﺨﺪم
==
=~
<
=<
>
=>
Description
Equal to
Not equal
Less than
Lese than or equal
Greater than
Greater than or equal
وﺻﻒ اﻟﻌﻼﻗﺔ
ﻳﺴﺎوي
ﻻ ﻳﺴﺎوي
أﻗﻞ ﻣﻦ
أﻗﻞ أو ﻳﺴﺎوي
أآﺒﺮ
أآﺒﺮ أو ﻳﺴﺎوي
ﺟﺪول اﻟﻌﻼﻗﺎت اﻟﻤﻨﻄﻘﻴﺔ )(Logical Operators
اﻟﺮﻣﺰ اﻟﻤﺴﺘﺨﺪم
&
|
~
xor
Description
And
or
Not
XOR
وﺻﻒ اﻟﻌﻼﻗﺔ
اﻟﻌﻼﻗﺔ "و"
اﻟﻌﻼﻗﺔ "أو"
اﻟﻌﻼﻗﺔ "ﻻ"
اﻟﻌﻼﻗﺔ )(xor
أﻣﺜﻠﺔ اﻻﺳﺘﺨﺪام ﻓﻲ اﻟﻤﺎﺗﻼب
اﻟﻘﻴﻢ اﻟﺮﻳﺎﺿﻴﺔ
]x ∈ [0,5
]x ∉ [0,5
)x ∈ [0,5
x ≠ 10
x = 10
x = 10 or x = −10
x = 10 xor x = −10
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
ﻃﺮﻳﻘﺔ اﻟﺘﻤﺜﻴﻞ ﻓﻲ اﻟﻤﺎﺗﻼب
)if (x>=0) & (x<=5
)if (x<0) & (x>5
)if (x>=0) & (x<5
)while (x~=10
)while (x==10
)while (x==10)|(x==-10
)while (x==10)xor(x==-10
15
Dr. Khalid A. Al-Hindi
Introduction to Matlab
ﻣﻘﺪﻣﺔ ﻓﻲ اﻟﺒﺮﻣﺠﺔ ﺑﺎﻟﻤﺎﺗﻼب
أواﻣﺮ إﺿﺎﻓﻴﺔ ﻟﺒﺮﻧﺎﻣﺞ اﻟﻤﺎﺗﻼب
Additional Matlab Commands
)اﺳﺘﺨﺪم هﺬا اﻟﺠﺪول ﻟﺘﺴﺠﻴﻞ اﻷواﻣﺮ اﻹﺿﺎﻓﻴﺔ اﻟﺘﻲ ﺗﻌﻠﻤﺘﻬﺎ ﺧﻼل اﻟﺪورة(
اﻷﻣﺮ ﻓﻲ اﻟﻤﺎﺗﻼب
>>clc
اﻷﻣﺮ ﻓﻲ اﻟﻤﺎﺗﻼب
ﺷﺮح اﻷﻣﺮ
ﺷﺮح اﻷﻣﺮ
ﻣﺴﺢ ﻧﺎﻓﺬة إدﺧﺎل اﻷواﻣﺮ
ﻣﺴﺢ آﺎﻓﺔ اﻟﻤﺘﻐﻴﺮات واﻟﺪوال
>>clear allاﻟﻤﺴﺘﺨﺪﻣﺔ ﻓﻲ ﻧﺎﻓﺬة اﻟﻤﺘﻐﻴﺮات
ﻣﻦ ذاآﺮة اﻟﺤﺎﺳﺐ
اﻋﺪاد د /ﺧﺎﻟﺪ ﻋﺒﺪ اﻟﺤﻤﻴﺪ اﻟﻬﻨﺪي
16
Dr. Khalid A. Al-Hindi