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مقدمة وتعريف (Info)


المثال الأول: الأسهم في المستوى

المثال الثاني: أزواج مرتبة من الأعداد

المثال الثاني على الفضاءات المتجهية هو الأزواج من الأعداد الحقيقية و (الترتيب الذي جاءا فيه العددان و مهم يعني بصفة عامة . لهذا السبب سمي هذا الزوج بزوج مرتب).

تعريف شامل

لتكن مجموعة من العناصر (ليس بالضرورة أعداد) مزودة بقانون تركيب داخلي يرمز له بـ (ليس بالضرورة الجمع المألوف)

وليكن حقل تبادلي (استعملت الرموز و لكي لا يتم الخلط بينها وبين و لكنها لا تعدو كونها مجرد رموز)

نعرف الفضاء المتجهي على أنه مجموعة مزودة بـ

  • قانون تركيب داخلي يرمز له بـ
  • قانون تركيب خارجي يرمز له بـ

حيث تحقق الخاصيات التالية :

نقول أن هو فضاء متجهي معرف على

تسمية ونرميز

  • عناصر تسمى المتجهات . تكتب عادة بحروف لاتينية صغيرة و غالبا ما تميز عن كونها مجرد أعداد برسم سهم فوق اسم المتجهة وخصوصا في الفيزياء والهندسة، أو ببساطة قد تكتب بخط غليظ
  • عناصر تسمى الكميات القياسية أو كميات سُلمية (scalaire). مثل الأعداد الحقيقية أوالأعداد العقدية. عادة ما تُمَيـز عن المتجهات بكتابتها بحروف يونانية صغيرة .
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Introduction And Definition Of The Riyadh Region (riyadh Region; Historical, Geographical And Social Study; Part 1)

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Mustafa Mahmoud The Words Of God Almighty Ibrahim AlFiqi Muhammad Bin Saleh AlUthaymeen Ibn Qayyim Al-Jawziyya Ahmed Khaled Tawfiq Fahad Amer AlAhmadi Muhammad Metwally AlShaarawi Ali Bin Jaber AlFifi Dale Carnegie Islam Gamal Sayed Qutb Muhammad AlGhazali Omar AlHourani Agatha Christie Muhammad Bin Ismail AlBukhari Abbas AlAkkad Abu Hamid AlGhazali Najib Mahfouz Fyodor Dostoevsky Jalal AlDin AlSuyuti Bin Taymiyyah Ismail Bin Omar Bin Katheer AlQurashi Aldamashqiu Ibrahim Al-Sukran Mustafa AlAdawi More of Authors of books