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books مبرهنة شفارز

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# Fermats last theorem # Central Limit Theorem # Pythagorean theorem # Basic Theorem of Algebra # Basic theorem in arithmetic # Basic Theorem of Calculus # Thales' theorem # Cantor's theorem # Piccard Lindelof's theorem # binomial theorem # Lamy's theorem # Apple's theorem # Apollonius' theorem # Abi Abdul-Ilah's theorem # Abery's theorem # sampling theorem # Basic Theorem # Okeshio's theorem # Euler's theorem # H . theorem
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مبرهنة شفارز (Info)


مبرهنة شفارز (نسبة إلى الرياضي الألماني هيرمان شفارز Schwarz)، وتسمى أيضا بمبرهنة كليرو (Clairaut) أو مبرهنة يونغ (Young) هي مبرهنة في التحليل الرياضي حول خصائص المشتقات الجزئية من الدرجة الثانية للدوال المتعددة المتغيرات.

نص المبرهنة

مبرهنة

باعتبار فضائين متجهيين معياريين و ومجموعة مفتوحة ضمن الفضاء .

إذا كان التطبيق قابلا للاشتقاق من الدرجة الثانية في نقطة من

فالتطبيق الثنائي الخطي تماثلي.

لازمة

إذا كانت دالة مستقرها في ، ومعرفة في مجموعة مفتوحة ضمن ، وقابلة للاشتقاق من الدرجة الثانية في نقطة محددة فمصفوفتها الهيسية متماثلة عند هذه النقطة.

تاريخ

ذكرت المبرهنة لأول مرة خلال دروس الحساب التفاضلي التي كان يسيرها كارل ويرستراس، في جامعة برلين التقنية، حيث كان هيرمان شفارز يشتغل على أطروحته للدكتوراه تحت إشراف ويرستراس.

Source: wikipedia.org
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Fermat's Last Theorem

Fermat's Last Theorem
  (1)
Unavailable
Copyright reserved
Mirror - A Theorem To Answer The Simulation Hypothesis

Mirror - A Theorem To Answer The Simulation Hypothesis
The publisher is the author
الفصل الأول مبرهنة ذات الحدين

الفصل الأول مبرهنة ذات الحدين
The Intrinsic Bisector Theorem Is Reversed

The Intrinsic Bisector Theorem Is Reversed
Limits Lesson (sine-angle Limit Theorem = 1)

Limits Lesson (sine-angle Limit Theorem = 1)
Unavailable
Copyright reserved
Fermat's Last Theorem - Unveiling The Oldest Problem In Mathematics

Fermat's Last Theorem - Unveiling The Oldest Problem In Mathematics
  (2)
The publisher is the author
Binomial Theorem

Binomial Theorem
The End At Infinity And The Explanation Of The Bounding Function Theorem.

The End At Infinity And The Explanation Of The Bounding Function Theorem.
Public Domain
Elements Of Algebra; Including Sturm's Theorem

Elements Of Algebra; Including Sturm's Theorem
Public Domain
Abel's Theorem And The Allies Theory, Including The Theory Of The Theta Functions

Abel's Theorem And The Allies Theory, Including The Theory Of The Theta Functions
  (1)
Public Domain
Complex Integration And Cauchys Theorem

Complex Integration And Cauchys Theorem
Public Domain
Complex Integration And Cauchy's Theorem

Complex Integration And Cauchy's Theorem
Public Domain
Complex Integration And Cauchy's Theorem

Complex Integration And Cauchy's Theorem
Public Domain
Annals Of Mathematics

Annals Of Mathematics
Public Domain
The Doctrine Of Permutations And Combinations

The Doctrine Of Permutations And Combinations
Public Domain
Abel's Theorem And The Allied Theory, Including The Theory Of The Theta Functions

Abel's Theorem And The Allied Theory, Including The Theory Of The Theta Functions
Public Domain
Abel's Theorem And The Allied Theory, Including The Theory Of The Theta Functions

Abel's Theorem And The Allied Theory, Including The Theory Of The Theta Functions
  (1)
Thevenin Theorem Report

Thevenin Theorem Report
Public Domain
Abels Theorem And The Allied Theory Including The Theory Of The Theta Functions

Abels Theorem And The Allied Theory Including The Theory Of The Theta Functions
Public Domain
A Course Of Pure Mathematics

A Course Of Pure Mathematics
Unavailable
Copyright reserved
Mathematics Infinitive Theorems

Mathematics Infinitive Theorems
Unavailable
Copyright reserved
Derivatives Of Higher Order And Leibniz's Theorem

Derivatives Of Higher Order And Leibniz's Theorem
Public Domain
A History Of Mathematics

A History Of Mathematics
Public Domain
A Course Of Plane Geometry For Advanced Students

A Course Of Plane Geometry For Advanced Students
Unavailable
Copyright reserved
The One Percent Theorem By Ron Suskind

The One Percent Theorem By Ron Suskind
Public Domain
A School Geometry

A School Geometry
Public Domain
Diophantus Of Alexandria; A Study In The History Of Greek Algebra

Diophantus Of Alexandria; A Study In The History Of Greek Algebra
Public Domain
Elements Of Algebra: Including Sturms' Theorem. Translated From The French Of M. Bourdon; Adapted To The Course Of Mathematical Instruction In The United States

Elements Of Algebra: Including Sturms' Theorem. Translated From The French Of M. Bourdon; Adapted To The Course Of Mathematical Instruction In The United States
Public Domain
Advanced Algebra

Advanced Algebra
نقد استحالة البرهنة على وجود الله (تعالى شأنه)

نقد استحالة البرهنة على وجود الله (تعالى شأنه)
Public Domain
The Axioms Of Projective Geometry

The Axioms Of Projective Geometry
Public Domain
A College Algebra

A College Algebra
The publisher is the author
Messiah Theorem

Messiah Theorem
Public Domain
The American Mathematical Monthly

The American Mathematical Monthly
Public Domain
A Course Of Mathematics For The Use Of Academies : As Well As Private Tuition

A Course Of Mathematics For The Use Of Academies : As Well As Private Tuition
المحاججة العقلية في برهنة حقائق القرآن

المحاججة العقلية في برهنة حقائق القرآن

Book Categories

Novels And Literary Stories Islamic Religion Human Development And Self-development History Islamic Fiqh Literature Interpretation Of The Koran Philosophy And Logic Islamic Faith The Culture Biographies, Translations And Life Of The Famous People Biography Of The Prophet Muhammad, May God Bless Him And Grant Him Peace Psychology Teaching English English Islamic Philosophy Arabic Literature Arabic Sciences Of The Noble Qur’an And The Sunnah Of The Prophet Political Science And Strategy History Acclamation The Holy Qur'an Engineering Poetry And Poets Education More of Book Categories

Authors of books

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