Targadda n Kuci–Cwarz

Ɣ tusnakt, Targadda nɣ tamyagart n Kuci–Scwarz (s tanglizt : Cauchy–Schwarz), ⵜⵜⵡⴰⵢⵙⴰⵏ ula s ⵉⵙⵎ n targadda n Cauchy–Bunyakovsky–Schwarz, tga yat targadda ⵜⴰⴼⵔⴰⵔⵜ  ɣ tusnakt ⴰⴽⴽⵯ , ar sis nswurri ɣ ⴰⵍⴳⴰⴱⵔ  ⵉⵎⵣⵔⵉⴳ ,  tiẓri n tsqqart d kigan n igran yaḍni. Targadda ad issufɣt-id yan umusnak afransis iga s yism Augustin-Louis Cauchy ɣ ⵓⵙⴳⴳⵯⴰⵙ ⵏ 1821, sliɣ yufa Viktor Bunyakovsky yat targadda trwast akk ɣ mad izdin d aɣrd ɣ ⵓⵙⴳⴳⵯⴰⵙ n 1859, v tgira  yufatt daɣ yan umusnak [ⴳⵓ  ⴰⵍⵉⵎⴰⵏ ]] Hermann Amandus Schwarz ɣ ⵓⵙⴳⴳⵯⴰⵙ n 1888( en ) Steele, J. Michael (2004)The Cauchy–Schwarz Master Class: an Introduction to the Art of Mathematical Inequalities.

 ⵎⴰⴷ ⵜⵉⵏⵉ  
Ar ttini targadda n Cauchy–Schwarz mas i akk sin imawayn  d  n yat tallunt gis afaris agnsan hann rad darnɣ tili

maɣ  iga yan ufaris agnsan. S umdya afaris agnsan gis afaris afsnan n utul d arafrar S ɣmka-d, iɣ nusi aẓur uzmir-sin ɣ ⵜⵉⵙⴳⴳⵯⵉⵏ s snat, d iɣ asn nga alugn. Ar nttafa targadda ad ( en ) Strang, Gilbert (19 July 2005). "3.2". Linear Algebra and its Applications (4th ed.). Stamford, CT: Cengage Learning. pp. 154–155. ISBN 978-0030105678.( en ) Hunter, John K.; Nachtergaele, Bruno (2001). Applied Analysis. World Scientific. ISBN 981-02-4191-7.: 



D yat tɣawsa yaḍn, tasgiwin s snat gaddan iɣ  d  gan ilulliyn imzirgn (ra nini  gan imsadaɣn).( en ) Bachmann, George; Narici, Lawrence; Beckenstein, Edward (2012-12-06). Fourier and Wavelet Analysis. Springer Science & Business Media. p. 14. ISBN 9781461205050.( en ) Hassani, Sadri (1999). Mathematical Physics: A Modern Introduction to Its Foundations. Springer. p. 29. ISBN 0-387-98579-4. Equality holds iff <c|c>=0 or |c>=0. From the definition of |c>, we conclude that |a> and |b> must be proportional. 

Iɣ  d  d ufaris agnsan iga afaris agnsan usniy anaway, hann targadda tZḍaR ad ttyara zund ɣika-d (maɣ tirra n arafrar ar sis nmmal unaftay n ismlaln): i , darnɣ 



Ad t igan, 



Amawal
Targadda = inegalite
Aljibr imzirg = Algebre lineaire
Taslṭ = analyse
Tiẓri = theorie
Tasqqart = probabilite
Amusnak = mathematicien
Aɣrd = intagral
Amaway = vecteur
Tallunt = espace
Afaris = produit
Agnsan = interne
Afsnan = scalaire
Ilawn = reel
Ismlaln = complexe
Aẓur = racine
Uzmir-sin = carree
Alugn = norme
Tilelli timzirgt = independance lineaire
Imsadaɣn = paralleles
Anaway = standard
Anaftay = conjuge 

 Tisaɣulin 

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