استكمال خارجي

مثال لتوضيح مسألة في الاستكمال الخارجي، وتتمثل في تعيين قيمة للمربع الأزرق عند قيمة ، مع الأخذ في الاعتبار القيم المعطاة باللون الأحمر

في الرياضيات، الاستكمال (الاستكمال الخارجي) أو التقدير الاستقرائي[1] أو الاستقراء الخارجي[2] Extrapolation هو عملية استنباط واستخراج نقاط بيانية أخرى خارج مجال المجموعة المتقطعة من النقاط البيانية، فبينما يحاول الاستيفاء أو الاستكمال الداخلي Interpolation إيجاد نفاط بيانية جديدة ضمن مجال المجموعة المتقطعة من البيانات المعطاة يقوم الاستكمال بنفس العملية خارج هذا المجال.[3][4][5] هذا الفارق يجعل نتائج الاستكمال أقل دقة وأهمية من نتائج الاستيفاء.

مراجع

  1. ^ معجم البيانات والذكاء الاصطناعي (PDF) (بالعربية والإنجليزية)، الهيئة السعودية للبيانات والذكاء الاصطناعي، 2022، ص. 68، QID:Q111421033
  2. ^ معجم مصطلحات الكيمياء (بالعربية والإنجليزية والفرنسية) (ط. 1)، دمشق: مجمع اللغة العربية بدمشق، 2014، ص. 181، OCLC:931065783، QID:Q113378673
  3. ^ J. Scott Armstrong (1984). "Forecasting by Extrapolation: Conclusions from Twenty-Five Years of Research" (PDF). Interfaces. ج. 14: 52–66. DOI:10.1287/inte.14.6.52. مؤرشف من الأصل (PDF) في 2010-06-22.
  4. ^ Shuangren Zhao؛ Kang Yang؛ Xintie Yang (2011). "Reconstruction from truncated projections using mixed extrapolations of exponential and quadratic functions" (PDF). J Xray Sci Technol. ص. 155–72. مؤرشف من الأصل (PDF) في 2017-09-29.
  5. ^ Extrapolation, entry at Merriam–Webster نسخة محفوظة 27 يونيو 2018 على موقع واي باك مشين.

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