{"id":36181,"date":"2025-12-15T20:11:00","date_gmt":"2025-12-15T20:11:00","guid":{"rendered":"https:\/\/puresci.uodiyala.edu.iq\/?p=36181"},"modified":"2025-12-15T20:11:01","modified_gmt":"2025-12-15T20:11:01","slug":"%d8%aa%d8%af%d8%b1%d9%8a%d8%b3%d9%8a-%d9%85%d9%86-%d9%83%d9%84%d9%8a%d8%a9-%d8%a7%d9%84%d8%aa%d8%b1%d8%a8%d9%8a%d8%a9-%d9%84%d9%84%d8%b9%d9%84%d9%88%d9%85-%d8%a7%d9%84%d8%b5%d8%b1%d9%81%d8%a9-56","status":"publish","type":"post","link":"https:\/\/puresci.uodiyala.edu.iq\/home\/36181\/","title":{"rendered":"\u062a\u062f\u0631\u064a\u0633\u064a \u0645\u0646 \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 \u064a\u0646\u0634\u0631 \u0628\u062d\u062b\u064b\u0627 \u0639\u0644\u0645\u064a\u064b\u0627 \u0641\u064a \u0645\u062c\u0644\u0629 \u0639\u0627\u0644\u0645\u064a\u0629 \u0631\u0635\u064a\u0646\u0629"},"content":{"rendered":"<p><strong>\u0646\u0634\u0631 \u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a \u0627\u0644\u0623\u0633\u062a\u0627\u0630 \u0627\u0644\u062f\u0643\u062a\u0648\u0631 \u0639\u0628\u062f \u0627\u0644\u0633\u062a\u0627\u0631 \u062c\u0645\u0639\u0629 \u0630\u064a\u0627\u0628 \u0645\u0646 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 \u0628\u062c\u0627\u0645\u0639\u0629 \u062f\u064a\u0627\u0644\u0649\u060c \u0628\u062d\u062b\u064b\u0627 \u0639\u0644\u0645\u064a\u064b\u0627 \u0628\u0639\u0646\u0648\u0627\u0646<br>(An Additional Properties For The Categories of Unpointed and Pointed and Pairs Spaces)<br>\u0641\u064a \u0645\u062c\u0644\u0629 (Mathematics for Applications \u2013 An Open Access Journal) \u0627\u0644\u0635\u0627\u062f\u0631\u0629 \u0639\u0646 Brno University of Technology\u060c \u0648\u0647\u064a \u0645\u062c\u0644\u0629 \u0639\u0644\u0645\u064a\u0629 \u0639\u0627\u0644\u0645\u064a\u0629 \u0631\u0635\u064a\u0646\u0629 \u0645\u0641\u0647\u0631\u0633\u0629 \u0636\u0645\u0646 \u0645\u0633\u062a\u0648\u0639\u0628\u0627\u062a Scopus \u0648\u0628\u062a\u0635\u0646\u064a\u0641 Q3.<\/strong><\/p><p><strong>\u062a\u0646\u0627\u0648\u0644 \u0627\u0644\u0628\u062d\u062b \u062f\u0631\u0627\u0633\u0629 \u0641\u0626\u0627\u062a \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u064a\u0629 \u0648\u063a\u064a\u0631 \u0627\u0644\u0646\u0642\u0637\u064a\u0629\u060c \u062d\u064a\u062b \u062a\u0645 \u0625\u0646\u0634\u0627\u0621 \u0648\u0628\u0631\u0647\u0646\u0629 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u062e\u0648\u0627\u0635 \u0644\u0641\u0626\u0629 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u064a\u0629 \u0648\u063a\u064a\u0631 \u0627\u0644\u0646\u0642\u0637\u064a\u0629\u060c \u0641\u0636\u0644\u064b\u0627 \u0639\u0646 \u0625\u0646\u0634\u0627\u0621 \u0648\u0628\u0631\u0647\u0646\u0629 \u0628\u0639\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0628\u0648\u0644\u0648\u062c\u064a\u0629 \u0644\u0641\u0626\u0629 \u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0623\u0632\u0648\u0627\u062c \u0627\u0644\u0645\u0631\u062a\u0628\u0629\u060c \u0648\u0630\u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0625\u062b\u0628\u0627\u062a \u0646\u0638\u0627\u0626\u0631 \u0646\u062a\u0627\u0626\u062c \u0645\u0647\u0645\u0629 \u0645\u062b\u0644 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u0637\u0628\u064a\u0639\u064a (Natural Equivalence) \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0642\u064a\u064a\u0645 (Evaluation Map) \u0648\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0623\u0633\u064a (Exponential Law) \u0641\u064a \u0641\u0626\u0627\u062a \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u064a\u0629 \u0648\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0623\u0632\u0648\u0627\u062c.<\/strong><\/p><p><strong>\u0648\u0623\u0638\u0647\u0631\u062a \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0628\u062d\u062b \u0625\u0645\u0643\u0627\u0646\u064a\u0629 \u062a\u0639\u0645\u064a\u0645 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0645\u062a\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0641\u064a \u0641\u0626\u0629 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u064a\u0629\u2014\u0648\u0645\u0646\u0647\u0627 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0642\u064a\u064a\u0645 \u0648\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0623\u0633\u064a\u2014\u0644\u062a\u0634\u0645\u0644 \u0641\u0626\u0629 \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0646\u0642\u0637\u064a\u0629 \u0648\u0641\u0626\u0629 \u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u0623\u0632\u0648\u0627\u062c\u060c \u0645\u0639 \u0625\u0636\u0627\u0641\u0629 \u0628\u0639\u0636 \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0643\u0644 \u0641\u0626\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0647\u0645 \u0641\u064a \u062a\u0648\u0633\u064a\u0639 \u0627\u0644\u0625\u0637\u0627\u0631 \u0627\u0644\u0646\u0638\u0631\u064a \u0644\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u062a\u0628\u0648\u0644\u0648\u062c\u064a\u0629 \u0648\u0627\u0644\u0641\u0626\u0648\u064a\u0629.<\/strong><\/p><figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"473\" height=\"1024\" src=\"https:\/\/puresci.uodiyala.edu.iq\/wp-content\/uploads\/2025\/12\/image-154-473x1024.png\" alt=\"\" class=\"wp-image-36182\" srcset=\"https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-154-473x1024.png 473w, https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-154-138x300.png 138w, https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-154.png 540w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><\/figure><figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"742\" height=\"742\" src=\"https:\/\/puresci.uodiyala.edu.iq\/wp-content\/uploads\/2025\/12\/image-155.png\" alt=\"\" class=\"wp-image-36183\" srcset=\"https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-155.png 742w, https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-155-300x300.png 300w, https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-155-150x150.png 150w, https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-155-600x600.png 600w, https:\/\/puresci.uodiyala.edu.iq\/home\/wp-content\/uploads\/2025\/12\/image-155-100x100.png 100w\" sizes=\"(max-width: 742px) 100vw, 742px\" \/><\/figure><p>\u0648\u064a\u0623\u062a\u064a \u0647\u0630\u0627 \u0627\u0644\u0625\u0646\u062c\u0627\u0632 \u0627\u0644\u0639\u0644\u0645\u064a \u0627\u0646\u0633\u062c\u0627\u0645\u064b\u0627 \u0645\u0639 \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0646\u0645\u064a\u0629 \u0627\u0644\u0645\u0633\u062a\u062f\u0627\u0645\u0629 \u0648\u0644\u0627 \u0633\u064a\u0645\u0627 \u0627\u0644\u0647\u062f\u0641 \u0627\u0644\u0631\u0627\u0628\u0639 \u0627\u0644\u062a\u0639\u0644\u064a\u0645 \u0627\u0644\u062c\u064a\u062f\u060c \u0645\u0646 \u062e\u0644\u0627\u0644 \u062f\u0639\u0645 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0639\u0644\u0645\u064a \u0627\u0644\u0631\u0635\u064a\u0646 \u0648\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0639\u0631\u0641\u064a \u0641\u064a \u0627\u0644\u0645\u0624\u0633\u0633\u0627\u062a \u0627\u0644\u0623\u0643\u0627\u062f\u064a\u0645\u064a\u0629.<\/p>","protected":false},"excerpt":{"rendered":"<p>\u0646\u0634\u0631 \u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a \u0627\u0644\u0623\u0633\u062a\u0627\u0630 \u0627\u0644\u062f\u0643\u062a\u0648\u0631 \u0639\u0628\u062f \u0627\u0644\u0633\u062a\u0627\u0631 \u062c\u0645\u0639\u0629 \u0630\u064a\u0627\u0628 \u0645\u0646 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 \u0628\u062c\u0627\u0645\u0639\u0629 \u062f\u064a\u0627\u0644\u0649\u060c \u0628\u062d\u062b\u064b\u0627 \u0639\u0644\u0645\u064a\u064b\u0627 \u0628\u0639\u0646\u0648\u0627\u0646(An Additional Properties For The Categories of Unpointed and Pointed and Pairs Spaces)\u0641\u064a \u0645\u062c\u0644\u0629 (Mathematics for Applications \u2013 An Open &hellip; <\/p>\n","protected":false},"author":125848,"featured_media":36183,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"pmpro_default_level":"","footnotes":""},"categories":[111],"tags":[],"class_list":["post-36181","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-111","pmpro-has-access"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u062a\u062f\u0631\u064a\u0633\u064a \u0645\u0646 \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 \u064a\u0646\u0634\u0631 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