{"id":35780,"date":"2023-05-29T08:46:41","date_gmt":"2023-05-29T08:46:41","guid":{"rendered":"https:\/\/sci.sohag-univ.edu.eg\/main\/\/?page_id=35780"},"modified":"2023-05-30T09:05:08","modified_gmt":"2023-05-30T09:05:08","slug":"published-researches","status":"publish","type":"page","link":"https:\/\/sci.sohag-univ.edu.eg\/main\/en\/published-researches\/","title":{"rendered":"Published Researches"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"35780\" class=\"elementor elementor-35780\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-11934c0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"11934c0\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a545003\" data-id=\"a545003\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-93b8c95 elementor-widget elementor-widget-heading\" data-id=\"93b8c95\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Published Research 2021<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cee9e4b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cee9e4b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6d6711d\" data-id=\"6d6711d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2b7daf5 elementor-widget elementor-widget-image\" data-id=\"2b7daf5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"595\" height=\"842\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_002.jpg\" class=\"attachment-large size-large wp-image-28990\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_002.jpg 595w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_002-212x300.jpg 212w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_002-191x270.jpg 191w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d563b3a elementor-widget elementor-widget-image\" data-id=\"d563b3a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"595\" height=\"842\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/05\/\u0639\u0644\u0648\u0645.png\" class=\"attachment-large size-large wp-image-35876\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/05\/\u0639\u0644\u0648\u0645.png 595w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/05\/\u0639\u0644\u0648\u0645-212x300.png 212w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/05\/\u0639\u0644\u0648\u0645-191x270.png 191w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8ef2b20 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8ef2b20\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4b63b05\" data-id=\"4b63b05\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3458412 elementor-widget elementor-widget-image\" data-id=\"3458412\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"595\" height=\"842\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_003.jpg\" class=\"attachment-large size-large wp-image-28991\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_003.jpg 595w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_003-212x300.jpg 212w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_003-191x270.jpg 191w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a207343 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a207343\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-11620c0\" data-id=\"11620c0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-95ec77a elementor-widget elementor-widget-image\" data-id=\"95ec77a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"595\" height=\"842\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_004.jpg\" class=\"attachment-large size-large wp-image-28992\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_004.jpg 595w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_004-212x300.jpg 212w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_004-191x270.jpg 191w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5a00193 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5a00193\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d279be2\" data-id=\"d279be2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0946f10 elementor-widget elementor-widget-image\" data-id=\"0946f10\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"595\" height=\"842\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_005.jpg\" class=\"attachment-large size-large wp-image-28993\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_005.jpg 595w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_005-212x300.jpg 212w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2022\/08\/\u0627\u0644\u0623\u0628\u062d\u0627\u062b-\u0627\u0644\u0645\u0646\u0634\u0648\u0631\u0629-\u062e\u0644\u0627\u0644-2021_005-191x270.jpg 191w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a6a5899 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a6a5899\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-51477d9\" data-id=\"51477d9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-039509f elementor-widget elementor-widget-heading\" data-id=\"039509f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Published Research 2022<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa62312 elementor-widget elementor-widget-image\" data-id=\"aa62312\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"612\" height=\"792\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_001.png\" class=\"attachment-large size-large wp-image-33425\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_001.png 612w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_001-232x300.png 232w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_001-209x270.png 209w\" sizes=\"(max-width: 612px) 100vw, 612px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-723e553 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"723e553\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a7143bc\" data-id=\"a7143bc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1e5c4c8 elementor-widget elementor-widget-image\" data-id=\"1e5c4c8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"612\" height=\"792\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_002.png\" class=\"attachment-large size-large wp-image-33426\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_002.png 612w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_002-232x300.png 232w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_002-209x270.png 209w\" sizes=\"(max-width: 612px) 100vw, 612px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-936d26e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"936d26e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3c3c08d\" data-id=\"3c3c08d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bd38df6 elementor-widget elementor-widget-image\" data-id=\"bd38df6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"612\" height=\"792\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_003.png\" class=\"attachment-large size-large wp-image-33427\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_003.png 612w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_003-232x300.png 232w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_003-209x270.png 209w\" sizes=\"(max-width: 612px) 100vw, 612px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-62e4946 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"62e4946\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-70c7ab5\" data-id=\"70c7ab5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cbc79d0 elementor-widget elementor-widget-image\" data-id=\"cbc79d0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"612\" height=\"792\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_004.png\" class=\"attachment-large size-large wp-image-33428\" alt=\"\" srcset=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_004.png 612w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_004-232x300.png 232w, https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_004-209x270.png 209w\" sizes=\"(max-width: 612px) 100vw, 612px\" 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elementor-section-height-default elementor-section-height-default\" data-id=\"c129a44\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-dfe135a\" data-id=\"dfe135a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5293930 elementor-widget elementor-widget-image\" data-id=\"5293930\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"612\" height=\"792\" src=\"https:\/\/sci.sohag-univ.edu.eg\/main\/wp-content\/uploads\/2023\/01\/Math-Dept-Publications-2022_006.png\" 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