{"id":2763,"date":"2024-08-07T21:28:21","date_gmt":"2024-08-07T20:28:21","guid":{"rendered":"https:\/\/3dcad.news\/cn\/%e4%bd%93%e7%a7%af%e5%92%8c%e8%a1%a8%e9%9d%a2%e7%a7%af%e5%88%86%e7%9a%84%e6%9d%90%e6%96%99%e8%a1%8d%e7%94%9f%e6%95%b0%e5%ad%a6%e5%88%86%e6%9e%90\/"},"modified":"2024-08-07T21:28:21","modified_gmt":"2024-08-07T20:28:21","slug":"%e4%bd%93%e7%a7%af%e5%92%8c%e8%a1%a8%e9%9d%a2%e7%a7%af%e5%88%86%e7%9a%84%e6%9d%90%e6%96%99%e8%a1%8d%e7%94%9f%e6%95%b0%e5%ad%a6%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/enginpress.com\/cn\/%e4%bd%93%e7%a7%af%e5%92%8c%e8%a1%a8%e9%9d%a2%e7%a7%af%e5%88%86%e7%9a%84%e6%9d%90%e6%96%99%e8%a1%8d%e7%94%9f%e6%95%b0%e5%ad%a6%e5%88%86%e6%9e%90\/","title":{"rendered":"\u4f53\u79ef\u548c\u8868\u9762\u79ef\u5206\u7684\u6750\u6599\u884d\u751f\u6570\u5b66\u5206\u6790"},"content":{"rendered":"<p><\/p>\n<div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u8981\u5206\u6790\u4f53\u79ef\u548c\u66f2\u9762\u79ef\u5206\u7684\u7269\u8d28\u5bfc\u6570\uff0c\u6211\u4eec\u9996\u5148\u8981\u5b9a\u4e49\u7269\u8d28\u5bfc\u6570\uff0c\u4e5f\u79f0\u5b9e\u8d28\u5bfc\u6570\u3002\u7136\u540e\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u6570\u5b66\u7b26\u53f7\u548c\u5411\u91cf\u5fae\u79ef\u5206\u7684\u6982\u5ff5\u6765\u7814\u7a76\u5b83\u5728\u4f53\u79ef\u548c\u66f2\u9762\u79ef\u5206\u4e2d\u7684\u5e94\u7528\u3002<\/mark><\/p>\n<h2 class=\"wp-block-heading\">\u5b9e\u8d28\u5bfc\u6570<\/h2>\n<figure class=\"wp-block-embed aligncenter is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n<p><div class=\"youtube-embed\" data-video_id=\"xlxK0VuY9yY\"><iframe loading=\"lazy\" title=\"The Material Derivative | Fluid Mechanics\" width=\"640\" height=\"360\" data-src=\"https:\/\/www.youtube.com\/embed\/xlxK0VuY9yY?feature=oembed&#038;enablejsapi=1\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe><\/div>\n<figcaption class=\"wp-element-caption\"><strong><em><mark class=\"has-inline-color has-light-green-cyan-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u7269\u8d28\u884d\u751f\u7269<\/mark><\/em><\/strong><\/figcaption><\/figure>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5bfc\u6570 D\/Dt\uff0c\u4e5f\u79f0\u4e3a\u6750\u6599\u65f6\u95f4\u5bfc\u6570\uff0c\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u56fa\u5b9a\u6750\u6599\u70b9\u7684\u91cf B \u7684\u65f6\u95f4\u5bfc\u6570\u3002\u6750\u6599\u70b9\u901a\u5e38\u7531 t = 0 \u65f6\u7684\u521d\u59cb\u4f4d\u7f6e\u77e2\u91cf\u5b9a\u4e49\u3002\u6750\u6599\u70b9\u5728\u4efb\u610f\u65f6\u95f4 t &gt; 0 \u7684\u4f4d\u7f6e\u77e2\u91cf\u7531\u4ee5\u4e0b\u516c\u5f0f\u7ed9\u51fa\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21912 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?resize=329%2C87&amp;ssl=1\" data-sizes=\"auto, (max-width: 329px) 100vw, 329px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?w=329&amp;ssl=1 329w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?resize=300%2C79&amp;ssl=1 300w\" alt=\"\" width=\"329\" height=\"87\" data-attachment-id=\"21912\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-22-9\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?fit=329%2C87&amp;ssl=1\" data-orig-size=\"329,87\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-22\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?fit=300%2C79&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?fit=329%2C87&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 329px; --smush-placeholder-aspect-ratio: 329\/87;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21912\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?resize=329%2C87&amp;ssl=1\" sizes=\"auto, (max-width: 329px) 100vw, 329px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?w=329&amp;ssl=1 329w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?resize=300%2C79&amp;ssl=1 300w\" alt=\"\" width=\"329\" height=\"87\" data-attachment-id=\"21912\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-22-9\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?fit=329%2C87&amp;ssl=1\" data-orig-size=\"329,87\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-22\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?fit=300%2C79&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-22.png?fit=329%2C87&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u4e3a\u4efb\u610f\u6750\u6599\u70b9 x0 \u5b9a\u4e49\u7684\u4efb\u4f55\u6d41\u52a8\u53d8\u91cf\u5c06\u7531 B\uff08x<sub>0<\/sub>,t).<br \/>\u56e0\u6b64\uff0c\u76f8\u5e94\u7684\u7a7a\u95f4\u63cf\u8ff0\u5c06\u662f B[x(x<sub>0<\/sub>,t),t].<br \/>\u6839\u636e\u4e0a\u8ff0\u63cf\u8ff0\uff0c\u6211\u4eec\u53ef\u4ee5\u8bf4\u6709\u4e24\u79cd\u65f6\u95f4\u5bfc\u6570\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21914 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?resize=352%2C88&amp;ssl=1\" data-sizes=\"auto, (max-width: 352px) 100vw, 352px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?w=352&amp;ssl=1 352w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?resize=300%2C75&amp;ssl=1 300w\" alt=\"\" width=\"352\" height=\"88\" data-attachment-id=\"21914\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-23-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?fit=352%2C88&amp;ssl=1\" data-orig-size=\"352,88\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-23\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?fit=300%2C75&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?fit=352%2C88&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 352px; --smush-placeholder-aspect-ratio: 352\/88;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21914\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?resize=352%2C88&amp;ssl=1\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?w=352&amp;ssl=1 352w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?resize=300%2C75&amp;ssl=1 300w\" alt=\"\" width=\"352\" height=\"88\" data-attachment-id=\"21914\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-23-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?fit=352%2C88&amp;ssl=1\" data-orig-size=\"352,88\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-23\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?fit=300%2C75&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-23.png?fit=352%2C88&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u8fd9\u4e24\u79cd\u5bfc\u6570\u4e4b\u95f4\u7684\u5173\u7cfb\u53ef\u4ee5\u901a\u8fc7\u94fe\u5f0f\u6cd5\u5219\u5f97\u5230\uff1a<br \/><\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21916 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?resize=472%2C204&amp;ssl=1\" data-sizes=\"auto, (max-width: 472px) 100vw, 472px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?w=472&amp;ssl=1 472w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?resize=300%2C130&amp;ssl=1 300w\" alt=\"\" width=\"472\" height=\"204\" data-attachment-id=\"21916\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-24-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?fit=472%2C204&amp;ssl=1\" data-orig-size=\"472,204\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-24\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?fit=300%2C130&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?fit=472%2C204&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 472px; --smush-placeholder-aspect-ratio: 472\/204;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21916\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?resize=472%2C204&amp;ssl=1\" sizes=\"auto, (max-width: 472px) 100vw, 472px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?w=472&amp;ssl=1 472w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?resize=300%2C130&amp;ssl=1 300w\" alt=\"\" width=\"472\" height=\"204\" data-attachment-id=\"21916\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-24-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?fit=472%2C204&amp;ssl=1\" data-orig-size=\"472,204\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-24\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?fit=300%2C130&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-24.png?fit=472%2C204&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5728\u56fa\u5b9a\u7a7a\u95f4\u4f4d\u7f6e\u4e0a\u7684\u65f6\u95f4\u5bfc\u6570\u79f0\u4e3a\u6b27\u62c9\u65f6\u95f4\u5bfc\u6570\uff0c\u5728\u56fa\u5b9a\u7269\u8d28\u70b9\u4e0a\u7684\u65f6\u95f4\u5bfc\u6570\u79f0\u4e3a\u62c9\u683c\u6717\u65e5\u65f6\u95f4\u5bfc\u6570\u3002<\/mark><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u73b0\u5728\u6765\u8c08\u8c08\u4f53\u79ef\u79ef\u5206\u7684\u7269\u8d28\u5bfc\u6570\uff0c\u5373\u96f7\u8bfa\u8f93\u8fd0\u5b9a\u7406\uff08Reynolds Transport Theorem\uff09\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21918 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?resize=539%2C92&amp;ssl=1\" data-sizes=\"auto, (max-width: 539px) 100vw, 539px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?w=539&amp;ssl=1 539w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?resize=300%2C51&amp;ssl=1 300w\" alt=\"\" width=\"539\" height=\"92\" data-attachment-id=\"21918\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-25-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?fit=539%2C92&amp;ssl=1\" data-orig-size=\"539,92\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-25\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?fit=300%2C51&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?fit=539%2C92&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 539px; --smush-placeholder-aspect-ratio: 539\/92;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21918\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?resize=539%2C92&amp;ssl=1\" sizes=\"auto, (max-width: 539px) 100vw, 539px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?w=539&amp;ssl=1 539w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?resize=300%2C51&amp;ssl=1 300w\" alt=\"\" width=\"539\" height=\"92\" data-attachment-id=\"21918\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-25-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?fit=539%2C92&amp;ssl=1\" data-orig-size=\"539,92\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-25\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?fit=300%2C51&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-25.png?fit=539%2C92&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5f53\u79ef\u5206\u672c\u8eab\u7684\u6781\u9650\u4e0e\u65f6\u95f4\u6709\u5173\u65f6\uff0c\u4e0a\u8ff0\u5b9a\u7406\u53ea\u4e0d\u8fc7\u662f\u83b1\u5e03\u5c3c\u8328\u5fae\u5206\u6cd5\u5219\u7684\u6269\u5c55\u3002<\/mark><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5c06\u5bfc\u6570\u7684\u901a\u5e38\u5b9a\u4e49\uff0c\u5373 &#8220;delta t &#8220;\u8d8b\u4e8e 0 \u7684\u6781\u9650\uff0c\u5e94\u7528\u4e8e\u4e0a\u5f0f\u7684\u5de6\u4fa7\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21920 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?resize=650%2C85&amp;ssl=1\" data-sizes=\"auto, (max-width: 650px) 100vw, 650px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?w=784&amp;ssl=1 784w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?resize=300%2C39&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?resize=768%2C100&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"85\" data-attachment-id=\"21920\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-26-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?fit=784%2C102&amp;ssl=1\" data-orig-size=\"784,102\" data-comments-opened=\"1\" 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data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-26\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?fit=300%2C39&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-26.png?fit=650%2C85&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u73b0\u5728\u6211\u4eec\u5728\u4e0a\u5f0f\u4e2d\u52a0\u4e0a\u5e76\u51cf\u53bb\u4ee5\u4e0b\u9879\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21922 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-27.png?resize=177%2C78&amp;ssl=1\" alt=\"\" width=\"177\" height=\"78\" data-attachment-id=\"21922\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-27-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-27.png?fit=177%2C78&amp;ssl=1\" data-orig-size=\"177,78\" data-comments-opened=\"1\" 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data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-27.png?fit=177%2C78&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-27.png?fit=177%2C78&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><strong><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u65b9\u7a0b\u5c31\u53d8\u6210\u4e86<\/mark><\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21924 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-28.png?resize=650%2C136&amp;ssl=1\" data-sizes=\"auto, (max-width: 650px) 100vw, 650px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-28.png?w=742&amp;ssl=1 742w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-28.png?resize=300%2C63&amp;ssl=1 300w\" alt=\"\" width=\"650\" height=\"136\" data-attachment-id=\"21924\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-28-10\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-28.png?fit=742%2C155&amp;ssl=1\" data-orig-size=\"742,155\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-28\" data-image-description=\"\" 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data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-28.png?fit=650%2C136&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u7b2c\u4e8c\u9879\u5c31\u662f<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21926 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?resize=365%2C95&amp;ssl=1\" data-sizes=\"auto, (max-width: 365px) 100vw, 365px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?w=365&amp;ssl=1 365w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?resize=300%2C78&amp;ssl=1 300w\" alt=\"\" width=\"365\" height=\"95\" data-attachment-id=\"21926\" 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data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?fit=365%2C95&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 365px; --smush-placeholder-aspect-ratio: 365\/95;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21926\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?resize=365%2C95&amp;ssl=1\" sizes=\"auto, (max-width: 365px) 100vw, 365px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?w=365&amp;ssl=1 365w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?resize=300%2C78&amp;ssl=1 300w\" alt=\"\" width=\"365\" height=\"95\" data-attachment-id=\"21926\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-29-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?fit=365%2C95&amp;ssl=1\" data-orig-size=\"365,95\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-29\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?fit=300%2C78&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-29.png?fit=365%2C95&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u800c <strong>\u7b2c\u4e00\u5b66\u671f<\/strong> \u53ef\u6539\u5199\u4e3a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21928 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?resize=372%2C92&amp;ssl=1\" data-sizes=\"auto, (max-width: 372px) 100vw, 372px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?w=372&amp;ssl=1 372w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?resize=300%2C74&amp;ssl=1 300w\" alt=\"\" width=\"372\" height=\"92\" data-attachment-id=\"21928\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-30-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?fit=372%2C92&amp;ssl=1\" data-orig-size=\"372,92\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-30\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?fit=300%2C74&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?fit=372%2C92&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 372px; --smush-placeholder-aspect-ratio: 372\/92;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21928\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?resize=372%2C92&amp;ssl=1\" sizes=\"auto, (max-width: 372px) 100vw, 372px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?w=372&amp;ssl=1 372w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?resize=300%2C74&amp;ssl=1 300w\" alt=\"\" width=\"372\" height=\"92\" data-attachment-id=\"21928\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-30-8\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?fit=372%2C92&amp;ssl=1\" data-orig-size=\"372,92\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-30\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?fit=300%2C74&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-30.png?fit=372%2C92&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u8fd9\u8868\u660e\u5b83\u662f B<\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u4e3a\u4e86\u6c42\u51fa\u4e0a\u8ff0\u79ef\u5206\uff0c\u4efb\u4f55\u5fae\u5206\u5143\u7d20 dA<sub>m<\/sub> \u7684 V<sub>m<\/sub>(t\uff09\u5c06\u79fb\u52a8\u4e00\u6bb5\u8ddd\u79bb\uff08u.n\uff09 \u03b4t.dA<sub>m<\/sub> \u5728\u65f6\u95f4\u95f4\u9694 \u03b4t \u5185\u3002\u56e0\u6b64\uff0c\u4e0a\u8ff0\u5bf9 V<sub>m<\/sub>(t+\u03b4t) &#8211; V<sub>m<\/sub>(t\uff09\u5c06\u8f6c\u6362\u4e3a<br \/><\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21931 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?resize=618%2C153&amp;ssl=1\" data-sizes=\"auto, (max-width: 618px) 100vw, 618px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?w=618&amp;ssl=1 618w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?resize=300%2C74&amp;ssl=1 300w\" alt=\"\" width=\"618\" height=\"153\" data-attachment-id=\"21931\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-31-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?fit=618%2C153&amp;ssl=1\" data-orig-size=\"618,153\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-31\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?fit=300%2C74&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?fit=618%2C153&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 618px; --smush-placeholder-aspect-ratio: 618\/153;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21931\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?resize=618%2C153&amp;ssl=1\" sizes=\"auto, (max-width: 618px) 100vw, 618px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?w=618&amp;ssl=1 618w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?resize=300%2C74&amp;ssl=1 300w\" alt=\"\" width=\"618\" height=\"153\" data-attachment-id=\"21931\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-31-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?fit=618%2C153&amp;ssl=1\" data-orig-size=\"618,153\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-31\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?fit=300%2C74&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-31.png?fit=618%2C153&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5176\u4e2d A<sub>m<\/sub><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u56e0\u6b64 <strong>\u96f7\u8bfa\u8f93\u8fd0\u5b9a\u7406<\/strong> \u5c06\u662f<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21933 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?resize=568%2C87&amp;ssl=1\" data-sizes=\"auto, (max-width: 568px) 100vw, 568px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?w=568&amp;ssl=1 568w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?resize=300%2C46&amp;ssl=1 300w\" alt=\"\" width=\"568\" height=\"87\" data-attachment-id=\"21933\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-32-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?fit=568%2C87&amp;ssl=1\" data-orig-size=\"568,87\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-32\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?fit=300%2C46&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?fit=568%2C87&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 568px; --smush-placeholder-aspect-ratio: 568\/87;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21933\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?resize=568%2C87&amp;ssl=1\" sizes=\"auto, (max-width: 568px) 100vw, 568px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?w=568&amp;ssl=1 568w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?resize=300%2C46&amp;ssl=1 300w\" alt=\"\" width=\"568\" height=\"87\" data-attachment-id=\"21933\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-32-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?fit=568%2C87&amp;ssl=1\" data-orig-size=\"568,87\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-32\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?fit=300%2C46&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-32.png?fit=568%2C87&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u518d\u8fdb\u4e00\u6b65\uff0c\u5e94\u7528\u9ad8\u65af\u53d1\u6563\u5b9a\u7406\u5bf9\u4e0a\u5f0f\u53f3\u8fb9\u7684\u9762\u79ef\u79ef\u5206\u8fdb\u884c\u8fd0\u7b97\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u6211\u4eec\u719f\u6089\u7684\u4e0a\u5f0f\u7b49\u4ef7\u5fae\u5206\u5f62\u5f0f\u3002<\/mark><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u8ba9\u6211\u4eec\u4ee5\u4e00\u4e2a\u7b80\u5355\u7684\u5e94\u7528\u4e3a\u4f8b\uff0c\u7528\u5bc6\u5ea6 \u03c1(x ,t) \u4ee3\u66ff\u6d41\u52a8\u53d8\u91cf B(x,t)\u3002\u7136\u540e\uff0c\u6211\u4eec\u5e94\u7528\u9ad8\u65af\u53d1\u6563\u5b9a\u7406\u5f97\u5230\u8d28\u91cf\u5b88\u6052\u7684\u6700\u7ec8\u5fae\u5206\u5f62\u5f0f\uff1a<br \/><\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21935 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?resize=388%2C94&amp;ssl=1\" data-sizes=\"auto, (max-width: 388px) 100vw, 388px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?w=388&amp;ssl=1 388w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?resize=300%2C73&amp;ssl=1 300w\" alt=\"\" width=\"388\" height=\"94\" data-attachment-id=\"21935\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-33-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?fit=388%2C94&amp;ssl=1\" data-orig-size=\"388,94\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-33\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?fit=300%2C73&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?fit=388%2C94&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 388px; --smush-placeholder-aspect-ratio: 388\/94;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21935\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?resize=388%2C94&amp;ssl=1\" sizes=\"auto, (max-width: 388px) 100vw, 388px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?w=388&amp;ssl=1 388w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?resize=300%2C73&amp;ssl=1 300w\" alt=\"\" width=\"388\" height=\"94\" data-attachment-id=\"21935\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-33-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?fit=388%2C94&amp;ssl=1\" data-orig-size=\"388,94\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-33\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?fit=300%2C73&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-33.png?fit=388%2C94&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\">\u8868\u9762\u79ef\u5206\u7684\u7269\u8d28\u5bfc\u6570\uff1a<\/h2>\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n<p><div class=\"youtube-embed\" data-video_id=\"p7qFS9umcx8\"><iframe loading=\"lazy\" title=\"Fluid Mechanics: Topic 10.2  - The material derivative\" width=\"640\" height=\"360\" data-src=\"https:\/\/www.youtube.com\/embed\/p7qFS9umcx8?feature=oembed&#038;enablejsapi=1\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe><\/div>\n<figcaption class=\"wp-element-caption\"><strong><em><mark class=\"has-inline-color has-light-green-cyan-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u8868\u9762\u79ef\u5206\u7684\u7269\u8d28\u5bfc\u6570<\/mark><\/em><\/strong><\/figcaption><\/figure>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u5e94\u7528\u4e0a\u6587\u9488\u5bf9\u4f53\u79ef\u79ef\u5206\u7684\u7269\u8d28\u5bfc\u6570\u6240\u63d0\u51fa\u7684\u76f8\u540c\u6982\u5ff5\uff0c\u6765\u6c42\u5f97\u4e24\u79cd\u4ecb\u8d28\u754c\u9762\u4e0a\u8868\u9762\u6d3b\u6027\u5242\u6d53\u5ea6\u6269\u6563\u65b9\u7a0b\u7684\u63a7\u5236\u65b9\u7a0b\u3002<br \/>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u8868\u9762\u6d3b\u6027\u5242\u6d53\u5ea6\u5728\u6750\u6599\u8868\u9762\u79ef\u4e0a\u7684\u5b88\u6052\u539f\u7406\uff0c\u5047\u5b9a\u6ca1\u6709\u4efb\u4f55\u6e90\u6216\u6c47\uff0c\u65e0\u8bba\u662f\u7531\u4e8e\u5316\u5b66\u53cd\u5e94\u8fd8\u662f\u6d41\u5165\u6216\u6d41\u51fa\u5468\u56f4\u4f53\u76f8\u6db2\u4f53\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u5f97\u5230<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21937 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?resize=241%2C107&amp;ssl=1\" alt=\"\" width=\"241\" height=\"107\" data-attachment-id=\"21937\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-34-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?fit=241%2C107&amp;ssl=1\" data-orig-size=\"241,107\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-34\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?fit=241%2C107&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?fit=241%2C107&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 241px; --smush-placeholder-aspect-ratio: 241\/107;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21937\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?resize=241%2C107&amp;ssl=1\" alt=\"\" width=\"241\" height=\"107\" data-attachment-id=\"21937\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-34-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?fit=241%2C107&amp;ssl=1\" data-orig-size=\"241,107\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-34\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?fit=241%2C107&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-34.png?fit=241%2C107&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5176\u4e2d <strong>D\/Dt<\/strong> \u662f\u754c\u9762\u4e0a\u5404\u70b9\u7684\u6750\u6599\u5bfc\u6570\uff0cS<sub>m<\/sub><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u540c\u6837\uff0c\u6309\u7167\u4e0a\u8ff0\u6750\u6599\u4f53\u79ef\u96f7\u8bfa\u8f93\u8fd0\u5b9a\u7406\u90e8\u5206\u6240\u8ff0\u7684\u76f8\u540c\u6b65\u9aa4\uff0c\u5e76\u6ce8\u610f\u7528\u8868\u9762\u79ef\u5206\u4ee3\u66ff\u4f53\u79ef\u79ef\u5206\uff0c\u7528\u7b49\u503c\u7ebf\u79ef\u5206\u4ee3\u66ff\u8868\u9762\u79ef\u5206\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5f97\u5230\u4e24\u79cd\u4ecb\u8d28\u754c\u9762\u4e0a\u7684\u8868\u9762\u6d3b\u6027\u5242\u6d53\u5ea6\u6269\u6563\u65b9\u7a0b\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21940 lazyload\" style=\"--smush-placeholder-width: 650px; --smush-placeholder-aspect-ratio: 650\/604;width: 549px; height: auto;\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?resize=650%2C604&amp;ssl=1\" data-sizes=\"auto, (max-width: 650px) 100vw, 650px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?w=853&amp;ssl=1 853w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?resize=300%2C279&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?resize=768%2C713&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"604\" data-attachment-id=\"21940\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-35-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?fit=853%2C792&amp;ssl=1\" data-orig-size=\"853,792\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-35\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?fit=300%2C279&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?fit=650%2C604&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21940\" style=\"width: 549px; height: auto;\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?resize=650%2C604&amp;ssl=1\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?w=853&amp;ssl=1 853w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?resize=300%2C279&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?resize=768%2C713&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"604\" data-attachment-id=\"21940\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-35-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?fit=853%2C792&amp;ssl=1\" data-orig-size=\"853,792\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-35\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?fit=300%2C279&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-35.png?fit=650%2C604&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5f0f\u4e2d u = \u8868\u9762\u6d3b\u6027\u5242\u7c92\u5b50\u6cbf\u754c\u9762\u8868\u9762\u7684\u901f\u5ea6<br \/>\u0393 = \u8868\u9762\u6d3b\u6027\u5242\u5728\u754c\u9762\u4e0a\u7684\u6d53\u5ea6<br \/>n<sub>c <\/sub>= \u8868\u9762\u5143\u7d20\u8f6e\u5ed3\u7684\u5355\u4f4d\u6cd5\u5411\u91cf<br \/>n<sub>t<\/sub> = \u4e0e\u8868\u9762\u5143\u7d20\u8f6e\u5ed3\u76f8\u5207\u7684\u5355\u4f4d\u77e2\u91cf<br \/>n = \u5e73\u884c\u4e8e\u754c\u9762\u8868\u9762\u7684\u5355\u4f4d\u77e2\u91cf<br \/>C<sub>m<\/sub><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u73b0\u5728 n<sub>c<\/sub> \u53ef\u6539\u5199\u4e3a n<sub>c<\/sub> = n<sub>t<\/sub> x n.<\/mark><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u56e0\u6b64\uff0c\u4e0a\u5f0f\u53f3\u8fb9\u7684\u7b2c\u4e8c\u9879\u53ef\u4ee5\u6539\u5199\u4e3a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21942 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?resize=650%2C237&amp;ssl=1\" data-sizes=\"auto, (max-width: 650px) 100vw, 650px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?w=846&amp;ssl=1 846w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?resize=300%2C109&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?resize=768%2C280&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"237\" data-attachment-id=\"21942\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-36-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?fit=846%2C308&amp;ssl=1\" data-orig-size=\"846,308\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-36\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?fit=300%2C109&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?fit=650%2C237&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 650px; --smush-placeholder-aspect-ratio: 650\/237;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21942\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?resize=650%2C237&amp;ssl=1\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?w=846&amp;ssl=1 846w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?resize=300%2C109&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?resize=768%2C280&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"237\" data-attachment-id=\"21942\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-36-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?fit=846%2C308&amp;ssl=1\" data-orig-size=\"846,308\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-36\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?fit=300%2C109&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-36.png?fit=650%2C237&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5176\u4e2d\uff0cdl = \u6cbf\u8868\u9762\u5143\u7d20\u8f6e\u5ed3\u7684\u5143\u7d20\u5207\u5411\u77e2\u91cf\u3002<\/mark><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u79ef\u5206\u5185\u7684\u79ef\u5206\u9879\u5b9e\u8d28\u4e0a\u662f\u4e09\u4e2a\u5411\u91cf \u0393u\u3001dl \u548c n \u7684\u6807\u91cf\u4e09\u4e58\u79ef\uff0c\u5373 [\u0393u dl n].<\/mark><\/p>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5229\u7528\u6807\u91cf\u4e09\u4e58\u79ef\u7684\u6027\u8d28\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21945 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?resize=650%2C205&amp;ssl=1\" data-sizes=\"auto, (max-width: 650px) 100vw, 650px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?w=842&amp;ssl=1 842w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?resize=300%2C95&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?resize=768%2C243&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"205\" data-attachment-id=\"21945\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-37-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?fit=842%2C266&amp;ssl=1\" data-orig-size=\"842,266\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-37\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?fit=300%2C95&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?fit=650%2C205&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 650px; --smush-placeholder-aspect-ratio: 650\/205;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21945\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?resize=650%2C205&amp;ssl=1\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?w=842&amp;ssl=1 842w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?resize=300%2C95&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?resize=768%2C243&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"205\" data-attachment-id=\"21945\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-37-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?fit=842%2C266&amp;ssl=1\" data-orig-size=\"842,266\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-37\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?fit=300%2C95&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-37.png?fit=650%2C205&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 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data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-39.png?w=856&amp;ssl=1 856w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-39.png?resize=300%2C65&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-39.png?resize=768%2C166&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"140\" data-attachment-id=\"21949\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-39-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-39.png?fit=856%2C185&amp;ssl=1\" data-orig-size=\"856,185\" data-comments-opened=\"1\" 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data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-39\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-39.png?fit=300%2C65&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-39.png?fit=650%2C140&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u754c\u9762\u5e73\u9762\u4e0a\u5b9a\u4e49\u4e00\u4e2a\u65b0\u7684\u7b97\u5b50\uff1a<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21950 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-40.png?resize=252%2C61&amp;ssl=1\" alt=\"\" width=\"252\" height=\"61\" data-attachment-id=\"21950\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-40-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-40.png?fit=252%2C61&amp;ssl=1\" data-orig-size=\"252,61\" data-comments-opened=\"1\" 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data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-40.png?fit=252%2C61&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-40.png?fit=252%2C61&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u8868\u9762\u79ef\u5206\u7684\u6750\u6599\u5bfc\u6570\u53f3\u4fa7\u7684\u7b49\u9ad8\u7ebf\u79ef\u5206\u53ef\u4ee5\u5199\u6210<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21952 lazyload\" style=\"--smush-placeholder-width: 650px; --smush-placeholder-aspect-ratio: 650\/449;width: 596px; height: auto;\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?resize=650%2C449&amp;ssl=1\" data-sizes=\"auto, (max-width: 650px) 100vw, 650px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?w=852&amp;ssl=1 852w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?resize=300%2C207&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?resize=768%2C531&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"449\" data-attachment-id=\"21952\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-41-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?fit=852%2C589&amp;ssl=1\" data-orig-size=\"852,589\" data-comments-opened=\"1\" 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src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?resize=650%2C449&amp;ssl=1\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?w=852&amp;ssl=1 852w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?resize=300%2C207&amp;ssl=1 300w, https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?resize=768%2C531&amp;ssl=1 768w\" alt=\"\" width=\"650\" height=\"449\" data-attachment-id=\"21952\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-41-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?fit=852%2C589&amp;ssl=1\" data-orig-size=\"852,589\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-41\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?fit=300%2C207&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-41.png?fit=650%2C449&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 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data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-42\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-42.png?fit=286%2C125&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-42.png?fit=286%2C125&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 286px; --smush-placeholder-aspect-ratio: 286\/125;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" 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data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-43.png?fit=417%2C108&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u90a3\u4e48\uff0c\u5dee\u5206\u5f62\u5f0f\u5c31\u662f<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21956 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-44.png?resize=278%2C95&amp;ssl=1\" alt=\"\" width=\"278\" height=\"95\" data-attachment-id=\"21956\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-44-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-44.png?fit=278%2C95&amp;ssl=1\" data-orig-size=\"278,95\" 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loading=\"lazy\" decoding=\"async\" class=\"wp-image-21956\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-44.png?resize=278%2C95&amp;ssl=1\" alt=\"\" width=\"278\" height=\"95\" data-attachment-id=\"21956\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-44-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-44.png?fit=278%2C95&amp;ssl=1\" data-orig-size=\"278,95\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-44\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-44.png?fit=278%2C95&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-44.png?fit=278%2C95&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5176\u4e2d<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21958 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-45.png?resize=262%2C78&amp;ssl=1\" alt=\"\" width=\"262\" height=\"78\" data-attachment-id=\"21958\" 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data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-45.png?fit=262%2C78&amp;ssl=1\" data-recalc-dims=\"1\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 262px; --smush-placeholder-aspect-ratio: 262\/78;\" \/><noscript><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21958\" src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-45.png?resize=262%2C78&amp;ssl=1\" alt=\"\" width=\"262\" height=\"78\" data-attachment-id=\"21958\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-45-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-45.png?fit=262%2C78&amp;ssl=1\" data-orig-size=\"262,78\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image-45\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-45.png?fit=262%2C78&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-45.png?fit=262%2C78&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u5982\u679c\u6211\u4eec\u5c06\u8868\u9762\u6d3b\u6027\u5242\u7684\u901f\u5ea6\u6cbf\u4e24\u4e2a\u76f8\u4e92\u5782\u76f4\u7684\u65b9\u5411\uff08\u5373\u6cbf\u754c\u9762\u8868\u9762\u548c\u5782\u76f4\u4e8e\u754c\u9762\u8868\u9762\uff09\u8fdb\u884c\u5206\u89e3\uff0c\u6211\u4eec\u5c06\u5f97\u5230<\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21959 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-46.png?resize=234%2C53&amp;ssl=1\" alt=\"\" width=\"234\" height=\"53\" data-attachment-id=\"21959\" data-permalink=\"https:\/\/cfdisraelblog.com\/2024\/03\/13\/mathematical-analysis-of-material-derivative-of-volume-and-surface-integrals\/image-46-7\/\" data-orig-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-46.png?fit=234%2C53&amp;ssl=1\" data-orig-size=\"234,53\" data-comments-opened=\"1\" 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data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-46.png?fit=234%2C53&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-46.png?fit=234%2C53&amp;ssl=1\" data-recalc-dims=\"1\"\/><\/noscript><\/figure>\n<\/div>\n<p><mark class=\"has-inline-color has-white-color\" style=\"background-color: rgba(0, 0, 0, 0);\">\u56e0\u6b64\uff0c\u4e0a\u8ff0\u5fae\u5206\u65b9\u7a0b\u53d8\u4e3a<br \/><\/mark><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-21962 lazyload\" data-src=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-47.png?resize=492%2C101&amp;ssl=1\" data-sizes=\"auto, (max-width: 492px) 100vw, 492px\" data-srcset=\"https:\/\/i0.wp.com\/cfdisraelblog.com\/wp-content\/uploads\/2024\/03\/image-47.png?w=492&amp;ssl=1 492w, 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