{"id":352,"date":"2025-12-29T15:58:51","date_gmt":"2025-12-29T07:58:51","guid":{"rendered":"https:\/\/www.math.ntnu.edu.tw\/coidap\/?p=352"},"modified":"2026-01-05T14:12:19","modified_gmt":"2026-01-05T06:12:19","slug":"%e5%b0%88%e9%a1%8c%e6%bc%94%e8%ac%9b-%e3%80%9012%e6%9c%8817%e6%97%a5%e3%80%91daniel-spector-the-calculus-of-variations-according-to-ai-by-prompts-and-refinements","status":"publish","type":"post","link":"https:\/\/www.math.ntnu.edu.tw\/coidap\/2025\/12\/29\/%e5%b0%88%e9%a1%8c%e6%bc%94%e8%ac%9b-%e3%80%9012%e6%9c%8817%e6%97%a5%e3%80%91daniel-spector-the-calculus-of-variations-according-to-ai-by-prompts-and-refinements\/","title":{"rendered":"[\u5c08\u984c\u6f14\u8b1b] <\/span>\u301012\u670817\u65e5\u3011Daniel Spector \/ The Calculus of Variations according to AI by prompts and refinements"},"content":{"rendered":"\t\t
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The Calculus of Variations according to AI by prompts and refinements<\/h3>\t\t\t\t<\/div>\n\t\t\t\t
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Time:<\/span> Dec. 17<\/span><\/strong> (Wed.) 14:20-15:10
<\/span>Venue: M212, Gongguan Campus, NTNU<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t

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Prof. Daniel Spector
\u53f8\u9748\u5f97\u6559\u6388<\/div>

Department of Mathematics, NTNU<\/h4><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
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The slides for this talk were generated using Gamma by the prompt \u201cI want a presentation about the history of the calculus of variations that includes the story of Dido, the contributions of the Bernoullis and Newton, of Euler, Lagrange, Riemann, Weierstrass, Hilbert, Noether, and the direct method of Tonelli. I want details about the need for function spaces for the trace in regard to Hilbert\u2019s mistake, about the additional Euler-Lagrange equations found by Noether, and about Tonelli\u2019s direct method.\u201d Further refinements were then made by prompting Gamma to modify slides. In this talk we use these slides and prompts as a basis for a parallel discussion about the important points of the Calculus of Variations and AI\u2019s ability to understand relevance. A full list of refinement prompts is presented at the end.<\/p>

More Information:\u00a0https:\/\/web.ntnu.edu.tw\/~spectda\/<\/a><\/p>

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The Calculus of Variations according to AI by prompts a […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[36,6],"tags":[],"class_list":["post-352","post","type-post","status-publish","format-standard","hentry","category-activity","category-news","entry"],"_links":{"self":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts\/352","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/comments?post=352"}],"version-history":[{"count":7,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts\/352\/revisions"}],"predecessor-version":[{"id":415,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/posts\/352\/revisions\/415"}],"wp:attachment":[{"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/media?parent=352"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/categories?post=352"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.ntnu.edu.tw\/coidap\/wp-json\/wp\/v2\/tags?post=352"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}