{"id":5681,"date":"2025-10-06T16:47:20","date_gmt":"2025-10-06T07:47:20","guid":{"rendered":"https:\/\/aizoth.com\/?post_type=use_case&#038;p=5681"},"modified":"2026-05-27T11:55:22","modified_gmt":"2026-05-27T02:55:22","slug":"contents-e003","status":"publish","type":"use_case","link":"https:\/\/aizoth.com\/en\/use_case\/contents-e003\/","title":{"rendered":"Optimizing Tennis Racket Design for Every Skill Level with Multi-Sigma\u00ae"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link has-black-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/aizoth.com\/en\/blog\/multi-sigma_2025_11_26\/\" style=\"background-color:#ffe200\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>More Details<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\"><strong>This case study shows how Multi-Sigma<sup>\u00ae<\/sup> was used to design high-performance tennis rackets optimized for players at every skill level (advanced, intermediate, and beginner).<\/strong><\/h2>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:30px;text-decoration:underline\">1. Prediction of Tennis Racket Elasticity and Weight\u3000<\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">With Multi-Sigma<sup>\u00ae<\/sup>\u2019s AI prediction feature, we built an AI model that captures the relationship between racket design parameters and performance. Using 191 measured data points, the AI model predicts racket elasticity and weight based on design values (length, area, center of gravity position (G.P.), and thickness).<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"322\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_1-1024x322.png\" alt=\"1. Prediction of Tennis Racket Elasticity and Weight\" class=\"wp-image-7065\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_1-1024x322.png 1024w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_1-300x94.png 300w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:30px;text-decoration:underline\">2. Contribution Analysis for Elasticity and Weight\u3000<\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">With Multi-Sigma<sup>\u00ae<\/sup>\u2019s contribution analysis feature, we identified the factors that contribute positively (or negatively) to the elasticity and weight of tennis rackets. The analysis reveals that thickness and length significantly contribute to elasticity, while thickness and area have a major impact on weight.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"348\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_2-1-1024x348.png\" alt=\"2. Contribution Analysis for Elasticity and Weight\" class=\"wp-image-7064\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_2-1-1024x348.png 1024w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_2-1-300x102.png 300w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_2-1.png 1392w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:30px;text-decoration:underline\">3. Optimization of Tennis Racket Design Values by Skill Level\u3000<\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">With Multi-Sigma<sup>\u00ae<\/sup>\u2019s optimization function, we identified appropriate racket design length, area, center of gravity position, and thickness to achieve ideal elasticity and weight for each skill level.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"323\" src=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_3-1024x323.png\" alt=\"3. Optimization of Tennis Racket Design Values by Skill Level\" class=\"wp-image-7062\" srcset=\"https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_3-1024x323.png 1024w, https:\/\/aizoth.com\/wp-content\/uploads\/2025\/10\/E003_3-300x95.png 300w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-small-font-size wp-block-paragraph\">\uff08Note\uff11\uff09Note: The data used in this analysis was processed and edited based on the data published in the article below, under Creative Commons Zero 1.0 Universal (CC0 1.0) license.<br>Dataset\uff1a https:\/\/www.kaggle.com\/datasets\/leoyuanluo\/tennis-racquets-specs<br>\uff08Note2\uff09Units of Each Value: Elasticity: RA value, Weight: ounces, Length: inches, Area: square inches, Center of gravity position: points (1 point = 1\/8 inch, positive toward the racket tip), Thickness: mm.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50 is-style-outline is-style-outline--2\"><a class=\"wp-block-button__link has-black-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/aizoth.com\/en\/contact\/\" style=\"border-radius:100px;background-color:#ffe200\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Contact Us<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p 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wp-block-paragraph\"><\/p>\n","protected":false},"author":8,"featured_media":0,"menu_order":29,"template":"","meta":{"_acf_changed":false,"_locale":"en_US","_original_post":"","footnotes":""},"use_case_category":[],"class_list":["post-5681","use_case","type-use_case","status-publish","hentry","en-US"],"acf":[],"_links":{"self":[{"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case\/5681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case"}],"about":[{"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/types\/use_case"}],"author":[{"embeddable":true,"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/users\/8"}],"version-history":[{"count":12,"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case\/5681\/revisions"}],"predecessor-version":[{"id":8802,"href":"https:\/\/aizoth.com\/?rest_route=\/wp\/v2\/use_case\/5681\/revisions\/8802"}],"wp:attachment":[{"href":"https:\/\/aizoth.com\/?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5681"}],"wp:term":[{"taxonomy":"use_case_category","embeddable":true,"href":"https:\/\/aizoth.com\/?rest_route=%2Fwp%2Fv2%2Fuse_case_category&post=5681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}