{"id":60,"date":"2024-08-04T08:41:37","date_gmt":"2024-08-04T08:41:37","guid":{"rendered":"https:\/\/scienceofquantity.com\/index.php\/2024\/08\/04\/ellipse-visualization-s-0-50\/"},"modified":"2024-08-04T08:41:37","modified_gmt":"2024-08-04T08:41:37","slug":"ellipse-visualization-s-0-50","status":"publish","type":"post","link":"https:\/\/scienceofquantity.com\/index.php\/2024\/08\/04\/ellipse-visualization-s-0-50\/","title":{"rendered":"Ellipse Visualization (s = 0.50)"},"content":{"rendered":"<body><p><\/p>\n<p>This is the ellipse visualization for s = 0.50.<\/p>\n<p><img decoding=\"async\" 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