{"id":61,"date":"2024-08-04T08:41:39","date_gmt":"2024-08-04T08:41:39","guid":{"rendered":"https:\/\/scienceofquantity.com\/index.php\/2024\/08\/04\/ellipse-visualization-s-0-75\/"},"modified":"2024-08-04T08:41:39","modified_gmt":"2024-08-04T08:41:39","slug":"ellipse-visualization-s-0-75","status":"publish","type":"post","link":"https:\/\/scienceofquantity.com\/index.php\/2024\/08\/04\/ellipse-visualization-s-0-75\/","title":{"rendered":"Ellipse Visualization (s = 0.75)"},"content":{"rendered":"<body><p><\/p>\n<p>This is the ellipse visualization for s = 0.75.<\/p>\n<p><img decoding=\"async\" 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