{"version":8,"graph":{"viewport":{"xmin":-30.674627909330205,"ymin":-51.03508302155231,"xmax":157.77736233085136,"ymax":79.38953902526399}},"randomSeed":"a6050f9caaf5882949c3f81d5116ef1a","expressions":{"list":[{"type":"text","id":"34","text":"AGM iteration"},{"type":"expression","id":"26","color":"#c74440","latex":"m_{ag}\\left(a\\right)=\\left(\\frac{a.x+a.y}{2},\\sqrt{a.x\\cdot a.y}\\right)"},{"type":"text","id":"36","text":"Multi-iteration variants"},{"type":"expression","id":"27","color":"#2d70b3","latex":"m_{acc}\\left(a\\right)=m_{ag}\\left(m_{ag}\\left(a\\right)\\right)"},{"type":"expression","id":"29","color":"#6042a6","latex":"m_{sp}\\left(a\\right)=m_{acc}\\left(m_{acc}\\left(a\\right)\\right)"},{"type":"text","id":"38","text":"Plot R -> R (one input is constant)"},{"type":"expression","id":"28","color":"#388c46","latex":"y=m_{sp}\\left(\\left(n,x\\right)\\right).x"},{"type":"text","id":"40","text":"The one constant input"},{"type":"expression","id":"30","color":"#000000","latex":"n=6.8"},{"type":"text","id":"42","text":"Geometric mean and arithmetic mean compared"},{"type":"expression","id":"31","color":"#c74440","latex":"\\sqrt{nx}"},{"type":"expression","id":"32","color":"#2d70b3","latex":"\\frac{n+x}{2}"}]}}