{"version":9,"randomSeed":"cf8911a9506c02e7570f400ed3243793","graph":{"viewport":{"xmin":-4.999999999999998,"ymin":-4.027519212524219,"xmax":5.000000000000002,"ymax":4.0275192125242265}},"expressions":{"list":[{"type":"text","id":"99","text":"expanded upon https://www.desmos.com/calculator/ubbvqlefyd"},{"type":"text","id":"102","text":"see CP931 and its successor CP933"},{"type":"expression","id":"103","color":"#6042a6","latex":"P_{Rn}\\left(v\\right)=-\\frac{v.x}{v.y-1}"},{"type":"expression","id":"110","color":"#c74440","latex":"P_{R}\\left(v\\right)=\\left(\\operatorname{distance}\\left(\\left(0,0\\right),v\\right),P_{Rn}\\left(\\frac{v}{\\operatorname{distance}\\left(\\left(0,0\\right),v\\right)}\\right)\\right)"},{"type":"expression","id":"112","color":"#000000","latex":"x\\le x+1","lines":false,"labelSize":"medium","fillOpacity":"1"},{"type":"expression","id":"113","color":"#c74440","latex":"\\left|P_{R}\\left(\\left(x,y\\right)\\right).y\\right|\\ge\\left[0,0.1,...20\\right]","lines":false,"fillOpacity":"0.05"},{"type":"expression","id":"107","color":"#388c46","latex":"P_{R}\\left(\\left(x,y\\right)\\right).x\\ge\\left[0,0.2,...5\\right]","lines":false,"fillOpacity":"0.03"},{"type":"expression","id":"108","color":"#c74440","latex":"P_{R}\\left(\\left(x,y\\right)\\right).y\\ge\\left[0,0.8,...20\\right]","hidden":true,"lines":false,"fillOpacity":"0.1"},{"type":"expression","id":"109","color":"#c74440","latex":"P_{R}\\left(\\left(x,y\\right)\\right).y\\le\\left[-20,-19.2,...0\\right]","hidden":true,"lines":false,"fillOpacity":"0.1"},{"type":"expression","id":"111","color":"#000000","latex":"P_{R}\\left(\\left(\\sqrt{2},\\sqrt{2}\\right)\\right).y"}]}}