{"version":9,"randomSeed":"3c9df5a738bebba5eed411bc3b776791","graph":{"viewport":{"xmin":-10,"ymin":-9.723899752096134,"xmax":9.999999999999996,"ymax":9.723899752096134}},"expressions":{"list":[{"type":"expression","id":"1","color":"#c74440","latex":"S_{1}\\left(x,y\\right)=\\left|\\left\\{\\left|x\\right|>\\left|y\\right|:x\\cdot\\left(1+\\frac{\\left(\\frac{y}{x}\\right)^{2}}{2}\\right),y\\cdot\\left(1+\\frac{\\left(\\frac{x}{y}\\right)^{2}}{2}\\right)\\right\\}\\right|","labelSize":"medium"},{"type":"expression","id":"16","color":"#c74440","latex":"S_{2}\\left(x,y\\right)=\\left|\\left\\{\\left|x\\right|>\\left|y\\right|:x\\cdot\\frac{3\\left(\\frac{y}{x}\\right)^{2}+4}{\\left(\\frac{y}{x}\\right)^{2}+4},y\\cdot\\frac{3\\left(\\frac{x}{y}\\right)^{2}+4}{\\left(\\frac{x}{y}\\right)^{2}+4}\\right\\}\\right|"},{"type":"expression","id":"12","color":"#2d70b3","latex":"a=\\left(4.2,1.68\\right)","showLabel":true,"label":"approx: ${m}, exact: ${q}, error: ${b}%","labelSize":"medium","labelOrientation":"above"},{"type":"expression","id":"13","color":"#388c46","latex":"m=S_{2}\\left(a.x,a.y\\right)"},{"type":"expression","id":"14","color":"#6042a6","latex":"q=\\operatorname{distance}\\left(\\left(0,0\\right),a\\right)"},{"type":"expression","id":"15","color":"#000000","latex":"b=100\\left|\\frac{m-q}{q}\\right|"}]}}