{"version":10,"randomSeed":"87c80519e5d73de7c545da744a7d54f4","graph":{"viewport":{"xmin":-5,"ymin":-3.4727436552034856,"xmax":5,"ymax":3.457726385343146}},"expressions":{"list":[{"type":"expression","id":"14","color":"#6042a6","latex":"d=0.0003"},{"type":"expression","id":"1","color":"#c74440","latex":"f\\left(x\\right)=\\sin\\left(x\\right)+0.1\\cos\\left(11x\\right)","hidden":true},{"type":"expression","id":"16","color":"#c74440","latex":"L_{f}=\\left[f\\left(k\\right)\\operatorname{for}k=\\left[0,d,...1\\right]\\right]"},{"type":"expression","id":"6","color":"#c74440","latex":"m_{f}=\\int_{0}^{1}f\\left(x\\right)dx"},{"type":"expression","id":"9","color":"#6042a6","latex":"s_{f}=\\sqrt{\\int_{0}^{1}\\left(f\\left(t\\right)-m_{f}\\right)^{2}dt}"},{"type":"expression","id":"2","color":"#2d70b3","latex":"g\\left(x\\right)=\\cos\\left(2x+2\\right)+0.4","hidden":true},{"type":"expression","id":"17","color":"#2d70b3","latex":"L_{g}=\\left[g\\left(k\\right)\\operatorname{for}k=\\left[0,d,...1\\right]\\right]"},{"type":"expression","id":"7","color":"#2d70b3","latex":"m_{g}=\\int_{0}^{1}g\\left(x\\right)dx"},{"type":"expression","id":"11","color":"#c74440","latex":"s_{g}=\\sqrt{\\int_{0}^{1}\\left(g\\left(t\\right)-m_{g}\\right)^{2}dt}"},{"type":"expression","id":"31","color":"#6042a6","latex":"\\left(f\\left(t\\right),g\\left(t\\right)\\right)","hidden":true},{"type":"expression","id":"4","color":"#6042a6","latex":"\\left(\\frac{f\\left(t\\right)-m_{f}}{s_{f}},\\frac{g\\left(t\\right)-m_{g}}{s_{g}}\\right)"},{"type":"expression","id":"18","color":"#c74440","latex":"\\int_{0}^{1}\\frac{f\\left(u\\right)-m_{f}}{s_{f}}\\cdot\\frac{g\\left(u\\right)-m_{g}}{s_{g}}du"}]}}