{"version":8,"graph":{"viewport":{"xmin":-7.44667384967949,"ymin":-4.972912819184821,"xmax":8.246624841668156,"ymax":5.901344078406523}},"randomSeed":"cf78c4db6cf326c6b35401eca5670b59","expressions":{"list":[{"type":"expression","id":"117","color":"#6042a6","latex":"s_{0}=\\left[1,1,1,1,1,1,1,1\\right]"},{"type":"expression","id":"119","color":"#c74440","latex":"s_{f}=\\left(s_{0},0\\right)","hidden":true},{"type":"expression","id":"122","color":"#6042a6","latex":"N=s_{f}.\\operatorname{length}"},{"type":"expression","id":"128","color":"#2d70b3","latex":"s_{m}="},{"type":"expression","id":"127","color":"#c74440","latex":"c_{m}="},{"type":"expression","id":"120","color":"#2d70b3","latex":"z=\\left(\\cos\\left(\\frac{2\\pi}{N}\\right),\\sin\\left(\\frac{2\\pi}{N}\\right)\\right)","hidden":true},{"type":"expression","id":"124","color":"#c74440","latex":"t=\\sum_{n=1}^{N}\\left[\\cos\\left(\\frac{\\operatorname{floor}\\left(m\\right)n2\\pi}{N}\\right),\\sin\\left(\\frac{\\operatorname{floor}\\left(m\\right)n2\\pi}{N}\\right)\\right]s_{f}\\left[n\\right]"},{"type":"expression","id":"125","color":"#2d70b3","latex":"r_{e}=\\sum_{m=0}^{N-1}\\left(\\sum_{n=1}^{N}s_{f}\\left[n\\right].x\\cdot\\cos\\left(\\frac{2\\pi mn}{N}\\right)-s_{f}\\left[n\\right].y\\cdot\\sin\\left(\\frac{2\\pi mn}{N}\\right)\\right)"},{"type":"expression","id":"126","color":"#c74440","latex":"i_{m}"}]}}