| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185 |
- {
- "version": 5,
- "graph": {
- "viewport": {
- "xmin": -6.940063748235457,
- "ymin": -7.134541429238188,
- "xmax": 6.961266580431917,
- "ymax": 6.766788899429186
- }
- },
- "expressions": {
- "list": [
- {
- "type": "expression",
- "id": "1",
- "color": "#c74440",
- "latex": "N=26",
- "sliderHardMin": true,
- "sliderHardMax": true,
- "sliderMin": "1",
- "sliderMax": "40",
- "sliderInterval": "1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "12",
- "color": "#2d70b3",
- "latex": "n=\\left[0,\\frac{1}{N},...,\\frac{N-1}{N}\\right]",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "13",
- "color": "#388c46",
- "latex": "a=5",
- "sliderHardMin": true,
- "sliderHardMax": true,
- "sliderPlayDirection": -1,
- "sliderMin": "0",
- "sliderInterval": "0.2",
- "style": "SOLID"
- },
- {
- "type": "folder",
- "id": "18",
- "title": "Astroid 1 直线截距平方和为定值,椭圆长短半轴之和为定值",
- "hidden": true,
- "collapsed": true,
- "memberIds": {
- "15": true,
- "17": true,
- "24": true,
- "25": true,
- "32": true
- }
- },
- {
- "type": "expression",
- "id": "24",
- "color": "#c74440",
- "latex": "x=0\\left\\{-a<y<a\\right\\}",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "25",
- "color": "#c74440",
- "latex": "y=0\\left\\{-a<x<a\\right\\}",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "15",
- "color": "#c74440",
- "latex": "\\left(\\frac{x}{a\\cdot n}\\right)^2+\\left(\\frac{y}{a\\left(1-n\\right)}\\right)^2=1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "32",
- "color": "#2d70b3",
- "latex": "\\frac{\\left|x\\right|}{a\\sqrt{n}}+\\frac{\\left|y\\right|}{a\\sqrt{1-n}}=1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "17",
- "color": "#000000",
- "latex": "\\left(\\frac{x}{a}\\right)^{\\frac{2}{3}}+\\left(\\frac{y}{a}\\right)^{\\frac{2}{3}}=1",
- "hidden": true,
- "lineStyle": "DASHED",
- "style": "SOLID"
- },
- {
- "type": "folder",
- "id": "19",
- "title": "Astroid 2 直线截距之和为定值,椭圆长短半轴之2/3方和为定值",
- "hidden": true,
- "collapsed": true,
- "memberIds": {
- "14": true,
- "16": true,
- "36": true
- }
- },
- {
- "type": "expression",
- "id": "36",
- "color": "#c74440",
- "latex": "\\left(\\frac{x}{a\\cdot n^{\\frac{3}{2}}}\\right)^2+\\left(\\frac{y}{a\\left(1-n\\right)^{\\frac{3}{2}}}\\right)^2=1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "16",
- "color": "#2d70b3",
- "latex": "\\frac{\\left|x\\right|}{na}+\\frac{\\left|y\\right|}{\\left(1-n\\right)a}=1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "14",
- "color": "#000000",
- "latex": "\\left(\\frac{\\left|x\\right|}{a}\\right)^{\\frac{1}{2}}+\\left(\\frac{\\left|y\\right|}{a}\\right)^{\\frac{1}{2}}=1",
- "lineStyle": "DASHED",
- "style": "SOLID"
- },
- {
- "type": "folder",
- "id": "44",
- "title": "Astroid 3 The end",
- "hidden": true,
- "collapsed": true,
- "memberIds": {
- "37": true,
- "39": true,
- "41": true,
- "45": true
- }
- },
- {
- "type": "expression",
- "id": "37",
- "color": "#c74440",
- "latex": "o=0.5",
- "sliderHardMin": true,
- "sliderHardMax": true,
- "sliderMin": "-2",
- "sliderMax": "3",
- "sliderInterval": "0.1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "39",
- "color": "#c74440",
- "latex": "\\left(\\frac{x}{a\\cdot n^o}\\right)^2+\\left(\\frac{y}{a\\left(1-n\\right)^o}\\right)^2=1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "41",
- "color": "#2d70b3",
- "latex": "\\frac{\\left|x\\right|}{an^{\\left(o-\\frac{1}{2}\\right)}}+\\frac{\\left|y\\right|}{a\\left(1-n\\right)^{\\left(o-\\frac{1}{2}\\right)}}=1",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "45",
- "color": "#000000",
- "latex": "\\left(\\frac{\\left|x\\right|}{a}\\right)^{\\frac{1}{o+\\frac{1}{2}}}+\\left(\\frac{\\left|y\\right|}{a}\\right)^{\\frac{1}{o+\\frac{1}{2}}}=1",
- "lineStyle": "DASHED",
- "style": "SOLID"
- },
- {
- "type": "expression",
- "id": "34",
- "color": "#388c46",
- "latex": "\\left(\\frac{x}{a\\cdot\\sqrt{n}}\\right)^2+\\left(\\frac{y}{a\\sqrt{1-n}}\\right)^2=1",
- "style": "SOLID"
- }
- ]
- }
- }
|