﻿ math animation online software ﻿ AI Fractional Calculus Computer Algebra System, Electrochemistry Software, chat GPT, AI math GPT
+ + + =

# examples of Math Graphics 数学函数图 制图法

## 2D Surface

1. color maps
2. Enter sin(x), then tick the fill checkbox under graph.

### single variable with integral(x)

3. integral(semicircle(1)) semicircle with radius 1.

#### animation

add the function timer(x) for animation
4. integral(semicircle(timer(4))) semicircle with radius from 0 to 4.

### two variables x and y

#### f(x,y)+abs(f(x,y))

5. circle(1)+abs(circle(1)) disc with radius 1.
6. disc(1) disc with radius 1.
7. oval(2,1)+abs(oval(2,1)) oval with radius (2,1).
8. ring(1,2) ring with radius 1 and 2

#### f(x,y)-abs(f(x,y))

9. y-x^2-abs(y-x^2) .

### two variables with contour2D(x-y) by cling the contour2D button

10. ( x*x+y*y-1) circle
11. ( sin(x*x+y*y-1) ) target
12. ( y-sin(x) ) sine

### two variables with plot2D(x-y)

click the fill checkbox to fill color.
13. plot2D( x*x+y*y-1) circle
14. plot2D( cos(x*x+y*y-t) ) target
15. plot2D( y-sin(x) ) sine

#### animation

click the auto-t checkbox to auto change t value.
16. plot2D( cos(x*x+y*y-t) ) water wave
add the function timer(x) for animation
17. plot2D( y-sin(x-timter(9)) ) sea
18. coloring square 变色花环

### two variables with parametric3D(x,x,x-y)

The first two parameters are the same as x or y, the last parameter is x and y
19. parametric3D(x,x,sin(x)-y)
20. parametric3D(y,y,sin(y)-sin(x)) sine wave

### Complex Functions

21. coloring complex function in WebXR Surface 2D
22. complex plot z with complexplot(z)

#### animation

23. complex animation z with complexanimate(z)

### Drawing with mouse

24. Draw shape, then fill with color.

### Reference 参阅

• example 例题
• graph 制图
• graphics 制图法
• animation 动画 ﻿