using Desmos, JSON
state = @desmos begin
@note "Trigonometric functions"
@expression cos(x) color=RGB(1,0,0)
@expression sin(x) color=RGB(0,0,1)
tan(x)
@expression cot(x) lines=false
@expression (cosh(t), sinh(t)) domain=-2..3
end
json = JSON.json(state)
using Desmos, JSON
b = 3
state = @desmos begin
a = 4
@variable b = 5 domain = 2..6
@variable c = 5 domain = 1:8
@variable d = 7
$(2+2)
sin($(2b)*a-cx)
end
json = JSON.json(state)
using Desmos, JSON
url_img = "https://raw.githubusercontent.com/hyrodium/Visualize2dimNewtonMethod/b3fcb1f935439d671e3ddb3eb3b19fd261f6b067/example1a.png"
state = @desmos begin
f(x,y) = x^2+y^2-3.9-x/2
g(x,y) = x^2-y^2-2
@expression 0=f(x,y) color=Gray(0.3)
@expression 0=g(x,y) color=Gray(0.6)
f_x(x,y)=(d/dx)(f(x,y))
f_y(x,y)=(d/dy)(f(x,y))
g_x(x,y)=(d/dx)(g(x,y))
g_y(x,y)=(d/dy)(g(x,y))
d(x,y)=f_x(x,y)*g_y(x,y)-f_y(x,y)*g_x(x,y)
A(x,y)=x-(g_y(x,y)*f(x,y)-f_y(x,y)*g(x,y))/d(x,y)
B(x,y)=y-(-g_x(x,y)*f(x,y)+f_x(x,y)*g(x,y))/d(x,y)
@folder "Point sequence" begin
a₀=1
b₀=1
a₁=A(a₀,b₀)
b₁=B(a₀,b₀)
a₂=A(a₁,b₁)
b₂=B(a₁,b₁)
a₃=A(a₂,b₂)
b₃=B(a₂,b₂)
a₄=A(a₃,b₃)
b₄=B(a₃,b₃)
a₅=A(a₄,b₄)
b₅=B(a₄,b₄)
a₆=A(a₅,b₅)
b₆=B(a₅,b₅)
@expression L"a = [a_{0},a_{1},a_{2},a_{3},a_{4},a_{5},a_{6}]"
@expression L"b = [b_{0},b_{1},b_{2},b_{3},b_{4},b_{5},b_{6}]"
(a₀,b₀)
(a,b)
end
@image $url_img width=20 height=20
end
json = JSON.json(state)