Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#26 Re: This is Cool » Find an equation showing special graph » 2012-04-30 00:04:27
Hi bobbym;
There are lots of mathematical softwares,like matlb,mathematic,and to graph equations I prefer GrafEq(w w w .xamuel.com/graphs-of-implicit-equations)
#27 Re: This is Cool » Find an equation showing special graph » 2012-04-29 23:07:08
Hi bobbym;
Thank you.I'm sorry to have forgot to say that.The first one is from x=-25 to 20,and the second is in [-5,5]
I found something interesting I set down before:Nike equation
#28 Re: This is Cool » Find an equation showing special graph » 2012-04-28 22:16:55
Aaaaa......the most beautiful one is larger than 100kb
The function is:
y=abs[x]-abs[x/2+3]-abs[x/2-3]+3(x-14)(x-16)/abs[2(x-14)(x-16)]+3(x-12)(x-18)/abs[(x-12)(x-18)]+(sqrt[4-(abs[x-14]-abs[x-16])^2]+sqrt[36-(abs[x-12]-abs[x-18])^2])/4-3+(18+abs[2x+24]+abs[2x-24]-abs[2x+12]-abs[2x-12]-6(x-14)(x-16)/abs[(x-14)(x-16)]-6(x-12)(x-18)/abs[(x-12)(x-18)]-18(x+14)(x+16)/abs[(x+14)(x+16)]+sqrt[4-(abs[x-14]-abs[x-16])^2]-sqrt[36-(abs[x-12]-abs[x-18])^2])sin[5pi*x]/4
Everyone knows that the heart cruve is a closed cruve so we can't find a functiom with a heart-shaped plot.Really?
y=x^(2/3)+sqrt(4-x^2)sin(5pi*x)
#29 This is Cool » Find an equation showing special graph » 2012-04-28 15:17:16
- Sumasoltin
- Replies: 35
I'm a Chinese high school student who love equation and function CRAZILY ! And I've found a lot about this mathematical game.Let's look into!
Absolution,I think it useful but unpleasant,can make any project practicable.As is known to all,the equation "ab=0" is equal to"a=0 or b=0".Similarly,"g(x,y)f(x,y)=0" is equal to "g(x,y)=0 or f(x,y)=0",so now you can use "plus" to combine different plots.And another equation "f²(x,y)+g²(x,y)=0" is equal to "f(x,y)=0 and g(x,y)=0",and in this way you can cut a part of plot.How? There comes the equation "|x-a|+|x-b|-|a-b|=0",whose graph is a part of the plane.Now,let's graph "(x-y)²+(|x-1|+|x+1|-2)²=0".It's a segment.We find |x-1|+|x+1|-2>0,so this equation can be simplified as (x-y)²+|x-1|+|x+1|=2.
This is easy,but not best.Keep patient and you're due to find an equation showing special meanings.Take your aim apart and find equations describe them,and combine them together.
But I dislike absolution,so I found the "fusion".We plus "x=1" and "(x+1/2)²+y²=1",and then we got "x((x+1/2)²+y²)=1".whose plot is the fusion of a circle and straight line.Similarly,many plots can be combine in this way.
There are lots of tips but I can only convey those with my poor English.To show more about this geeks' game I will show you some my original equations.
What's more,have you found some interesting graphs of equation?Share it if it's convenient to you!