Cool 2-D functions for graphing

[LPHY]

I am collecting nice 2-d functions to demonstrate graphing tool, if anyone have great functions which will look great on 2-d plotting, please let me know.

Here are few equations I am using now. if you guys need I can provide a link to plot each of these graphs. The plotting program I am using allow to use up to 3 different function same time.

(1) sin(pi*x/5)-tan(x*2)
(2) min(sin(pi*x-2),0.452)
(3) F1::cos(pi*x) / (-ln(2)*x), F2::sqrt(9-x^2), F3::-sqrt(9-x^2)
(4) F1::x*sin(10*x), F2::x, F3::-x
(5) F1::ln(x)*cos(15*x), F2::ln(x), F3::-ln(x)
(6) sin(954*x)-2*cos(x)

Thanks in advance

 

[radou]

This one looks nice:

f(x) = ((x-0.2)sin(1/(x-0.2)) + x +0.8)(10(x-0.1)^2+0.9)

 

[arildno]

I really like this one:
f(x)=0

It is one of the most important functions you'll ever meet!

 

[LPHY]

This one looks nice:

f(x) = ((x-0.2)sin(1/(x-0.2)) + x +0.8)(10(x-0.1)^2+0.9)

I tried to plot this function, but I am getting an error (syntax error)
((x-0.2)*sin(1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)

 

[radou]

I tried to plot this function, but I am getting an error (syntax error)
((x-0.2)*sin(1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)

Should work. It is defined on <-infty, 0.2>

 

[LPHY]

Should work. It is defined on <-infty, 0.2>

it is working now, thanks
((x-0.2)*sin(1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)

 

[LPHY]

I really like this one:
f(x)=0

Is this a function or constant ?
LOL

 

[arildno]

It's a function. To each value of x, there is assigned only a single function value.

 

[radou]

it is working now, thanks
((x-0.2)*sin(1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)

This is more like it: http://www.livephysics.com/ptools/o...1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)&f2=&f3=".

 

[arildno]

This is more like it: http://www.livephysics.com/ptools/o...1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)&f2=&f3=".

Just another wavy thing. Can' compete against the stark elegance and cool sobriety of MY function.

 

[LPHY]

This is more like it: http://www.livephysics.com/ptools/o...1/(x-0.2))+x+0.8)*(10*(x-0.1)^2+0.9)&f2=&f3=".

Wow, its look great

 

[radou]

Just another wavy thing. Can' compete against the stark elegance and cool sobriety of MY function.

May be true. But your function didn't get a wow. :tongue2:

 

[arildno]

May be true. But your function didn't get a wow. :tongue2:

Mere newbie lack of taste. He'll get a more refined and cultured taste as he plunges deeper into the mysteries of maths.

 

[robphy]

http://www.livephysics.com/ptools/o...f1=sin(cos(x))&f2=cos(x)&f3=sin(sin(cos(x)))"

http://www.livephysics.com/ptools/o...xmax=5&f1=sin(tan(x)/x)&f2=cos(tan(x)/x)&f3="

http://www.livephysics.com/ptools/o...max=50&f1=tan(sin(x)/x)&f2=sin(tan(x)/x)&f3="

http://www.livephysics.com/ptools/o...(floor(sin(x))/x)&f2=sin(ceil(sin(x))/x)&f3="

can it do an exponential function?

 

[LPHY]

can it do an exponential function?

It can do all these functions

sin(), cos(), tan(), asin(), acos(), atan()
ln() - standard natural logarithmic
e - natual base
sqrt() - square root
abs() - absolute value
max() - maximum of two numbers
min() - minimum of two numbers
floor() - revious nearest integer
ceil() - next nearest integer
round() - nearest integer

 

[LPHY]

Just a heads up guys, I am working on a online function evaluation tool, Which will automatically generate data table for given function for given boundaries. Will let you know once this is ready.

Also here is the new thread I created for new 3D function graphing tool