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#26 2009-10-08 16:12:35

MathsIsFun
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Registered: 2005-01-21
Posts: 7,535

Re: Implicit Equation Grapher

It should be able to save to png now (v0.81). Have a try.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#27 2009-10-08 17:59:15

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi MathsisFun;

Thanks, worked perfectly.


View Image: eqtn.png

Last edited by bobbym (2009-10-08 18:11:59)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#28 2009-10-08 18:30:46

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,847

Re: Implicit Equation Grapher

Hi Bobby,

That one's amazing - particularly the feathering!

And Save works too...thanks, MathsIsFun.

I'll cheat and use Bobby's piccy (he's probably too modest for that), because I haven't come up with anything worth posting yet.

View Image: plot.png

Last edited by phrontister (2009-10-08 19:19:34)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#29 2009-10-09 13:04:06

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi phrontister and all;

Actually, the progression was:

Mine:

Then Jane suggested this:

My latest:

So you can consider my latest to be a typo of Jane's.

(he's probably too modest for that),

Modest, no, I just didn't think of it.

Anyway, look at this one:

Last edited by bobbym (2009-10-09 13:10:56)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#30 2009-10-09 15:12:35

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,847

Re: Implicit Equation Grapher

Hi Bobby,

Changed sin to tan:

Here's the comparison:

View Image: plot-sin.png View Image: plot-tan.png

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#31 2009-10-09 15:55:22

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Implicit Equation Grapher

This is excellent! Bookmarked and faved smile

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#32 2009-10-09 17:51:32

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi phrontister;

Our lives are frittered away by detail, simplify, simplify, simplify!

When we simplify it a little bit, it keeps the same complexity.

Last edited by bobbym (2009-10-09 18:18:19)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#33 2009-10-09 19:28:23

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,847

Re: Implicit Equation Grapher

Hi Bobby,

Nice one! And a profound statement by Henry David Thoreau.

A couple of small changes to yours = a dragonfly:

The copy/paste code: y=tan((x^4/x^2-1)/(y^4/y^2-1))/x

View Image: plot-dragonfly.png

Last edited by phrontister (2009-10-09 20:14:46)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#34 2009-10-09 19:36:09

MathsIsFun
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Registered: 2005-01-21
Posts: 7,535

Re: Implicit Equation Grapher

I am so happy this program is working well.

Any ideas for improvement? (Apart from speed, that is, I have got it about as fast as I can get it with my present parser)


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#35 2009-10-09 20:03:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi MathsisFun;

How about a color chooser for different colored graphs. Maybe the ability to graph 2 or more equations. 

You could also add the best graph on this thread to the list of examples. So far, phrontister's dragonfly ( post # 33 ) get's my vote.

Last edited by bobbym (2009-10-09 20:04:15)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#36 2009-10-09 20:20:17

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,847

Re: Implicit Equation Grapher

I'll go you halves on any prize going, Bobby - you did most of the hard work.

Actually, MathsIsFun deserves all of the prize/praise!

Btw, the speed is fine for me (I thought it was pretty quick), but I don't know how the program will cope with any mean tasks we set it once we get better at it.

What about an option to hide the grid? That's probably mainly for people like myself who have no idea whatsoever about what's going on in the equation/graphing process and just want to see what happens if they do this or that.

Last edited by phrontister (2009-10-09 20:41:27)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#37 2009-10-09 22:37:10

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Implicit Equation Grapher

I think we need more customized zooming. Rather than zooming in and out by a factor perhaps allow us to set x min-max, y min-max. Also I don't know if this is possible, but it would be nice if it could identify minima-maxima or allow us to 'trace' the graph, showing the coordinates at each point.


Also, some functions I graphed made IE stall for a very long time, for example sin(x+y/sin(x+y))=y. Perhaps you could have a 'break' button that can halt the processing.

But it's really good overall big_smile

Last edited by Identity (2009-10-09 22:53:35)

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#38 2009-10-09 22:40:31

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Implicit Equation Grapher

I like this one a lot:

y^2*tan(x^2+y^2)=x^2-y^2

It has a ripply effect with an infinity sign in the middle

Also this one:

Also has a ripply effect, but with a yin-yang symbol

Last edited by Identity (2009-10-09 22:48:36)

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#39 2009-10-12 22:26:14

MathsIsFun
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Registered: 2005-01-21
Posts: 7,535

Re: Implicit Equation Grapher

Great suggestions.

Identity wrote:

Also, some functions I graphed made IE stall for a very long time, for example sin(x+y/sin(x+y))=y.

This turned out to be a bug!

I had a "for" loop that went past the end condition and kept on going! Needless to say it isn't supposed to do that. Anyway, I completely rewrote that bit of code and it seems fine now. (version is now 0.82)

As I get time I will do more.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#40 2009-10-12 23:56:08

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Implicit Equation Grapher

Cool, thanks for fixing it

By the way,

appears to be a straight line. How can this be?

Last edited by Identity (2009-10-12 23:56:21)

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#41 2009-10-13 00:27:28

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi identity;

Try hitting out 10x after graphing it. That's weird too.

Last edited by bobbym (2009-10-13 14:28:45)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#42 2009-10-13 02:25:55

Ubergeek
Member
Registered: 2009-07-14
Posts: 205

Re: Implicit Equation Grapher

I found this one kind of nice.

y^3=x^3sin(x^3+y^2)^2


"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."

Bertrand Russell

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#43 2009-10-16 19:37:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi;

I was looking for one that fills the entire screen up:

or

sin(x^2)+sin(y^3)=1

View Image: plot.png

Last edited by bobbym (2009-10-16 19:40:27)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#44 2009-10-23 20:47:45

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Implicit Equation Grapher

Try

[align=center]

[/align]
for k = 1.4, 1.45 and 1.5. (In fact, try various values of k between 1.4 and 1.5 and see how it evolves.)

Last edited by JaneFairfax (2009-10-23 20:54:37)


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A: Click here for answer.

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#45 2009-10-23 21:20:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi

That's a nice one, Jane. Liked k = sqrt(2) best.

or for easier input:

exp(x)/abs(tan(y))/abs(sin(x+y))=sqrt(2)

Last edited by bobbym (2009-10-24 07:36:38)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#46 2009-12-09 00:39:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi;

T. Student showed me this one on another forum. It is called the seed of life.

(x^2+y^2-1)((x-1)^2+y^2-1)((x-.5)^2+(y-.866)^2-1)((x+.5)^2+(y-.866)^2-1)((x+1)^2+y^2-1)((x+.5)^2+(y+.866)^2-1)((x-.5)^2+(y+.866)^2-1)=0

View Image: seed of life.png

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#47 2009-12-09 08:31:59

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Implicit Equation Grapher

Very cool! I see parameters of 1, 0.5 and 0.866 (90, 45, 30 degrees?)


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#48 2009-12-09 11:14:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Implicit Equation Grapher

Hi MathsisFun;

I didn't notice that. I have no idea what he has done in forming that equation except that it looks like to me he just plotted 6 circles.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#49 2009-12-18 10:41:29

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: Implicit Equation Grapher

(sin(x^2)+sin(x^2*y^2))^(1/2)+x/y=(cos(x^2*y^2)+cos(y^2))^(1/2)+y/x


1 = (y*x)^12*sin(x^2+y^2)

Try to find the partial implicit derivatives of the first one. If you can't be bothered, use http://www.wolframalpha.com/. They're insane. Good luck finding them without making a mistake.


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#50 2011-01-11 04:01:38

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Implicit Equation Grapher

MathsIsFun, this is very good smile

and for this equation:

(x^2+y^2-1)((x-1)^2+y^2-1)((x-.5)^2+(y-.866)^2-1)((x+.5)^2+(y-.866)^2-1)((x+1)^2+y^2-1)((x+.5)^2+(y+.866)^2-1)((x-.5)^2+(y+.866)^2-1)=0

If you check this, it consists of individual equations of circle ( can we call them "multiple coaxal system of circles"? )

We can also multiply equations of straight lines.
E.g. a crosshair: (x^2+y^2-1)(x+y)(y-x)=0


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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