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#51 2011-09-09 06:20:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,432

Re: Implicit Equation Grapher

Here is a nice one.

Almost produces a sawtooth.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#52 2011-09-09 10:18:09

MathsIsFun
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Registered: 2005-01-21
Posts: 7,529

Re: Implicit Equation Grapher


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

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#53 2011-09-10 07:39:13

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 81,432

Re: Implicit Equation Grapher

Almost a box!

exp((x^2-16)(x-0)^2)+(y^2-20)^3=0

Making use of the probably spurious vertical lines almost produces a box.

Hi MIF;

How did you get it to output a link?

View Image: plot.png

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#54 2012-04-30 14:05:43

Sumasoltin
Member
Registered: 2012-04-28
Posts: 30

Re: Implicit Equation Grapher

Hi,MathsIsFun;
You've got a wonderful idea! But I have to say that someone did have the same idea and he made an wonderful grapher called GrafEq. But unfortunatly, the function of graphing has been out of time, so it's only for win6 or winXP.
He is Jeff Tupper, and he found the super inequality bellow. Why super? Its graph contains itself where 0<=x<=105 and n<=y<=n+16 ! n=96093937991895888497167296212785275471500433966012930665150551927170280239526642
46896428421743507181212671537827706233559932372808741443078913259639413377234878
57735749823926629715517173716995165232890538221612403238855866184013235585136048
82869333790249145422928866708109618449609170518345406782773155170540538162738096
76025656250169814820834187831638491155902256100036523513703438744618483787372381
98224849863465033159410054974700593138339226497249461751545728366702369745461014
655997933798537483143786841806593422227898388722980000748404719
As expected, this grapher has bugs, too.It allows x/0=0, x^(1/3)¡Ý0. It is the same problem of f(x,y)≈0 that you faced with.
Why not share your commands? Let's do this wonderful project together ! Many friends of mine and I want to improve it after our Chinese University Enterance Exam.
I've got a Jeff Tupper's paper about this, would you like to read ?

View Image: 200708311.gif View Image: 200708312.gif

Last edited by Sumasoltin (2012-04-30 14:08:17)

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#55 2012-04-30 14:20:15

Sumasoltin
Member
Registered: 2012-04-28
Posts: 30

Re: Implicit Equation Grapher

There are some amazing graph made by it.
In China, we use "NB" to show admiration and "great", so I found the "NB equation", NB equation, NB plot, and NB grapher. tongue

View Image: 地砖方程.png View Image: 恶魔三角方程.jpg View Image: 涟漪笑脸.jpg View Image: 边框方程.jpg View Image: NB方程.jpg

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#56 2012-04-30 19:21:25

bob bundy
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Registered: 2010-06-20
Posts: 6,092

Re: Implicit Equation Grapher

hi Sumasoltin

Definiely NB.  the last one especially smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#57 2012-04-30 21:26:24

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Implicit Equation Grapher

Hi Sumasoltin,

Working with someone on the project sounds great. But right now I am deep into another project.


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

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#58 2012-05-01 03:48:16

Sumasoltin
Member
Registered: 2012-04-28
Posts: 30

Re: Implicit Equation Grapher

MathsIsFun wrote:

I am so glad everyone likes it!

Some really wild equations, too

An example of where it goes wrong is bobby's "x^2*cos(x)=y*tan(y)" ... I don't believe the horizontal straight lines should be there at +/-π/2, they are an artifact of tan(y) changing sign, so the program assumes there is a zero in there.

The program has no way of knowing that the magical zero point is undefined. Any ideas on how to solve this?

A simpler example is "1/(1+x)=y"

Well, my stratege is finding out "/" to "remind" the program where it shouldn't show a blue point. Just plot a white line over it ! GrafEq has this trouble too and I use this way to hide the "patches". Another thing I want to say is that why not blod the plot so points-plot can be shown well?

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#59 2012-05-01 04:03:52

Sumasoltin
Member
Registered: 2012-04-28
Posts: 30

Re: Implicit Equation Grapher

bobbym wrote:

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.

Aaa...Where's the dragonfly ?

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#60 2012-05-01 06:53:47

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

I am posting the image again,because your tag didn't convert for some reason.

200804021.jpg

Last edited by anonimnystefy (2012-05-01 06:55:43)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#61 2012-05-01 08:47:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,432

Re: Implicit Equation Grapher

Hi Sumasoltin;

You left out the http:\\ so the img tags did not work.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#62 2012-05-01 09:57:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

Try (y-(sin(log(x)))/(log(sin(x))))(y+(sin(log(x)))/log(sin(x))))=0


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#63 2012-05-01 11:27:01

Sumasoltin
Member
Registered: 2012-04-28
Posts: 30

Re: Implicit Equation Grapher

bobbym wrote:

Hi Sumasoltin;

You left out the http:\\ so the img tags did not work.

Thank you for your care. Actualy, I did that on purpose. You know, there is a restriction for new menbers.

Last edited by Sumasoltin (2012-05-01 11:28:03)

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#64 2012-05-01 11:30:17

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

So that's why you did it. Either way,it is a very cool graph.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#65 2012-05-01 11:40:06

Sumasoltin
Member
Registered: 2012-04-28
Posts: 30

Re: Implicit Equation Grapher

anonimnystefy wrote:

So that's why you did it. Either way,it is a very cool graph.

Try this: HTTP://www.xamuel.com/inverse-graphing-calculator.php?phrase=anonimnystefy&clientAction=15.click

Last edited by Sumasoltin (2012-05-01 11:41:46)

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#66 2012-05-01 11:46:04

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

Wow!!! That's so awesome! Thanks!

Not a very pretty equation though. wink


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#67 2012-05-01 19:15:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,432

Re: Implicit Equation Grapher

That is a nice page, thanks.

makegraph.php?phrase=MATHSISFUN


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#68 2012-05-13 01:19:36

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

Try this:

and the copy/paste form:

y*sin(x)=x*cos(y)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#69 2012-05-13 01:25:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

And another one:

copy/paste form:

sin(x^2+y^3)=cos(x*y^5)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#70 2012-05-13 01:27:00

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

This one is almost a grid:

(x+y)/(x*y)=sin(x)+cos(y)

This one,too:

sin(x)+cos(y)=e^(x*y)

Last edited by anonimnystefy (2012-05-13 01:31:18)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#71 2012-05-13 01:32:40

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,812

Re: Implicit Equation Grapher

This one produces some sort of chains or something like that:

sin(x)+cos(y)=e^(x*y)-e^(sin(x)-cos(y))


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Online

#72 2013-07-31 16:20:23

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Implicit Equation Grapher

Posted a new version (v0.85) of Implicit Equation Grapher

There is now an option for shaded plots ("far", "near" and "slope"). Explanations on page also.

It would be really nice if everyone could give it a workout and let me know how it behaves!


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

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#73 2013-07-31 18:51:31

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,092

Re: Implicit Equation Grapher

hi MathsIsFun,

I tried a refresh but I'm still not seeing this image:

http://www.mathsisfun.com/data/images/equation-grapher-option-a.jpg

The one immediately below it (for comparison) shows OK.

http://www.mathsisfun.com/data/images/equation-grapher-option-far.jpg

I'm using Internet Explorer 10 in Windows 7.

It's probably because I'm not fully awake yet, but it wasn't immediately obvious how to change the plot style.  Got there eventually.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#74 2013-07-31 19:09:42

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Implicit Equation Grapher

Thanks bob, fixed it. Try refresh now.


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

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#75 2013-07-31 19:14:59

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,092

Re: Implicit Equation Grapher

Thanks, that's working now.  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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