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Seven math curves

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Re: Seven math curves

3. black * blue = const (ovals Cassin)

Animation

Video Link : 7032

Video Link : 7033

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Re: Seven math curves

Two branches of the curve^ one for Black^Blue and others for Blue^Black:

Video Link : 7184

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Re: Seven math curves

2. |black-bleu|=const: hyperbola

Animation

Video Link : 7031

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Re: Seven math curves

1. black+blue=const: Ellipse - animation

Video Link : 7029

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Re: Seven math curves

You demanded

> a • b • c = const

and as it was quite easy to change the sheet with the constant sum to provide a constant product, so here it is.

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Re: Seven math curves

And here is the (IMHO less interesting) animation showing the distances:

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Re: Seven math curves

Werner Exinger написал(а):

And here is the (IMHO less interesting) animation showing the distances:

Animation

Video Link : 7022

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Re: Seven math curves

As already written I prefer the original avi files and not those streaming crap.

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Re: Seven math curves

Hmm, the forum seems to dislike the word c*r*a*p !?

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Re: Seven math curves

Werner Exinger написал(а):

Hmm, the forum seems to dislike the word c*r*a*p !?

Use please one good Russian word "Scheiße".

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Re: Seven math curves

Use please one good Russian word "Scheiße".

Russian?? Its German 😉

And I know why I dislike that streaming annoyance - most of the time I click on of those animations, I get this error:

I feel confirmed.

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Re: Seven math curves

Werner Exinger написал(а):

Use please one good Russian word "Scheiße".

Russian?? Its German 😉

And I know why I dislike that streaming annoyance - most of the time I click on of those animations, I get this error:

I feel confirmed.

I do refresh!

And second.

This word (шайзе) now is a russian word too. Like бутерброд or фриштик or парикмахерская etc

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Re: Seven math curves

> бутерброд or фриштик or парикмахерская

Google translate was not of much help here, but I guess I recognize "Butterbrot", Frühstück" and "Perückenmacher", right?

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Re: Seven math curves

Werner Exinger написал(а):

> бутерброд or фриштик or парикмахерская

Google translate was not of much help here, but I guess I recognize "Butterbrot", Frühstück" and "Perückenmacher", right?

Right!

But парикмахерская is Friseurgeschäft

We say "ein Butterbrot mit wurst, mit butter, mit kaese" etc.

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Re: Seven math curves

Werner Exinger написал(а):

You demanded

> a • b • c = const

and as it was quite easy to change the sheet with the constant sum to provide a constant product, so here it is.

Animation

Video Link : 7020

Re: Seven math curves

Mathematica has only 4 curves - see please Wolfram Demonstrations Project

Mathcad - seven!

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Re: Seven math curves

There are so many other possibilities and ways to define that kind of curves, but there may be a sense and deeper reason why Wolfram is limiting itself to the four basic operations and is not using other functions like exp or ln.

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Re: Seven math curves

Werner Exinger написал(а):

There are so many other possibilities and ways to define that kind of curves, but there may be a sense and deeper reason why Wolfram is limiting itself to the four basic operations and is not using other functions like exp or ln.

But perhaps Wolfram does not have the great imagination as we have

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Re: Seven math curves

One more curve

mod

Video Link : 7309

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Re: Seven math curves

The journal Cloud of Science with the article in attach.

Seven computational curves or Apollonian bicycle

Valery F. Ochkov, Alvaro Diaz Falconi

(Some words in it about W. Exinger)

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Re: Seven math curves

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Re: Seven math curves

Pouvons nous representer en Mathcad l'ensemble des Julia z --> carre(z) + 0,25 ?

Can we graph in Mathcad the set of Julia z---> z^2 +0.25 ?

Like in : Dimensions / episode 7, min 7:42 ?

Best regards, Liv.

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Re: Seven math curves

> Can we graph in Mathcad the set of Julia z---> z^2 +0.25 ?

Sure!

If you search the forum or the net you should find some nice examples how to create pictures of Julia- and Mandelbrot sets.

Here are just examples for 2 different approaches:

http://www.adeptscience.co.uk/products/mathsim/mathcad/fractals-in-mathcad.html   (see at the end for a link to the Julia worksheet)

http://ocw.nctu.edu.tw/upload/classbfs120905452520455.pdf

Maybe worth opening a new question/thread if you already tried and experienced difficulties.

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Re: Seven math curves

Right ! Should have looked for !

Great hint & docs. I'll study them.

Not tried, yet. Much more trivial tasks in Mathcad for the moment.

Many thanks, Liv.

(thanks to Samir Khan 689, too, for that Mcd worksheet)

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