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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

I am quoting here for the sake of easier access tome.

`pslq[l_,dig_]:=Module[{a}, a=IdentityMatrix[Length[l]]; a=Append[a,10^dig*N[l,dig]]; a=Transpose[a]; a=Rationalize[a,10^-dig]; a=LatticeReduce[a]; Take[a,All,{1,Length[l]}] ];`

I will now do the next lines. Then we will have to find a Lattice Reduce function for Maxima.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Okay, work on them, I have to do a chore be back soon.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What does the Rationalize do, again?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Turns a decimal into the closest fraction.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

I figured that out and tried writing a Maxima function, but it is not working:

`ratnum(a,dig) := round(float(a)*(10^dig))/10^dig;`

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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I thought maxima had a similar command.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,657

It doesn't. Or at least I don't know about it. My function returns good number for rationals but not reals.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Hold on, I am installing the newest Geogebra. I will see what I can find.

Rationalize[.123456] yields

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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But what about a real number?

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**bobbym****Administrator**- From: Bumpkinland
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What real number?

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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e for example.

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**bobbym****Administrator**- From: Bumpkinland
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Rationalize[2.71818]

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**anonimnystefy****Real Member**- From: The Foundation
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That is not e.

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**bobbym****Administrator**- From: Bumpkinland
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Oh boy. Are you serious?

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**anonimnystefy****Real Member**- From: The Foundation
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Why does your function have another parameter?

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**bobbym****Administrator**- From: Bumpkinland
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One thing at a time. We need to stop right here.

What is e, I mean the symbol e? What can you tell me about it? Give me everything you got, it is important.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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*Last edited by anonimnystefy (2012-07-14 09:05:59)*

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**bobbym****Administrator**- From: Bumpkinland
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Nope!

e is the symbol for that. It was invented by Euler. e stands for

That little symbol has an infinite amount of digits. It represents a transcendental number. What does that mean?

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**anonimnystefy****Real Member**- From: The Foundation
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It is not a root of an equation with rational coefficients?

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**bobbym****Administrator**- From: Bumpkinland
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No, not exactly what we need here.

A transcendental number has some properties.

1) It is irrational ( can't be expressed in the reduced form a / b, where a,b are integers)

2) It is not the root of any polynomial (loose definition, you know the type of poly I mean).

So now asking M or M or M or M to evaluate

Rationalize[e] is just plumb kaboobly doo.

By rule 1 it is impossible. We can rationalize a truncated decimal approximation of e. Same thing with π. Those symbols are compact representations of something else.

It is wise that you skeddadled out of the forum because I feel a rant coming on.

**In mathematics, you don't understand things. You just get used to them.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Ok, what next?

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**bobbym****Administrator**- From: Bumpkinland
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I gave you the Rationalize command. So what is next?

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**anonimnystefy****Real Member**- From: The Foundation
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Arghh, the troubling Lattice Reduce. We will need to find a way to do it in Maxima. Is there a code for tthe Lattice Reduce function?

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**bobbym****Administrator**- From: Bumpkinland
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Is the rest of the program done?

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**anonimnystefy****Real Member**- From: The Foundation
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No. Only up to the Lattice Reduce.

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