Chronological Thread 

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---

I am sending you the kind of things I am doing because I like texmacs nice presentation. They are short pieces of doc, I need to think the way I will group them... I am working on RLC and ODE, but before writing I need to understand what these concept mean ... RLC, I master quiete well now, with the help of website jpujades in english. I first spent lot of hours to search all what is done with wxmaxima and sagenb.org, so I got a 2 or 3 G docs... Now I am reading and trying to understand and then translate them to french because I am sure people like me are surely interested about this excellent work.
I have some retired friends who are wondering how to learn maths or physics ? Personally I develop a new physic a remake of aether and few other surprising marvels then pass through in 20 th century !
Many thanks to all who have done this texmacs wonder ! Without it I would never ever have approached the wonderfull latex pretty writing.

Le 09/04/2012 12:40, El.Douwen a écrit :

I am doing lot of translation integrating sage / maxima (in french). I would
like to see your cookbook to have an idea how to pack all. I am not an
expert, but I think with a good presentation it's worth :)
I am not mathematician and many good articles are written for good ones... I
think it's pitty not to give something interesting to people like me who want
to know more (i am 67 and autodidactic).

i appreciate your situation; i share your opinion - it would be fine to open
the non-exclusively-hardmathematician side of TeXmacs.
if anyone has any nonhardmathematic texmacs document to present for our
future gallery, i ma very interested
i am curious to see what sort of documents you produce with sage and maxima.

If you could share your started cookbook i think it could help me .

Cookbook :
the start is really a start
http://www.texmacs.org/tmweb/documents/vinzdrafts/vinz_documents/cookbook.fr.html
it is in french
please have an idea on what it is
if you are interested in developping it, then i can envisage to translate it
into english and send you the .tm file.
in this case i will need help from a native mathemacienglish speaker to be
sure that the mathematical temrs i will use are ok
the english document will then become the source and the french translation
will follow
one has to notice that some tipycally french features are descibed in this cookbook, or
are planed to be described, like "tableaux de variations", that is to say all
the features of the professor latex extension plugined in texmacs. Maybe also we can
decide to make a special cookbook for this professor module.

kind regards
Henri

hi Henri

Vincent

<TeXmacs|1.0.7.15>

<style|generic>

<\body>
  <doc-data|<doc-title|SAGE + TEXMACS>|<doc-author-data|<author-name|AISHEN>|<\author-address>
    (traduit de \S tuned_circuits \T de P.Lupus)\ 
  </author-address>>>

  \;

  <strong|<acronym|>Circuit RLC série>

  Cet article présente les circuits accordés (RLC série et parallèles) :

  Réactance capacitive : <math|X<rsub|c>> = <math|-<frac|1|\<omega\> C>>

  Réactance inductive \ : <math|X<rsub|l>> = <math| \<omega\> L>

  Avec : \ <math|\<omega\> = 2 \<pi\> f>, f= fréquence en Hz. L'impédance est
  la combinaison de la résistance et de la réactance. Comme les réactances et
  les résistances sont orthogonales, on a besoin des nombres complexes. Voici
  l'équation de l'impédance (z) pour un circuit série RLC :

  <\equation*>
    <with|font-base-size|14|z = r \<noplus\> \<noplus\>\<noplus\>+ i
    \<omega\> L - <frac|i|\<omega\> C>>
  </equation*>

  A noter la présence de <with|font-shape|italic|i > ( <math|i<rsup|2 >> = -1
  ), tant dans la réactance capacitive que dans la réactance inductive. Dans
  de tel circuit, il y a une fréquence de résonance, lorsque la réactance
  capacitive et inductive sont égales et s'annulent, donnant le résultat d'un
  courant de pic et d'un angle entre la résistance et la réactance de zéro.
  Voici la courbe de résonance à ce point :

  <\session|sage|default>
    <\unfolded-io|Sage] >
      var('r_l r_c Xl Xc rc f a b c x y z z zl zc r l c L C omega')
    <|unfolded-io>
      \ (r_l, r_c, Xl, Xc, rc, f, a, b, c, x, y, z, z, zl, zc, r, l, c, L, C,
      omega)
    </unfolded-io>

    <\input|Sage] >
      radians=pi/180.0;degrees=180.0/pi
    </input>

    <\input|Sage] >
      def argd(x):

      \ \ \ \ return N(arg(x)*degrees)
    </input>

    <\input|Sage] >
      def plt(q,a,b,typ=abs,col='blue'):

      \ \ \ \ return plot(lambda x: N(typ(q(x))),(x,a,b),rgbcolor=col)
    </input>

    <\input|Sage] >
      omega=2*pi*f
    </input>

    <\input|Sage] >
      zs(r,l,c,f) = r + omega*l*i - i/(omega*c)
    </input>

    <\input|Sage] >
      \;
    </input>

    <\input|Sage] >
      zp(rl,cl,l,c,f)= ((rl + omega*l*i)*(rc - i/(omega*c))) /

      ((rl + rc)+i*(omega*l-1/(omega*c)))\ 
    </input>

    <\input|Sage] >
      \;
    </input>

    <\input|Sage] >
      def render(x,name="temp.png",size="normal"):

      \ \ \ \ if(type(x)!=type("")):x=latex(x)
    </input>

    <\input|Sage] >
      render(abs(x),"equabsx.png","Large")
    </input>

    <\input|Sage] >
      a=50;b=250;r=0.1;l=1e-3;c=1e-3;
    </input>

    <\input|Sage] >
      q(f)=zs(r,l,c,f)
    </input>

    <\input|Sage] >
      p1=plt(1/q,a,b,abs,'#800000')
    </input>

    <\input|Sage] >
      p2=plt(q,a,b,arg,'#008000')
    </input>

    <\unfolded-io|Sage] >
      plot(p1+p2,figsize=(4,4),

      axes_labels=('Hz','-admittance<math|<with|mode|prog|'))>>
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io|Sage] >
      N(1/(2*pi*sqrt(l*c)))
    <|unfolded-io>
      <math|159.154943091895>
    </unfolded-io>

    <\unfolded-io|Sage] >
      find_root(lambda f: float(arg(zs(r,l,c,f))),50,250)
    <|unfolded-io>
      \ 159.154943
    </unfolded-io>

    <\input|Sage] >
      \;
    </input>
  </session>

  La courbe marron réprésente l'admitance (unité mhos ou siemens), 1(q(f)),
  pour représenter un pic plus prononcé que l'impédance. La courbe verte
  représente l'angle de phase complexe, la résonance ici est de 1591 Hz :

  <\equation*>
    f<rsub|0 >= <frac|1|2 \<pi\> <sqrt|L*C>>\ 
  </equation*>

  <strong|<acronym|>Circuit RLC parallèle>

  Le circuit devient plus compliqué avec les complexes, il y a 2 résistances
  (r1 r2) à calculer. Les réactances s'appliquent également ici, mais
  l'impédance est un peu plus complexe

  <\equation*>
    z = <around*|(|<frac|<around*|(|r<rsub|l>+i*<math|\<omega\>*>l|)><around*|(|r<rsub|c>+<frac|i|\<omega\>*c>|)>|<around*|(|r<rsub|l+r<rsub|c>>|)>+i<around*|(|\<omega\>*l-<frac|1|\<omega\>*c>|)>>|)>
  </equation*>

  Dans cette équation, il faut se rappeler que omega \S <math|\<omega\>*> \T
  vaut : <math|\<omega\>=2*\<pi\>*f>

  \;

  \;

  \;

  \;

  <\session|sage|default>
    \;
  </session>

  <\session|sage|default>
    \;
  </session>

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;

  \;
</body>

<\initial>
  <\collection>
    <associate|font-base-size|12>
    <associate|language|french>
  </collection>
</initial>

---

• [TeXmacs] april 2011, El.Douwen, 04/09/2012
  • Re: [TeXmacs] april 2011, Henri Girard, 04/09/2012
    • Re: [TeXmacs] april 2011, Sam Liddicott, 04/09/2012
      • Re: [TeXmacs] april 2011, liu qihao, 04/09/2012
      • Re: [TeXmacs] april 2011, El.Douwen, 04/09/2012
    • Re: [TeXmacs] april 2011 - cookbook, El.Douwen, 04/09/2012
      • Re: [TeXmacs] april 2011 - cookbook, Henri Girard, 04/09/2012
    • [TeXmacs] pic svg, Henri Girard, 04/14/2012
      • [TeXmacs] TeXmacs-reduce interface, Andrey G. Grozin, 04/16/2012

---

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