texmacs-users - Re: [TeXmacs] Un salto de página indeseado

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Re: [TeXmacs] Un salto de página indeseado

From: luis jaime salazar ramírez <address@hidden>
To: address@hidden
Subject: Re: [TeXmacs] Un salto de página indeseado
Date: Sun, 10 Jul 2011 21:28:18 -0500
Good day for all:

I'm thanked for your help. I present excuses for the latter last answer.
I send you the archive for your analisis and its related output, i
don't believe that this problem be related with de images, moreover,
send you the archive. You can review this.

Thanks other again.

luis jaime

El vie, 17-06-2011 a las 13:39 -0600, Adrian S. escribió:
> You can manually insert page breaks using format->break->page break;
> this will help TeXmacs decide where to put page breaks. Doing this
> and resizing the images might be enough.
>
> -Adrián.
>
> 2011/6/17 Adrian S. <address@hidden>:
> > I think that the problem, as already mentioned, is the images.
> > Alternate solutions are:
> >
> >
> >
> > **Change the size of the images (go to the right of the image, and
> > then press back space. And write .3par or 1in or 3cm or whatever size
> > you think works.
> > <image|<tuple|<raw-data>|jpg>|.3par|||>
> >
> > **Insert a float object, this will position the figure in
> > format-->insertion-->floating figure
> > This will have the effect of TeXmacs positioning the image somewhere
> > in your quiz, not necesarilly right after, but making the page break
> > and the text flow more naturally. However, in that case, TeXmacs will
> > decide how to break the page, as mentioned before.
> >
> > Hope this helps a bit.
> > Peace.
> > -Adrian.
> >
> > 2011/6/17 Alvaro Tejero Cantero <address@hidden>:
> >> My experience with floating environments and large figures is that
> >> page breaking becomes extremely unpredictable.
> >>
> >> Mi experiencia con figuras flotantes grandes es que los saltos de
> >> página se vuelven impredecibles.
> >>
> >> Un saludo,
> >>
> >> -á.
> >>
> >> PS. Luis, si puede escribir en inglés sería un alivio para todos.
> >>
> >>
> >> 2011/6/17 Alvaro Tejero Cantero <address@hidden>:
> >>> Translation:
> >>>
> >>> Good morning appreciated colleagues.
> >>>
> >>> I have a template to prepare quizzes and it works very well. However
> >>> at times something like in the attached pdf happens:
> >>>
> >>> there is an unwanted page break. What is the reason?
> >>>
> >>> The solution is enclosed in a folded environment.
> >>>
> >>> Thanks for the time you take to solve this issue.
> >>>
> >>> --
> >>> Cordially,
> >>>
> >>>
> >>>
> >>> Luis Jaime Salazar Ramírez
> >>> Linux user: #480813
> >>> Ubuntu user: #24901
> >>>
> >>> -á.
> >>>
> >>>
> >>>
> >>> 2011/6/17 luis salazar <address@hidden>:
> >>>> Buenos días apreciados colegas:
> >>>>
> >>>> Resulta que tengo una plantilla para realizar quizes y me funciona muy
> >>>> bien,
> >>>> pero en ocasiones sucede algo como lo que se muestra en el pdf adjunto:
> >>>>
> >>>> hay un salto de página indeseado. ¿A qué se debe?
> >>>>
> >>>> La solución está encerrada en un entorno plegado: plegado/entorno.
> >>>>
> >>>> Gracias por el tiempo que se toman para solucionar la duda.
> >>>> --
> >>>> Cordialmente,
> >>>>
> >>>>
> >>>>
> >>>> Luis Jaime Salazar Ramírez
> >>>> Linux user: #480813
> >>>> Ubuntu user: #24901
> >>>>
> >>>
> >>
> >
<TeXmacs|1.0.7.3>

<style|<tuple|exam|maxima>>

<\body>
  <tabular|<tformat|<cwith|1|5|1|1|cell-halign|c>|<twith|table-halign|l>|<twith|table-width|1par>|<twith|table-hmode|exact>|<table|<row|<cell|<strong|UNIVERSIDAD
  PEDAG�GICA Y TECNOL�GICA DE COLOMBIA>>>|<row|<cell|<strong|FACULTAD DE
  CIENCIAS B�SICAS>>>|<row|<cell|<strong|ESCUELA DE MATEM�TICAS Y
  ESTAD�STICA>>>|<row|<cell|<strong|C�LCULO II>>>|<row|<cell|Docente: \ Luis
  Jaime Salazar Ram�rez>>>>>

  \;

  <tabular|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|1|cell-bborder|.5pt>|<cwith|1|1|1|1|cell-halign|l>|<cwith|1|1|2|2|cell-halign|r>|<cwith|1|1|2|2|cell-bborder|.5pt>|<table|<row|<cell|Habilitaci�n>|<cell|junio
  de 2011>>>>>

  <\exercise>
    Determine el valor de la integral <math|<big|int><rsub|1><rsup|2><frac|\<mathd\>x|(2-x)(x+1)>>
  </exercise>

  <\unfolded-env>
    <strong|Soluci�n:>
  <|unfolded-env>
    La integral se soluciona por fracciones parciales de la siguiente forma:
    \ 

    Primero determinamos las fracciones parciales
    <with|mode|math|<frac|1|(2-x)(x+1)>=<frac|A<rsub|1>|2-x>+<frac|A<rsub|2>|x+1>>
    pasando el denominador de la izquierda a multiplicar toma la forma
    <math|1=A<rsub|1>(x+1)+A<rsub|2>(2-x)> \ si <math|x=-1> entonces
    <math|1=A<rsub|1>(-1+1)+A<rsub|2>(2-(-1))> lo que nos da que
    <math|A<rsub|2>=-<frac|1|3>> y por otro lado si <math|x=2> se tiene que
    <math|1=A<rsub|1>(2+1)+A<rsub|2>(2-2)> de donde
    <math|A<rsub|1>=<frac|1|3>>. \ As� la integral original se puede
    reescribir como <with|mode|math|<big|int><rsub|1><rsup|2><frac|\<mathd\>x|(2-x)(x+1)>=<big|int><rsub|1><rsup|2><frac|1/3|2-x>\<mathd\>x+<big|int><rsub|1><rsup|2><frac|-1/3|x+1>=<frac|1|3><left|[><big|int><rsub|1><rsup|2><frac|1|2-x>\<mathd\>x-<big|int><rsub|1><rsup|2><frac|1|x+1><right|]>>
    lo que nos da <with|mode|math|=<frac|1|3><left|[>-ln\|2-x\|-ln\|x+1\|<right|]><rsub|1><rsup|2>>,
    se ve que hay problema para evaluar <math|2> en el primer logaritmo
    natural puesto que no es posible evaluarlo directamente, as� reescribimos
    <with|mode|math|=<frac|1|3><left|(>-lim<rsub|b\<rightarrow\>2<rsup|->>ln\|2-x\|<right|]><rsub|1><rsup|b>-<left|[>ln\|x+1\|<right|]><rsub|1><rsup|2>)>,
    lo que nos lleva a <with|mode|math|=<frac|1|3><left|[>-lim<rsub|b\<rightarrow\>2<rsup|->>ln\|2-b\|+ln1-ln(3)+ln(1)<right|]>>
    (N�tese que es <math|x\<rightarrow\>2<rsup|->> puesto que
    <math|1\<leq\>x\<leq\>2>), el l�mite va para <math|-\<infty\>> puesto que
    nos estamos acercando a cero por derecha as� toda la expresi�n es
    <math|+\<infty\>>, es decir esta �rea no tiene medida finita.
  </unfolded-env>

  <\exercise>
    Halle el �rea entre las curvas <math|y=3x+2> e <math|y=x<rsup|2>+4>
  </exercise>

  <\unfolded-env>
    <strong|Soluci�n:>
  <|unfolded-env>
    Para determinar los puntos de corte se requiere tanto hacer la gr�fica
    como confirmar la informaci�n por m�todo anal�tico. \ Veamos la figura
    <reference|fig-areaentrecurvas>:

    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    De la figura se puede ver que los puntos de corte est�n en <math|x=1> y
    <math|x=2>, lo que se puede confirmar por m�todo anal�tico: \ para ambas
    funciones cuando se cortan sus valores de <math|y> deben ser iguales por
    tanto igualamos las dos funciones <math|3x+2=x<rsup|2>+4> que reordenando
    queda <math|x<rsup|2>-3x+4-2=0>, es decir
    <with|mode|math|x<rsup|2>-3*x+2=0>, cuadr�tica que se puede factorizar
    como <math|(x-1)(x-2)=0> de donde dos n�meros son iguales a cero si uno o
    ambos son cero, es decir, <math|x-1=0\<vee\>x-2=0> lo que nos resulta en
    <math|x=1> y <math|x=2>.

    El �rea queda entonces <math|A=<big|int><rsub|1><rsup|2>(3x+2-x<rsup|2>-4)\<mathd\>x>,
    v�ase que la funci�n que est� por encima en este intervalo es la l�nea
    recta, <with|mode|math|A=<big|int><rsub|1><rsup|2>(-2+3x-x<rsup|2>)\<mathd\>x=-2x+3<frac|x<rsup|2>|2>-<frac|x<rsup|3>|3><right|]><rsub|1><rsup|2>>
    lo que nos da <math|=-2(2)+3<frac|2<rsup|2>|2>-<frac|2<rsup|3>|3>-(-2(1)+3<frac|1|2>-<frac|1|3>)=<frac|1|6>>,
    que es el valor del �rea entre las curvas.

    <\folded-env>
      \;
    <|folded-env>
      <\session|gnuplot|default>
        <\output>
          This is a TeXmacs interface for GNUplot.
        </output>

        <\unfolded-io>
          GNUplot]\ 
        <|unfolded-io>
          set grid; unset key;set style line 1 lc rgb 'blue' lt 1 lw 3;set
          style line 2 lc rgb 'red' lt 1 lw 3;plot [0:2.5][2:10] 3*x+2 ls 1,
          x**2+4 ls 2
        <|unfolded-io>
          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        </unfolded-io>

        <\input>
          GNUplot]\ 
        <|input>
          \;
        </input>
      </session>
    </folded-env>
  </unfolded-env>

  <\exercise>
    Determine el volumen del s�lido de revoluci�n generado al hacer girar
    <math|x=y<rsup|2>+1> en torno al eje <math|y> para <math|x> entre cero y
    el punto de corte con el eje <math|x>.
  </exercise>

  <\unfolded-env>
    <strong|Soluci�n:>
  <|unfolded-env>
    La gr�fica es la figura <reference|fig-volumengiroy>:

    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A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31203020560A7374726F6B65203639323820343235204D0A32202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A7374726F6B650A312E30303020554C0A4C54620A3731342034383732204E0A37313420323830204C0A36323736203020560A30203435393220560A2D36323736203020560A5A207374726F6B650A312E3030302055500A312E30303020554C0A4C54620A7374726F6B650A67726573746F72650A656E640A73686F77706167650A2525547261696C65720A2525446F63756D656E74466F6E74733A2048656C7665746963610A>|ps>||||||>|<label|fig-volumengiroy>>

    De la gr�fica se puede ver que la regi�n de integraci�n es
    <math|x\<in\>[0,1]> pero en este intervalo no hay curva que integrar de
    modo que <math|V> no es posible calcularlo, puesto que cuando <math|x=0>,
    <math|y> no tiene valor real y cuando <math|x=1>, <math|y=0>

    <\folded-env>
      \;
    <|folded-env>
      <\session|gnuplot|default>
        <\unfolded-io>
          GNUplot]\ 
        <|unfolded-io>
          set grid; set samples 5000;set style line 1 lc rgb 'blue' lt 1 lw
          3; plot[.5:3] sqrt(x-1) ls 1, -sqrt(x-1) ls 1
        <|unfolded-io>
          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A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31203020560A7374726F6B65203639323820343235204D0A32202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31203020560A32202D3120560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31203020560A31202D3120560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31203020560A31202D3120560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A31203020560A31203020560A32203020560A31202D3120560A7374726F6B650A312E30303020554C0A4C54620A3731342034383732204E0A37313420323830204C0A36323736203020560A30203435393220560A2D36323736203020560A5A207374726F6B650A312E3030302055500A312E30303020554C0A4C54620A7374726F6B650A67726573746F72650A656E640A73686F77706167650A2525547261696C65720A2525446F63756D656E74466F6E74733A2048656C7665746963610A>|ps>||||||>
        </unfolded-io>

        <\input>
          GNUplot]\ 
        <|input>
          \;
        </input>
      </session>
    </folded-env>
  </unfolded-env>

  <\exercise>
    Halle el volumen del s�lido generado por <math|y=<frac|1|x<rsup|3>>> al
    rotar al rededor del eje <math|y> para <math|x\<in\>[1,\<infty\>)>
  </exercise>

  <\unfolded-env>
    <strong|Soluci�n:>
  <|unfolded-env>
    hacemos la gr�fica de la funci�n y nos queda como en la figura
    <reference|fig-xcuboinverso>:

    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    Al ponerla a girar en torno a <math|y> queda el volumen, por el m�todo de
    capas cil�ndricas, como <math|V=2*\<pi\><big|int><rsub|1><rsup|\<infty\>>x<frac|1|x<rsup|3>>\<mathd\>x=2*\<pi\>*lim<rsub|b\<rightarrow\>\<infty\>><big|int><rsub|1><rsup|b><frac|1|x<rsup|2>>\<mathd\>x=2*\<pi\>lim<rsub|b\<rightarrow\>\<infty\>>-<frac|1|x><right|]><rsub|1><rsup|b>=2*\<pi\><left|[>lim<rsub|b\<rightarrow\>\<infty\>>-<frac|1|b>+1<right|]><rsup|>>
    pero cuando <math|b\<rightarrow\>\<infty\>> el cociente
    <with|mode|math|1/b\<rightarrow\>0> de modo que el volumen es
    <math|V=2*\<pi\>>

    <\folded-env>
      \;
    <|folded-env>
      <\session|gnuplot|default>
        <\unfolded-io>
          GNUplot]\ 
        <|unfolded-io>
          set grid; set style line 1 lt 1 lc rgb 'blue' lw 3;
          plot[0:3][0:2]1/x**3 ls 1
        <|unfolded-io>
          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Attachment: Hab_CII_I_2011_sol.pdf
Description: Adobe PDF document
Re: [TeXmacs] Un salto de página indeseado, luis jaime salazar ramírez, 07/11/2011
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