PKSXlXñB–Hmimetypetext/x-wxmathmlPKSXlXQdBV55 format.txt This file contains a wxMaxima session in the .wxmx format. .wxmx files are .xml-based files contained in a .zip container like .odt or .docx files. After changing their name to end in .zip the .xml and eventual bitmap files inside them can be extracted using any .zip file viewer. The reason why part of a .wxmx file still might still seem to make sense in a ordinary text viewer is that the text portion of .wxmx by default isn't compressed: The text is typically small and compressing it would mean that changing a single character would (with a high probability) change big parts of the whole contents of the compressed .zip archive. Even if version control tools like git and svn that remember all changes that were ever made to a file can handle binary files compression would make the changed part of the file bigger and therefore seriously reduce the efficiency of version control wxMaxima can be downloaded from https://github.com/wxMaxima-developers/wxmaxima. It also is part of the windows installer for maxima (https://wxmaxima-developers.github.io/wxmaxima/). If a .wxmx file is broken but the content.xml portion of the file can still be viewed using an text editor just save the xml's text as "content.xml" and try to open it using a recent version of wxMaxima. If it is valid XML (the XML header is intact, all opened tags are closed again, the text is saved with the text encoding "UTF8 without BOM" and the few special characters XML requires this for are properly escaped) chances are high that wxMaxima will be able to recover all code and text from the XML file. PKSXlXå=»‘33 content.xml Kedvenc Matematikai Kísérleteim Alapok Halmazok Számok Határérték Folytonosság Távolság, környezetek, korlátosság BelsÅ‘, izolált és torlódási pontok Nyílt és zárt halmazok Ãllítás Ãllítás Példák Feladat Például k+1/n, k=1,2,3; n=1,2,... Feladat Az elsÅ‘ igen, a második nem Feladat -1/2, 1; Feladat {1/m}, határa ez meg a halmaz, belseje üres Definíció Feladat kill(all); (%o0) done (1) solve(y=(x+1)/(x-1),x); (%o1) [x=y+1y−1] (2) solve(y=1/(2*x+3),x); (%o2) [x=−3*y−12*y] (3) x>0; (%o3) x>0 solve(y=x/(1+x),x); (%o4) [x=−yy−1] x<0; (%o5) x<0 solve(y=x/(1-x),x); (%o6) [x=yy+1] y/(1-abs(y)); (%o7) y1−y Feladat (f(x)+f(-x))/2; (f(x)-f(-x))/2; (%o8) f

x

+f

−x

2(%o9) f

x

−f

−x

2 Folytonosság Példák plot2d(%pi,[x,-4,4])$ Message from maxima's stderr stream: Warning: empty y range [3.14159:3.14159], adjusting to [3.11018:3.17301]Message from maxima's stderr stream: Warning: empty y range [3.14159:3.14159], adjusting to [3.11018:3.17301] plot2d(x,[x,-4,4])$ plot2d(abs(x),[x,-4,4])$ A Dirichlet-függvény Példa plot2d(signum(x),[x,-4,4],[y,-1.2,1.2])$ Tétel Tétel kill(all); (%o0) done f(x):=if equal(x,0) then 0. else sin(1/x); f(0); f(1); (%o1) f

x

:=if equal

x,0

 then 0 else sin

1x

(%o2) 0(%o3) sin

1

 plot2d([f(x),x,x*f(x)],[x,-1,1])$ Tétel Következmény Tétel Weierstrass tétele Példák plot2d([1/x,x],[x,-5,5],[y,-5,5],same_xy)$ plot2d: expression evaluates to non−numeric value somewhere in plotting range.plot2d: some values were clipped. Bolzano tétele kill(all); (%o0) done g(x):=cos(x)-x; (%o2) g

x

:=cos

x

−x g(0); g(1); (%o17) 1(%o18) cos

1

−1 g(1.); (%o19) cos

1

−1 Ez nem elég! g(1.0); (%o20) −0.4596976941318602 g(1.0/2); (%o13) 0.3775825618903727 g(3.0/4); (%o14) −0.0183111311261791 g(5.0/8); (%o15) 0.1859631195052179 g(11.0/16); (%o16) 0.0853349461524715 Következmény Következmény Jobb és bal oldali folytonosság Példa Θ(x):=if x<=0 then 0 else 1; (%o21) Θ

x

:=if x<=0 then 0 else 1 plot2d(Θ(x),[x,-4,4],[y,-2,2])$ Tétel Következmény: a gyökvonás folytonossága plot2d([x^(1/2),x^(1/3),x^(1/4)],[x,0,4])$ Feladat Alkalmazzuk Bolzano tételét f(x)-x-re. PKSXlXñB–HmimetypePKSXlXQdBV55 5format.txtPKSXlXå=»‘33 ’content.xmlPK§Ï9