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Scholieren.be • View topic - Discrete wiskunde vragen

Discrete wiskunde vragen

Alles over de vakken : wiskunde, biologie, scheikunde, natuurkunde, informatica

Moderator: bulbanos

Discrete wiskunde vragen

Postby Rudger^ on Mon 04 Oct, 2004 17:48

Rudger^
 

Postby Rudger on Mon 04 Oct, 2004 19:39

t voorbeeld dat in mijn boek staat is het volgende : Ze laten hier zien dat de deelverzamelingen van R niet telbaar zijn.

Veronderstel dat R telbaar is, dan kan je elk element zo voorstellen :

0.a11a12a13a14...
0.a21a22a23a24...
0.a31a32a33a34...

.
.
.
0.ai1ai2ai3ai4...


aij waarbij j het zoveelste getal van het i-ste nummer op eeb lijst is

Stel nu het nummer :

b = 0.b1b2b3b4...


waarbij


bi = [1 als aii = 9
[9 - aii als aii = 0, 1, 2, 3, ..., 8

In het boek zeggen ze nu dat dit getal b niet op de lijst staat b1 verschillend is van a11, b2 verschillend is van a22, etc. Dus de verzameling van nummer tussen 0 en 1 is niet telbaar , dus een deelverzameling van R is niet telbaar, dus R zelf is ook niet telbaar.


Ikzelf snap niet precies hoe ze bij die stelling komen van bii en waarom b niet op de lijst staat. Maar k denk wel dat ik het op zon manier moet bewijzen.
Rudger
 

Postby WoLLe on Mon 04 Oct, 2004 19:48

Die uitleg gaat volgens mij niet eens een leraar wiskunde snappen...

Maar voor zover ik weet is N een deelverzameling van R zonder negatieve getallen en zonder kommagetallen.
Reality exists in a place unknown, and dreams exist within reality.
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Postby bulbanos on Tue 05 Oct, 2004 13:07

Als je je vaak onveilig voelt, hou dan een vork voor je gezicht. Dan lijkt het alsof iedereen in de gevangenis zit.
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Re: Discrete wiskunde vragen

Postby randje² on Thu 28 Oct, 2004 13:00

Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.
(David Hilbert - briljante wiskundige)
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Postby Guest on Sat 17 Jun, 2006 18:43

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Postby ESS-philippe on Sun 18 Jun, 2006 09:26

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