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Samenvatting + Volledig uitgeschreven bewijzen Wiskunde Sem 1 $5.94   Add to cart

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Samenvatting + Volledig uitgeschreven bewijzen Wiskunde Sem 1

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Dit document bevat te leren stellingen, bewijzen, termen, formules en extra theorie die erbij is te kennen. Regelmatig staat er extra info kort bijgeschreven om bepaalde dingen beter te begrijpen. Leer in combinatie met het boek, waar bepaalde onderdelen vollediger staan uitgelegd, om de theorie vo...

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  • February 20, 2024
  • 72
  • 2023/2024
  • Summary
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neorie
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,Samenvatting

,Formulatieresia stelling
*bew kennen
-
bew at kennen

#
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alle totsichsell
roflere :




transitief -
.. 24 + + y -

-
2




symmetrisch : >
equivalentierel
antisymmetrisch :
- Orderelatie
-

allesin relatie tot elboar >
- totaal geordend

orderelatie : maximaal

minimaal

-
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andergrem &o
A


A
supremes &
ook bu 22 72
,




infimem & in pr




Functie : elke + het o of 11

f(x) =
y


(goff(x) =gifix)

Afbclating : Elke X Ref olbe fundic beperkt tot doo

-injectie : 4* 42 = #(1) #f(42)
-surjectie elkeykeeften x waar met [x])

-

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, #2
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* C Em

9 1 2 3
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,
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-
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...,
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T e
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-
V i
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A

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-


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, : inwendig + * EV


associatief (& y/ * 2 =
ye(yer)
· neutraal element nEV en ** = X =N * 4
(woak - of 1)

· symmetrisch element IEVenx I . = n = 78 X

(commutatieve prof : 1, 4 -Ven > &
y =
4 * X)


Veld V, E a : V, commutatieve
groep
-

,




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groep (metanderen
,


-


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dus + 0 (y * 2) =
(104)e(X-2)

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RR? commutat .
groep
-
n- dem . 10, 0
- symm .
Fa, -

b)
seclaire vermenigvuldiging : X (a, b) = Ga, b)

R ...
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bewerking
↳ Jan helfde
Ant , ,
I
d be baby dan betas belf


L
-
n-element (1 af ,



-




symm element : <x, 3)

(a b)
,
.
(X , y) =
M
,
a)


{ax
-

by = 1


-ay + bx = a




10 , 4) k /2 : Ero, a
distributist

(a, b) EC
(a a) EIR
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