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Samenvatting Data Structures and Algorithms in Java

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Deze samenvatting kan gebruikt worden als voorbereiding op het vak Algoritmiek I aan de Hanzehogeschool. Tijdens dit vak zijn onder andere behandelt: hoe werken algoritmen, hoe wordt bewezen dat de ene sneller is dan de andere, en hoe worden deze in java geimplementeerd. Wat je gaat leren: - Standaardalgoritmes voor veel voorkomende problemen - Datastucturen die je in dergelijke algoritmes kan toepassen - Implementeren van algoritmes in Java - Bewijzen van eigenschappen zoals correctheid en performance van algoritmes

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ALGORITMIEK I
ICTVT SE 2.1
Samenvatting

,TABLE OF CONTENTS
1. COMPLEXITEITSANALYSE....................................................................................... 4
ANALYSETYPES ............................................................................................................... 4
VEELVOORKOMENDE MATHEMATISCHE FUNCTIES....................................... 5
DE CONSTANTE FUNCTIE....................................................................................... 5
DE LOGARITMISCHE FUNCTIE .............................................................................. 5
DE LINEARE FUNCTIE ................................................................................................ 5
DE N-LOG-N FUNCTIE ................................................................................................ 5
DE KWADRATISCHE FUNCTIE............................................................................... 6
DE HOGEREMACHTS FUNCTIE.............................................................................. 6
DE EXPONENTIELE FUNCTIE ................................................................................. 6
BIG-OH NOTATIE ............................................................................................................ 7
REKENREGELS v. DOUWES ......................................................................................... 8
2. LOGICA ............................................................................................................................ 9
PROPOSITIELOGICA ...................................................................................................... 9
PREDIKATENLOGICA ..................................................................................................10
3. RECURSIE EN INDUCTIE .........................................................................................12
INDUCTIE .........................................................................................................................12
RECURSIE..........................................................................................................................13
4. ARRAYS EN LINKED LISTS .....................................................................................14
ARRAYS .............................................................................................................................14
LINKED LISTS ..................................................................................................................15
DOUBLY LINKED LISTS...............................................................................................16
CIRCULARLY LINKED LISTS......................................................................................17
5. STACKS, QUEUES EN LIJSTEN ..............................................................................18
STACKS..............................................................................................................................18
QUEUE ...............................................................................................................................19
LIST .....................................................................................................................................19
6. HASH MAPS ..................................................................................................................21
MAP .....................................................................................................................................21
HASH ..................................................................................................................................22
SET.......................................................................................................................................23
7. SORTEREN ....................................................................................................................24

2

, BUBBLE SORT .................................................................................................................24
MERGE SORT ...................................................................................................................25
SORTEREN MET VERGELIJKINGEN.........................................................................26
QUICK SORT....................................................................................................................26
BUCKET SORT ................................................................................................................27
EINDCONCLUSIE SORTEERALGORITMES...........................................................27




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2, 3, 4, 5, 6, 7, 10, 13
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