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+* Opgave 1
+
+ Dette er opgave 2.1 fra bogen, på side 86.
+
+** Del opgave A
+
+ #+BEGIN_QUOTE
+ Perform a horizontal fragmentation of relation EMP with respect /{ p1, p2 }/.
+ #+END_QUOTE
+ Her er /p1/ og /p2/ forklaret i opgaven.
+
+ | ENO | ENAME | TITLE |
+ |-----+----------+-------------|
+ | E1 | J. Doe | Elect. Eng. |
+ | E3 | A. Lee | Mech. Eng. |
+ | E6 | L. Chu | Elect. Eng. |
+ | E7 | R. Davis | Mech. Eng. |
+ |-----+----------+-------------|
+ | E2 | M.Smith | Syst. Anal. |
+ | E5 | B. Casey | Syst. Anal. |
+ | E8 | J. Jones | Syst. Anal. |
+
+ Desuden, wow hvor er tabel toolet her godt.
+
+** Del opgave B
+
+ #+BEGIN_QUOTE
+ Explain why the resulting fragmentation /(EMP1, EMP2)/ does not fullfill the correctness of fragmentation.
+ #+END_QUOTE
+
+ Well i guess thats because p1 and p2 did not include "Programmer",
+ so now if you join the partitions you wont get the full thing.
+
+** Del opgave C
+
+ #+begin_quote
+ Modify the predicates p1 and p2 so that they partition EMP obeying the correctless rules of fragmentation.
+ To do this, modify the predicates, compose all minterm predicates and deduce the corresponding implications,
+ and then perform a horizontal fragmentation of EMP based on these minterm predicates.
+ Finally, show that the result has completeness, reconstruction, and disjointness properties
+ #+end_quote
+
+ Okay so the predicates become:
+
+ \begin{align*}
+p_1 &= \mathtt{TITLE} \leq "Programmer" \\
+p_2 &= \mathtt{TITLE} > "Programmer"
+ \end{align*}
+
+ | ENO | ENAME | TITLE |
+ |-----+-----------+-------------|
+ | E1 | J. Doe | Elect. Eng. |
+ | E3 | A. Lee | Mech. Eng. |
+ | E6 | L. Chu | Elect. Eng. |
+ | E7 | R. Davis | Mech. Eng. |
+ | E4 | J. Miller | Programmer |
+ |-----+-----------+-------------|
+ | E2 | M.Smith | Syst. Anal. |
+ | E5 | B. Casey | Syst. Anal. |
+ | E8 | J. Jones | Syst. Anal. |
+
+ Nu kan vi se at completeness er opfyldt, og at ved at join de to partition får den originale tabel.