7KH UDWLR WR
7KH QXPHUDWRU
7KH GHQRPLQDWRU
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
V DQG W DUH SRVLWLYH TXDQWLWLHV
V W
7KH UDWLR RI W WR V
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
,I V ! DQG W
V W
W WR V
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
7KHUH DUH ILJV DQG WRPDWRHV DQG QR RWKHU IRRG LQ D EDVNHW
7KH UDWLR RI WKH QXPEHU RI 7KH UDWLR RI WKH QXPEHU RI ILJV WR WKH QXPEHU RI WRPDWRHV WR WKH QXPEHU RI WRPDWRHV IRRG
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
7KHUH DUH DSSOHV DQG RUDQJHV DQG QR RWKHU IRRG LQ D EDVNHW
7KH UDWLR RI WKH QXPEHU RI DSSOHV WR RUDQJHV
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
WR
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
U V DQG W DUH SRVLWLYH QXPEHUV
U WR V WR W
U · V · W
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
,I WKHUH DUH DSSOHV SHDUV DQG RUDQJHV LQ D EDVNHW
7KH UDWLR RI WKH QXPEHU RI 7KH JUHDWHVW FRPPRQ SHDUV WR DSSOHV GLYLVRU RI DQG
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
WR WR
WR WR
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
[
[
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
7KH QXPEHU RI UDWLRV LQ D SURSRUWLRQ
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
D E F
D
D E F
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
$PHULFDQ VWDPS DUH ZRUWK ,QGLDQ VWDPSV %ULWLVK VWDPSV DUH ZRUWK $PHULFDQ 6WDPSV $PHULFDQ 6WDPSV DUH ZRUWK &KLQHVH VWDPSV
%ULWLVK 6WDPSV WR ,QGLDQ %ULWLVK 6WDPSV WR &KLQHVH 6WDPSV 6WDPSV
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ
FDORULH 'HJUHH RI ERG\ WHPSHUDWXUH DFKLHYHG )DW JUDP FDORULHV *OXFRVH JUDP FDORULHV 3URWHLQ JUDP FDORULHV 0HDO *OXFRVH JUDP 3URWHLQ JUDP )DW JUDP
7KH PLQLPXP QXPEHU RI PHDOV WR KDYH GHJUHHV RI ERG\ WHPSHUDWXUH DFKLHYHG
$ 7KH TXDQWLW\ RQ WKH OHIW LV JUHDWHU % 7KH TXDQWLW\ RQ WKH ULJKW LV JUHDWHU & %RWK DUH HTXDO ' 7KH UHODWLRQVKLS FDQQRW EH GHWHUPLQHG ZLWKRXW IXUWKHU LQIRUPDWLRQ