0% found this document useful (0 votes)
24 views6 pages

Lect 4

The document appears to be a technical or scientific text discussing various aspects of data analysis, possibly related to environmental or atmospheric studies. It includes references to specific methodologies, equations, and parameters used in the analysis. The content is heavily encoded or corrupted, making it difficult to extract coherent information.

Uploaded by

Patrik Jakobsson
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
0% found this document useful (0 votes)
24 views6 pages

Lect 4

The document appears to be a technical or scientific text discussing various aspects of data analysis, possibly related to environmental or atmospheric studies. It includes references to specific methodologies, equations, and parameters used in the analysis. The content is heavily encoded or corrupted, making it difficult to extract coherent information.

Uploaded by

Patrik Jakobsson
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 6

Iùuhoçvqlqj 7

Sxqnwylv nrqyhujhqv

Iùu dww ehvydud ghq fhqwudod iuèjdq rp kxu yço surmhnwlrqhuqd



[
S x+w, @ e? h?l| >
x e? @ +x> h? ,
x +714,
?'3

dssur{lphudu x 5 O2 +W , iùu vwrud yçughq sè Q ehkùyhu yl iùugmxsd vwxglhw


dy irxulhuvhulhu |wwhuoljduh rfk lqiùud hww q|ww fhqwudow ehjuhss1

714 Idowqlqj
Ghqlwlrq 8 Rp x> y 5 O2 +W , ghqlhudu yl idowqlqjhq xy vrp ixqnwlrqhq
]
4 A
x  y +w, @ x +w   , y + , g
W f

Dojheudlvnw xssiùu vlj idowqlqjhq x  y vrp hq surgxnw1

Vdwv 46 Rp x> y> z 5 O2 +W , vè çu idowqlqjvsurgxnwhq=

41 Nrppxwdwly x  y @ y  x

51 Dvvrfldwly +x  y,  z @ x  +y  z,

61 Glvwulexwly +dx . ey,  z @ dx  y . ex  z> gçu d rfk e çu nrqvwdqwhu

Ehylv1 Yl ylvdu 41 Hjhqvndshq 5 ylvdv sè olnqdqgh vçww rfk 6 çu hq


rphghoedu iùomg dy lqwhjudohqv olqhdulwhw1 Ghw jçoohu dww
] ]
4 A 4 |3A
x  y+w, @ x+w  v,y+v, gv @  x+ ,y+w   , g @
W f W |
] ]
4 | 4 A
x+ ,y+w   , g @ x+ ,y+w   , g @ y  x+w,
W |3A W f

56
57 IÙUHOÇVQLQJ 71 SXQNWYLV NRQYHUJHQV

L qçvw vlvwd olnkhwhq kdu yl xwq|wwmdw uhvxowdwhw iuèq ùyqlqj 6 rfk dww ixqn0
wlrqhq  :$ x+ ,y+w   , kdu shulrg W 1
Qrupdow kdu ixqnwlrqhq xy eçwwuh uhjxodulwhw çq xuvsuxqjvixqnwlrqhuqd
x rfk y1 Ghwwd çu hq ylnwlj hjhqvnds krv idowqlqjhq vrp jùu ghq dqyçqgedu
ylg dssur{lpdwlrqhu dy rolnd vodj1 Idowqlqjhqv xwmçpqdqgh ndudnwçu eolu
w|golj rp yl oèwhu y ydud ndudnwçulvwlvnd ixqnwlrqhq iùu hww lqwhuydoo ^d> e` >
gçu 3  d  w  e ? W 1

H{hpsho 8 Oèw y 5 O2 +W , phg y +w, @ 4 iùu 3  d  w  e ? W rfk


y +w, @ 3 iùu ùyuljd w l lqwhuydoohw 3  w  W 1 Gè eolu phg yduldehoe|whw
 @w
] ]
4 K 4 |3@
x  y +w, @ x +w   , g @ x +, g
W @ W |3K
ylonhw ylvdu dww z @ x  y ndq xssidwwdv vrp hww jolgdqgh phghoyçugh dy
x1 Ghvvxwrp çu z nrqwlqxhuolj hiwhuvrp x çu lqwhjudeho rfk çu x ghvvxwrp
nrqwlqxhuolj eolu z nrqwlqxhuoljw ghulyhuedu1 Dy glvwulexwlyd odjhq iùomhu rfnvè
dww x  y çu nrqwlqxhuolj iùu dood wudssixqnwlrqhu y1

Phud jhqhuhoow jçoohu iùomdqgh vdwv1

Vdwv 47 Rp x> y 5 O2 +W , vè çu x  y hq ehjuçqvdg rfk nrqwlqxhuolj W 0


shulrglvn ixqnwlrq1 Çu ghvvxwrp x ghulyhuedu phg x 5 O2 +W , vè çu x  y
nrqwlqxhuoljw ghulyhuedu rfk +x  y, @ x  y1

Ehylv1 Dww x  y çu shulrglvn phg shulrg W rp x çu ghw iùomhu gluhnw dy


ghqlwlrqhq1 Phg x| + , @ x +w   , ndq idowqlqjhq vnulydv vrp hq vndoçusur0
gxnw x  y +w, @ +x| > y, rfk dy Fdxfk|v rolnkhw +vdwv 7, iùomhu dww

mx  y +w,m  nx| n nyn @ nxn nyn

ylonhw ylvdu dww x  y çu ehjuçqvdg1


Oèw vhgdq % A 3 ydud jlyhw rfk y hq jrgw|fnolj ixqnwlrq l O2 +W ,1 Yçom
hq wudssixqnwlrq * 5 O2 +W , vè dww ny  *n ? %@7 nxn1 Gè ièu yl

mx  y +w . v,  x  y +w,m @ m+x|nr  x| > y,m @ m+x|nr  x| > y  *, . +x|nr  x| > *,m


 m+x|nr  x| > y  *,m . m+x|nr  x| > *,m
 nx|nr  x| n ny  *n . mx  * +w . v,  x  * +w,m
 5 nxn ny  *n . mx  * +w . v,  x  * +w,m
%
? . mx  * +w . v,  x  * +w,m
5
phq gè x  * hqoljw dqpçunqlqjhq l h{hpsho 8 çu nrqwlqxhuolj qqv  vè dww
mvm ?  phgiùu dww mx  * +w . v,  x  * +w,m ? %@5 rfk gçuphg mx  y +w . v,  x  y +w,m ?
% ylonhw ylvdu dww x  y çu nrqwlqxhuolj1
7151 IDOWQLQJ RFK IRXULHUVHULHU 58

Rp ghvvxwrp x 5 O2 +W , vè çu çyhq x  y nrqwlqxhuolj rfk yl kdu


] % ] % ] A ] ] % 
 4  4 A 
x  y +w, gw @ x +w   , y + , g gw @ x +w   , gw y + , g
@ W @ f W f @
] ] %  ]
4 A  4 A
@ x +w   , gw y + , g @ ^x +{   ,  x +d   ,` y + , g
W f @ W f
@ x  y +{,  x  y +d,

ylonhw ylvdu dww x  y çu nrqwlqxhuoljw ghulyhuedu phg +x  y, @ x  y1

715 Idowqlqj rfk irxulhuvhulhu


Hq dqohgqlqj wloo dww idowqlqj rfk irxulhuvhulhu kùu lqwlpw vdppdq çu iùomdqgh
vdwv1

2 +W , phg x 
S" S"
Vdwv 48 RpS"x> y 5 O ?l| e? h?l|
3" x rfk y  e? h?l|
3" y vè
çu x  y  3" x e? ye? h 1

Ehylv1 Yl kdu
] ] A] A
4 A 4
x  y+w,h3?l| gw @ 2 x+w  v,y+v,h3?l| gvgw
W f W f f
] A] A
4
@ 2 x+w  v,y+v,h3?lE|3r h3?lr gvgw
W f f
] A ] A
4 3?lr
@ 2 y+v,h x+w  v,h3?lE|3r gwgv
W f f
 ] A  ] A 
4 3?lr 4 3?l
@ y+v,h gv x+ ,h g @ ye? x
e?
W f W f

Yl kdu vrp ydqoljw rfnvè xwq|wwmdw dww


] A ] A 3r ] A
3?lE|3r 3?l
x+w  v,h gw @ x+ ,h g @ x+ ,h3?l g
f 3r f

hiwhuvrp ixqnwlrqhuqd kdu shulrg W 1

H{hpsho 9 Lqrp vljqdowhrulq lqwuhvvhudu pdq vlj iùu dxwrnruuhodwlrqvixqn0


wlrqhq
]
4 A
* +w, @ x +w .  , x + ,g
W f
wloo hq vljqdo x 5 O2 +W ,1 Ehuçnqd irxulhunrh!flhqwhuqd wloo *1
59 IÙUHOÇVQLQJ 71 SXQNWYLV NRQYHUJHQV

Oùvqlqj1 Yduldehoe|whw  @ v rfk y +w, @ x +w, jhu dww


] ]
4 3A 4 f
* +w, @  x +w  v, x +v,gv @ x +w  v, x +v,gv
W f W 3A
]
4 A
@ x +w  v, x +v,gv @ x  y +w,
W f

Hqoljw vdwv 48 çu * e? ye? rfk yl kdu ghvvxwrp


e? @ x
] A ] A ] 3A
4 4 4
ye? @ x+w,h3?l| gw @ x+w,h?l| gw @  x+v,h3?lr gv
W f W f W f
] f ] A
4 4
@ x+v,h3?lr gv @ x+v,h3?lr gv @ x
e?
W 3A W f

ylonhw jhu * e? x
e? @ x x? m2 1 Irxulhunrh!flhqwhuqd wloo * lqqhkèoohu doowvè
e? @ me
lqirupdwlrq rp vljqdohqv hhnwvshnwuxp1

716 Glulfkohwv vdwv


Hww dqqdw vdpedqg phoodq irxulhuvhulhu rfk idowqlqj xsswuçghu gè yl dqdo|0
vhudu surmhnwlrqvrshudwruq S ghqlhudg iùu x 5 O2 +W , jhqrp +714,1 Phg
e? lqvdww l vxppdq ièu yl
iruphoq +515, iùu x
 
[ ] 
4 A 3?l
S x +w, @ x+ ,h g h?l|
W f
?'3
] A 
[
4
@ h?lE|3  x+ ,g @ s  x +w,
W f ?'3

S
gçu s +w, @  ?'3 h
?l| 1 Ixqnwlrqhq s
 ndoodv Glulfkohwv nçuqd rfk kdu
iùomdqgh hjhqvndshu1

Vdwv 49 Iùu s +w, jçoohu

41 s +w, @ s +w, rfk s +w . W , @ s +w, > gçu W @ 5@


UA
51 A f s +w, gw @ 4
  S  ?l| 
61 4  hl| s +w, @  ?'3 h  hE?nl| @ h3l|  hEnl|

Yl ndq qx ylvd ghw iùuvwd l hq udg dy nrqyhujhqvuhvxowdw iùu irxulhuvhulhu1

Vdwv 4: +Glulfkohwv vdwv, Rp x 5 O2 +W , vè çu x +w, @ olp <n" S x +w,


iùu ydumh {w w gçu x çu ghulyhuedu1
7171 VSUÈQJGLVNRQWLQXLWHWHU 5:

Ehylv1 Ghw jçoohu dww y @ x  S x @ x  x  s vrp xwvnulyhw iùu hww


{w w rfk phg lgrjw dqyçqgdqgh dy vdwv 49 eolu
] ]
4 A 4 A *2
y +w, @ x +w,  x +w   , s + , g @ ^x +w,  x +w   ,` s + , g
W f W 3A *2
]  
4 A *2 x +w,  x +w   ,  
@ l
4  hl s + , g
W 3A *2 4h
] A *2  
4
@ * + , h3l  hEnl g @ * e  * e33
W 3A *2

w| rp x +w, h{lvwhudu ndq yl ghqlhud


+
E|3E|3 
3el
>  9@ 3
* + , @  E|
 l >  @3

rfk gè çu * 5 O2 +W ,1 Dy Ulhpdqq0Ohehvjxhv ohppd +vdwv 43, iùomhu gè


e  olp<n" *
dww olp <n" y +w, @ olp<n" * e33 @ 3> ylonhw vnxooh
ehylvdv1

H{hpsho : Ixqnwlrqhq l h{hpsho 5 çu ghulyhuedu iùu dood w vrp lqwh çu


khowdo1 Dy vdwv 4: iùomhu gè dww

4

[ 3
hE2?nZ| 4 [ 5 vlq +5q . 4, w  3> 4 ? w ? 3
3
. olp @ . olp @
5  <n" l +5q . 4,  5 <n" ?'f +5q . 4,  4> 3 ? w ? 4
?'3

rfk vèohghv jçoohu iùu 3 ? w ? 4 dww


"
[ vlq +5q . 4, w 
@
?'f
5q . 4 7

Revhuyhud dww vhulhq lqwh çu devroxwnrqyhujhqw1

717 Vsuèqjglvnrqwlqxlwhwhu
Iùuxwvçwwqlqjhq rp ghulyhuedukhw l vdwv 4: ndq plogudv qèjrw1 Ghw çu wloo0
uçfnoljw dww juçqvyçughqd
x +w .  ,  x +w ,
olp x +w .  , @ x +w , rfk olp
<f <f 
h{lvwhudu1 Phg hq prglhulqj dy ehylvhw +vh ^9/ Ohvvrq 8` hoohu ^49/ Nds1 5/
dyvqlww 7`, ièu pdq gè l vwçoohw dww
x +w., . x +w,
olp S x +w, @ +715,
 <n" 5
5; IÙUHOÇVQLQJ 71 SXQNWYLV NRQYHUJHQV

H{hpsho ; Ixqnwlrqhq l h{hpsho 5 xssi|oohu iùuxwvçwwqlqjduqd rydq rfk


hiwhuvrp x +3., @ x +3, @ 4 rfk x +3, @ 3 kdu yl
;
4
3
[ hE2?nZ| ? 3> 4 ? w ? 3
. olp @ 4@5> w @ 3
5 <n" l +5q . 4,  =
?'3 4> 3?w?4

718 Ùyqlqjdu
41 Xwq|wwmd h{hpsho 4 rfk vdwv 4: iùu dww ylvd iruphoq
"
[ frv +5q . 4, w 2
@ +4  5w,
?'f +5q . 4,2 ;

iùu 3 ? w ? 41 Nrqwuroohud vyduhw phg Pdsoh hoohu PDWODE1

51 Oèw x 5 O2 +5, phg x+w, @ w2 iùu   w ? 1 Xwyhfnod x l irxulhuvhulh


rfk dqyçqg vdwv 4: iùu dww vxpphud vhulhuqd
"
[ ["
+4,?n 4
>
?'
q2 ?'
q2

61 Ehvwçp hq oùvqlqj x 5 O2 +, wloo lqwhjudohnydwlrqhq


] Z
m vlq+w  v,mx+v, gv @ frv 5w
f

71 Ylvd dww lqwhjudohnydwlrqhq


] 2Z
vlq+w  v,x+v, gv @ i +w,
f

kdu oùvqlqjdu x 5 O2 +5, rp rfk hqgdvw rp i +w, @ d vlq w . e frv w1


Ehvwçp hq vègdq oùvqlqj1

81 Ehvwçp hq oùvqlqj x 5 O2 +5, wloo glhuhqv0glhuhqwldohnydwlrqhq

x +w, . x+w  4, @ frv2 w

91 Ylvd vdwv 491

You might also like