/TABLE/0

Block Format Keyword Defines a table with up to four dimensions using data points.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/TABLE/0/table_ID
table_title
dimension n1 n2 n3 n4          
If dimension = 1, fill the values of the first entry
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
X1 X2 etc        
etc
  etc Xn1        
If dimension = 2, fill additional values of the second entry
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
Y1 Y2 etc        
etc
  etc Yn2        
If dimension = 3, fill additional values of the third entry
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
Z1 Z2 etc        
etc
  etc Zn3        
If dimension = 4, fill additional values of the fourth entry
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
W1 W2 etc        
etc
  etc Wn4        
Fill the values of the table T(Xi, Yj, Zk, and Wl)
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
T1 T2 etc        
etc
etc
                T k MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubWaaS baaSqaaiaadUgaaeqaaaaa@395D@

Definition

Field Contents SI Unit Example
table_ID Table identifier.

(Integer, maximum 10 digits)

 
table_title Table title.

(Character, maximum 100 characters)

 
dimension Total number of entries.

(Integer ≤ 4)

 
n1, ..., ndimension Number of values for entry n1, ..., ndimension.

(Integer)

 
Xi ith value of first entry (1 ≤ i ≤ n1).

(Real)

 
Yj ith value of second entry (1 ≤ i ≤ n2).

(Real)

 
Zk ith value of third entry (1 ≤ i ≤ n3).

(Real)

 
Wl ith value of fourth entry (1 ≤ i ≤ n4).

(Real)

 
Tk kth value of the table ( 1 k n 1 n 1 n d i m e n s i o n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaaIXaGaey izImQaam4AaiabgsMiJkaad6gadaWgaaWcbaGaaGymaaqabaGccqGH flY1caWGUbWaaSbaaSqaaiaaigdaaeqaaOGaeyyXICTaeyyXICTaey yXICTaamOBamaaBaaaleaacaWGKbGaamyAaiaad2gacaWGLbGaamOB aiaadohacaWGPbGaam4Baiaad6gaaeqaaaaa@52FF@ ).

(Real)

 

Example

For dimension=1, the number of table value T is n 1 = 4 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGUbWaaS baaSqaaiaadgdaaeqaaOGaeyypa0JaaGinaaaa@3B0B@ , and the table value are:
  • T ( X = 1.1 ) = 4 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaigdacaGGPaGaeyypa0Ja aGinaaaa@3F69@
  • T ( X = 1.2 ) = 5 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaikdacaGGPaGaeyypa0Ja aGynaaaa@3F6B@
  • T ( X = 1.3 ) = 6 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaiodacaGGPaGaeyypa0Ja aGOnaaaa@3F6D@
  • T ( X = 1.4 ) = 7 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaisdacaGGPaGaeyypa0Ja aG4naaaa@3F6F@
For dimension=2, the number of table value T is n 1 n 2 = 4 × 4 = 16 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGUbWaaS baaSqaaiaadgdaaeqaaOGaeyyXICTaamOBamaaBaaaleaacaaIYaaa beaakiabg2da9iaaisdacqGHxdaTcaaI0aGaeyypa0JaaGymaiaaiA daaaa@4490@ , and some of the table value are:
T ( X = 1.1 , Y = 2.1 ) = 9 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaigdacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGymaiaacMcacqGH9aqpcaaI5aaaaa@442B@ T ( X = 1.1 , Y = 2.2 ) = 13 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaigdacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGOmaiaacMcacqGH9aqpcaaIXaGaaG4maa aa@44E1@
T ( X = 1.2 , Y = 2.1 ) = 10 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaikdacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGymaiaacMcacqGH9aqpcaaIXaGaaGimaa aa@44DE@ T ( X = 1.2 , Y = 2.2 ) = 14 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaikdacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGOmaiaacMcacqGH9aqpcaaIXaGaaGinaa aa@44E3@
T ( X = 1.3 , Y = 2.1 ) = 11 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaiodacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGymaiaacMcacqGH9aqpcaaIXaGaaGymaa aa@44E0@ T ( X = 1.3 , Y = 2.2 ) = 15 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaiodacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGOmaiaacMcacqGH9aqpcaaIXaGaaGynaa aa@44E5@
T ( X = 1.4 , Y = 2.1 ) = 12 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaisdacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGymaiaacMcacqGH9aqpcaaIXaGaaGOmaa aa@44E2@ T ( X = 1.4 , Y = 2.2 ) = 16 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfacqGH9aqpcaaIXaGaaiOlaiaaisdacaGGSaGaamywaiab g2da9iaaikdacaGGUaGaaGOmaiaacMcacqGH9aqpcaaIXaGaaGOnaa aa@44E6@
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/TABLE/0/1003
table type 0 with dimension 1
#dimension        n1        n2        n3        n4
         1         4         0         0         0
#                  X
                 1.1                 1.2                 1.3                 1.4
#                  T
                   4                   5                   6                   7
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/TABLE/0/1004
table type 0 with dimension 2
#dimension        n1        n2        n3        n4
         2         4         4         0         0
#                  X
                 1.1                 1.2                 1.3                 1.4
#                  Y
                 2.1                 2.2                 2.3                 2.4
#                  T
                   9                  10                  11                  12                  13
                  14                  15                  16                  17                  18
                  19                  20                  21                  22                  23
                  24
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata

Comments

  1. A function and a table cannot share the same identifier.
  2. The full grid is input. N1, ... Ndimension is mandatory. If the dimension =1, N1, is mandatory; if the dimension=2, N1 and N2 are mandatory, and so on.
  3. The dimension of a table is the same as the number of input entries.
  4. The input values of the entry must be strictly increasing, let

    X 1 < X 2 << X n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGybWaaS baaSqaaiaaigdaaeqaaOGaeyipaWJaamiwamaaBaaaleaacaaIYaaa beaakiabgYda8iabgwSixlabgwSixlabgwSixlabgYda8iaadIfada WgaaWcbaGaamOBaaqabaaaaa@46EB@

    Y 1 < Y 2 << Y n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGzbWaaS baaSqaaiaaigdaaeqaaOGaeyipaWJaamywamaaBaaaleaacaaIYaaa beaakiabgYda8iabgwSixlabgwSixlabgwSixlabgYda8iaadMfada WgaaWcbaGaamOBaaqabaaaaa@46EE@

    Z 1 < Z 2 << Z n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGAbWaaS baaSqaaiaaigdaaeqaaOGaeyipaWJaamOwamaaBaaaleaacaaIYaaa beaakiabgYda8iabgwSixlabgwSixlabgwSixlabgYda8iaadQfada WgaaWcbaGaamOBaaqabaaaaa@46F1@

    W 1 < W 2 << W n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGxbWaaS baaSqaaiaaigdaaeqaaOGaeyipaWJaam4vamaaBaaaleaacaaIYaaa beaakiabgYda8iabgwSixlabgwSixlabgwSixlabgYda8iaadEfada WgaaWcbaGaamOBaaqabaaaaa@46E8@

  5. The values of the table must be given in the following order:
    • first entry varies first
    • second entry varies as the second one
    • dimension entry varies as the last one

    As an example, let a 3-dimension table and let the four entries be denoted X, Y, and Z: the values of the table must be given in the following order:

    T ( X 1 , Y 1 , Z 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamywamaaBaaa leaacaaIXaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaigdaaeqaaO Gaaiykaaaa@4067@ , T ( X 2 , Y 1 , Z 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGOmaaqabaGccaGGSaGaamywamaaBaaa leaacaaIXaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaigdaaeqaaO Gaaiykaaaa@4068@ , …, T ( X n 1 , Y 1 , Z 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaamOBaiaaigdaaeqaaOGaaiilaiaadMfa daWgaaWcbaGaaGymaaqabaGccaGGSaGaamOwamaaBaaaleaacaaIXa aabeaakiaacMcaaaa@415A@

    T ( X 1 , Y 2 , Z 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamywamaaBaaa leaacaaIYaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaigdaaeqaaO Gaaiykaaaa@4068@ , T ( X 2 , Y 2 , Z 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGOmaaqabaGccaGGSaGaamywamaaBaaa leaacaaIYaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaigdaaeqaaO Gaaiykaaaa@4069@ , …, T ( X n 1 , Y n 2 , Z 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaamOBaiaaigdaaeqaaOGaaiilaiaadMfa daWgaaWcbaGaamOBaiaaikdaaeqaaOGaaiilaiaadQfadaWgaaWcba GaaGymaaqabaGccaGGPaaaaa@424E@

    T ( X 1 , Y 1 , Z 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamywamaaBaaa leaacaaIXaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaikdaaeqaaO Gaaiykaaaa@4068@ , T ( X 2 , Y 1 , Z 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGOmaaqabaGccaGGSaGaamywamaaBaaa leaacaaIXaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaikdaaeqaaO Gaaiykaaaa@4069@ , …, T ( X n 1 , Y 1 , Z 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaamOBaiaaigdaaeqaaOGaaiilaiaadMfa daWgaaWcbaGaaGymaaqabaGccaGGSaGaamOwamaaBaaaleaacaaIYa aabeaakiaacMcaaaa@415B@

    T ( X 1 , Y 2 , Z 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaaGymaaqabaGccaGGSaGaamywamaaBaaa leaacaaIYaaabeaakiaacYcacaWGAbWaaSbaaSqaaiaaikdaaeqaaO Gaaiykaaaa@4069@ , …, T ( X n 1 , Y 2 , Z 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaamOBaiaaigdaaeqaaOGaaiilaiaadMfa daWgaaWcbaGaaGOmaaqabaGccaGGSaGaamOwamaaBaaaleaacaaIYa aabeaakiaacMcaaaa@415C@ , …, T ( X n 1 , Y n 2 , Z 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaamOBaiaaigdaaeqaaOGaaiilaiaadMfa daWgaaWcbaGaamOBaiaaikdaaeqaaOGaaiilaiaadQfadaWgaaWcba GaaGOmaaqabaGccaGGPaaaaa@424F@ , …., T( X n1 , Y n2 , Z n3 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqGqFfpeea0xe9vq=Jb9 vqpeea0xd9q8qiYRWxGi6xij=hbba9q8aq0=yq=He9q8qiLsFr0=vr 0=vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGubGaai ikaiaadIfadaWgaaWcbaGaamOBaiaaigdaaeqaaOGaaiilaiaadMfa daWgaaWcbaGaamOBaiaaikdaaeqaaOGaaiilaiaadQfadaWgaaWcba GaamOBaiaaiodaaeqaaOGaaiykaaaa@4343@