| 
                   
                Examples of SpeedTools Logical Functions: 
                Row Functions 
                The OR.ROWS formula is array-entered (Control-Shift-Enter) in the column as 
                {=OR.ROWS(A2:A21,B2:B21,C2:C21)} 
                The AND.ROWS formula is array-entered (Control-Shift-Enter) in the column as 
                {=AND.ROWS(A2:A21,B2:B21,C2:C21)} 
                The functions have evaluated each row of the data to produce a corresponding True/False 
                
                  
                    
                      | 
                         Data 
                       | 
                      
                           
                       | 
                      
                         OR.ROWS 
                       | 
                      
                         AND.ROWS 
                       | 
                     
                    
                      | 
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         FALSE 
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                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
                      | 
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         fred 
                       | 
                      
                         joe 
                       | 
                      
                         bill 
                       | 
                      
                           
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         1 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         FALSE 
                       | 
                      
                         -1 
                       | 
                      
                         FALSE 
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         0.001 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
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                         TRUE 
                       | 
                      
                         joe 
                       | 
                      
                         bill 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         fred 
                       | 
                      
                         TRUE 
                       | 
                      
                         bill 
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         fred 
                       | 
                      
                         joe 
                       | 
                      
                         TRUE 
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         FALSE 
                       | 
                      
                         joe 
                       | 
                      
                         bill 
                       | 
                      
                           
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         fred 
                       | 
                      
                         FALSE 
                       | 
                      
                         bill 
                       | 
                      
                           
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         fred 
                       | 
                      
                         joe 
                       | 
                      
                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
                       | 
                      
                         0 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                Column Functions: 
                
                  
                    
                      | 
                         Data 
                       | 
                     
                    
                      | 
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         1 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         -1 
                       | 
                      
                         FALSE 
                       | 
                      
                         0 
                       | 
                     
                    
                      | 
                         1 
                       | 
                      
                         TRUE 
                       | 
                      
                         0 
                       | 
                     
                    
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                       | 
                      
                           
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                      | 
                         {=AND.COLS(A55:C58)} 
                       | 
                     
                    
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
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                         {=OR.COLS(A55:C58)} 
                       | 
                     
                    
                      | 
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                   
                 
                The functions have evaluated each column of the data to produce a corresponding True/False 
                CELL Functions: 
                {=OR.CELLS($A$2:$C$21,$E$2:$G$19)}  
                {=AND.CELLS($A$2:$C$21,$E$2:$G$19)} 
                The functions have evaluated each corresponding element in the 2 data tables to produce a corresponding array of True/False. 
                  
                
                  
                    
                      | 
                         Data 
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                         More Data 
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                         OR.CELLS 
                       | 
                      
                           
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                         AND.CELLS 
                       | 
                     
                    
                      | 
                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                      | 
                         fred 
                       | 
                      
                         joe 
                       | 
                      
                         bill 
                       | 
                      
                           
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         1 
                       | 
                      
                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         FALSE 
                       | 
                      
                         -1 
                       | 
                      
                         FALSE 
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                         TRUE 
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                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         TRUE 
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                         TRUE 
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                         TRUE 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         0.001 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         TRUE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         TRUE 
                       | 
                      
                         joe 
                       | 
                      
                         bill 
                       | 
                      
                           
                       | 
                      
                         fred 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         fred 
                       | 
                      
                         TRUE 
                       | 
                      
                         bill 
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                         FALSE 
                       | 
                      
                         FALSE 
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                         TRUE 
                       | 
                      
                           
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                         FALSE 
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                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         fred 
                       | 
                      
                         joe 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         FALSE 
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                         TRUE 
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                         TRUE 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
                      | 
                         FALSE 
                       | 
                      
                         joe 
                       | 
                      
                         bill 
                       | 
                      
                           
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                         FALSE 
                       | 
                      
                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         fred 
                       | 
                      
                         FALSE 
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                         bill 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
                       | 
                      
                         FALSE 
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                         FALSE 
                       | 
                     
                    
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                         fred 
                       | 
                      
                         joe 
                       | 
                      
                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
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                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                         FALSE 
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
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                         TRUE 
                       | 
                      
                         0 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                   
                 
                  
                Comparison of ANY ALL NONE with Excel AND/OR 
                Differences are highlighted in yellow. 
                
                  
                    
                      | 
                         Data 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         OR 
                       | 
                      
                         AND 
                       | 
                      
                         OR.ROWS 
                       | 
                      
                         ANY 
                       | 
                      
                         ALL 
                       | 
                      
                         NONE 
                       | 
                     
                    
                      | 
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         99 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         -99 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
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                         FALSE 
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                         FALSE 
                       | 
                     
                    
                      | 
                         0 
                       | 
                      
                         FALSE 
                       | 
                      
                           
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         TRUE 
                       | 
                     
                    
                      | 
                         24/09/1943 
                       | 
                      
                         FALSE 
                       | 
                      
                           
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                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         1 
                       | 
                      
                         FALSE 
                       | 
                      
                           
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                         FALSE 
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                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                     
                    
                      | 
                         #DIV/0! 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #DIV/0! 
                       | 
                      
                         #DIV/0! 
                       | 
                      
                         #DIV/0! 
                       | 
                      
                         #DIV/0! 
                       | 
                      
                         #DIV/0! 
                       | 
                      
                         #DIV/0! 
                       | 
                     
                    
                      | 
                         #N/A 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #N/A 
                       | 
                      
                         #N/A 
                       | 
                      
                         #N/A 
                       | 
                      
                         #N/A 
                       | 
                      
                         #N/A 
                       | 
                      
                         #N/A 
                       | 
                     
                    
                      | 
                         #NAME? 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #NAME? 
                       | 
                      
                         #NAME? 
                       | 
                      
                         #NAME? 
                       | 
                      
                         #NAME? 
                       | 
                      
                         #NAME? 
                       | 
                      
                         #NAME? 
                       | 
                     
                    
                      | 
                         #NULL! 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
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                         #NULL! 
                       | 
                      
                         #NULL! 
                       | 
                      
                         #NULL! 
                       | 
                      
                         #NULL! 
                       | 
                      
                         #NULL! 
                       | 
                      
                         #NULL! 
                       | 
                     
                    
                      | 
                         #NUM! 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #NUM! 
                       | 
                      
                         #NUM! 
                       | 
                      
                         #NUM! 
                       | 
                      
                         #NUM! 
                       | 
                      
                         #NUM! 
                       | 
                      
                         #NUM! 
                       | 
                     
                    
                      | 
                         #REF! 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #REF! 
                       | 
                      
                         #REF! 
                       | 
                      
                         #REF! 
                       | 
                      
                         #REF! 
                       | 
                      
                         #REF! 
                       | 
                      
                         #REF! 
                       | 
                     
                    
                      | 
                         #VALUE! 
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                     
                    
                      | 
                           
                       | 
                      
                         FALSE 
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
                      | 
                         fred 
                       | 
                      
                         TRUE 
                       | 
                      
                           
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                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
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                         FALSE 
                       | 
                     
                    
                      | 
                           
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                         FALSE 
                       | 
                      
                           
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                         FALSE 
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                         FALSE 
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                         FALSE 
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                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
                      | 
                           
                       | 
                      
                         FALSE 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
                      | 
                         fred 
                       | 
                      
                         joe 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         FALSE 
                       | 
                      
                         TRUE 
                       | 
                     
                    
                      | 
                         22 
                       | 
                      
                         11 
                       | 
                      
                           
                       | 
                      
                           
                       | 
                      
                         #VALUE! 
                       | 
                      
                         #VALUE! 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         TRUE 
                       | 
                      
                         FALSE 
                       | 
                     
                   
                 
                  
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