demonstration
noun
                                                                                                                            
                                                            dem·on·stra·tion
                    
                                                                                                              
                                                                                                                                  ˌde-mən-ˈstrā-shən  
                                                      
                                                          
            1
                    
                                          
              
          
                                                      : an act, process, or means of demonstrating to the intelligence                                      
              
                             
a demonstration of how to prune a tree
                         
              
                                                      : such as                                      
                
                    
        a(1)
    
                
                                          
              
          
                                                      : conclusive evidence : proof                                      
              
                             
a demonstration of her guilt
                         
                
                    
        (2)
    
          
                                mathematics 
                                  
              
          
                                                      : derivation sense 5                                      
                
                    
        b
    
          
                                          
              
          
                                                      : a showing of the merits of a product or service to a prospective consumer                                      
              
                             
a vacuum cleaner demonstration
                         
                
                    2
                    
                                          
              
          
                                                      : an outward expression or display                                      
              
                             
a demonstration of compassion
                         
                
                    3
                    
                                          
              
          
                                                      : a show of armed force                                      
                
                    
4
                    
                                          
              
          
                                                      : a public display of group feelings toward a person or cause                                      
              
                             
peaceful demonstrations against the government
                                       anti-war demonstrations
                         
                
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  Merriam-Webster unabridged




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