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This lecture introduces dynamic arrays in C++, which are collections of homogeneous data whose size can change during the program. The instructor explains the definition and declaration of dynamic arrays using the 'vector' type in C++. Different ways of initializing dynamic arrays in C++11 are covered, including empty initialization, initialization with initial values, initialization with a given initial size and all elements set to a specific value, and initialization by copying another array. The lecture also emphasizes the importance of understanding the differences between dynamic arrays and fixed-size arrays in C++. Examples are provided to illustrate each initialization method.