Page 33 - Data Structures Interactive Book
P. 33

operations such as addition, multiplication, and transposition.


                       3.4.2  Polynomial Representation


                       Polynomials can be represented using arrays, where each index corresponds to the

               power of the variable and the value at that index represents the coefficient.


                       3.4.3  String Manipulation

                       Although C++ provides the string class, traditional C-style strings are implemented as

               character  arrays.  This  allows  direct  manipulation  of  characters  and  is  still  widely  used  in

               system-level programming.


              3.5    Limitations of Arrays


                       Despite their usefulness, arrays have limitations. Their size must be known at compile
               time, and resizing requires creating a new array and copying elements. Additionally, insertion

               and deletion operations are inefficient compared to dynamic structures like linked lists. These

               limitations motivate the use of more advanced data structures.



              3.6    Summary

                       In  this  chapter,  we  explored  arrays  as  a  fundamental  data  structure  in  C++.  We

               discussed their definition, characteristics, and memory representation. We examined basic

               operations such as traversal, insertion, deletion, searching, and sorting. We extended  the
               concept to multidimensional arrays and highlighted applications in matrices, polynomials, and

               strings. Finally, we noted the limitations of arrays, which lead to the development of more

               flexible structures.










                                                             33
   28   29   30   31   32   33   34   35   36   37   38