Data manipulation Operations in computer memory using the Master Sampling Algorithm

Posted Date: 18-Feb-2011	Category: Windows Registry	Rating:
Author: chirag sachdeva	Member Level: Diamond	Points: 20

The computer memory stores the data in the well organized manner which provides the easy access of data to the users, this organization of data in the memory is managed by the code embedded in the memory that can be executed when any data read or write request is there in the memory. So, in this article I will explain to you, how manipulations takes place in computer memory using the master sampling theorem algorithm?

Why the efficient programs and algorithms are implemented in computer memory?

The computer system organizes the data in the memory in a well defined order using the memory management unit. The memory management unit makes use of the algorithms which is provided by the operating system itself such that it is stored in the main memory and it is executed when any data accessing and storing operation is required. These algorithms or programs are used for the full utilization of the memory and is made after proper analysis and planning using the master theorem which provides the trade-off between the space and time.

Data manipulation Operations in computer memory using the master sampling Algorithm

Data manipulation Operations in computer memory using the master sampling Algorithm

The complexity of the programs is analyzed such that the programs and algorithms are less time consuming and produces the output at fast rate with less memory space. The master theorem provides the book solution for the asymptotic notations using the recurrence relations which is based on the divide and conquers algorithms and programs. For example- The quick sort and merge sort are based on the divide and conquer programs which provides the efficient algorithms for the memory management which leads to the well organization of the data because complexity obtained after the master sampling is of factor log which shows that it has the good trade-off between the space and time.

How Master Sampling Algorithm solves the complexity of the programs residue in the main memory?

As stated earlier that computer memory can be used efficiently if we use the algorithmic programs with less complexity and this can be achieved using the master algorithm which can resolve the time and space requirement after analysis of the data items used in the embedded code. The working of master sampling algorithms are considered in module form that divides the problem into a number of sub problems which is of size n/b. The size of the problem is visualized as the building of the nodes of trees that can be called using the recursive procedure that corresponds instance with the function f(n).

Data manipulation Operations in computer memory using the master sampling Algorithm

The amount of work done by each node in the tree is the factor of log and the recurrence relation factor is given by the expression T(n)= aT(n/b)+ f(n), through the help of this expression we can calculate the run time of the recursive algorithm with notation function such that n variable is used for the size of the program, a is the module sub problem, n/b is the each sub problem used and f(n) is the amount of cost involved in the working of the programs.

Many cases are there in the master sampling algorithm that provides the algorithmic program complexity of the processes that can be used in the manipulations and various cases are given under the big O notation but we have only redefined the three cases that can provide us the complexity range of various programs that can be implemented in the main memory. Moreover, there are few cases in which the recurrence relation cannot be resolved using the master theorem algorithm. There are many recurrence relations for binary search, binary tree traversal, merge sort, quick sort and insertion sort for knowing the complexity of programs.

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