What is a transposition field?

Transposition field, sometimes called simply transposition, is the data structure of the grid that reorganizes the previous grid by switching rows and columns. If the field contains two rows called A and B and two columns called C and D, transposition would contain rows C and D and columns A and B. Dimensions X and Y, when transposed, the original field will have three rows of two columns. The field transposition is not the same as the rotation; The process that occurs is a bit more complicated.

If you want to create a transposition field, an empty grid field must be created that switches the number of rows and columns as described above. Once this grid is created, the contents of the original grid must be placed in the transpon by switching X and Y locations. If the original field has been called Z, transposition is called from t .

Creating a transposition field is an easy way to reorganize data without losing data or data integrity, which is the main objective of the transposition process. Transposition has many uses in mathematics, especially in multiplication of the matrix. In multiplication of the matrix, the number of columns in the first matrix must be equal to the number of columns in the second. Transpination of one of the matrices could reorganize one of the matrices components sufficiently to make it possible. When transposition is created inside a computer program, it can be implemented so that data should only be moved, not duplicated.

In mathematics, the content of the transposition field is usually a number or something that contains numbers. Transy is greatly used in high -level mathematics, such as the number and linear algebra, and the USAULY is created as the only step to solve a larger problem. In general, the most suitable for handling the numbers are best. Although the Transpon field can be used to reorganize other teo thingsRetic and its content is not explicitly limited to numerical data, reorganization of text strings or specialized objects is much less likely to provide useful information simply based on reorganization.