I. Definition
Vertical division is a calculation method of vertical division. In vertical division, dividend, divisor, quotient and remainder are all calculated in vertical arrangement. This calculation method can clearly show every step of division operation, which is helpful to understand the basic principle of division and master the skills of vertical calculation.
In vertical division, the dividend and divisor are written above the vertical line, and the quotient and remainder are written below the vertical line. In the division operation, the integer part of the quotient is obtained by subtracting the dividend from the divisor, and then the quotient is written in the corresponding position.
Then, multiply the remainder and the divisor to get the decimal part of the quotient, and then write the decimal part below the quotient. If the remainder is greater than or equal to the divisor, subtraction and multiplication operations will continue until the remainder is less than the divisor.
Second, expression
1. Write the dividend in the vertical divisor and the divisor outside the divisor.
2. Write "factory" under the dividend to indicate the business. If there is a horizontal line under the factory, writing "0" on the horizontal line means there is no remainder.
3. On the unit of dividend, write the product of divisor and quotient, that is, the unit of quotient.
4. On the ten digits of the dividend, write the product of the divisor and the quotient, that is, the ten digits of the quotient.
5. Divide the divisor's unit, tenth and hundredth of digits by the divisor's unit, tenth and hundredth of digits to get the quotient's unit, tenth and hundredth of digits.
Application field of vertical segmentation
I. Computer field
Vertical division plays an important role in computers. When a computer carries out division, it will use the method of vertical division to complete the calculation. This algorithm arranges divisor and dividend in the order of digits, and divides them from low to high to get quotient and remainder.
Using vertical division can quickly and accurately calculate quotient and remainder, and effectively handle large numbers and complex calculations. Therefore, vertical division is an indispensable algorithm in computer.
Second, the field of machine learning.
In the field of machine learning, vertical partition is used for optimization algorithm and model training. Applying the idea of vertical partition to machine learning algorithm can accelerate the convergence speed of the model and improve the accuracy and generalization ability of the model.
In addition, vertical division can also be used for feature scaling and normalization, which helps the model to better handle data of different scales. Therefore, vertical division plays an important role in machine learning.