Random errors subject to normal distribution have the following characteristics: symmetry, equal absolute errors, and equal occurrences of positive and negative errors. Single peak, the error with small absolute value appears more times than the error with large absolute value. Boundedness, under certain measurement conditions, the absolute value of random error will not exceed a certain limit. Compensatory, with the increase of measurement times, the arithmetic average of random error tends to zero.

Math:

Mathematics is a subject that studies concepts such as quantity, structure, change, space and information. Mathematics is a universal means for human beings to strictly describe the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.