Application of Mathematics

 According to some people, math's is just the use of complicated formulas and calculations which won’t be ever applied in real life. But math's is the universal language which is applied in almost every aspect of life. Yes! You read it right; basic mathematical concepts are followed all the time. Let us discuss some interesting Application of Mathematics.

Benford's law, also known as the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, is an observation that in many real-life sets of numerical data, the leading digit is likely to be small. In sets that obey the law, the number 1 appears as the leading significant digit about 30 % of the time, while 9 appears as the leading significant digit less than 5 % of the time. If the digits were distributed uniformly, they would each occur about 11.1 % of the time. Isn’t its Sound interesting [ Benford's law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on.]

It has been shown that this result applies to a wide variety of data sets, including electricity bills, street addresses, stock prices, house prices, population numbers, death rates, lengths of rivers, and physical and mathematical constants. Like other general principles about natural data—for example the fact that many data sets are well approximated by a normal distribution—there are illustrative examples and explanations that cover many of the cases where Benford's law applies, though there are many other cases where Benford's law applies that resist a simple explanation. It tends to be most accurate when values are distributed across multiple orders of magnitude, especially if the process generating the numbers is described by a power law (which is common in nature).

 

The law is named after physicist Frank Benford, who stated it in 1938 in a paper titled "The Law of Anomalous Numbers" although it had been previously stated by Simon Newcomb in 1881.



 Neha Modak

Lecturer, Mathematics Department,

Medi-caps University




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