#Characteristic and Mantissa

[entropinion]

My Benfords Law Theory

The concept proposed relates Benford's Law, a statistical phenomenon governing the distribution of leading digits in numerical data, to human cognition and behavior. It suggests that our subconscious minds assign weights or significance to different thoughts or ideas, akin to how certain digits are more likely to occur as leading digits according to Benford's Law. This subconscious weighting influences our thought processes and actions, leading to patterns of behavior and decision-making that reflect these underlying biases. Unlike generated numbers subject to statistical laws, human thought is complex and influenced by emotions, experiences, beliefs, and cultural factors, making it less predictable and more nuanced. Therefore, while Benford's Law offers insights into numerical patterns, its application to human thought underscores the intricacies and variability inherent in our cognitive processes.

Benford's law could potentially be an inherited idea of ‘design’ humans have that has manifested in physical society through number sequences. The only data set benford's law cannot attribute to is non-human generated such as a zip code, or in fraudulent human error. Error that was purposely designed to disguise as a different number, which is not in proportion to the legitimate estimated one. It's a law that can be applied to personal and universal aspects. The primary usage is studying quantitative data. 

Benford's law could be the brain's realization of a default structure in not only itself but how we as humans enforced this structured default to the point it was noticeable by people who only now heard of it. The first known person to take account of this was Simon Newcomb, a Canadian astronomer that wrote an article in 1881 about the differences of frequencies per digits 1 through 9 stating “The law of probability of the occurrence of numbers is such that all mantissa of their logarithms are equally probable.

Benford's Law, which describes the distribution of leading digits in human-generated numerical data, may not apply or may show deviations when applied to datasets that are not created by human processes. This highlights the context-specific nature of statistical laws and emphasizes the importance of considering the origins and characteristics of the data when applying such principles.

Such theory also applies to Zipf's Law.

[allmathtricks]

In this video we know about the following types of examples in logarithms tutorial

·         Logarithm Examples and Answers

·         Find the value of logarithmic expression  

·         Find the value of  log (2a + 3b)

·         Find the value of log 10 15 + log 10 2

·         log x = log 9.6 - log 2.4, then find the value of x

·         Find the value of  Log 625 √125

·         log (x2 - 6x + 6) = 0 , then find the value of  x

[englishlistwords]

mantissa

n. The decimal part of a logarithm. In the logarithm 2.95424, the mantissa is 0.95424.

n. A supplementary treatise; a lesser work following one on the same subject.

n. The decimal part of a logarithm: so called as being additional to the characteristic or integral part.