Definitions for napierian logarithm
nəˈpɪər i ənnapierian log·a·rithm

Princeton's WordNetRate this definition:0.0 / 0 votes

1. natural logarithm, Napierian logarithmnoun

   a logarithm to the base e

WikipediaRate this definition:0.0 / 0 votes

1. Napierian logarithm

   The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm. Napier did not introduce this natural logarithmic function, although it is named after him. However, if it is taken to mean the "logarithms" as originally produced by Napier, it is a function given by (in terms of the modern natural logarithm): N a p L o g ( x ) = − 10 7 ln ⁡ ( x / 10 7 ) {\displaystyle \mathrm {NapLog} (x)=-10^{7}\ln(x/10^{7})} The Napierian logarithm satisfies identities quite similar to the modern logarithm, such as N a p L o g ( x y ) = N a p L o g ( x ) + N a p L o g ( y ) − 161180956 {\displaystyle \mathrm {NapLog} (xy)=\mathrm {NapLog} (x)+\mathrm {NapLog} (y)-161180956} or N a p L o g ( x y / 10 7 ) = N a p L o g ( x ) + N a p L o g ( y ) {\displaystyle \mathrm {NapLog} (xy/10^{7})=\mathrm {NapLog} (x)+\mathrm {NapLog} (y)} In Napier's 1614 Mirifici Logarithmorum Canonis Descriptio, he provides tables of logarithms of sines for 0 to 90°, where the values given (columns 3 and 5) are N a p L o g ( θ ) = − 10 7 ln ⁡ ( sin ⁡ ( θ ) ) {\displaystyle \mathrm {NapLog} (\theta )=-10^{7}\ln(\sin(\theta ))}

ChatGPTRate this definition:0.0 / 0 votes

1. napierian logarithm

   The Napierian logarithm, also known as natural logarithm, is a logarithm with base e, where e is an irrational and transcendental number approximately equal to 2.718281828459. It is usually denoted as ln(x) or loge(x). This logarithm is widely used in mathematics, physics, engineering, and many other fields due to its mathematical properties and its connections to the exponential function and calculus.

WikidataRate this definition:0.0 / 0 votes

1. Napierian logarithm

   The term Napierian logarithm, or Naperian logarithm, is often used to mean the natural logarithm. However, as first defined by John Napier, it is a function given by:8 It is not a logarithm to any particular base in the modern sense of the term; however, it can be rewritten as: and hence it is a linear function of a particular logarithm, and so satisfies identities quite similar to the modern logarithm, such as The Napierian logarithm is related to the natural logarithm by the relation and to the common logarithm by Note that and

Matched Categories

1. • Logarithm

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Numerology

1. Chaldean Numerology

   The numerical value of napierian logarithm in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of napierian logarithm in Pythagorean Numerology is: 1

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=napierian logarithm
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Napierian_Logarithm
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=napierian logarithm