Euler's Constant

AAA

DEFINITION of 'Euler's Constant'

The limit of the sum of 1 + 1/2 + 1/3 + 1/4 ... + 1/n, minus the natural log of n as n approaches infinity. Euler's constant is represented by the lower case gamma (γ), and appears in calculus as a derivative of a logarithmic function. It is the difference between a harmonic series and the natural logarithm (log base e).

INVESTOPEDIA EXPLAINS 'Euler's Constant'

Information on Euler's constant was presented by the Swiss mathematician Leonard Euler in the 18th century in his work "De Progressionibus Harmonicus Observationes". Mathematicians are uncertain as to whether it is a rational, transcendental (like pi) or algebraic number. It is not the same as Euler's number, e, nor is it as well known as pi or e.

RELATED TERMS
  1. Generalized AutoRegressive Conditional ...

    An econometric term developed in 1982 by Robert F. Engle, an ...
  2. Generalized AutoRegressive Conditional ...

    A statistical model used by financial institutions to estimate ...
  3. Kurtosis

    A statistical measure used to describe the distribution of observed ...
  4. Volatility

    1. A statistical measure of the dispersion of returns for a given ...
  5. Log-Normal Distribution

    A statistical distribution of random variables which have a normally ...
  6. Policyholder Surplus

    The assets of a mutual insurance company minus its liabilities. ...
Related Articles
  1. Achieving Optimal Asset Allocation
    Investing Basics

    Achieving Optimal Asset Allocation

  2. Volatility's Impact On Market Returns
    Options & Futures

    Volatility's Impact On Market Returns

  3. Understanding Volatility Measurements ...
    Mutual Funds & ETFs

    Understanding Volatility Measurements ...

  4. Trading With Gaussian Models Of Statistics
    Forex Education

    Trading With Gaussian Models Of Statistics

comments powered by Disqus
Hot Definitions
  1. Due Diligence - DD

    1. An investigation or audit of a potential investment. Due diligence serves to confirm all material facts in regards to ...
  2. Certificate Of Deposit - CD

    A savings certificate entitling the bearer to receive interest. A CD bears a maturity date, a specified fixed interest rate ...
  3. Days Sales Of Inventory - DSI

    A financial measure of a company's performance that gives investors an idea of how long it takes a company to turn its inventory ...
  4. Accounts Payable - AP

    An accounting entry that represents an entity's obligation to pay off a short-term debt to its creditors. The accounts payable ...
  5. Ratio Analysis

    Quantitative analysis of information contained in a company’s financial statements. Ratio analysis is based on line items ...
  6. Days Payable Outstanding - DPO

    A company's average payable period. Calculated as: ending accounts payable / (cost of sales/number of days).
Trading Center