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The natural logarithm of e itself, ln e, is 1, because e1 = e, while the natural logarithm of 1 is 0, since e0 = 1. The natural logarithm can be defined for any positive real number a as the area under the curve y = 1/x from 1 to a[4] (with the area being negative when 0 < a < 1). The simplicity of this definition, which is matched in many ...
The Urdu Wikipedia (Urdu: اردو ویکیپیڈیا), started in January 2004, is the Standard Urdu-language edition of Wikipedia, a free, open-content encyclopedia. [1] [2] As of 21 September 2024, it has 211,546 articles, 184,727 registered users and 10,881 files, and it is the 54th largest edition of Wikipedia by article count, and ranks 20th in terms of depth among Wikipedias with over ...
Urdu in its less formalised register is known as rekhta (ریختہ, rek̤h̤tah, 'rough mixture', Urdu pronunciation:); the more formal register is sometimes referred to as زبانِ اُردُوئے معلّٰى, zabān-i Urdū-yi muʿallá, 'language of the exalted camp' (Urdu pronunciation: [zəbaːn eː ʊrdu eː moəllaː]) or لشکری ...
Roman Urdu also holds significance among the Christians of Pakistan and North India. Urdu was the dominant native language among Christians of Karachi and Lahore in present-day Pakistan and Madhya Pradesh, Uttar Pradesh Rajasthan in India, during the early part of the 19th and 20th century, and is still used by Christians in these places ...
In mathematics, the logarithm to base b is the inverse function of exponentiation with base b. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 103, the logarithm base of 1000 is 3, or log10 (1000) = 3.
John Napier of Merchiston (/ ˈneɪpiər / NAY-pee-ər; [1] Latinized as Ioannes Neper; 1 February 1550 – 4 April 1617), nicknamed Marvellous Merchiston, was a Scottish landowner known as a mathematician, physicist, and astronomer. He was the 8th Laird of Merchiston. John Napier is best known as the discoverer of logarithms.
ln (r) is the standard natural logarithm of the real number r. Arg (z) is the principal value of the arg function; its value is restricted to (−π, π]. It can be computed using Arg (x + iy) = atan2 (y, x). Log (z) is the principal value of the complex logarithm function and has imaginary part in the range (−π, π].
The history of logarithms is the story of a correspondence (in modern terms, a group isomorphism) between multiplication on the positive real numbers and addition on the real number line that was formalized in seventeenth century Europe and was widely used to simplify calculation until the advent of the digital computer.
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