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  2. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    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].

  3. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In mathematics, the logarithm to baseb 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.

  4. Natural logarithm - Wikipedia

    en.wikipedia.org/wiki/Natural_logarithm

    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 ...

  5. Detroit Lions, haunted by first-half mistakes, falls short ...

    www.aol.com/sports/detroit-lions-haunted-first...

    The Detroit Lions fell 20-16 to the Tampa Bay Buccaneers on Sunday while squandering several notable chances to change the outcome. The Lions went 1-for-7 in the red zone, with a series of crucial ...

  6. Google Translate - Wikipedia

    en.wikipedia.org/wiki/Google_Translate

    Google Translate is a multilingual neural machine translation service developed by Google to translate text, documents and websites from one language into another. It offers a website interface, a mobile app for Android and iOS, as well as an API that helps developers build browser extensions and software applications. [3]

  7. EU, China should build bridges, avoid trade war, says Spanish ...

    www.aol.com/news/eu-china-build-bridges-avoid...

    By Casey Hall. KUNSHAN, China (Reuters) -Spanish Prime Minister Pedro Sanchez said on Wednesday there does not need to be a trade war between the European Union and China, and the two sides should ...

  8. Spanish orthography - Wikipedia

    en.wikipedia.org/wiki/Spanish_orthography

    Ortografía de la lengua española (2010). Spanish orthography is the orthography used in the Spanish language.The alphabet uses the Latin script.The spelling is fairly phonemic, especially in comparison to more opaque orthographies like English, having a relatively consistent mapping of graphemes to phonemes; in other words, the pronunciation of a given Spanish-language word can largely be ...

  9. History of the Spanish language - Wikipedia

    en.wikipedia.org/wiki/History_of_the_Spanish...

    The language known today as Spanish is derived from spoken Latin, which was brought to the Iberian Peninsula by the Romans after their occupation of the peninsula that started in the late 3rd century BC. Today it is the world's 4th most widely spoken language, after English, Mandarin Chinese and Hindi. [1]