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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. Natural logarithm - Wikipedia

    en.wikipedia.org/wiki/Natural_logarithm

    The natural logarithm of e itself, ln e, is 1, because e 1 = e, while the natural logarithm of 1 is 0, since e 0 = 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 ...

  4. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number.For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3 rd power: 1000 = 10 3 = 10 × 10 × 10.

  5. Complex logarithm - Wikipedia

    en.wikipedia.org/wiki/Complex_logarithm

    Such complex logarithm functions are analogous to the real logarithm function: >, which is the inverse of the real exponential function and hence satisfies e ln x = x for all positive real numbers x. Complex logarithm functions can be constructed by explicit formulas involving real-valued functions, by integration of 1 / z {\displaystyle 1/z ...

  6. Biggest shakeup in a century set to hit real estate agents ...

    www.aol.com/biggest-shakeup-century-set-hit...

    Starting August 17, new rules will roll out that overhaul the way Realtors get paid to help people buy and sell their homes. Biggest shakeup in a century set to hit real estate agents this week ...

  7. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    If () = = and () () for all x in an open interval that contains c, except possibly c itself, =. This is known as the squeeze theorem . [ 1 ] [ 2 ] This applies even in the cases that f ( x ) and g ( x ) take on different values at c , or are discontinuous at c .

  8. New real estate rules in New Jersey give buyers and sellers ...

    www.aol.com/real-estate-rules-jersey-buyers...

    The Real Estate Consumer Protection Enhancement Act, which is meant to create a more transparent and buyer-friendly housing market, officially went into effect in New Jersey Aug. 1, resulting in ...

  9. Home buyers to be spared broker commissions up to 6% ... - AOL

    www.aol.com/news/home-buyers-spared-automatic...

    A landmark agreement would eliminate real estate brokers' automatic commissions of up to 6%, potentially saving home buyers and sellers thousands of dollars.

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