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  2. Cardinal number - Wikipedia

    en.wikipedia.org/wiki/Cardinal_number

    The logarithm of an infinite cardinal number κ is defined as the least cardinal number μ such that κ ≤ 2 μ. Logarithms of infinite cardinals are useful in some fields of mathematics, for example in the study of cardinal invariants of topological spaces, though they lack some of the properties that logarithms of positive real numbers possess.

  3. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    Logarithms can be used to make calculations easier. For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d.

  4. Mirifici Logarithmorum Canonis Descriptio - Wikipedia

    en.wikipedia.org/wiki/Mirifici_Logarithmorum...

    The logarithm in the table, however, is of that sine value divided by 10,000,000. [1]: p. 19 The logarithm is again presented as an integer with an implied denominator of 10,000,000. The table consists of 45 pairs of facing pages. Each pair is labeled at the top with an angle, from 0 to 44 degrees, and at the bottom from 90 to 45 degrees.

  5. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    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 = 10 3, the logarithm base of 1000 is 3, or log 10 (1000) = 3.

  6. Aleph number - Wikipedia

    en.wikipedia.org/wiki/Aleph_number

    Notably, ℵ ω is the first uncountable cardinal number that can be demonstrated within Zermelo–Fraenkel set theory not to be equal to the cardinality of the set of all real numbers 2 ℵ 0: For any natural number n ≥ 1, we can consistently assume that 2 ℵ 0 = ℵ n, and moreover it is possible to assume that 2 ℵ 0 is as least as large ...

  7. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    4.2 Logarithms to arbitrary bases. 5 Trigonometric functions. 6 Sums. 7 Notable special limits. 8 Limiting behavior. ... where x 0 is an arbitrary real number.

  8. New study finds first US obesity decline in 10 years. Is ...

    www.aol.com/study-finds-first-us-obesity...

    Results of the study indicate that Black women in the U.S., ages 66-75, saw the largest decrease in obesity between 2022-2023.

  9. Common logarithm - Wikipedia

    en.wikipedia.org/wiki/Common_logarithm

    A graph of the common logarithm of numbers from 0.1 to 100. In mathematics, the common logarithm (aka "standard logarithm") is the logarithm with base 10. [1] It is also known as the decadic logarithm, the decimal logarithm and the Briggsian logarithm.

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