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2. Binary logarithm - Wikipedia

   en.wikipedia.org/wiki/Binary_logarithm

   This definition gives rise to a function that coincides with the binary logarithm on the powers of two, [3] but it is different for other integers, giving the 2-adic order rather than the logarithm. [4] The modern form of a binary logarithm, applying to any number (not just powers of two) was considered explicitly by Leonhard Euler in 1739 ...

3. List of logarithmic identities - Wikipedia

   en.wikipedia.org/wiki/List_of_logarithmic_identities

   These are the three main logarithm laws/rules/principles, [3] from which the other properties listed above can be proven. Each of these logarithm properties correspond to their respective exponent law, and their derivations/proofs will hinge on those facts. There are multiple ways to derive/prove each logarithm law – this is just one possible ...

4. Logarithm - Wikipedia

   en.wikipedia.org/wiki/Logarithm

   For example, log 10 (5986) is approximately 3.78 . The next integer above it is 4, which is the number of digits of 5986. Both the natural logarithm and the binary logarithm are used in information theory, corresponding to the use of nats or bits as the fundamental units of information, respectively. [8]

5. List of mathematical abbreviations - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical...

   ld – binary logarithm (log 2). (Also written as lb.) lsc – lower semi-continuity. lerp – linear interpolation. [5] lg – common logarithm (log 10) or binary logarithm (log 2). LHS – left-hand side of an equation. Li – offset logarithmic integral function. li – logarithmic integral function or linearly independent.

6. Logarithmic number system - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_number_system

   A similar LNS named "signed logarithmic number system" (SLNS) was described in 1975 by Earl Swartzlander and Aristides Alexopoulos; rather than use two's complement notation for the logarithms, they offset them (scale the numbers being represented) to avoid negative logs. [3]

7. Arithmetic - Wikipedia

   en.wikipedia.org/wiki/Arithmetic

   Arithmetic is the fundamental branch of mathematics that studies numbers and their operations. In particular, it deals with numerical calculations using the arithmetic operations of addition, subtraction, multiplication, and division. [1]

8. Lambert W function - Wikipedia

   en.wikipedia.org/wiki/Lambert_W_function

   The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i The graph of y = W(x) for real x < 6 and y > −4. The upper branch (blue) with y ≥ −1 is the graph of the function W 0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W −1. The minimum value of x is ...

9. Natural logarithm - Wikipedia

   en.wikipedia.org/wiki/Natural_logarithm

   The natural logarithm function, if considered as a real-valued function of a positive real variable, is the inverse function of the exponential function, leading to the identities: ⁡ = + ⁡ = Like all logarithms, the natural logarithm maps multiplication of positive numbers into addition: [ 5 ] ln ⁡ ( x ⋅ y ) = ln ⁡ x + ln ⁡ y ...