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  2. List of UTC offsets - Wikipedia

    en.wikipedia.org/wiki/List_of_UTC_offsets

    This is a list of the UTC time offsets, showing the difference in hours and minutes from Coordinated Universal Time (UTC), from the westernmost (−12:00) to the easternmost (+14:00). It includes countries and regions that observe them during standard time or year-round. The main purpose of this page is to list the current standard time offsets ...

  3. Order of magnitude - Wikipedia

    en.wikipedia.org/wiki/Order_of_magnitude

    [contradictory] For example, the number 4 000 000 has a logarithm (in base 10) of 6.602; its order of magnitude is 6. When truncating, a number of this order of magnitude is between 10 6 and 10 7. In a similar example, with the phrase "seven-figure income", the order of magnitude is the number of figures minus one, so it is very easily ...

  4. Decimal degrees - Wikipedia

    en.wikipedia.org/wiki/Decimal_degrees

    Decimal degrees (DD) is a notation for expressing latitude and longitude geographic coordinates as decimal fractions of a degree. DD are used in many geographic information systems (GIS), web mapping applications such as OpenStreetMap, and GPS devices. Decimal degrees are an alternative to using sexagesimal degrees (degrees, minutes, and ...

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...

  6. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    To represent the number 1,230,400 in normalized scientific notation, the decimal separator would be moved 6 digits to the left and × 10 6 appended, resulting in 1.2304 × 10 6. The number −0.004 0321 would have its decimal separator shifted 3 digits to the right instead of the left and yield −4.0321 × 103 as a result.

  7. Complex conjugate - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate

    Complex conjugate. Geometric representation (Argand diagram) of and its conjugate in the complex plane. The complex conjugate is found by reflecting across the real axis. In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

  8. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    For example, a 5.0 earthquake releases 32 times (10 1.5) and a 6.0 releases 1000 times (10 3) the energy of a 4.0. [61] Apparent magnitude measures the brightness of stars logarithmically. [62] In chemistry the negative of the decimal logarithm, the decimal cologarithm, is indicated by the letter p. [63]

  9. Projected coordinate system - Wikipedia

    en.wikipedia.org/wiki/Projected_coordinate_system

    Since, in the UK at least, a 6-figure grid reference identifies a square of 100-metre sides, an 8-figure reference would identify a 10-metre square, and a 10-digit reference a 1-metre square. In order to give a standard 6-figure grid reference from a 10-figure GPS readout, the 4th, 5th, 9th and 10th digits must be omitted, so it is important ...