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  2. Division by two - Wikipedia

    en.wikipedia.org/wiki/Division_by_two

    An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. [2]

  3. Portrait of Anne, Countess of Chesterfield - Wikipedia

    en.wikipedia.org/wiki/Portrait_of_Anne,_Countess...

    Thomas Gainsborough, Philip Stanhope, 5th Earl of Chesterfield, 1777 or 1778. 221 x 157.5 cm. Private collection since 1959 The portrait was held in the collection of the Stanhope family, passing by inheritance from its completion until 1923, when it was acquired by Henry George Alfred Marius Victor Francis Herbert, sixth earl of Carnarvon. [7]

  4. Divided differences - Wikipedia

    en.wikipedia.org/wiki/Divided_differences

    In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. [citation needed] Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. [1] Divided differences is a recursive division process.

  5. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = ⁡ (″) and the above approximation follows when tan X is replaced by X.

  6. Proof of Fermat's Last Theorem for specific exponents

    en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

    This equation forces two of the three numbers x, y, and z to be equivalent modulo 5, which can be seen as follows: Since they are indivisible by 5, x, y and z cannot equal 0 modulo 5, and must equal one of four possibilities: 1, −1, 2, or −2. If they were all different, two would be opposites and their sum modulo 5 would be zero (implying ...

  7. Mathematical fallacy - Wikipedia

    en.wikipedia.org/wiki/Mathematical_fallacy

    In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...

  8. Wavenumber - Wikipedia

    en.wikipedia.org/wiki/Wavenumber

    Wavenumber, as used in spectroscopy and most chemistry fields, is defined as the number of wavelengths per unit distance, typically centimeters (cm1): ~ =, where λ is the wavelength. It is sometimes called the "spectroscopic wavenumber". [1] It equals the spatial frequency.

  9. Schiehallion experiment - Wikipedia

    en.wikipedia.org/wiki/Schiehallion_experiment

    This experiment yielded a value of the mass of the Earth of 8.1 ± 2.4 × 10 24 kg, [25] corresponding to a mean density of 7,500 ± 1,900 kg·m −3. [ d ] [ better source needed ] A modern re-examination of the geophysical data was able to take account of factors the 1774 team could not.