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  1. Pneumono­ultra­micro­scopic­silico­volcano­coniosis is the longest word in the English language. The word can be analysed as follows: This word was invented in the daily meeting from the National Puzzlers' League (N.P.L.) by its president Everett M. Smith. The word featured in the headline for an article published by the New York Herald ...

  2. The sum of squares of residuals, also called the residual sum of squares: The total sum of squares (proportional to the variance of the data): The most general definition of the coefficient of determination is. In the best case, the modeled values exactly match the observed values, which results in and R2 = 1.

  3. Hydrogen peroxide (H 2 O 2) is a nonplanar molecule with (twisted) C 2 symmetry; this was first shown by Paul-Antoine Giguère in 1950 using infrared spectroscopy.Although the O−O bond is a single bond, the molecule has a relatively high rotational barrier of 386 cm −1 (4.62 kJ/mol) for rotation between enantiomers via the trans configuration, and 2460 cm −1 (29.4 kJ/mol) via the cis ...

  4. Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has. where e is the base of the natural logarithm, i is the imaginary unit, and ...

  5. Raymond Brownell (17 May 1894 – 12 April 1974) was a senior officer in the Royal Australian Air Force (RAAF) and a World War I flying ace. He enlisted in the Australian Imperial Force at the outbreak of World War I and served in the Gallipoli campaign before transferring to the Western Front. Awarded the Military Medal for his actions during ...

  6. en.wikipedia.org › wiki › 00 - Wikipedia

    0 (zero) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division ...

  7. 4K resolution refers to a horizontal display resolution of approximately 4,000 pixels. [1] Digital television and digital cinematography commonly use several different 4K resolutions. In television and consumer media, 3840 × 2160 (4K UHD) with a 16:9 aspect ratio is the dominant 4K standard, whereas the movie projection industry uses 4096 × ...