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Alxt

Joined 26 July 2004

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Featured Article of the Day

Taylor Swift
Taylor Swift

Taylor Swift is the debut studio album by the American singer-songwriter Taylor Swift (pictured), released on October 24, 2006, by Big Machine Records. Swift wrote or co-wrote all the tracks of the album, based on her experiences as a teenager; its lyrics address love, friendship, and insecurity. Produced by Nathan Chapman, it is a country record with pop and pop rock influences, using acoustic arrangements composed of guitars, banjos, and fiddles. Critics generally praised the earnest teenage feelings portrayed in Taylor Swift, and it spent more weeks on the US Billboard 200 than any other album of the 2000s decade. Among its singles, "Our Song" and "Should've Said No" peaked atop the US Hot Country Songs chart, while "Teardrops on My Guitar" became Swift's first crossover success on the pop charts. Rolling Stone featured it in their 2022 list "100 Best Debut Albums of All Time". (This article is part of a featured topic: Taylor Swift original studio albums.)

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Picture of the Day

Mandelbrot set
{{{alt2}}}
  • Initial image of the Mandelbrot set (1× magnification)
    Initial image of the Mandelbrot set
    (1× magnification)
  • "Head and shoulder" (6× magnification)
    "Head and shoulder"
    (6× magnification)
  • "Seahorse valley" (60× magnification)
    "Seahorse valley"
    (60× magnification)
  • "Seahorse" (191× magnification)
    "Seahorse"
    (191× magnification)
  • "Seahorse tail" (1345× magnification)
    "Seahorse tail"
    (1345× magnification)
  • "Tail part" (4169× magnification)
    "Tail part"
    (4169× magnification)

The Mandelbrot set is a two-dimensional mathematical set that is defined in the complex plane as the numbers for which the function does not diverge to infinity when iterated starting at . It was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups, with Benoit Mandelbrot obtaining the first high-quality visualizations of the set two years later. Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The Mandelbrot set is well-known outside mathematics and is commonly cited as an example of mathematical beauty. These images, generated by a computer program, show an area of the Mandelbrot set known as "seahorse valley", which is centred on the point , at increasing levels of magnification.Image credit: Wolfgang Beyer

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