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The repeating decimal commonly written as 0.999... represents exactly the same quantity as the number one. Despite having the appearance of representing a smaller number, 0.999... is a symbol for the number 1 in exactly the same way that 0.333... is an equivalent notation for the number represented by the fraction 1 ⁄ 3. [435]
This constituted a major change of paradigm: Instead of defining real numbers as lengths of line segments (see number line), it allowed the representation of points using their coordinates, which are numbers. Algebra (and later, calculus) can thus be used to solve geometrical problems.
These fractions vary highly over the energy range of cosmic rays. [11] A very small fraction are stable particles of antimatter, such as positrons or antiprotons. The precise nature of this remaining fraction is an area of active research. An active search from Earth orbit for anti-alpha particles as of 2019 [12] had found no unequivocal evidence.
Friedrich Wilhelm Nietzsche [ii] (15 October 1844 – 25 August 1900) was a German classical scholar, philosopher, and critic of culture, who became one of the most influential of all modern thinkers. [14]
The human immunodeficiency virus (HIV) [8] [9] [10] is a retrovirus [11] that attacks the immune system.It is a preventable disease. [5] There is no vaccine or cure for HIV. It can be managed with treatment and become a manageable chronic health condition. [5]
In the UK, sales of cassette tapes in 2021 reached its highest number since 2003. [ 90 ] Cassettes are favored by some artists and listeners, including those of older genres of music such as dansband , [ 91 ] as well as independent [ 29 ] and underground artists , [ 92 ] some of whom were releasing new music on tape by the 2020s, including ...
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