User:Volker.haas/ExtensionImages

Quantity
The study of quantity starts with numbers, first the familiar natural numbers and integers ("whole numbers") and arithmetical operations on them, which are characterized in arithmetic. The deeper properties of integers are studied in number theory, from which come such popular results as Fermat's Last Theorem. The twin prime conjecture and Goldbach's conjecture are two unsolved problems in number theory.

As the number system is further developed, the integers are recognized as a subset of the rational numbers ("fractions"). These, in turn, are contained within the real numbers, which are used to represent continuous quantities. Real numbers are generalized to complex numbers. These are the first steps of a hierarchy of numbers that goes on to include quarternions and octonions. Consideration of the natural numbers also leads to the transfinite numbers, which formalize the concept of "infinity". Another area of study is size, which leads to the cardinal numbers and then to another conception of infinity: the aleph numbers, which allow meaningful comparison of the size of infinitely large sets.


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 * $$1, 2, 3\,...\!$$ || $$...-2, -1, 0, 1, 2\,...\!$$ || $$ -2, \frac{2}{3}, 1.21\,\!$$ || $$-e, \sqrt{2}, 3, \pi\,\!$$ || $$2, i, -2+3i, 2e^{i\frac{4\pi}{3}}\,\!$$
 * Natural numbers|| Integers || Rational numbers || Real numbers || Complex numbers
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Names
At the reintroduction of traditional religious practice, his name changed. It is transliterated as twt-ˤnḫ-ỉmn ḥq3-ỉwnw-šmˤ, and often realized as Tutankhamun Hekaiunushema, meaning "Living image of Amun, ruler of Upper Heliopolis". On his ascension to the throne, Tutankhamun took a praenomen. This is translated as nb-ḫprw-rˤ, and realized as Nebkheperure, meaning "Lord of the forms of Re". The name Nibhurrereya in the Amarna letters may be a variation of this praenomen.

regular images