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  2. Construction of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Construction_of_the_real...

    An axiomatic definition of the real numbers consists of defining them as the elements of a complete ordered field. [2] [3] [4] This means the following: The real numbers form a set, commonly denoted , containing two distinguished elements denoted 0 and 1, and on which are defined two binary operations and one binary relation; the operations are called addition and multiplication of real ...

  3. Completeness of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Completeness_of_the_real...

    Completeness is a property of the real numbers that, intuitively, implies that there are no "gaps" (in Dedekind's terminology) or "missing points" in the real number line. This contrasts with the rational numbers, whose corresponding number line has a "gap" at each irrational value. In the decimal number system, completeness is equivalent to ...

  4. vCard - Wikipedia

    en.wikipedia.org/wiki/VCard

    Standard. RFC 6350. vCard, also known as VCF (Virtual Contact File), is a file format standard for electronic business cards. vCards can be attached to e-mail messages, sent via Multimedia Messaging Service (MMS), on the World Wide Web, instant messaging, NFC or through QR code. They can contain name and address information, phone numbers, e ...

  5. California DMV puts 42 million car titles on blockchain to ...

    www.aol.com/news/california-dmv-puts-42-million...

    July 30, 2024 at 6:59 PM. By Akash Sriram. (Reuters) - California's Department of Motor Vehicles (DMV) has digitized 42 million car titles using blockchain technology in a bid to detect fraud and ...

  6. Real number - Wikipedia

    en.wikipedia.org/wiki/Real_number

    The long real line pastes together ℵ 1 * + ℵ 1 copies of the real line plus a single point (here ℵ 1 * denotes the reversed ordering of ℵ 1) to create an ordered set that is "locally" identical to the real numbers, but somehow longer; for instance, there is an order-preserving embedding of ℵ 1 in the long real line but not in the real ...

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  8. Extended real number line - Wikipedia

    en.wikipedia.org/wiki/Extended_real_number_line

    Extended real number line. In mathematics, the extended real number system [a] is obtained from the real number system by adding two infinity elements: and [b] where the infinities are treated as actual numbers. It is useful in describing the algebra on infinities and the various limiting behaviors in calculus and mathematical analysis ...

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