What does analytic continuation mean?

Definitions for analytic continuation
an·a·lyt·ic con·tin·u·a·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word analytic continuation.

Wiktionary

  1. analytic continuationnoun

    An extension of an analytic function which is itself analytic

  2. analytic continuationnoun

    The practice of extending analytic functions.

Wikidata

  1. Analytic continuation

    In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent. The step-wise continuation technique may, however, come up against difficulties. These may have an essentially topological nature, leading to inconsistencies. They may alternatively have to do with the presence of mathematical singularities. The case of several complex variables is rather different, since singularities then cannot be isolated points, and its investigation was a major reason for the development of sheaf cohomology.

How to pronounce analytic continuation?

How to say analytic continuation in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of analytic continuation in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of analytic continuation in Pythagorean Numerology is: 6

Translation

Find a translation for the analytic continuation definition in other languages:

Select another language:

  • - Select -
  • 简体中文 (Chinese - Simplified)
  • 繁體中文 (Chinese - Traditional)
  • Español (Spanish)
  • Esperanto (Esperanto)
  • 日本語 (Japanese)
  • Português (Portuguese)
  • Deutsch (German)
  • العربية (Arabic)
  • Français (French)
  • Русский (Russian)
  • ಕನ್ನಡ (Kannada)
  • 한국어 (Korean)
  • עברית (Hebrew)
  • Gaeilge (Irish)
  • Українська (Ukrainian)
  • اردو (Urdu)
  • Magyar (Hungarian)
  • मानक हिन्दी (Hindi)
  • Indonesia (Indonesian)
  • Italiano (Italian)
  • தமிழ் (Tamil)
  • Türkçe (Turkish)
  • తెలుగు (Telugu)
  • ภาษาไทย (Thai)
  • Tiếng Việt (Vietnamese)
  • Čeština (Czech)
  • Polski (Polish)
  • Bahasa Indonesia (Indonesian)
  • Românește (Romanian)
  • Nederlands (Dutch)
  • Ελληνικά (Greek)
  • Latinum (Latin)
  • Svenska (Swedish)
  • Dansk (Danish)
  • Suomi (Finnish)
  • فارسی (Persian)
  • ייִדיש (Yiddish)
  • հայերեն (Armenian)
  • Norsk (Norwegian)
  • English (English)

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Citation

Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"analytic continuation." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/analytic+continuation>.

Discuss these analytic continuation definitions with the community:

0 Comments

    Are we missing a good definition for analytic continuation? Don't keep it to yourself...

    Image or illustration of

    analytic continuation

    Credit »

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Browse Definitions.net

    Quiz

    Are you a words master?

    »
    a small restaurant serving beer and wine as well as food; usually cheap
    A evangelist
    B wavering
    C hypernym
    D brasserie

    Nearby & related entries:

    Alternative searches for analytic continuation: