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  1. holomorphic love

Definitions

Century Dictionary and Cyclopedia

  1. Exhibiting holohedral symmetry.
  2. In mathematics, having the form of entire function.
  3. Noting a function of a complex variable which is continuous, one-valued, and has a derived function when the variable moves in a certain region of the plane: so called to indicate that it is like an integer function for which this property holds throughout the entire plane.

Wiktionary

  1. adj. complex analysis Complex-differentiable on an open set around every point in its domain.

Examples

  • “Section 33.10 explains how positive/negative frequency splitting along with "holomorphic first sheaf cohomology" plays "a direct role in generating deformations of twistor space.”

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  • “We start by looking at the class of holomorphic functions — essentially polynomials of infinite degree.”

    Wolfram Blog : Mathematica 7, Johannes Kepler, and Transcendental Roots

  • “A holomorphic function will often have infinitely many roots.”

    Wolfram Blog : Mathematica 7, Johannes Kepler, and Transcendental Roots

  • “The action of a real semisimple lie group on a complex flag manifold, II: Unitary representations on partially holomorphic cohomology spaces by Joseph Albert Wolf”

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  • “Genealogical concordance and recombination analyses confirm the existence of two genetically isolated agamospecies including T. harzianum sensu stricto and two hypothetical holomorphic species related to but different from H. lixii.”

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  • “Questions: are both sides of the OSV well-defined, is it true everywhere, what do the holomorphic anomalies do, is it consistent with elmg. dualities, consistent nonperturbatively?”

    The Reference Frame

  • “So the normal BCOV holomorphic anomaly - one for closed strings - must be extended to the open string.”

    The Reference Frame

  • “He must extend the holomorphic anomaly equation first.”

    The Reference Frame

  • “The sum obeys the extended holomorphic anomaly equation.”

    The Reference Frame

  • “BCOV 1993 shows that B-model amplitudes depend on CS moduli nonholomorphically: that's the holomorphic anomaly, arising from the boundary of the Riemann surface moduli space.”

    The Reference Frame

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