superlineal

From super- +‎ lineal.

superlineal (not comparable)

1. Above a line; superlinear.
   1. (textual analysis, literature, music) Written above a line of text or notes.
      • 1967, Gerald Borchert, An Analysis of the Literary Arrangement and Theological Views in the Coptic Gnostic Gospel of Philip, Princeton Theological Seminary, page 208, Dissertation:

        3. The second ⲡϣⲛⲣⲉ in the manuscript has been marked with superlineal dots probably indicating that this word should be omitted because of dittography.

      • 1989 December, Karl Kroeger, “G. F. Pinto, "Complete Works for Pianoforte Solo", ed. by Nicholas Temperley”, in Notes, volume 46, number 2, →ISSN, page 502:

        Undoubtedly, a major drawback to many potential performers will be the music’s notation. Undeniably, this early engraved music, in which simultaneities are usually misaligned, is often difficult to read, in spite of Temperley’s superlineal amplifications and clarifications.

      • 2019, Matthew Robert Rasure, Priests Like Moses: Earliest Divisions in the Priesthood of Ancient Israel, Harvard University, page 10, Dissertation:

        The text describes a local priest at Dan as Jonathan ben gēr^ešōm ben-m^enaššeh, where mnšh contains the sole occurrence of the superlineal-nun in the MT⁵ and is corrected to read ben-mōšeh.

   2. (mathematics) Increasing faster than another linear function.
      • 1997, Krishnakumar Pillai, V S Sukumaran Nair, “A model for software development effort and cost estimation”, in IEEE Transactions on Software Engineering, volume 23, number 8, →DOI, page 487:

        The Putnam approach takes t² on the abscissa to fit a line to deemphasize the superlineal increase in ṗ/t. However, this does not reverse the increasing trend of the plotted parameter.

      • 2022 May 11, Emer Lopera, Camila López, Raúl E. Vidal, “Existence of positive solutions for a parameter fractional p-Laplacian problem with semipositone nonlinearity”, in ArXiv‎^[1]:

        Here Ω ⊆ R^N a bounded domain with C^1,1 boundary, 2 ≤ p < N , s ∈ (0, 1) and f superlineal and subcritical. We prove that if λ > 0 is chosen sufficiently small the associated Energy Functional to the problem has a mountain pass structure and, therefore, it has a critical point u_λ, which is a weak solution.

• supralinear