paramodular

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adjective

Pertaining to a pair (a, b) of set functions where a is supermodular, b is submodular, and they always satisfy the cross-inequality b(X) - a(Y) > b(X-Y) -a(Y-X) for all X, Y.

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Meanings

adjectiveparamodular (not comparable)
  1. not comparablemathematicsPertaining to a pair (a, b) of set functions where a is supermodular, b is submodular, and they always satisfy the cross-inequality b(X) - a(Y) > b(X-Y) -a(Y-X) for all X, Y.

    We give criteria under which the isogeny class of A is determined by F and thereby obtain new evidence towards our paramodular conjecture.

    2015, Armand Brumer, Kenneth Kramer, “Certain Abelian varieties bad at only one prime”, in arXiv

Origin

From para- + modular.

Full word history & related roots →
Cite this entry
APA

paramodular. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/paramodular

MLA

“paramodular.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/paramodular. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “paramodular,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/paramodular.

Source: paramodular on Wiktionary, CC BY-SA 4.0.