hyperideal

From hyper- +‎ ideal.

hyperideal (plural hyperideals)

1. (mathematics) An ideal of a semihypergroup.
   • 2015, Roice Nelson, Henry Segerman, “Visualizing Hyperbolic Honeycombs”, in arXiv‎:

     Moreover, there are only four hyperbolic honeycombs with material vertices and material cells (the cells are entirely inside of hyperbolic space), eleven with ideal vertices or cells (the cells touch the boundary of hyperbolic space in some way), and all others have either hyperideal vertices or hyperideal cells (the cells go outside of the boundary of hyperbolic space in some way).

2. A form of salvarsan that was introduced by Paul Ehrlich, but soon found to be prone to severe side effects.
   • 1910, Canada Lancet - Volume 44, page 275:

     “From the many' reports that have appeared on the subject it is evident that the '606, or 'Hyperideal,' or whatever other name it may bear by the time these words are published, does not keep well, the injection is painful, and the fever and other signs of a reaction compel vigilant oversight for a few days.

   • 1911, Annals of Ophthalmology - Volume 20, page 601:

     In one case of iritis a severe bilateral neuritis developed about three weeks after the injection of hyperideal.

   • 1911, Edward Swift Dunster, James Bradbridge Hunter, Frank Pierce Foster, International Record of Medicine and General Practice Clinics:

     The reason why the hyperideal is not sold while salvarsan is, as far as we know, has not been made public.

   • 1912, Studies - Rockefeller University - Volume 14, page 115:

     Thus I. and L. Camus report some apparent variations, and recently Hoke and Rihl state that “ hyperideal ” is twenty times more toxic than salvarsan, and that these differences in toxicity are especially pronounced in the acid solutions.

   • 1913, Edward Swift Dunster, James Bradbridge Hunter, Charles Euchariste de Medicis Sajous, International Record of Medicine and General Practice Clinics, page 819:

     Taking the drug itself, first we had salvarsan, then salvarsan hyperideal, and although one might have thought a drug called hyperideal had reached the acme of its purpose, now we have neosalvarsan.

3. An extreme ideal.
   • 2013, Joshua Takano Chambers-Letson, A Race So Different: Performance and Law in Asian America, →ISBN, page 117:

     In this scene, the ten incarcerated children perform the hyperideal of US liberty from within a concentration camp established by the US government for its own citizens.

hyperideal (comparative more hyperideal, superlative most hyperideal)

1. Extremely idealized.
   • 1881, German life and literature, biographical sketches, page 375:

     We hope also that the cultured Englishman in the same way knows our Schiller otherwise than through Carlyle's hyperideal pen-and-ink sketch without shadow and without colour ; and which omits trace of the most striking ideas of Schiller's great wrestle with Kant, and for which another mentor is needful than the Apocalyptic Carlyle.

   • 1989, Steven M. DeLue, Political Obligation in a Liberal State, →ISBN:

     But a conflictless world is only possible within a hyperideal vision, and this possibility is not the way of life found in ordinary experience.

   • 2013, Louise Fradenburg, Carla Freccero, Premodern Sexualities, →ISBN, page 89:

     Because Henry, more and more threatened by every noncathected tongue, becomes more and more dependent on violence to perform his hyperideal identity.

2. Extremely close to the ideal.
   • 2012, Jean-Paul Gaudillière, V. Hess, Ways of Regulating Drugs in the 19th and 20th Centuries, →ISBN:

     Although the first samples produced in a small test plant had been evaluated as of ideal quality (hyperideal), production at an industrial scale generated manifold problems.

   • 1914, The Urologic and Cutaneous Review: Technical supplement - Volume 2:

     Today, when the whole question of salvarsan therapy is still in dispute, when an absolutely conclusive opinion is not possible, when the treatment of syphilis based on the Wassermann reaction is deceptive, salvarsan should not be held up to patients as an hyperideal remedy.

   • 1921, National Institutes of Health Bulletin - Issues 132-139, page 14:

     An arsphenamine is regarded as "hyperideal" if of the five injected with the 1 in 300 dilution, four survive; of the five injected with the 1 in 275 dilution, three survive; and of the five injected with the 1 in 250 dilution, two survive.