a mathematical object that generalizes the concept of surface from three-dimensional Euclidean space to hyperspace
Word origin
[1905–10; hyper- + surface]This word is first recorded in the period 1905–10. Other words that entered Englishat around the same time include: cadre, jazz, persona, push-up, stabilizerhyper- is a prefix appearing in loanwords from Greek, where it meant “over,” usually implyingexcess or exaggeration (hyperbole). On this model, hyper- is used, especially as opposed to hypo-, in the formation of compound words (hyperthyroid). Other words that use the affix hyper- include: Hyperborean, hyperbaric, hyperkinesia, hyperopia, hyperurbanism
Examples of 'hypersurface' in a sentence
hypersurface
We also draw some figures of the rotational hypersurface.
Erhan Güler, Hasan Hilmi Hacısalihoğlu, Young Ho Kim 2018, 'The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurfacein 4-Space', Symmetryhttp://www.mdpi.com/2073-8994/10/9/398. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We derive explicit equations for all two-dimensional, semi-log-canonical hypersurface singularities by an elemetary method.
Sönke Rollenske, Wenfei Liu 2012, 'Two-dimensional semi-log-canonical hypersurfaces', Le Matematichehttp://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/922. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This can be described in terms of the junction conditions between space-time regions separated by a singular, null hypersurface.
Bence Racskó, László Árpád Gergely 2018, 'Light-Like Shockwaves in Scalar-Tensor Theories', Universehttp://www.mdpi.com/2218-1997/4/3/44. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We present a closed-form recipe for reducing such a pure state into a mixed state on each half-hypersurface.
Illan Halpern, Yasha Neiman 2015, 'Quantum fields and entanglement on a curved lightfront', Physics Letters Bhttp://www.sciencedirect.com/science/article/pii/S0370269315005353. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We first search for the minimum energy structure on the cusp hypersurface and then treat it as the transition state.
Avisek Das, Mert Gur, Mary Hongying Cheng, Sunhwan Jo, Ivet Bahar, Benoît Roux 2014, 'Exploring the conformational transitions of biomolecular systems using a simple two-stateanisotropic network model.', PLoS Computational Biologyhttp://europepmc.org/articles/PMC3974643?pdf=render. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)