the condition of being unchanging or unvarying in tone
Examples of 'monotonicity' in a sentence
monotonicity
Fundamental properties, like nonnegativity, monotonicity, the chain rule and subadditivity, are established.
Shigeru Furuichi, Flavia-Corina Mitroi-Symeonidis, Eleutherius Symeonidis 2014, 'On Some Properties of Tsallis Hypoentropies and Hypodivergences', Entropyhttp://www.mdpi.com/1099-4300/16/10/5377. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We then show that monotonicity cannot be replaced by a periodic-point free continuous bijections.
Raushan Buzyakova 2016, 'On monotonic bijections on subgroups of R', Applied General Topologyhttp://polipapers.upv.es/index.php/AGT/article/view/4116. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Under a monotonicity condition on the response function, we prove the existence of positive solutions.
George L. Karakostas, P. Ch Tsamatos 2000, 'Positive solutions for a nonlocal boundary-value problem with increasing response',Electronic Journal of Differential Equationshttp://ejde.math.txstate.edu/Volumes/2000/73/abstr.html. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We show monotonicity between the retailer's ordering policy and his risk aversion degree.
Lijing Zhu, Ki-Sung Hong, Chulung Lee 2013, 'Optimal Ordering Policy of a Risk-Averse Retailer Subject to Inventory Inaccuracy',Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2013/951017. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Such sequences are easy to compute and satisfy complete monotonicity-type properties.
José A Adell, Alberto Lekuona 2017, 'Monotone and fast computation of Euler's constant', Journal of Inequalities and Applicationshttp://link.springer.com/article/10.1186/s13660-017-1507-8. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The continuity, monotonicity, and high-order differentiability of the new function are theoreticallyproven.
Can He, Jianchun Xing, Juelong Li, Qiliang Yang, Ronghao Wang 2015, 'A New Wavelet Thresholding Function Based on Hyperbolic Tangent Function', Mathematical Problems in Engineeringhttp://dx.doi.org/10.1155/2015/528656. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also investigate the monotonicity, uniqueness, and asymptotics of the waves.
Xiaojie Hou 2013, 'Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells',International Journal of Differential Equationshttp://dx.doi.org/10.1155/2013/341473. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Desirable, normative criteria of this method are presented, especially monotonicity and its consequences.
Grzegorz Lissowski 2012, 'POINT SYSTEM AS A METHOD FOR DISTRIBUTING INDIVISIBLE GOODS', Decyzjehttp://www.kozminski.edu.pl/fileadmin/wspolne_elementy/Dokumenty/jednostki/Decyzje/18/Decyzje_18_2012_art._1.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The system aims to construct a hierarchy that satisfies the homogeneity and the monotonicity properties.
Dwi H. Widiyantoro 2006, 'Exploiting Homogeneity of Density in Incremental Hierarchical Clustering', ITB Journal of Engineering Sciencehttp://journal.itb.ac.id/download.php?file=B06060.pdf&id=203&up=18. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)