Furthermore, we investigate the homological classification problems of pomonoids by using this new property.
Liang Xingliang, Feng Xinyang, Luo Yanfeng 2016, 'On homological classification of pomonoids by GP-po-flatness of S-posets', Open Mathematicshttp://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0070/math-2016-0070.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The position of the tendrils alone suffices to show their homological nature.
Charles Darwin The Movements and Habits of Climbing Plants (1906). Retrieved in 2019 from Project Gutenberg (https://www.gutenberg.org/ebooks/)
B-cell epitopes were predicted by analyzing secondary structure, transmembrane domains, surface properties, and homological comparison.
Jianxin Tu, Xiaobing Wang, Guannan Geng, Xiangyang Xue, Xiangyang Lin, Xiaochun Zhu,Li Sun 2018, 'The Possible Effect of B-Cell Epitopes of Epstein–Barr Virus Early Antigen, MembraneAntigen, Latent Membrane Protein-1, and -2A on Systemic Lupus Erythematosus', Frontiers in Immunologyhttp://journal.frontiersin.org/article/10.3389/fimmu.2018.00187/full. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We present an algebraic proof of them, using only basic homological algebra tools.
Neeraj Kumar, Ivan Martino 2012, 'An algebraic proof for the identities for the degree of syzygies in numerical semigroup',Le Matematichehttp://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/943. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The homological nature, however, of a tendril seems to make no difference in its action.
Charles Darwin The Movements and Habits of Climbing Plants (1906). Retrieved in 2019 from Project Gutenberg (https://www.gutenberg.org/ebooks/)
They are the homological approach and the approach based on the invariance in respect of a particular group of transformations.
Myasnikov Aleksey Georgievich 2013, 'Operator algebras and approximate diagonals Операторные алгебры и аппроксимативныедиагонали', Vestnik MGSUhttp://vestnikmgsu.ru/files/archive/RUS/issuepage/2013/9/2.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We find that homological holes are ubiquitous, which suggests that they capture some essential feature of research practice in mathematics.
Vsevolod Salnikov, Daniele Cassese, Renaud Lambiotte, Nick S. Jones 2018, 'Co-occurrence simplicial complexes in mathematics: identifying the holes of knowledge',Applied Network Sciencehttp://link.springer.com/article/10.1007/s41109-018-0074-3. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Roridula, perhaps, shows us how we may reconcile these difficulties with respect to the homological nature of the tentacles.
Charles Darwin Insectivorous Plants (1875). Retrieved in 2019 from Project Gutenberg (https://www.gutenberg.org/ebooks/)