--- _id: '3781' abstract: - lang: eng text: We bound the difference in length of two curves in terms of their total curvatures and the Fréchet distance. The bound is independent of the dimension of the ambient Euclidean space, it improves upon a bound by Cohen-Steiner and Edelsbrunner, and it generalizes a result by Fáry and Chakerian. acknowledgement: Funded by Graduate Aid in Areas of National Need (GAANN) Fellowship. author: - first_name: Brittany Terese full_name: Fasy, Brittany Terese id: F65D502E-E68D-11E9-9252-C644099818F6 last_name: Fasy citation: ama: Fasy BT. The difference in length of curves in R^n. Acta Sci Math (Szeged). 2011;77(1-2):359-367. apa: Fasy, B. T. (2011). The difference in length of curves in R^n. Acta Sci. Math. (Szeged). Szegedi Tudományegyetem. chicago: Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Sci. Math. (Szeged). Szegedi Tudományegyetem, 2011. ieee: B. T. Fasy, “The difference in length of curves in R^n,” Acta Sci. Math. (Szeged), vol. 77, no. 1–2. Szegedi Tudományegyetem, pp. 359–367, 2011. ista: Fasy BT. 2011. The difference in length of curves in R^n. Acta Sci. Math. (Szeged). 77(1–2), 359–367. mla: Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Sci. Math. (Szeged), vol. 77, no. 1–2, Szegedi Tudományegyetem, 2011, pp. 359–67. short: B.T. Fasy, Acta Sci. Math. (Szeged) 77 (2011) 359–367. date_created: 2018-12-11T12:05:08Z date_published: 2011-01-01T00:00:00Z date_updated: 2021-01-12T07:52:09Z day: '01' department: - _id: HeEd intvolume: ' 77' issue: 1-2 language: - iso: eng month: '01' oa_version: None page: 359 - 367 publication: Acta Sci. Math. (Szeged) publication_status: published publisher: Szegedi Tudományegyetem publist_id: '2446' quality_controlled: '1' status: public title: The difference in length of curves in R^n type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 77 year: '2011' ...