English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We analyze two recently-introduced flow measured that are based on a singletrajectory only: trajectory stretching exponent (TSE) to detect hyperbolic(stretching) behavior, and trajectory angular velocity (TRA) to detect elliptic(rotation) behavior. Haller et al.[$\href{https://doi.org/10.1063/5.0044151}{2021}$] and Haller et al.[$\href{https://doi.org/10.1063/5.0090124}{2022}$] introduced TSE, TRA as wellas the concept of quasi-objectivity, and formulated theorems about theobjectivity and quasi-objectivity of TSE and TRA. In this paper, we present twocounter-examples showing that all theorems in Haller et al.[$\href{https://doi.org/10.1063/5.0044151}{2021}$] and Haller et al.[$\href{https://doi.org/10.1063/5.0090124}{2022}$] are incorrect

On the Objectivity and Quasi-Objectivity of TSE and TRA