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This case study works to inform how future K-12 classrooms and curricula might be structured to support and recognize failure as a positive norm and a valued part of collaborative problem solving and design.
Callicles' genealogy of morals, like Glaucon's in Republic II, presents pleonexia as an eternal and universal first principle of human nature; and he goes further than either Thrasymachus or Glaucon in taking this nature as the basis for a positive norm.
Then to any bounded linear map T from E(M) into a Hilbert space H corresponds a positive norm one functional f∈E(2)(M ∗ such that∀x∈E(M ∥∥T x)∥∥2⩽K2∥T∥2f(x∗x+xx∗), where E(2) denotes the 2-concavification of E and K is a universal constant.
Only positive norm of premarital sex increased the likelihood of risky sexual debut among males.
Education and willingness to have sex were influential for females' exposure to risky sexual debut; however, only having a positive norm of premarital sex affected males' exposure to risky sexual debut.
Having a positive norm of premarital sex was the only risk factor that increased the likelihood of risky sexual debut among males though this factor had no effect on female's risky sexual debut.
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Thus, these findings call for policies that implement societal- and community-level public health measures aimed at changing community norms that justify control behavior and violence, as well as promoting normative environments that discourage residents' hostile behaviours by means of internalization of positive norms.
To its merely negative, cautionary function, positive norms must be added.
Schmitt must be arguing that wherever the situation of normality or homogeneity that makes the results of the application of law determinate and predictable is no longer guaranteed by a sovereign, the positive legal system, consisting of material norms and of positive norms of competence, can no longer be legitimate (Mauss 1980, 81 121; Scheuerman 1999, 15 37; Hofmann 2002).
Successful models for school safety plans emphasize relationship building among students, between students and educators, and with parents and the community at large; consistent reinforcement of positive norms through rewards or lessons; and individualized approaches to student discipline and intervention that seek to address root causes of misbehavior rather than to punish indiscriminately.
Conversely, positive norms to protect the god bring luck, health, and a good harvest.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com