Interactionist Theories of Emotion

Classical and contemporary developments in the study of culture are examined for ways to conceptualize emotion(s) and to frame their study. The foundation of this approach is found in early social pragmatism and interactionism, both of which view the structuring of mind, self, and emotion as sociocultural processes. The same principles are found in contemporary arguments about emotions and subjectivity made by ‟constructionist” works in psychology and social science as well as in culture theory today. These approaches have given greater emphasis to the study of everyday beliefs of social actors, arguing that the entire domain of subjectivity is not (as commonly understood) devoid of social and cultural influence. Rather, subjectivity itself is “socially constructed.” In this way and in others, pragmatist social psychology and contemporary culture theory have both enlarged and changed the idea of subjectivity from something isolated and unique and purely individual to something shared and observable. Subjectivity’s continual formation and development take place in society in interaction with others. Accordingly, emotions and the ways they are experienced exist within socially and historically variable cultures, implying that people’s ideas about what emotions are and what they mean vary across cultures as well as within cultures.

A Remark on the Change of Variable Theorem for the Riemann Integral

In 1961, Kestelman first proved the change in the variable theorem for the Riemann integral in its modern form. In 1970, Preiss and Uher supplemented his result with the inverse statement. Later, in a number of papers (Sarkhel, Výborný, Puoso, Tandra, and Torchinsky), the alternative proofs of these theorems were given within the same formulations. In this note, we show that one of the restrictions (namely, the boundedness of the function f on its entire domain) can be omitted while the change of variable formula still holds.

Compactness theorems for problems with unknown boundary

The compactness theorem is proved for sequences of functions that have estimates of the higher derivatives in each subdomain of the domain of definition, divided into parts by a sequence of some curves of class W_2^1. At the same time, in the entire domain of determining summable higher derivatives, these sequences do not have. These results allow us to make limit transitions using approximate solutions in problems with an unknown boundary that describe the processes of phase transitions.

Iterative experimental design based on active machine learning reduces the experimental burden associated with reaction screening

Through iterative selection of maximally informative experiments, active learning renders exhaustive screening obsolete. Chosen experiments are used to train models that are accurate over the entire domain, thus reducing the experiment burden.