Evaluate 
that is, find the flux of F across S. 
S is the hemisphere 
n points upward.
Definitions:
Cognitive Competence
The ability to understand, process, and utilize information effectively.
Social Compensation
The effort to perform at a higher level in social situations where one feels inferior or has experienced rejection, in order to compensate for perceived shortcomings.
Self-Esteem
The perception that an individual has of their self-worth, shaped by their thoughts, emotions, and experiences.
Social Facilitation
The tendency for individuals to perform differently, often better, when in the presence of others than when alone, due to the perceived pressure of an audience or competition.
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