Evaluate the surface integral 
for the given vector field F and the oriented surface S. In other words, find the flux of F across S. 
Definitions:
Pain Perception
The subjective interpretation and experience of pain, which can vary greatly among individuals.
Bottom-Up
An approach or process that begins with the smallest or simplest elements and integrates them into larger and more complex systems or understandings.
Top-Down Processing
Perception based on knowledge, expectations, or past experiences, which affect the interpretation of sensory information.
Hebbian Learning
A theory that proposes the strengthening of connections between neurons that fire together, as a fundamental mechanism of learning.
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