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Our calculations were for idealized conditions ; now we are going to incorporate year-to-year variability in sunspot activity into the model , " Siskind says . Along with the loss of idealized images about the group and its leaders , the disillusioned believer also loses what was represented as the only hope of salvation . Faculty and staff members frequently serve as idealized versions of adults for the undergraduate , an idealization that helps the undergraduate differentiate him / herself from the family . Many recent studies have been conducted in an attempt to quantify aspects of bond performance and behavior in this situation ; however , due to the complexity of the problem , most research has been conducted only on idealized specimens . We identify the underlying assumptions associated with each time scale , describe procedures for computing these time scales in idealized cases , and identify pitfalls when real-world systems deviate from these idealizations .