| viXra.org > Functions and Analysis > 2501 |
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| viXra.org > Functions and Analysis > 2501 |
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[2] viXra:2501.0024 [pdf] submitted on 2025-01-06 21:02:20
Authors: Debao An
Comments: 12 Pages.
Objective: To study the chain mediating effect of perfectionism and stress on cognitive avoidance and rumination. Methods: A total of 5412 college students were surveyed by Cognitive Avoidance Scale, Perfectionism Scale, Stress Scale and Rumination Scale. Results :(1) correlation analysis showed that there were significant positive correlations among cognitive avoidance, perfectionism, stress and rumination (r = 0.324-0.484, P < 0.001); (2) Cognitive avoidance had a significant positive effect on rumination (t = 0.347, P < 0.001), (3)perfectionism partially mediated the relationship between cognitive avoidance and rumination([0.1096,0.1429], P < 0.001), pressure partially mediated the relationship between cognitive avoidance and rumination ([0.0584, 0.0878], P < 0.001) , perfectionism and stress played a significant role in the chain mediation between cognitive avoidance and rumination ([0.0034,0.0070], P < 0.001) . Conclusion: Cognitive avoidance can directly affect rumination and indirectly affect rumination through the chain mediating effect of perfectionism and stress. This study reveals the relationship between cognitive avoidance and rumination and its mechanism.
Category: Functions and Analysis
[1] viXra:2501.0022 [pdf] submitted on 2025-01-06 20:56:33
Authors: Alexander C. Sarich
Comments: 19 Pages.
The study of nonautonomous scalar equations comprises a subset of solutions defining the regions of stability and instability inherent to a system. Under specific shifts in the variables of such equations, those referring to a scalar parameter, the quantity of stability points may vary. The exact value at which the quantity of stability points changes, refers to a bifurcation in the system. When a specific function, or set of functions, cannot be solved exactly through algebraic methods, an equivalence to geometric structures may provide intuitive connections to a more abstract topology that solves for those values exactly. Examples considered include˙ x = x−x2e−1(1 + t2)−1, and the Spruce-Budworm and Forest Model.
Category: Functions and Analysis
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