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Definition of congruence in analytic geometry. In a Euclidean system, congruence is fundamental; it is the counterpart of equality for numbers.
Incongruent transition, in chemistry, is a mass transition between two phases which involves a change in chemical composition; Psychology
An important consideration to the difference between mood congruence and mood dependent (or state-dependent) memory is the determination that one cannot make accurate assumptions about the emotional state of a memory during the encoding process.
The meanings of the three elements are congruent in certain semantic fields and incongruent in other semantic fields: A semantic congruity ("One") and a threefold incongruity ("One and Three"). Ironically, One and Three Chairs can be looked upon as simple but rather complex model, of the science of signs.
Comparing digits in incongruent trials (e.g., 3 5) is slower than comparing digits in congruent trials (e.g., 5 3) and the difference in reaction time is termed the numerical Stroop effect. The effect of irrelevant numerical values on physical comparisons (similar to the effect of irrelevant color words on responding to colors) suggests that ...
Relief theory suggests humor is a mechanism for pent-up emotions or tension through emotional relief. In this theory, laughter serves as a homeostatic mechanism by which psychological stress is reduced [1] [3] [7] Humor may thus facilitate ease of the tension caused by one's fears, for example.
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There is a famous unsolved conjecture from Erdős and Selfridge: an incongruent covering system (with the minimum modulus greater than 1) whose moduli are odd, does not exist. It is known that if such a system exists with square-free moduli, the overall modulus must have at least 22 prime factors.