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← Logic & PuzzlesIf a lossy data compression algorithm uses a mapping with a contraction factor of 0.5 on pixel color values, which consequence follows for successive iterations?
A)Values oscillate without settling
B)Values converge to a fixed point✓
C)Values diverge uncontrollably
D)Values become undefined rapidly
💡 Explanation
Successive iterations of the contraction mapping will converge to a fixed point because each iteration reduces the distance to the fixed point by a factor of 0.5. Therefore, the values will stabilize; rather than oscillate or diverge, which would occur with different mapping properties.
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