Divergence (Noun)
Meaning 1
The act of moving away in different direction from a common point; "an angle is formed by the divergence of two straight lines".
Classification
Nouns denoting acts or actions.
Examples
- The roads converged at the town center, but then showed a divergence as they branched out in different directions.
- The divergence of the two rivers created a fertile delta that supported a wide variety of wildlife.
- The company's stock price showed a divergence from the overall market trend, increasing in value while others declined.
- The divergence of the two cultures was evident in their vastly different customs and traditions.
- The scientists studied the divergence of the species, tracing the evolutionary paths that had led to their distinct characteristics.
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Meaning 2
A variation that deviates from the standard or norm; "the deviation from the mean".
Classification
Nouns denoting natural events.
Examples
- The divergence in design patterns between the two architects led to some heated debates.
- Researchers have discovered a significant divergence in the development of symptoms between the two groups of patients.
- The manager expressed concerns about the divergence in performance between the new and old teams.
- The company's divergence from industry standards raised some eyebrows among investors and customers.
- Statisticians use statistical tests to identify and explain the divergence between the observed and expected values.
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Meaning 3
A difference between conflicting facts or claims or opinions; "a growing divergence of opinion".
Classification
Nouns denoting attributes of people and objects.
Examples
- The economist's theory was met with skepticism due to the divergence between her predictions and the actual market trends.
- The growing divergence of opinion between the two politicians made it clear that a compromise was unlikely.
- The researcher's findings highlighted a significant divergence between the results of the two studies, sparking a heated debate in the scientific community.
- The divergence between the company's financial reports and the auditor's findings raised concerns about accounting irregularities.
- The increasing divergence between the government's rhetoric and its actions on environmental issues has led to widespread criticism and protests.
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Meaning 4
An infinite series that has no limit.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The geometric series 1 + 2 + 4 + 8 + ... exhibits divergence, as the terms grow exponentially without bound.
- Divergence can be shown by the harmonic series 1 + 1/2 + 1/3 + 1/4 + ..., which grows infinitely large as more terms are added.
- Mathematicians use various tests to determine whether an infinite series converges or exhibits divergence.
- In some cases, the terms of an infinite series may decrease, but the sum still exhibits divergence if the terms do not decrease rapidly enough.
- When the terms of an infinite series grow larger in magnitude without limit, the series exhibits divergence.