"Otherwise" is often used with the following meanings.
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if not
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in a different way
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apart from that
It is very effective when explaining logical transitions, contrasts between conditions, and exceptional situations.
It is also a useful expression in academic presentations, paper introductions, and interpretation of research findings.

10 example sentences
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If we do not consider this variable, the results may be distorted. We must address this variable, otherwise the results may be misleading.
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This treatment is safe. Otherwise, we would not have recommended it.
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The participants were healthy. Otherwise, they would have been excluded from the study.
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The reaction was expected; otherwise, it would have been surprising.
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This method works for men; it may not for women otherwise.
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We followed the protocol strictly. Otherwise, the results would have been invalid.
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There were no side effects. Otherwise, we would have stopped the experiment.
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The patient cooperated well, unlike others who behaved otherwise.
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This seems intuitive, but the data say otherwise.
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This assumption applies in most cases. In rare cases, there are exceptions.