The dictionary definition of an error is a human mistake (thought, action or decision), especially in the case that a mistake can be proven i.e. a spelling mistake or calculated value with a formula which can be repeated. An error is different to a bug. 

An error may be due to an implementation mistake, miscommunication or misunderstanding, whereas a bug is a flaw in the software its design that results from an error so incorrect logic in the system under test is the result of an error in the understanding of a business requirement.
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