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Difference Between Algorithm and Pseudocode

In mathematics and computer science, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Algorithms are used for calculation, data processing, and automated reasoning. Algorithms can be described in various ways, from pure mathematical formulas to complex graphs, more times than not, without pseudocode. Pseudocode describes how you would implement an algorithm without getting into syntactical details. So no, they're not really synonymous.