This article Algorithm examples supplements Algorithm and Algorithm characterizations.
Read more about Algorithm Examples: An Example: Algorithm Specification of Addition M+n, Precise Specification of Turing-machine Algorithm M+n, The "quality" of An Algorithm: A "better" Version of Turing-machine Addition M+n, Example: Counter-machine Versus Turing-machine Computation, Footnotes
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“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)