A mathematical analogy of self-referential statements lies at the core of Gödel's Incompleteness Theorem.
Category theory takes the idea of mathematical analogy much further with the concept of functors.
Let me make use of a mathematical analogy.
The following table summarizes the mathematical analogy between electrical circuit theory and magnetic circuit theory.
This is mathematical analogy and not a physical one.
The mathematical analogy with certain three-dimensional models of the atom is so unstable and transitory that some commentators dismiss the resemblance as of secondary importance, if not purely accidental.
By mathematical analogy, a metasyntactic variable is a word that is a variable for other words, just as in algebra letters are used as variables for numbers.
By means of a series of mathematical analogies, Heisenberg wrote out the quantum mechanical analogue for the classical computation of intensities.
With his higher-order brain he attempted to develop a mathematical analogy for his sensation, but it would not come into clear focus.
Images are then reconstructed from the set of measured Fourier components in exact mathematical analogy to multi-baseline radio interferometry.