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If x is the amount of your income, then r(x)/x is the importance of the income itself, and r’(x)/x is the importance of how you distribute your income among your accounts.
keywords: life, General Systems Theory

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(suggested new terminology)
Definition. A normal expression is one whose leading term has a coefficient of unity
Definition. To normalize the left-hand side of an equation means to re-write it such that it is a normal expression.
keywords: Mathematics, notation

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(suggested new terminology)
Definition. A standoff is the equality of two squares, for example, P^2 = Q^2.
Definition. To resolve a standoff P^2 = Q^2 means to re-write it as P = +/-Q.
keywords: Mathematics, quadratic formula