On the Algebra of Logic.¶
Peirce, C. S. (1880). On the Algebra of Logic. American Journal of Mathematics, 3(1), 15-57.
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Primes¶
- Idempotence
- … Schröder (1890–1905) systematized); idempotent matrices `P² = P` are projection operators onto subspaces, central to linear algebra and statistics (the hat matrix `H = X(XᵀX)⁻¹Xᵀ` projecting observed `y` onto fitted `ŷ` is idempotent, as Hoaglin and Welsch (1978) develop in their treatment of regression diagnostics).
This source(Explicit formulation of idempotent law: `a · a = a` and `a + a = a` in Boolean algebra; systematic treatment of idempotence as algebraic principle.)
- … Schröder (1890–1905) systematized); idempotent matrices `P² = P` are projection operators onto subspaces, central to linear algebra and statistics (the hat matrix `H = X(XᵀX)⁻¹Xᵀ` projecting observed `y` onto fitted `ŷ` is idempotent, as Hoaglin and Welsch (1978) develop in their treatment of regression diagnostics).
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