Mutual fund separation theorem (portfolio theory) states that, under certain conditions, any investor's optimal portfolio can be constructed by holding each of certain mutual funds in appropriate ratios, where the number of mutual funds is smaller than the number of individual assets in the portfolio.
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Planar separator theorem (graph theory) states that any planar graph can be split into smaller pieces by removing a small number of vertices.
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Hyperplane separation theorem (geometry) is either of two theorems about disjoint convex sets in n-dimensional Euclidean space.
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Fisher separation theorem (economics) - asserts that the objective of a corporation will be the maximization of its present value, regardless of the preferences of its shareholders.
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Gabbay's separation theorem (mathematical logic and computer science) states that any arbitrary temporal logic formula can be rewritten in a logically equivalent "past → future" form.
Liouville's theorem | Separation of church and state | Chinese remainder theorem | separation of church and state | Shannon–Hartley theorem | Quillen–Suslin theorem | Nyquist–Shannon sampling theorem | Legal separation | Hahn–Banach theorem | Fermat's Last Theorem | Buckingham π theorem | Thue–Siegel–Roth theorem | Szemerédi's theorem | Separation Party of Alberta | Separation of powers | Schottky's theorem | Riemann-Roch theorem | Pythagorean theorem | Nash embedding theorem | Müntz–Szász theorem | Mount Separation | Malgrange–Ehrenpreis theorem | Kleene fixed-point theorem | Kakutani fixed-point theorem | Gauss–Bonnet theorem | Doob's martingale convergence theorem | Dirichlet's theorem on arithmetic progressions | Denjoy theorem | Birch's theorem | 1905 French law on the Separation of the Churches and the State |
It follows from the Hahn–Banach separation theorem that the weak topology is Hausdorff, and that a norm-closed convex subset of a Banach space is also weakly closed.