Abstract
Consider a mapping F : R n → R 3 ( n ⩾ 3 ) F:{{\mathbf {R}}^n} \to {{\mathbf {R}}^3}(n \geqslant 3) defined by an ordered triple of real-valued quadratic forms; if some linear combination of these three quadratic forms is positive definite, then the image set under the map is a convex cone.
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