normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry. The normal cone CXY...

subset U of X. If C is a cone in a TVS X (over the real or complex numbers), then the following are equivalent: C is a normal cone. For every filter F {\displaystyle...

In linear algebra, a cone—sometimes called a linear cone to distinguish it from other sorts of cones—is a subset of a real vector space that is closed...

(S-C)} is the C {\displaystyle C} -saturatation of S . {\displaystyle S.} Normal cones play an important role in the theory of ordered topological vector spaces...

union of its cones is the whole space, (Rn)*. If F is a face of P of dimension d, then its normal cone CF has dimension n – d. The normal cones to vertices...

topology on X {\displaystyle X} if and only if the positive cone of X {\displaystyle X} is a normal cone in ( X , τ ) . {\displaystyle (X,\tau ).} If X {\displaystyle...

definitions for a tangent cone, including the adjacent cone, Bouligand's contingent cone, and the Clarke tangent cone. These three cones coincide for a convex...

{\displaystyle P} , the normal cone of P {\displaystyle P} at vertex v {\displaystyle v} is the cone generated by the outer normals of the facets containing...

characteristic form Q(ζ) = 0 defines a cone (the normal cone) with homogeneous coordinates ζ. In the hyperbolic case, this cone has nm sheets, and the axis ζ =...

teeth and the normal section of helical teeth. Face (tip) angle in a bevel or hypoid gear, is the angle between an element of the face cone and its axis...

extension), used heavily in cryptography Normal bundle Normal cone, of a subscheme in algebraic geometry Normal coordinates, in differential geometry, local...

two-sphere S2 results in the real projective plane. Deformation to the normal cone is a blow-up technique used to prove many results in algebraic geometry...

order topology induced by a total order may be shown to be hereditarily normal. A totally ordered set is said to be complete if every nonempty subset that...

cones (resp. convex cones) is again a cone (resp. convex cone); the same is true of the union of an increasing (under set inclusion) family of cones (resp...

rewritten as the inclusion into a normal cone, so that the bouncing ball dynamics is a differential inclusion into a normal cone to a convex set. See Chapters...

where for two events X and Y, X ≤ Y if and only if Y is in the future light cone of X. An event Y can be causally affected by X only if X ≤ Y. One familiar...

of symplectic manifolds, analogous for example to deformation to the normal cone in algebraic geometry. The symplectic sum has been used to construct...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...

Inlet cones (sometimes called shock cones or inlet centerbodies) are a component of some supersonic aircraft and missiles. They are primarily used on...

viewing cone refers to the effective viewing directions of an LCD display, as seen from the eye. This collection of angles resembles a cone. The concept...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...

I, then Spec X ⁡ R {\displaystyle \operatorname {Spec} _{X}R} is the normal cone to the closed scheme determined by I. If R = ⨁ 0 ∞ L ⊗ n {\displaystyle...

algebra Algebraic normal form Boolean conjunctive query Canonical form (Boolean algebra) Conjunctive normal form Disjunctive normal form Formal system...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...

light cone would actually be a four-dimensional version of a cone whose cross-sections form 3D spheres (analogous to a normal three-dimensional cone whose...

Cone cells or cones are photoreceptor cells in the retina of the vertebrate eye. Cones are active in daylight conditions and enable photopic vision, as...

topology & Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet...