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  2. Van Arkel–Ketelaar triangle - Wikipedia

    en.wikipedia.org/wiki/Van_Arkel–Ketelaar_triangle

    Rather, bond types are interconnected and different compounds have varying degrees of different bonding character (for example, covalent bonds with significant ionic character are called polar covalent bonds). Six years later, in 1947, Ketelaar developed van Arkel's idea by adding more compounds and placing bonds on different sides of the triangle.

  3. Angularis nigra - Wikipedia

    en.wikipedia.org/wiki/Angularis_Nigra

    Previously, lack of proper terminology to report this condition was an issue, often colloquially termed the "black triangle"; angularis nigra has been proposed as a term to describe the appearance. There are several risk factors leading to the development of black triangles. Papillae dimension can be changed due to any of the following reasons: 1.

  4. Triangulated category - Wikipedia

    en.wikipedia.org/wiki/Triangulated_category

    A triangulated category is an additive category D with a translation functor and a class of triangles, called exact triangles [2] (or distinguished triangles), satisfying the following properties (TR 1), (TR 2), (TR 3) and (TR 4). (These axioms are not entirely independent, since (TR 3) can be derived from the others.

  5. Triangle group - Wikipedia

    en.wikipedia.org/wiki/Triangle_group

    Let l, m, n be integers greater than or equal to 2. A triangle group Δ(l,m,n) is a group of motions of the Euclidean plane, the two-dimensional sphere, the real projective plane, or the hyperbolic plane generated by the reflections in the sides of a triangle with angles π/l, π/m and π/n (measured in radians).

  6. Connection (composite bundle) - Wikipedia

    en.wikipedia.org/wiki/Connection_(composite_bundle)

    There is a composite bundle / where / is a principal bundle with a structure group and / is a fiber bundle associated with . Given a global section h {\displaystyle h} of P / H → X {\displaystyle P/H\to X} , the pullback bundle h ∗ P {\displaystyle h^{*}P} is a reduced principal subbundle of P {\displaystyle P} with a structure group H ...

  7. Degeneracy (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Degeneracy_(mathematics)

    The three types of degenerate triangles, all of which contain zero area. A degenerate triangle is a "flat" triangle in the sense that it is contained in a line segment. It has thus collinear vertices [3] and zero area. If the three vertices are pairwise distinct, it has two 0° angles and one 180° angle.

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