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Soft statistics are those statistics which are generally cognitive in nature, and are often used to represent nonphysical characteristics of a character. Alternatively, instead of being mental statistics, they may also represent certain nonphysical effects on a character, as with attributes such as Luck , seen below.
A character sheet from Advanced Dungeons & Dragons. A character sheet is a record of a player character in a role-playing game, including whatever details, notes, game statistics, and background information a player would need during a play session. Character sheets can be found in use in both traditional and live-action role-playing games.
[3] [4] This diagram style is an alternative to a sawhorse projection, which views a carbon–carbon bond from an oblique angle, or a wedge-and-dash style, such as a Natta projection. These other styles can indicate the bonding and stereochemistry , but not as much conformational detail.
The name orientation form comes from the fact that a choice of preferred top element determines an orientation of the whole exterior algebra, since it is tantamount to fixing an ordered basis of the vector space. Relative to the preferred volume form , the isomorphism is given explicitly by
Specifically, a k-blade is a k-vector that can be expressed as the exterior product (informally wedge product) of 1-vectors, and is of grade k. In detail: [1] A 0-blade is a scalar. A 1-blade is a vector. Every vector is simple. A 2-blade is a simple bivector. Sums of 2-blades are also bivectors, but not always simple.
The wedge product of ordinary, real-valued differential forms is defined using multiplication of real numbers. For a pair of Lie algebra–valued differential forms, the wedge product can be defined similarly, but substituting the bilinear Lie bracket operation, to obtain another Lie algebra–valued form.
A wedge is a polyhedron of a rectangular base, with the faces are two isosceles triangles and two trapezoids that meet at the top of an edge. [1]. A prismatoid is defined as a polyhedron where its vertices lie on two parallel planes, with its lateral faces are triangles, trapezoids, and parallelograms; [2] the wedge is an example of prismatoid because of its top edge is parallel to the ...
The metric tensor (,) induces duality mappings between vector fields and one-forms: these are the musical isomorphisms flat ♭ and sharp ♯.A section () corresponds to the unique one-form ♭ such that for all sections (), we have: