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Example of true position geometric control defined by basic dimensions and datum features. Geometric dimensioning and tolerancing (GD&T) is a system for defining and communicating engineering tolerances via a symbolic language on engineering drawings and computer-generated 3D models that describes a physical object's nominal geometry and the permissible variation thereof.
ASME Y14.5 is a standard published by the American Society of Mechanical Engineers (ASME) to establish rules, symbols, definitions, requirements, defaults, and recommended practices for stating and interpreting geometric dimensioning and tolerancing (GD&T). [1]
In manufacturing and mechanical engineering, flatness is an important geometric condition for workpieces and tools. Flatness is the condition of a surface or derived median plane having all elements in one plane. [1] Geometric dimensioning and tolerancing has provided geometrically defined, quantitative ways of defining flatness operationally.
A material condition in GD&T. Means that a feature of size ( FoS ) is at the limit of its size tolerance in the direction that leaves the least material on the part. Thus an internal feature of size (e.g., a hole) at its biggest diameter, or an external feature of size (e.g., a flange ) at its smallest thickness.
Live, Virtual, & Constructive (LVC) Simulation is a broadly used taxonomy for classifying Modeling and Simulation (M&S). However, categorizing a simulation as a live, virtual, or constructive environment is problematic since there is no clear division among these categories. The degree of human participation in a simulation is infinitely ...
In the language of stable homotopy theory, the Chern class, Stiefel–Whitney class, and Pontryagin class are stable, while the Euler class is unstable. Concretely, a stable class is one that does not change when one adds a trivial bundle: c ( V ⊕ 1 ) = c ( V ) {\displaystyle c(V\oplus 1)=c(V)} .
In mathematics, specifically enumerative geometry and symplectic geometry, the virtual fundamental class [] [1] [2] of a (typically very singular) space (or a stack) is a generalization of the classical fundamental class of a smooth manifold which has better behavior with respect to the enumerative problems being considered.
Opial's theorem (1967): Every Hilbert space has the Opial property.; Sequence spaces , <, have the Opial property.; Van Dulst theorem (1982): for every separable Banach space there is an equivalent norm that endows it with the Opial property.