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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. GD&T is used to define the nominal (theoretically perfect ...
ASME Y14.5 is a complete definition of geometric dimensioning and tolerancing. It contains 15 sections which cover symbols and datums as well as tolerances of form, orientation, position, profile and runout. [3] It is complemented by ASME Y14.5.1 - Mathematical Definition of Dimensioning and Tolerancing Principles.
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.
Virtual - A simulation involving real people operating simulated systems. Virtual simulations inject a Human-in-the-Loop into a central role by exercising motor control skills (e.g., flying jet or tank simulator), decision making skills (e.g., committing fire control resources to action), or communication skills (e.g., as members of a C4I team).
Compatibility conditions are mathematical conditions that determine whether a particular deformation will leave a body in a compatible state. [ 2 ] In the context of infinitesimal strain theory , these conditions are equivalent to stating that the displacements in a body can be obtained by integrating the strains .
Geometric dimensioning and tolerancing, GD&T; Global Descriptor Table, an x86 data structure; Global distance test, to compare proteins; Ground Data Terminal; GDT or Gerätedatentransfer, a medical data format; see xDT
This optimality conditions holds without constraint qualifications and it is equivalent to the optimality condition KKT or (not-MFCQ). The KKT conditions belong to a wider class of the first-order necessary conditions (FONC), which allow for non-smooth functions using subderivatives .
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.