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An extrinsic property is not essential or inherent to the subject that is being characterized. For example, mass is an intrinsic property of any physical object , whereas weight is an extrinsic property that depends on the strength of the gravitational field in which the object is placed.
An intrinsic property is a property that a thing has itself, including its context. An extrinsic (or relational ) property is a property that depends on a thing's relationship with other things. For example, mass is an intrinsic property of any physical object , whereas weight is an extrinsic property that varies depending on the strength of ...
Suppose a composite property is a function of a set of intensive properties {} and a set of extensive properties {}, which can be shown as ({}, {}). If the size of the system is changed by some scaling factor, λ {\displaystyle \lambda } , only the extensive properties will change, since intensive properties are independent of the size of the ...
Intrinsics or intrinsic may refer to: Intrinsic and extrinsic properties, in science and engineering; Intrinsic motivation in psychology; Intrinsic muscle, in anatomy; Intrinsic function, a function in a programming language that is dealt with specially by a compiler; X Toolkit Intrinsics, a library; Intrinsic factor (biology)
For example, mass is a physical intrinsic property of any physical object, whereas weight is an extrinsic property that varies depending on the strength of the gravitational field in which the respective object is placed. Another example of a relational property is the name of a person (an attribute given by the person's parents).
Therefore an intrinsic equation defines the shape of the curve without specifying its position relative to an arbitrarily defined coordinate system. The intrinsic quantities used most often are arc length s {\displaystyle s} , tangential angle θ {\displaystyle \theta } , curvature κ {\displaystyle \kappa } or radius of curvature , and, for 3 ...
The mean curvature is an extrinsic invariant. In intrinsic geometry, a cylinder is developable, meaning that every piece of it is intrinsically indistinguishable from a piece of a plane since its Gauss curvature vanishes identically. Its mean curvature is not zero, though; hence extrinsically it is different from a plane.
Such a surface would, in modern terminology, be called a manifold; and in modern terms, the theorem proved that the curvature of the surface is an intrinsic property. Manifold theory has come to focus exclusively on these intrinsic properties (or invariants), while largely ignoring the extrinsic properties of the ambient space.