homogeneous function การใช้

• Such a function as is called a homogeneous function of degree 1.
• Intuitively, these symbol classes generalize the notion of positively homogeneous functions of degree m.
• Positive homogeneous functions are characterized by "'Euler's homogeneous function theorem " '.
• Positive homogeneous functions are characterized by "'Euler's homogeneous function theorem " '.
• The equivalence of the two equations results from Euler's homogeneous function theorem applied to " P ".
• The earliest example of an infinitesimal transformation that may have been recognised as such was in Euler's theorem on homogeneous functions.
• The result is complicated and non-linear, but a homogeneous function of \ tilde { E } _ i ^ a of order zero,
• Defines an absolutely homogeneous function of degree 1 for; however, the resulting function does not define an F-norm, because it is not subadditive.
• *PM : Euler's theorem on homogeneous functions, id = 7121-- WP guess : Euler's theorem on homogeneous functions-- Status:
• *PM : Euler's theorem on homogeneous functions, id = 7121-- WP guess : Euler's theorem on homogeneous functions-- Status:
• Homogeneous functions can also be defined for vector spaces with the origin deleted, a fact that is used in the definition of sheaves on projective space in algebraic geometry.
• By Euler's second theorem for homogeneous functions, \ bar { Z _ i } is a homogeneous function of degree 0 which means that for any \ lambda:
• By Euler's second theorem for homogeneous functions, \ bar { Z _ i } is a homogeneous function of degree 0 which means that for any \ lambda:
• Given a homogeneous polynomial of degree " k ", it is possible to get a homogeneous function of degree 1 by raising to the power 1 / " k ".
• (This is equivalent to saying that extensive composite properties are homogeneous functions of degree 1 with respect to \ { A _ j \ } . ) It follows from Euler's homogeneous function theorem that
• (This is equivalent to saying that extensive composite properties are homogeneous functions of degree 1 with respect to \ { A _ j \ } . ) It follows from Euler's homogeneous function theorem that
• A function ( defined on some open set ) on \ mathbb P ( V ) gives rise by pull-back to a 0-homogeneous function on " V " ( again partially defined ).
• The aforementioned equivalence of metric functions remains valid if } } is replaced with, where is any convex positive homogeneous function of degree 1, i . e . a vector norm ( see Minkowski distance for useful examples ).
• This vector field is radial in the sense that it vanishes uniformly on 0-homogeneous functions, that is, the functions that are invariant by homothetic rescaling, or " " independent of the radial coordinate " ".
• In the case the constraint on the particle is time-independent, then all partial derivatives with respect to time are zero, and the kinetic energy has no time-dependence and is a homogeneous function of degree 2 in the generalized velocities;