invariant property

invariant property

[in′ver·ē·ənt ′präp·ərd·ē]
(mathematics)
A mathematical property of some space unchanged after the application of any member from some given family of transformations. Also known as invariance.
References in periodicals archive ?
Defects in this type of DWT are aliasing, its shift invariant property and a lack of directivity in higher dimensions (because coefficients related to trace ground rolls traced at the same scale are different and hamper making all coefficients zero, ground rolls therefore not being completely removed).
An invariant property of any similarity transformation is that angles are preserved and distances between points remain proportional before and after transformation, thus shape is preserved (Mikhail et al.
First of these is the RI invariant property of the BACH motive whereby, since P equals RI and I equals R, there are only two melodic forms of the motive, involving either ordinals 3, 6, 8, and 12 of any P or I form, or 12, 8, 6, and 3 of any R or RI form.
Let P be an isomorphic invariant property in loops(quasigroups).
In this respect, an invariant property may be expressed as a function of different mean values of the flow field variables.