Invariance in a sentence

Adiabatic invariance The properties of magnetic mirrors can be derived using the adiabatic invariance of magnetic flux under changes in magnetic field strength.

Classification of the homogeneous Lorentz group From the invariance of the spacetime interval it follows immediately : and this matrix equation contains the general conditions on the Lorentz transformation to ensure invariance of the spacetime interval.

We refer to this as TLH invariance.

An idea behind them is the scale invariance of Euclidean geometry, that permits to represent large objects in a small sheet of paper, or a screen.

A similar thesis, called the Invariance Thesis, was introduced by Cees F. Slot and Peter van Emde Boas.

Due to their self-similarity and scale invariance, they easily accommodate multiple frequencies.

For example, the conservation of energy follows from the time-invariance of physical systems, and the fact that physical systems behave the same regardless of how they are oriented in space gives rise to the conservation of angular momentum.

Fractal antennas, frequency invariance, and Maxwell's equations A different and also useful attribute of some fractal element antennas is their self-scaling aspect.

He is frequently misquoted as believing in size-distance invariance – a view held by the Optic Writers.

He thinks necessity is an unobtainable notion, but can be approximated by robust invariance across a variety of conditions—although we can never identify a proposition that is invariant with regard to everything.

However, in the Coulomb field of a nucleus the translational invariance is broken and single-photon annihilation may occur.

In matrix notation, where and are Grassmann valued row vectors, and are Grassmann valued column vectors, and M is a real valued matrix: :: Where the last equality is a consequence of the translation invariance of the Grassmann integral.

In modern quantum mechanics, the principle of superposition makes it clear that rotational invariance is not lost.

In particular, this kind non-locality is compatible with no signaling theorem and Lorentz invariance.

Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily deduce all such results from one corresponding theorem proved in the axiomatic setting.

In this formalism, angular momentum is the 2-form Noether charge associated with rotational invariance.

It shares with the special principle the invariance of the form of the description among mutually translating reference frames.

Maor 2009, p. 135 Benford's law on the distribution of leading digits can also be explained by scale invariance.

Microstructural analysis finds application also in multi-scale statistical analysis, aimed to analyze some rock features showing scale invariance (see e.g. Guerriero et al., 2009, 2011).

Other principles postulated by Einstein and later vindicated are the principle of equivalence and the principle of adiabatic invariance of the quantum number.