Sentence examples for continuous translations from inspiring English sources

They include problems with discrete symmetries such as rotational symmetries in rotating electrical machines and problems with continuous symmetries such as continuous translations in waveguides.

As another example, if a physical experiment has the same outcome at any place and at any time, then its laws are symmetric under continuous translations in space and time; by Noether's theorem, these symmetries account for the conservation laws of linear momentum and energy within this system, respectively.

Though he claimed to have rendered several books into English, his work is more a paraphrase and abridgment than a continuous translation.

A complete classification is obtained of continuous, translation invariant, Minkowski valuations on an m-dimensional complex vector space which are covariant under the complex special linear group.

As a result of independent interest, we identify within the space of translation-invariant valuations the class of Klain Schneider continuous valuations, which strictly contains all continuous translation-invariant valuations.

For this, we make a continuous translation of (mathbb{T}) to find a number (tau_{1}) such that (mathbb{T}capmathbb{T}^{tau_{1}}:=mathbb{T}_{1}) is the maximum.

However, it is also known that spatial disorder can act to pin states to certain network locations by breaking the (continuous) translation symmetry of the system, as described in [38] for neural field models with heterogeneous anatomical connectivity patterns.

However the predicted splice sites were usually suboptimal and the intron sequences were in frame in all cases, thereby allowing continuous translation.

We use V al ∞ to denote the space of continuous translation invariant and smooth valuations.

(ii) The map K ↦ g i (K, ⋅ ) is a continuous translation invariant valuation of degree i.

Systematic investigations of continuous translation biinvariant bivaluations were started in  [4].