Examples of 'scale invariance' in a sentence

Meaning of "scale invariance"

scale invariance: A concept in mathematics and physics where a system or equation maintains its form regardless of changes in scale
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  • a feature of objects or laws that do not change if length scales (or energy scales) are multiplied by a common factor.

How to use "scale invariance" in a sentence

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scale invariance
The following figures show scale invariance of embodiments.
Some of these occurrences are related to the notion of scale invariance.
In many cases of physical interest scale invariance enlarges to conformal invariance.
There is evidence for a slight deviation from scale invariance.
In statistical mechanics, scale invariance is a feature of phase transitions.
Fractal structures are mathematical constructs which exhibit scale invariance.
By this, he means the scale invariance of empty space.
I think that the most difficult concept is that of scale invariance.
In mathematics, scale invariance usually refers to an invariance of individual functions or curves.
One proposal is that of scale invariance.
Indeed, scale invariance in complex phenomenon is intimately linked to network science.
So the same type of scale invariance.
However, scale invariance does appear in some physical systems, such as electrical breakdown.
The idea of scale transformations and scale invariance is old in physics.
So what does scale invariance of the distribution of the first significant digit really mean?

See also

These results confirm as well the scale invariance of the system.
It normalizes the image to obtain a histogram that is independent of picture-taking conditions, scale invariance.
So, these theories share the scale invariance at the classical level.
Those interactions cause QCD to flout a principle called scale invariance.
In quantum field theory, scale invariance has an interpretation in terms of particle physics.
This research exploits a new theoretical model based on the scale invariance of empty space.
For scale invariance the following number is calculated and compared against a pre-set limit.
So that 's the notion of scale invariance.
Benford 's law on the distribution of leading digits can also be explained by scale invariance.
Moreover, the slight deviation from scale invariance has been measured.
We also highlighted the fractal nature of Islamic indexes reflecting self-similarity and scale invariance.
Proach, rather than scale invariance.
Abstract, Log-infinitely divisible cascades provide a general framework to study the property of scale invariance.
Self-similarity and scale invariance.
Moreover, there is evidence for a slight deviation from scale invariance.
The signature of these processes is the scale invariance ( power-law behavior ) of its observables.
That is, there is no privileged spatial level of description, i.e., scale invariance exists.
In this work we study the detection of discrete scale invariance or log-periodicity.
The best explanation of Benford 's law is scale invariance.
A fractal object has self-similarity, or scale invariance.

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Examples of using Invariance
Translational invariance come naturally to shape context
Parsimony is closely related to the idea of invariance
This invariance also extends to movements of translation
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Examples of using Scale
Too much lime scale in the appliance
If scale becomes difficult to remove with brush
But we must now scale up our actions
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