How To Use Invariance In A Sentence

The intuition behind MM's second invariance theorem, i.e., that dividend policy does not affect the market value of the firm in equilibrium, is also apparent in retrospect.
The Prize in Economics 1990  Press Release

This is applicable for discrete and continuous symmetries (although no time reversal symmetries) that are associated with invariance under unitary transformations.
Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day

In classical mathematics, he founded modern topology by establishing, for example, the topological invariance of dimension and the fixpoint theorem.

This principle of time invariance is enshrined in Noether’s Theorem.
The perpetual motion machine « Anglican Samizdat

They almost always break the Lorentz invariance which is always a huge problem because the Lorentz invariance is one of the key experimentally verified principles underlying modern science (special relativity is crucial in particle physics).
The Reference Frame

The Weyl curvature thereby returns to zero, all particles are massless again, and conformal invariance resumes.
Archive 20090501

Pearle's approach requires the precise formulation of the idea of stochastic Lorentz invariance.
Collapse Theories

the invariance of the configuration under translation

Others, notably James Clerk Maxwell, restricted their opposition to the attempts to apply the concept of natural selection outside the biological realm by pointing to the invariances of the microscopic world.

However, characterizing the migration and traction of a population of cells assuming time invariance obviates determination of dynamic changes in the associated parameters.

There is, in fact, a most elegant generalization, in the context of quantum mechanics, which is applicable to all symmetries, discrete and continuous, that are associated with invariance under unitary transformations. [ref]
Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day

This far  reaching assumption about the invariance of physical laws is a foundation stone oftheory of relativity.

Considered formally, the admission of a coordinate system which is accelerated with respect to the original "inertial" coordinates means the admission of nonlinear coordinate transformations, hence a mighty enlargement of the idea of invariance, i.e., the principle of relativity.
Out Of My Later Years

However, the invariance criterion can be extended in a natural way to intensional operators.
Logical Constants

So the invariance criterion seems to accord at least partially with common intuitions about logicality or topic neutrality, and with our logical practice.
Logical Constants

It is pointed out that the quantum motion of charged particles in uniform magnetic field does not violate the gauge invariance principle.

The validity of the controller is proved through theoretical analysis based on the invariance principle of differential equations and numerical simulations.

Hermeneutical realism is not a constructivism because the objects that we perceive to be real exhibit invariances that are not under our control.

An awareness of number invariance would imply the ability to conserve number and that corresponding schemata have developed.

In contrast, quantum theory depends on a more fundamental, nonlocal topological invariance which is well known to be free of metrical constraints.
The Birdcage

Three important papers on plane topology proved the topological invariance of the dimension of the square.

We can now prove invariance of dimension, one of the most important results about vector spaces.

Since a cell would be generated through an OOL process, would'nt having to presume the existence of one and the genome in it to refute the contention that a measure of genomic invariance is necessary, not be selfdefeating?
Another Protozoan and FrontLoading

Image metaphors adhere to The Invariance Principle, which preserves the cognitive topology of the source domain, in a way consistent with the inherent structure of the target domain.

(1953, 149), and: “The feature which suggests reality is always some kind of invariance of a structure independent of the aspect, the projection” (149).
Structural Realism

If Lorentz invariance were violated, the gammarays would pass right through the extragalactic infrared fog with insufficient energy to cause annihilation.

The concepts of viability and invariance about complex stochastic system are introduced, theorems of viability and invariance are proposed and proved to characterize rational decision.

What we want is a characterization of every physical process so that the invariance of cause and effect corresponds to nomological irreversibility.

The observed invariance of melittininduced leakage with differences in bilayer hydrocarbon thickness is also evidence in favor of the toroidal pore over the barrel stave pore.

The very invariance of the universal fossil sequence is the strongest argument against its production in a single gulp.

The complete measurement and path model was tested for configural invariance across ethnic groups.

We first offer an accurate identification approach for linear timeinvariance dynamic systems with simple form of parameters, and derive its error bound.

This connection provides the major conceptual apparatus of modern physics, through the concept of physical symmetries, or invariance principles, and valid transformations.

Dual  Tree Complex Wavelet Transform ( DT  CWT ) can provide shift invariance and directional selectivity.

In this paper, a translation invariance wavelet transform is applied to image denoise.

Experimental results demonstrate that it is possible to achieve the rotationinvariance pattern recognition in registration mark with the proposed method.

Extensive simulation results demonstrate the validity of the novel halfrate rotational invariance joint spacefrequency coding scheme and the performance of the direct decoding algorithm.

But such invariance only exemplifies objectivity in a case like this, not when the invariance is with respect to nonmental facts ” for example, invariance of shape under change of position.
Relativity & Objectivity

Middle school students would perceive the globalfirst topological invariance of the solid figure when they make the projection, and then the local property or components.

Image metaphors adhere to The Invariance Principle, which preserves the cognitive topology of the source domain, in a way consistent with the inherent structure of the target domain.

The validity of the controller is proved through theoretical analysis based on the invariance principle of differential equations and numerical simulations.

Informally, the “invariance under subsequence selection” is supposed to capture the idea that the probabilities of events in any infinite subsequence selected from the original sequence by a procedure based on the indices of events in the original sequence alone, will be the same as the probabilities of events in the original sequence.
Hans Reichenbach

Manifest diffeomorphism invariance seems too limited if we want to describe string theory.
The String Theory Backlash

Bonnay (2008) argues for a different criterion, invariance under potential isomorphism, which counts finite cardinality quantifiers and the notion of finiteness as logical, while excluding the higher cardinality quantifiers ” thus “[setting] the boundary between logic and mathematics somewhere between arithmetic and set theory”
Logical Constants

Male widow" is one example; versions of it can be used as counterexamples to the different versions of the idea of logicality as permutation invariance
Logical Truth

Now suppose that our Lagrangian has a timeindependent symmetry (we mean a symmetry as an invariance: something does not change under a set of transformations).
Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day

Based on invariance of the crossratio in projective transformation, this paper designed a gray artificial landmark for visionbased recognition by shape information.