# Invariant In Sentences - Examples Of Invariant In Sentences

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Apr 13, 2024

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- The coarse equivalence class of this space is an invariant of the group.
- Ergodic theory considers measures that are invariant under, or arise naturally from, a dynamical system.
- The number of colorings meeting these conditions is a knot invariant, independent of the diagram chosen for the link.
- There are two solutions invariant under this transformation, one with a pole of order 2 at 0, and the other with a zero of order 3 at 0.
- A quantity invariant under Lorentz transformations is known as a Lorentz scalar.
- Another remarkable property of this invariant states that the Jones polynomial of an alternating link is an alternating polynomial.
- The standard deviation is invariant under changes in location parameter, and scales directly with the scale parameter of the random variable.
- They both required that every law of physics should be invariant under these transformations.
- Rather than an invariant time interval between two events, there is an invariant spacetime interval.
- Because of this feature, cohomology is usually a stronger invariant than homology.
- However, this quantity, like the total energy of a particle, is not invariant.
- In other words, it is a topological invariant.
- They suggested a number of experiments to test if the weak interaction is invariant under parity.
- This means that surface area is invariant under the Euclidean group.
- With the field modes understood and the conjugate field defined, it is possible to construct Lorentz invariant quantities for fermionic fields.
- Objects represented as an arrangement of geons would, similarly, be viewpoint invariant.
- But the zero value of the vector potential is not a gauge invariant idea.
- The children thus showed a recognition that number, at least in this situation, should remain invariant.
- Now we want to compute a descriptor vector for each keypoint such that the descriptor is highly distinctive and partially invariant to the remaining variations such as illumination, 3D viewpoint, etc.
- And of course, while the various components of the invariant distance may change, the total invariant distance itself must of course remain invariant.
- This invariant evaluates to 0 if the manifold can be converted to a sphere, and 1 otherwise.
- If the flow leaves a probability measure invariant, the same is true of the base transformation.
- It is required to be invariant.
- In 1841, Boole published an influential paper in early invariant theory.
- The same is true for massless particles in such system, which add invariant mass and also rest mass to systems, according to their energy.
- The essential spectrum is invariant under compact perturbations.
- Since flatness is preserved across Morita equivalence, it is now clear that von Neumann regularity is Morita invariant.
- Heylighen has proposed a revision of these Kantian ideas, in which these principles are not supposed to be invariant and necessary.
- The functional measure would have to be invariant under the one parameter group of symmetry transformation as well.
- Under Ricci flow manifolds with Euclidean geometry remain invariant.
- While this method is translation invariant, it is unable to account for rotations.
- In particular, one constructs a manifold that approximates an invariant manifold of the given system.
- If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation.
- However, in some applications, the polygon in question is invariant, while the point represents a query.
- In a traditional Dalitz plot, the Coordinate axis of the plot are the squares of the invariant masses of two pairs of the decay products.
- And suppose that the integral is invariant under a continuous symmetry.
- The values of the Lyapunov exponents are invariant with respect to a wide range of coordinate transformations.
- One of the open problems in functional analysis is to prove that every bounded linear operator on a Hilbert space has a proper invariant subspace.
- This is why the invariant mass is the same as the rest mass for single particles.
- In particular, the root system must be invariant under Reflection through the hyperplane perpendicular to any root.
- Intuitively, we glob together the Jordan block invariant subspaces corresponding to the same eigenvalue.
- A necessary condition for this to happen is that the critical point should be invariant under spatial rotations and translations.

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