Invariant In Sentences - Examples Of Invariant In Sentences

Search your words in sentences https://englishteststore.net/index.php?option=com_content&view=article&id=20211&Itemid=1131 - 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.