invariant in English
the pattern of cell divisions was found to be invariant
For example, in Euclidean geometry, the relevant invariants are embodied in quantities that are not altered by geometric transformations such as rotations, dilations, and reflections.
Use "invariant" in a sentence
1. (2010) Agnostically Learning under Permutation Invariant Distributions
2. Much of Noether's work in the first epoch of her career was associated with invariant theory, principally algebraic invariant theory.
3. The invariant utility functions are completely characterized.
4. Anisotropic - not invariant with respect to direction; "Anisotropic crystals" isotropic, isotropous - invariant with respect to direction Based on WordNet 3.0, Farlex clipart collection
5. All massless particles (particles whose invariant mass is zero) are elementary.
6. They have the task of initializing the object's data members and of establishing the invariant of the class, failing if the invariant is invalid.
7. Both systems of equations are invariant under a Galilean-similitude algebra.
8. The Coulomb potential, depending on difference vectors, is invariant as well.
9. This is called the Alexander invariant or Alexander module.
10. Using invariant theory, we obtain a smaller system of algebraically independent equations.
11. Battable est employé comme adjectif singulier invariant en genre
12. Thus, the kinetic energy of an object is not invariant.
13. The most controversial part of Chalmers' proposal is that mental properties are "organizationally invariant".
14. Within-song frequency ratios are highly invariant, while among songs, absolute frequency is variable.
15. He has established classic theorems concerning Cohen-Macaulay rings, invariant theory and homological algebra.
16. In particle physics, a massless particle is an elementary particle whose invariant mass is zero.
17. The action is shown to be a first-order invariant for barely smooth modulation, and to be invariant to exponential precision, if the Hamiltonian is analytic in time and amplitude.
18. For pure states, the Concurrence is a polynomial (,) ⊗ invariant in the state's coefficients
19. The equation was fitted in one stage using the base-age-invariant dummy variables method.
20. Logic-Axiomatical Method of Recognition It is important to note, that if class axio~ are constructed from systems of invariant predicates, then they themselves will be invariant about transformation aggregate G
21. Binodal curves, tie-lines, lever rule and invariant points - How to read melting and boiling diagrams
22. 12. Preserve all the Invariant Sections of the Document, unaltered in their text and in their titles.
23. It's called homogeneous because it's the situation where the equations are invariant under scaling.
24. A local algebraic projective invariant family performs the 3D movement classification to satisfy the 3D synthesis assumptions.
25. Path-domain-independent (or invariant) integrals are constructed by separating the strain energies of bending and shear.
26. Axisymmetric galaxy potentials are regular, quasi-periodic, and confined to the surfaces of invariant tori
27. Usual Assertional language for pre-post contract, invariant, decreasing expres-sions for termination proofs, etc
28. It investigates the response of a linear and time-invariant system to an arbitrary input signal.
29. Controllability (uniform, instantaneous, di®erential) all of which become equivalent for linear time invariant systems
30. We prove that Tian’s invariant on the complex Grassmann manifold Gp,q(C)is equal to 1/(p+ q).
31. Water-heated crossflow heatexchangers in air-conditioning plants are described as continuous time, nonlinear, time invariant systems with distributed parameters.
32. The influence of non-active (entrained-air) porosity on concrete mechanical properties is invariant of moisture state.
33. The proposed method can detect point features in images robustly and is invariant to image scale and rotation.
34. In this paper, we want to describe an algorithm for a systematic search for all translation invariant groups in Pn-1.
35. Tian's alpha-invariant was introduced by him and was later given an algebraic interpretation by János Kollár and Jean-Pierre Demailly.
36. The consistency of the physical and geological properties demonstrates a continuously Accreting, shallow-deforming, bed and invariant basal conditions
37. Ascidians, or sea squirts, are marine invertebrate filter feeders with highly reproducible cellular events and invariant embryonic cell lineages
38. There is also a 2D version of the Biot-Savart equation, used when the sources are invariant in one direction.
39. In addition, if the system is time-invariant (so LTI), then the frequency response also will not vary with time.
40. Invariant theory studies actions on algebraic varieties from the point of view of their effect on functions, which form representations of the group.
41. Rudolf Friedrich Alfred Clebsch (19 January 1833 – 7 November 1872) was a German mathematician who made important contributions to algebraic geometry and invariant theory.
42. Controllability Gramian and various rank conditions (including Kalman’s) in both the time invariant and time varying settings and compare the results
43. Nucleotide sequences of Anthozoan mitochondrial genes, however, are virtually invariant among conspecifics, even at third codon positions of protein-coding sequences
44. Method and apparatus for determining absolute position of a tip of an elongate object on a plane surface with invariant features
45. Invariant theory of infinite groups is inextricably linked with the development of linear algebra, especially, the theories of quadratic forms and determinants.
46. This constant would restore to the general theory's description of space-time an invariant metric tensor for the fabric of space/existence.
47. We give the explicit algebraic form of the closed invariant sets for a transfer operator associated to a dilating matrix in Rd.
48. We studied their circles invariants, or invariant algebraic curves in the area on the flow fields associated with such vectors formed by circles.
49. Making use of distinct characteristic of invariant electric potential electro-analysis sensor, designed initiative give-wind gas control system which realizes filtration gas in difference environment.
50. Recently, new insights into the theory of integrabilidad of Darboux and on algebraic curves invariant provided important contributions to some of these problems.