1. We studied their circles invariants, or invariant algebraic curves in the area on the flow fields associated with such vectors formed by circles.

2. It probed links among asymptotic invariants of covering towers, algebraic invariants of residually finite groups and dynamical properties and invariants of profinite actions.

3. There were a bunch of these types of invariants.

4. (2010) Agnostically Learning under Permutation Invariant Distributions

5. Much of Noether's work in the first epoch of her career was associated with invariant theory, principally algebraic invariant theory.

6. The invariant utility functions are completely characterized.

7. The invariants that are preserved despite modifications to the state of an object.

8. Anisotropic - not invariant with respect to direction; "Anisotropic crystals" isotropic, isotropous - invariant with respect to direction Based on WordNet 3.0, Farlex clipart collection

9. All massless particles (particles whose invariant mass is zero) are elementary.

10. Curvature and torsion are the main invariants of an affine connection.

11. 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.

12. The relative geometry of patches is captured via their 2D affine invariants.

13. GW invariants can also be defined using the language of algebraic geometry.

14. Both systems of equations are invariant under a Galilean-similitude algebra.

15. The Coulomb potential, depending on difference vectors, is invariant as well.

16. This is called the Alexander invariant or Alexander module.

17. The main invariants of an affine connection are its torsion and its curvature.

18. To satisfy these invariants, a predecessor field is maintained for each node.

19. Using invariant theory, we obtain a smaller system of algebraically independent equations.

20. Battable est employé comme adjectif singulier invariant en genre

21. Thus, the kinetic energy of an object is not invariant.

22. Barycentric coordinates are a special case of homogeneous coordinates; they are affine invariants.

23. The most controversial part of Chalmers' proposal is that mental properties are "organizationally invariant".

24. Device and method for evaluating and optimizing signals on the basis of algebraic invariants

25. Within-song frequency ratios are highly invariant, while among songs, absolute frequency is variable.

26. He has established classic theorems concerning Cohen-Macaulay rings, invariant theory and homological algebra.

27. In particle physics, a massless particle is an elementary particle whose invariant mass is zero.

28. 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.

29. For pure states, the Concurrence is a polynomial (,) ⊗ invariant in the state's coefficients

30. Williams developed algorithms for calculating invariants of algebraic number fields such as class numbers and regulators.

31. In 1902 he collaborated with John Hilton Grace on the book The Algebra of Invariants.

32. The equation was fitted in one stage using the base-age-invariant dummy variables method.

33. 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

34. Gromov-Witten invariants have evolved together with gauge theory, quantum field theory, symplectic geometry and algebraic geometry.

35. The number of independent invariants ofn×n matricesA, B and their products on which the eigenvalues λ(μ) of the matrix pencilA+μB depend is determined by means of the theory of algebraic invariants and combinatorial analysis.

36. In the first (1908–1919), she made contributions to the theories of algebraic invariants and number fields.

37. Binodal curves, tie-lines, lever rule and invariant points - How to read melting and boiling diagrams

38. 12. Preserve all the Invariant Sections of the Document, unaltered in their text and in their titles.

39. ‘Todd generalised the arithmetic genus and the invariants of the Canonical system on an algebraic variety to …

40. Action-angle coordinates are also useful in perturbation theory of Hamiltonian mechanics, especially in determining adiabatic invariants.

41. 21 Then, a fair net is enforced to be live through controlling minimal siphons by P-invariants.

42. In enumerative geometry, invariants are used to count curves that have specific properties in a complex projective manifold.

43. It's called homogeneous because it's the situation where the equations are invariant under scaling.

44. A local algebraic projective invariant family performs the 3D movement classification to satisfy the 3D synthesis assumptions.

45. Path-domain-independent (or invariant) integrals are constructed by separating the strain energies of bending and shear.

46. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.

47. Axisymmetric galaxy potentials are regular, quasi-periodic, and confined to the surfaces of invariant tori

48. Usual Assertional language for pre-post contract, invariant, decreasing expres-sions for termination proofs, etc

49. It investigates the response of a linear and time-invariant system to an arbitrary input signal.

50. Controllability (uniform, instantaneous, di®erential) all of which become equivalent for linear time invariant systems

51. A set of open problems concerning such invariants in the Uqp(u(2)) quantum algebra picture is briefly discussed.

52. Greater accuracies can be achieved in the estimated shape information and/or photometric invariants by using wavelength-indexed data.

53. We prove that Tian’s invariant on the complex Grassmann manifold Gp,q(C)is equal to 1/(p+ q).

54. Water-heated crossflow heatexchangers in air-conditioning plants are described as continuous time, nonlinear, time invariant systems with distributed parameters.

55. The influence of non-active (entrained-air) porosity on concrete mechanical properties is invariant of moisture state.

56. Analytic geometry made great progress and succeeded in replacing theorems of classical geometry with computations via invariants of transformation groups.

57. The proposed method can detect point features in images robustly and is invariant to image scale and rotation.

58. In this paper, we want to describe an algorithm for a systematic search for all translation invariant groups in Pn-1.

59. Tian's alpha-invariant was introduced by him and was later given an algebraic interpretation by János Kollár and Jean-Pierre Demailly.

60. The consistency of the physical and geological properties demonstrates a continuously Accreting, shallow-deforming, bed and invariant basal conditions

61. Ascidians, or sea squirts, are marine invertebrate filter feeders with highly reproducible cellular events and invariant embryonic cell lineages

62. There is also a 2D version of the Biot-Savart equation, used when the sources are invariant in one direction.

63. In addition, if the system is time-invariant (so LTI), then the frequency response also will not vary with time.

64. Invariant theory studies actions on algebraic varieties from the point of view of their effect on functions, which form representations of the group.

65. The question of how properties of Braids or mapping classes reflect the associated manifolds arises in Dehn surgery, link invariants, and contact and symplectic geometry.

66. Rudolf Friedrich Alfred Clebsch (19 January 1833 – 7 November 1872) was a German mathematician who made important contributions to algebraic geometry and invariant theory.

67. Controllability Gramian and various rank conditions (including Kalman’s) in both the time invariant and time varying settings and compare the results

68. Nucleotide sequences of Anthozoan mitochondrial genes, however, are virtually invariant among conspecifics, even at third codon positions of protein-coding sequences

69. Method and apparatus for determining absolute position of a tip of an elongate object on a plane surface with invariant features

70. A countable periodic reduced abelian group is determined uniquely up to isomorphism by its Ulm invariants for all prime numbers p and countable ordinals α.

71. Invariant theory of infinite groups is inextricably linked with the development of linear algebra, especially, the theories of quadratic forms and determinants.

72. This constant would restore to the general theory's description of space-time an invariant metric tensor for the fabric of space/existence.

73. We give the explicit algebraic form of the closed invariant sets for a transfer operator associated to a dilating matrix in Rd.

74. An explicit solution, in terms of Riemann invariants, is constructed from infinite-dimensional subalgebras of the symmetry algebra of the magnetohydrodynamics equations in the (1 + 2)-dimensional case.

75. 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.

76. Recently, new insights into the theory of integrabilidad of Darboux and on algebraic curves invariant provided important contributions to some of these problems.

77. Depending on the context, one can bring various Artfulnesses to bear on choosing a subgroup Hof Gand then nding an H-invariant expression s

78. Bridgeland has established the coherent derived category as a key invariant of algebraic varieties and stimulated world-wide enthusiasm for what had previously been a technical backwater.

79. Kirwan's research interests include moduli spaces in algebraic geometry, geometric invariant theory (GIT), and in the link between GIT and moment maps in symplectic geometry.

80. In the A-model of topological string theory, physically interesting quantities are expressed in terms of infinitely many numbers called Gromov–Witten invariants, which are extremely difficult to compute.