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.

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

52. 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.

53. 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.

54. Some consequences of a qp quantization of a point group invariant developed in the enveloping algebra of SU(2) are examined in the present note.

55. In abstract algebra, the symmetry group of an object (image, signal, etc.) is the group of all isometries under which the object is invariant with composition as the operation.

56. He published on moduli spaces, with a theory summed up in his book Geometric Invariant Theory, on the equations defining an abelian variety, and on algebraic surfaces.

57. Researchers proposed to provide the corresponding wonderful variety to a given spherical system by studying the geometric properties of the invariant Hilbert scheme, used for classifying problems of certain algebraic varieties.

58. Lorentz (1892–1904) and Larmor (1897–1900), who believed the luminiferous aether hypothesis, also looked for the transformation under which Maxwell's equations are invariant when transformed from the aether to a moving frame.

59. Geometric relationships are captured in terms of an affine invariant, which provides robustness to the range of variation that is anticipated in matching imagery of concern, i.e., aerial video to orthophoto reference imagery.

60. Detection of codimension-two equilibrium Bifurcations in a system of ordinary differential equations allows one to predict such global phenomena as hysteresis, invariant tori, limit cycle and homoclinic Bifurcations, and chaotic attractors (cf

61. The Affine group $ { \mathop{\rm Aff} } (A) $ contains an invariant subgroup, called the subgroup of (parallel) translations, consisting of the mappings $ f: A\rightarrow A $ for which $ \phi : L \rightarrow L $ is the identity

62. Procesi studies noncommutative algebra, algebraic groups, invariant theory, enumerative geometry, infinite dimensional algebras and quantum groups, polytopes, braid groups, cyclic homology, geometry of orbits of compact groups, arrangements of subspaces and tori.

63. A method and apparatus for determining a pose of an elongate object and an absolute position of its tip while the tip is in contact with a plane surface having invariant features.

64. For an arbitrary compact group it is not in general possible to choose the 3j-symbol such that its absolute value is invariant under every permutation of the j's and of the corresponding m's.

65. The so-called class-invariant homomorphism ψ measures the Galois module structure of torsors—under a finite flat group scheme G—which lie in the image of a coboundary map associated to an isogeny between (Néron models of) abelian varieties with kernel G.

66. He attained a doctorate in 1886 in Munich under Gustav Conrad Bauer with a thesis entitled: Beziehungen zwischen der Invariantentheorie und der Theorie algebraischer Integrale und ihrer Umkehrungen (Relations between the invariant theory and the theory of algebraic integrals and their inverses).

67. The existence of a bi-invariant Riemannian metric is stronger than that of a pseudo-Riemannian metric, and implies that the Lie algebra is the Lie algebra of a compact Lie group; conversely, any compact (or abelian) Lie group has such a Riemannian metric.

68. All carbon Aerogels (up to 1000 cm(3)) with ultralow density (down to 0.16 mg cm(-3)) and temperature-invariant (-190-900 °C) super-elasticity are fabricated by facile assembling of commercial carbon nanotubes (CNTs) and chemically-converted giant graphene sheets, on the basis of the synergistic effect between elastic CNTs ribs and giant graphene cell walls.

69. Therefore I'd say that the cylindrical and Azimuthal symmetry are the same thing: The object is invariant under arbitrary rotations around the x-axis." $\endgroup$ – enumaris Dec 19 '18 at 17:03 $\begingroup$ It means to say that if i am going to use Azimuthal symmetry, it is the same with cylindrical? $\endgroup$ – Rodolfo Jr del Rosario

70. A system, method and apparatus for transmission of optical signal in which two laser beams (15, 13), operating at different frequencies, travel nearly loss-free and shape-invariant within an absorbing medium (22) whereby the nonlinearity of the beams causes an adiabatic interaction of their optical pulses to maintain signals that modulate one of the beams.

71. In fact the principal classification of Algebraic curves is given in terms of their genus which is an invariant proved to be the same in the different perspectives: the topological genus of number of doughnut holes, the arithmetic genus of the Hilbert polynomial of the Algebraic curve and the geometric genus as the number of independent