1. These topological relationships allow complex spatial modelling and analysis to be performed.

2. Buck worked on approximation theory, complex analysis, topological algebra, and operations research.

3. Every real or complex affine or projective space is also a topological space.

4. A topological group is a mathematical object with both an algebraic structure and a topological structure.

5. I think of Compactness as topological finiteness

6. Well, it's actually topological quantum order.

7. Compactness 1 Motivation While metrizability is the analyst’s favourite topological property, Compactness is surely the topologist’s favourite topological property

8. Algebraic structures such as groups to topological spaces

9. The Situs Autorouter is a Topological Autorouter

10. We introduce the notion of topological direct sum, and get a representative theorem of inductive limit by topological direct sum and quotient space.

11. Topological Glycopolymers as Agglutinator and Inhibitor: Cyclic versus Linear

12. Topological Glycopolymers as Agglutinator and Inhibitor: Cyclic versus Linear

13. A well known topological condition on D-Branes is

14. 312-574 Phone Numbers 2394768684 Albumean Topological mirror symmetry

15. Topological groups, together with their homomorphisms, form a category.

16. Topological spaces with the Compactness property are called compact spaces.

17. The Sierpiński space is the simplest non-discrete topological space.

18. In this video, we look at a topological property called Compactness

19. Topological Glycopolymers as Agglutinator and Inhibitor: Cyclic versus Linear Macromol Rapid Commun

20. this algorithm does a topological sort of an oriented and acyclic graph.

21. As a post-doctoral fellow, he also worked on P-Commutative Topological Algebras.

22. Homological Connectivity, a property related to the homology groups of a topological space.

23. Piers Bohl, a Latvian mathematician, applied topological methods to the study of differential equations.

24. Many large abelian groups possess a natural topology, which turns them into topological groups.

25. This equivalence provides a precise mathematical formulation of mirror symmetry in topological string theory.

26. Compactness can be thought of a generalization of these properties to more abstract topological spaces

27. In essence, it is a connection between the algebraic and topological sides of operator theory.

28. In physics, these equations express associativity constraints of certain algebras related to topological field theories.

29. In geometry, Chamfering or edge-truncation is a topological operator that modifies one polyhedron into another

30. The topological and analytical indices are both reinterpreted as functions from this ring to the integers.

31. This method, pharmacophore-similarity-based QSAR (PS-QSAR) uses topological pharmacophoric descriptors to develop QSAR models.

32. Its algebraic structure and topology make it into a Lie group, a type of topological group.

33. The stiffness of a griddle body was enhanced using dynamic topological optimization under multiple frequencies constraints.

34. Duality principle is a powerful tool for the analysis of topological structure of power electronic circuits.

35. The Attaching construction is an example of a pushout in the category of topological spaces

36. The invention discloses a multi - autonomous system router level topological treatment system and a method.

37. A topological space is said to be locally Contractible if it satisfies the following equivalent conditions:

38. One of its results, that not every topological algebra is localizable, has become a "well-known counterexample".

39. In one embodiment the 3D renderer creates a physical three dimensional (3D) topological surface from captured images.

40. This paper provides some theorems of the alternative for non-linear functions (sublinearconvex) between topological vector spaces.

41. In other words both structures, the algebraic and the topological one, are linked in a natural way.

42. 15 Based on the adjacency matrix network graph, the theoretical proof of the topological arithmetic is given.

43. Her work endeavours to understand the structure of geometric objects by investigation of their algebraic and topological properties.

44. 22 The topological index has good selectivity,(www.Sentencedict.com) and appears solivity for 149 alkanes from ethane to decane.

45. An example of a non-abelian, pre-abelian category is, once again, the category of topological abelian groups.

46. Therefore a mesh has four basic characteristics: geometrical property, topological structure, physical property and time - varying property.

47. In order to turn a topological space into a measurable space one endows it with a σ-algebra.

48. This book describes a Bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory

49. We have Axioms of a topological space, and Axioms for a category and Axioms of groups, semigroups and cohomologies

50. Oedipus complex.

51. Copper complex

52. A topological Autorouter uses a different method of mapping the routing space - one that is not geometrically constrained

53. In every Banach algebra with multiplicative identity, the set of invertible elements forms a topological group under multiplication.

54. Bitumen is a complex material with a complex response to stress

55. The uniform structures allow one to talk about notions such as completeness, uniform continuity and uniform convergence on topological groups.

56. He's so complex.

57. iii) Complex Cases

58. Note, however, that the topological dimension of the graph of the Hilbert map (a set in R3) is 1.

59. Narrow complex tachycardia.

60. More complex Arborizations had proportionally more inactive synapses than less complex Arborizations

61. The Hermitian Adjoint of a complex number is the complex conjugate of […]

62. The COMPLEX(real; imag) returns a complex number of form x+yi

63. Due to the attainable topological complexity of the design being dependent of the amount of elements, a large amount is preferred.

64. His research interests are in topological methods in nonlinear analysis, applications of functional analysis, set-valued analysis, topology, and algebra.

65. The extension property makes β a functor from Top (the category of topological spaces) to CHaus (the category of compact Hausdorff spaces).

66. AMYGDALA (Amygdaloid Complex) By

67. Acrylic rubber-metal complex

68. Improved radiometal complex compositions

69. Dedication of Branch Complex

70. In complex analysis , the argument or complex argument of a complex number is one component of the mod-arg form of that number.

71. The complex in sight.

72. Upper left: Office complex

73. The Cerebrum processes complex …

74. Activity Complex Description (ActivityComplexDescription)

75. Aloofin Petrochemical Complex Sec

76. 7JH7 cardiac Actomyosin complex

77. The respiratory chain contains 3 multisubunit complexes succinate dehydrogenase (complex II, CII), ubiquinol-Cytochrome c oxidoreductase (Cytochrome b-c1 complex, complex III, CIII) and Cytochrome c oxidase (complex IV, CIV), that cooperate to transfer

78. System for providing complex-dimensional content service using complex 2d-3d content file, method for providing said service, and complex-dimensional content file therefor

79. The graph of a continuous function of two variables, defined over a connected open subset of R2 is a topological surface.

80. The fundamental principle and Graph Analysis Method (GAM)for determining logical names of topological equivalent multistage interconnection network(MIN)are proposed.