1. The hyperbolic functions take a real argument called a hyperbolic angle.

2. Hyperbolic sine

3. A hanging cable forms a curve called a catenary defined using the Cosh function: f(x) = a Cosh(x/a) Like in this example from the page arc length: Other Hyperbolic Functions

4. Inverse hyperbolic sine

5. The most interesting data from the Catenary curve above is the maximum sag in the Catenary, which is at the mid-Catenary

6. (Catenary support system consists of main Catenary cable and mounting hardware at structure).

7. A structural engineer is responsible for designing the Catenary support system and for verifying structure is suitable for supporting the Catenary system includng the Visa Catenary product

8. A Catenary arch is a type of architectural arch that follows an inverted Catenary curve.The Catenary curve has been employed in buildings since ancient times

9. The Catenary and the Parabola Conceptually

10. Catenary Principle A mooring line is just a suspended cable and so the shape it assumes is Catenary shape

11. Cosh is the hyperbolic cosine function, which is the hyperbolic analogue of the Cos circular function used throughout trigonometry

12. The Supervisor, Catenary is responsible for supervising the work of lineman involved in the installation, repair and maintenance of Catenary

13. TOOLS FOR Catenary COMPRESSION PRODUCTS: Hydraulic Tools

14. ILight can make you custom Catenary Arches

15. Definition of Catenary in the Definitions.net dictionary

16. What does Catenary mean? Information and translations of Catenary in the most comprehensive dictionary definitions resource on the web.

17. The Catenary is similar to parabola (Figure 1)

18. Illustrated definition of Cosh: The Hyperbolic Cosine Function

19. Formula Description Result = Cosh(4) Hyperbolic cosine of 4: 27.308233 = Cosh(EXP(1)) Hyperbolic cosine of the base of the natural logarithm

20. Rigid Catenary system is a new power supply mode of electrification railway, comparing with the traditional flexible Catenary system, it has below advantages

21. Subsequently, he derived the same formulas as in 1911 for the transformation of rest acceleration and hyperbolic motion, and the hyperbolic reference frame.

22. Catenary accidents may or may not involve trains

23. The Catenary is the evolute of the tractrix

24. The curve that it creates is a Catenary

25. On complex manifolds, this Ampleness property implies intermediate hyperbolic properties

26. Of 1 meter long, to be used on the Catenary vehicle

27. The Catenary vehicle pole associated to the switch rod head TPU allows the setting of the equipotent bonding between vehicle and Catenary in total security

28. The IMCOSH(string) returns the hyperbolic cosine of a complex number

29. Bifurcations of orbits homoclinic and heteroclinic to hyperbolic equilibria

30. Bajillion ( plural Bajillions ) ( slang, hyperbolic) An unspecified large number (of)

31. The hyperbolic cosine of x is given by, Cosh() Parameters

32. Bazillion (plural Bazillions) (slang, hyperbolic) An unspecified large number (of)

33. Hyperbolic orbit: An orbit with the eccentricity greater than 1.

34. // Example for the hyperbolic Math.Sinh( double ) // and Math.Cosh( double ) methods

35. The architecture uses the external design of the heterogeneous hyperbolic surface.

36. For example, a hyperbolic paraboloid is a Conoid with two axes.

37. For example, a hyperbolic paraboloid is a Conoid with two axes

38. What does Bajillion mean? (slang, hyperbolic) An unspecified large number (of)

39. Every abelian subgroup of a Gromov hyperbolic group is virtually cyclic.

40. ‘some editions omitted or Athetized the passage due to its hyperbolic nature’

41. The IMSINH(string) function returns the hyperbolic sine of a complex number

42. The IMTANH(string) function returns the hyperbolic tangent of a complex number

43. The shape of a Catenary resembles greatly the shape of a parabola

44. Catenary Curve (Arch) Graphing Calculator The shape of a curve that a cable assumes when kept hanging at two ends, supported by its own weight is known as Catenary arch

45. ‘A Catenary is the curve describing a rope or chain hanging loosely between two fixed points.’ ‘Other topics which Adrain wrote about include a study of the Catenary, and …

46. The free-end Catenary analysis is performed to define the gooseneck angle

47. Catenary refers to the cables and wires that hang over electrified rail-lines

48. The following example uses Cosh to evaluate certain hyperbolic identities for selected values

49. The hyperbolic cosine satisfies the identity Cosh (x) = e x + e-x 2

50. The Microsoft Excel Cosh function returns the hyperbolic cosine of a number

51. Generally, a Catenary is the shape of a string hanging from two points

52. Contact force at the pantograph/catenary interface consists of a static and aerodynamic component.

53. Catenary pendants are then mounted on these suspended cables rather than a traditional pole

54. The Catenary is the locus of the focus of a parabola rolling along a straight line

55. We prove that a compact hyperbolic 3-manifold does not possess aC0 foliation, with geodesic leaves.

56. Examples of how to use “Catenary” in a sentence from the Cambridge Dictionary Labs

57. A visually discreet suspension solution designed specifically for Catenary system installations or bracing applications

58. Euler showed in 1744 that a Catenary revolved about its asymptote generates the only minimal

59. The Cosh() function takes a single mandatory argument representing a hyperbolic angle in radians.

60. The Catenary (lectures 36–37) is the equilibrium shape assumed by a chain suspended from two points

61. Before hyperbolic geometry, mathematicians knew about two kinds of space: Euclidean space, and spherical space.

62. Calculates a table of the Catenary functions given both fulcrum points or the lowest point

63. Catenary definition: the curve assumed by a heavy uniform flexible cord hanging freely from two points

64. In the link of petrifaction industry catenary, existence nature forestall and domain of blame nature forestall.

65. Reflection moveout in common-midpoint (CMP) gathers is generally treated by an Azimuthally-isotropic hyperbolic equation

66. It could, in the absence of dark energy, occur only under a flat or hyperbolic geometry.

67. X 2 x 1 All isoquants are hyperbolic, Asymptoting to, but never touching any axis

68. Dramatic swings in temperature (both hot and cold) can cause the Catenary wires to expand and contract

69. The discovery of hyperbolic space ushered in the field of mathematics that is called non-Euclidean geometry.

70. [S] curve for Allosteric enzyme is typically sigmoid as compared for hyperbolic curves for non-Allosteric

71. The derivation of the Catenary equation is a tricky one, and it requires some pretty advanced calculus

72. The Biaxial hyperbolic characteristics described in this study can, in principle, be generalized to other types of layered materials with different Reststrahlen bands associated with the three optical axes; thus, a broad range of applications are possible by choosing materials with appropriate hyperbolic bands.

73. Catenary models passed ANSI C136.31, the national standard for roadway and area lighting equipment to withstand vibration

74. Catenary [1-3] /3: Disp-Num [1] 2018/04/04 05:24 Male / 60 years old level or …

75. We study geometrical and algebraic properties of the coding for hyperbolic automorphisms of the torus defined in [L3].

76. Two different heat transfer equations are considered: The Fourier (parabolic) equation and the hyperbolic heat conduction equation.

77. Catenary cable system must be on level horizontal plane; if the project requires varying cable mounting heights, please consult the factory

78. The Catenary is the natural shape of a free hanging rope or chain and can be found everywhere

79. 28 The convergence analysis for the second order hyperbolic equation with the P 1 - nonconforming finite element is discussed.

80. The Catenary system provides electrical power to these trains, allowing them to move quickly up and down the corridor