Hyperbolic Knot

	Hyperbolic Knot Hyperbolic may refer to: * of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics Hyperbolic geometry, a non-Euclidean geometry Hyperbolic functions, analogues of ordinary trigonometric functions, defined using the hyperbola * of or pertaining to hyperbole, the use of exaggeration as a rhetorical device or figure of speech * ''Hyperbolic'' (album), by Pnau, 2024 See also * Exaggeration * Hyperboloid In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by def ... {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Hyperbola In mathematics, a hyperbola is a type of smooth function, smooth plane curve, curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected component (topology), connected components or branches, that are mirror images of each other and resemble two infinite bow (weapon), bows. The hyperbola is one of the three kinds of conic section, formed by the intersection of a plane (mathematics), plane and a double cone (geometry), cone. (The other conic sections are the parabola and the ellipse. A circle is a special case of an ellipse.) If the plane intersects both halves of the double cone but does not pass through the apex of the cones, then the conic is a hyperbola. Besides being a conic section, a hyperbola can arise as the locus (mathematics), locus of points whose difference of distances to two fixed focus (geometry), foci is constant, as a curve for each point of which the rays to two fix ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Hyperbolic Geometry In mathematics, hyperbolic geometry (also called Lobachevskian geometry or János Bolyai, Bolyai–Nikolai Lobachevsky, Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) The hyperbolic plane is a plane (mathematics), plane where every point is a saddle point. Hyperbolic plane geometry is also the geometry of pseudosphere, pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they local property, locally resemble the hyperbolic plane. The hyperboloid model of hyperbolic geometry provides a representation of event (relativity ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Hyperbolic Functions In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points form a circle with a unit radius, the points form the right half of the unit hyperbola. Also, similarly to how the derivatives of and are and respectively, the derivatives of and are and respectively. Hyperbolic functions are used to express the angle of parallelism in hyperbolic geometry. They are used to express Lorentz boosts as hyperbolic rotations in special relativity. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including electromagnetic theory, heat transfer, and fluid dynamics. The basic hyperbolic functions are: * hyperbolic sine "" (), * hyperbolic cosine "" (),''Collins Concise Dictionary'', p. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Hyperbole Hyperbole (; adj. hyperbolic ) is the use of exaggeration as a rhetorical device or figure of speech. In rhetoric, it is also sometimes known as auxesis (literally 'growth'). In poetry and oratory, it emphasizes, evokes strong feelings, and creates strong impressions. As a figure of speech, it is usually not meant to be taken literally. Etymology 'Hyperbole' is derived from the ''huperbolḗ'' by way of Latin. The word is composed from ''hupér'' 'above, beyond' and ''bállō'' 'throw'. Unlike most English words beginning with ''hyper-'', it is stressed on the second syllable. The first known use is in the 15th century. Usage Hyperbole is often used for emphasis or effect. In casual speech, it functions as an intensifier: saying "the bag weighed a ton" simply means that the bag was extremely heavy. The rhetorical device may be used for serious or ironic or comic effects. Understanding hyperbole and its use in context can help understand the speaker's point. Hyperbole ge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Hyperbolic (album) ''Hyperbolic'' is the sixth studio album by Australian electronic trio Pnau, released on 22 March 2024 through etcetc. Their first album in seven years since '' Changa'' (2017), it features collaborations with Empire of the Sun, Khalid, Kira Divine, Marques Toliver, Bebe Rexha, Ozuna, Troye Sivan, Ladyhawke, and Emily Wurramara. At the AIR Awards of 2025, the album was nominated for Best Independent Dance or Electronica Album or EP. Background The album title was announced alongside the release of "AEIOU". Critical reception Jack Tregoning from ''The Guardian'' said "What's immediately obvious about ''Hyperbolic'' is that it's prefabbed for the Spotify age, with six of its ten songs previously released, leaving just four for fans to discover anew. It's not so much an album with a deeply considered build, but rather a neat container for playlistable songs." Tregoning also said "Pnau just wants to feel good all the time – subtlety be damned." Cyclone Wehner from ''The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Exaggeration Exaggeration is the representation of something as more extreme or dramatic than it is, intentionally or unintentionally. It can be a rhetorical device or figure of speech, used to evoke strong feelings or to create a strong impression. Amplifying achievements, obstacles and problems to seek attention is an everyday occurrence Inflating the difficulty of achieving a goal after attaining it, can be used to bolster self-esteem. In the arts, exaggerations are used to create emphasis or effect. As a literary device, exaggerations are often used in poetry, and is frequently encountered in casual speech. Many times the usages of hyperbole describes something as better or worse than it really is. An example of hyperbole is: "The bag weighed a ton." Hyperbole makes the point that the bag was very heavy, though it probably does not weigh a ton. Exaggerating is also a type of deception,Guerrero, L., Anderson, P., Afifi, W. (2007). Close Encounters: Communication in Relationships ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]