Hyperbole is gross exaggeration. A good example would be tall tales from American folklore. You can't really hook up a huge blue ox to a rambling river and "pull it straight." You can't really have a woman bounce all the way to the moon. You can't really ride a tornado. But it makes for a great story.
Brenna
Hyperbolic means of or relating to a hyperbole. A hyperbole is an intentional exaggeration; therefore a hyperbolic description is when a person describes something using an obvious exaggeration. For example if you say, "I've told you a million times not to exaggerate."
The basic ones are: sine, cosine, tangent, cosecant, secant, cotangent; Less common ones are: arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent; hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent; hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent.
An arc-hyperbolic function is an inverse hyperbolic function.
It works in Euclidean geometry, but not in hyperbolic.
Journal of Hyperbolic Differential Equations was created in 2004.
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
If you hold a chain at both ends and let it hang loosely, the path of the chain follows the path of the hyperbolic cosine. (This is also the shape of the St. Lois Arch.) Also, the integrals of many useful functions. For example, if an object is falling in a constant gravitational field with air resistance, the velocity of the object as a function of time involves the inverse hyperbolic tangent.
by creating two planes such that one parallel is hyperbolic and the other parabolic
It is a hyperbolic function.
Bram van Leer has written: 'Multidimensional explicit difference schemes for hyperbolic conservation laws' -- subject(s): Differential equations, Hyperbolic, Hyperbolic Differential equations
It is used in hyperbolic functions; it's the rule to change a normal trig function into hyperbolic trig function. Example: cos(x-y) = cosx cosy + sinx siny Cosh(x-y) = coshx coshy - sinhx sinhy Whenever you have a multiplication of sin, you write the hyperbolic version as sinh but change the sign. also applied when: tanxsinx (sinx)^2 etc... Hope this helps you
Hyperbolic geometry was developed independently by Nikolai Lobachevsky, János Bolyai, and Carl Friedrich Gauss in the early 19th century. However, it was Lobachevsky who is credited with first introducing the concept of hyperbolic geometry in his work.