**What is Manifold?**

The branch of science concerned with control systems,
especially with regard to the comparisons between those of machines and those
of man and other animals. In a series of operations, information gained at one
stage can be used to modify later performances of that operation. This known as
feedback and enables a control system to check and possibly adjust it actions
when required.

**What is cyclic polygon?**

Cyclic polygon is a
polygon with all its vertices on the circumference of a circle. All triangles
are cyclic, squares and rectangles are cyclic quadrilaterals, all regular
polygons are cyclic.

**What is Impossibility Theorem?**

Any theorem asserting the impossibility of some much sought
after, often intuitively plausible.

**What is Locus?**

The path traced out by a point constrained to move in
accordance with given conditions. The locus may be a point, line, curve, plane,
a surface, or a solid. For example, the locus of a point which moves in such a
way that it distance from a fixed point is always equal to its distance from a
fixed straight line is a parabola.

**What is Manifold?**

Manifold is a class with subclasses. For example, a plane is
two dimensional manifolds of points as each point is specified by two
co-ordinates, the abscissa and the ordinate. Similarly, Euclidean space is a
three dimensional manifold of point.

**What is Meridian?**

Meridian is a great circle passing through the north and
south poles. A local meridian of a point on the earth’s surface is the great circle
passing through the north and south poles and that point.

**What is Orthocenter?**

Orthocenter is a point which is the common point of
intersection of the three altitudes of a triangle. Altitudes of a triangle are
the lines from each vertex drawn perpendicular to the opposite sides. The triangle
formed by joining the feet of the altitudes is called peal triangle.

**What is Osborne’s rule?**

The rule that states that trigonometric identities can be
transformed into the corresponding identities for hyperbolic functions by
multiplying out fully, replacing all trigonometric functions with their
hyperbolic analogues, and then changing the signs of any terms involving the
product of two sighs, for instance,

Cos (x-y) = cos x cos y + sin x + sin y

**Osborne’s rule permits us to infer**

Cosh(x-y) = cosh x cosh y – sinh x sinh y

**What is Perimeter?**

Perimeter is the length of a plane figure around its edge. For
example, perimeter of a square is four times the length of its side. Length of
a closed curve is its perimeter, so that the perimeter of a circle is its
circumference.

**What is Pivotal Function?**

A function of data, derived from an experiment and the parameter
of interest, regarded as a random variable with probability distribution independent
of any unknown parameter.

**What is Platonism?**

The philosophical theory that mathematical objects exist in
advance of an independently of our knowledge of them and of any physical
instantiation of them, and therefore that mathematical truth does not consist
in, but is the aim of the construction of proofs.

**What is Polyhedron?**

Polyhedron is a solid figure bounded by a number of faces
each of which is a polygon. The point of intersection of three or more faces is
called a vertex of the polyhedron; the line of intersection of two plane faces
is called an edge of the polyhedron. A regular polyhedron is one in which all
the faces are congruent regular polygons. There are only five regular
polyhedrons with number of faces as 4, 6, 8, 12 and 20.

Some unkonwn words in mathematics - What is Cybernetics? What is Manifold?
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on
January 06, 2020
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