Paradox.
The Greek philosopher Zeno (circa 460 BC) is famous for several paradoxes.
In one Achilles couldn't catch a tortoise because he had first to reach
the point where the tortoise started. Meanwhile, the tortoise would move
to another point, etc. B. Russell has discovered paradoxes of infinity
(The set of all sets that do not contain themselves - does it contain
itself?) There are semantic paradoxes (All Web page authors are liars)
and self-referential ones.
Parity.
The word parity applies to situations where two items or their properties
may be juxtaposed as being opposites (in a certain context) of each other.
Integers are of either odd or even parity when they are, respectively,
odd or even. The convenience is in being able to say "two numbers
of different parities" without having to explicitly mention which
is which.
Pole.
Pole is a singularity of an analytic function where it behaves very nearly
like a rational function. If the function is bounded around a singularity
the latter is called removable.
Program.
A program is a sequence of instructions that accomplish a certain task.
Often instructions are written in a machine language so that a computer
may perform the task required.
Projection.
Our shadow is our projection on the ground. x is the projection on the
X axis and y is the projection on the Y axis, of the point (x, y).
Quadrant
When the
axes are drawn in a coordinate plane, the plane is divided into 4 sections
called quadrants.
Quadrilateral
A four sided figure.
Quartile
Any one of the values in a frequency distribuion that divides the distribution
into four parts of equal frequency. The first quartile is the number below
which 1/4 of the values are found.
Ring.
A ring is an additive commutative group in which a second operation (normally
considered as multiplication) is also defined. The multiplication must
be associative, i.e. a+(b+c)=(a+b)+c and the distributive law a(b + c)
= ab + ac and (b + c)a = ba + ca must hold. If a ring is also a commutative
multiplicative group (of course, with 0 removed) then it's called a field.
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