Q
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- quadrangle
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadrant
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadratic
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadratic equation
. - An algebraic
equation (PL) formally equivalent to (x + y)2 = x2
+ 2xy + y2- 0. PL quadratic equation, general.
- quadratic equation, general
. - An
algebraic equation (PL) formally equivalent to ax2 + bx +
c = 0, where a,b,c are real numbers (PL, so quadratic
formula).
- quadratic formula
. - Given an algebraic
equation (PL) formally equivalent to ax2 + bx + c = 0,
where a,b,c are real numbers
. Its solution is given by the
formula: x = (-b ± 
(b2 - 4ac))/2a.
(Derivation.)
- quadratic programming
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadratic reciprocity law
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadratic residue
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadratrix of Hippias
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadric
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadric cone
. - May be
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.
- quadric surface
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadrilateral
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quadrillion
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quantic
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quantifier
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quantity
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quartic
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quartic curve
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quasi-empiricism
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quasi-periodic
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quaternality
. - The label "duality"
applies to a simple two-state operation. Raised to the level of the function, we
have four states: two for function, two for functand (PL). Given function, f(x), the complement (PL) is f '(x); the
dual (PL) is f '(x'); the contradual is
f(x'). Thus, whereas duality fits the symmetric group on two elements, this
principle of quaternality (suggested by Gottschalk) fits, not the symmetric group on
four elements, but the Klein viergruppe (four-group) (PL).
- quaternion
. - Irish mathematician, William
Rowan Hamilton (x-y), noted that the complex number (vector) modeled 2-D rotation,
so sought a number form for 3-D rotation. Failing with a 3-component vector, he succeeded
with a 4-component vector, the quaternion: r1 + r2i
+ r3j + r4k, for ij º
k, and ji = ¯k, with k
¹ i, k ¹ j, and k2
= ¯1. (PL hypercomplex for its derivation from the complex form; also
PL arithmetic of Clifford numbers, in which quaternions are denoted as
C4. As with complex numbers, quaternions are spinors, PL, hence useful in
quantum mathematics.)
- queueing theory
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quintic
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quintillion
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient
- The result (output) of the
division operation (PL) of arithmetic. Thus, in the division operation,
12
4 = 3, the number 3
is the quotient, whereas 12 is the dividend and 4 is the divisor.
- quotient, defined
. - A quotient
of a division operation is defined on the natural, integral systems iff the
dividend is a (natural, integral) multiple of the divisor of the operation.
Integral defined quotients induce the operational rules of vectors of integers,
which underlie the rational number system (PL).
- quotient field
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient group
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient ring
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient rule
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient set
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient space
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.
- quotient topology
. - May be
read at http://www.harcourt.com/dictionary /browse/19/
.