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3 definitions found
From:
Taiwan MOE computer dictionary
inverse
ratio
反比
From:
Webster's Revised Unabridged Dictionary (1913)
Ra·ti·o
n.
1.
Math.
The
relation
which
one
quantity
or
magnitude
has
to
another
of
the
same
kind
.
It
is
expressed
by
the
quotient
of
the
division
of
the
first
by
the
second
;
thus
,
the
ratio
of
3
to
6
is
expressed
by
or ½;
of
a
to
b
by
a/b;
or
(
less
commonly
)
the
second
term
is
made
the
dividend
;
as
, a:b = b/a.
Note:
☞
Some
writers
consider
ratio
as
the
quotient
itself
,
making
ratio
equivalent
to
a
number
.
The
term
ratio
is
also
sometimes
applied
to
the
difference
of
two
quantities
as
well
as
to
their
quotient
,
in
which
case
the
former
is
called
arithmetical
ratio
,
the
latter
,
geometrical
ratio
.
The
name
ratio
is
sometimes
given
to
the
rule
of
three
in
arithmetic
.
See
under
Rule
.
2.
Hence
,
fixed
relation
of
number
,
quantity
,
or
degree
;
rate
;
proportion
;
as
,
the
ratio
of
representation
in
Congress
.
Compound ratio
,
Duplicate ratio
,
Inverse ratio
,
etc
.
See
under
Compound
,
Duplicate
,
etc
.
Ratio of a geometrical progression
,
the
constant
quantity
by
which
each
term
is
multiplied
to
produce
the
succeeding
one
.
◄
►
From:
Webster's Revised Unabridged Dictionary (1913)
In·verse
a.
1.
Opposite
in
order
,
relation
,
or
effect
;
reversed
;
inverted
;
reciprocal
; --
opposed
to
direct
.
2.
Bot.
Inverted
;
having
a
position
or
mode
of
attachment
the
reverse
of
that
which
is
usual
.
3.
Math.
Opposite
in
nature
and
effect
; --
said
with
reference
to
any
two
operations
,
which
,
when
both
are
performed
in
succession
upon
any
quantity
,
reproduce
that
quantity
;
as
,
multiplication
is
the
inverse
operation
to
division
.
The
symbol
of
an
inverse
operation
is
the
symbol
of
the
direct
operation
with
⁻¹
as
an
index
.
Thus
sin
⁻¹
x
means
the
arc
or
angle
whose
sine
is
x
.
Inverse figures
Geom.
,
two
figures
,
such
that
each
point
of
either
figure
is
inverse
to
a
corresponding
point
in
the
order
figure
.
Inverse points
Geom.
,
two
points
lying
on
a
line
drawn
from
the
center
of
a
fixed
circle
or
sphere
,
and
so
related
that
the
product
of
their
distances
from
the
center
of
the
circle
or
sphere
is
equal
to
the
square
of
the
radius
.
Inverse ratio
,
or
Reciprocal ratio
Math.
,
the
ratio
of
the
reciprocals
of
two
quantities
.
Inverse proportion
,
or
Reciprocal proportion
,
an
equality
between
a
direct
ratio
and
a
reciprocal
ratio
;
thus
, 4 : 2 : : ⅓ : ⅙,
or
4 : 2 : : 3 : 6,
inversely
.
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