browse words by letter
a b c d e f g h i j k l m n o p q r s t u v w x y z
interpolation

## interpolation

```  3  definitions  found

From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]:

Interpolation  \In*ter`po*la"tion\,  n.  [L.  interpolatio  an
alteration  made  here  and  there:  cf  F.  interpolation.]
1.  The  act  of  introducing  or  inserting  anything  especially
that  which  is  spurious  or  foreign.

2.  That  which  is  introduced  or  inserted,  especially  something
foreign  or  spurious.

Bentley  wrote  a  letter  .  .  .  .  upon  the  scriptural
glosses  in  our  present  copies  of  Hesychius  which  he
considered  interpolations  from  a  later  hand.  --De
Quincey.

3.  (Math.)  The  method  or  operation  of  finding  from  a  few
given  terms  of  a  series,  as  of  numbers  or  observations,
other  intermediate  terms  in  conformity  with  the  law  of  the
series.

From  WordNet  r  1.6  [wn]:

interpolation
n  1:  (mathematics)  calculation  of  the  value  of  a  function  between
2:  an  action  or  remark  that  interrupts  [syn:  {interjection},  {interposition}]

From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]:

interpolation

A  mathematical  procedure  which
estimates  values  of  a  {function}  at  positions  between  listed
or  given  values.  Interpolation  works  by  fitting  a  curve"
(i.e.  a  function)  to  two  or  more  given  points  and  then
applying  this  function  to  the  required  input.  Example  uses
are  calculating  {trigonometric  functions}  from  tables  and
audio  waveform  sythesis.

The  simplest  form  of  interpolation  is  where  a  function,  f(x),
is  estimated  by  drawing  a  straight  line  ("linear
interpolation")  between  the  nearest  given  points  on  either
side  of  the  required  input  value:

f(x)  ~  f(x1)  +  (f(x2)  -  f(x1))(x-x1)/(x2  -  x1)

There  are  many  variations  using  more  than  two  points  or  higher
degree  {polynomial}  functions.  The  technique  can  also  be
extended  to  functions  of  more  than  one  input.

(1997-07-14)

```