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integral

more about integral

integral

 

  4  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Integral  \In"te*gral\,  a.  [Cf.  F.  int['e]gral.  See  {Integer}.] 
  1.  Lacking  nothing  of  completeness;  complete;  perfect; 
  uninjured;  whole;  entire. 
 
  A  local  motion  keepeth  bodies  integral.  --Bacon. 
 
  2.  Essential  to  completeness;  constituent,  as  a  part 
  pertaining  to  or  serving  to  form  an  integer;  integrant. 
 
  Ceasing  to  do  evil,  and  doing  good,  are  the  two 
  great  integral  parts  that  complete  this  duty. 
  --South. 
 
  3.  (Math.) 
  a  Of  pertaining  to  or  being  a  whole  number  or 
  undivided  quantity;  not  fractional. 
  b  Pertaining  to  or  proceeding  by  integration;  as  the 
  integral  calculus. 
 
  {Integral  calculus}.  See  under  {Calculus}. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Integral  \In"te*gral\,  n. 
  1.  A  whole;  an  entire  thing  a  whole  number;  an  individual. 
 
  2.  (Math.)  An  expression  which  being  differentiated,  will 
  produce  a  given  differential.  See  differential 
  {Differential},  and  {Integration}.  Cf  {Fluent}. 
 
  {Elliptic  integral},  one  of  an  important  class  of  integrals, 
  occurring  in  the  higher  mathematics;  --  so  called  because 
  one  of  the  integrals  expresses  the  length  of  an  arc  of  an 
  ellipse. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Fluent  \Flu"ent\,  n. 
  1.  A  current  of  water;  a  stream.  [Obs.] 
 
  2.  [Cf.  F.  fluente.]  (Math.)  A  variable  quantity,  considered 
  as  increasing  or  diminishing;  --  called  in  the  modern 
  calculus,  the  {function}  or  {integral}. 
 
  From  WordNet  r  1.6  [wn]: 
 
  integral 
  adj  1:  existing  as  an  essential  constituent  or  characteristic;  "the 
  Ptolemaic  system  with  its  built-in  concept  of 
  periodicity";  "a  constitutional  inability  to  tell  the 
  truth"  [syn:  {built-in},  {constitutional},  {inbuilt}, 
  {inherent}] 
  2:  constituting  the  undiminished  entirety;  lacking  nothing 
  essential  especially  not  damaged;  "a  local  motion  keepeth 
  bodies  integral"-  Bacon;  "was  able  to  keep  the  collection 
  entire  during  his  lifetime";  "fought  to  keep  the  union 
  intact"  [syn:  {entire},  {intact}] 
  n  :  the  result  of  a  mathematical  integration;  F(x)  is  the 
  integral  of  f(x)  if  dF/dx  =  f(x)




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