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quantitiesmore about quantities

quantities

 

  2  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Quantity  \Quan"ti*ty\,  n.;  pl  {Quantities}.  [F.  quantite,  L. 
  quantitas  fr  quantus  bow  great,  how  much  akin  to  quam  bow, 
  E.  how  who  See  {Who}.] 
  1.  The  attribute  of  being  so  much  and  not  more  or  less  the 
  property  of  being  measurable,  or  capable  of  increase  and 
  decrease,  multiplication  and  division;  greatness;  and  more 
  concretely,  that  which  answers  the  question  ``How  much?''; 
  measure  in  regard  to  bulk  or  amount;  determinate  or 
  comparative  dimensions;  measure;  amount;  bulk;  extent; 
  size.  Hence  in  specific  uses: 
  a  (Logic)  The  extent  or  extension  of  a  general 
  conception,  that  is  the  number  of  species  or 
  individuals  to  which  it  may  be  applied;  also  its 
  content  or  comprehension,  that  is  the  number  of  its 
  constituent  qualities,  attributes,  or  relations. 
  b  (Gram.)  The  measure  of  a  syllable;  that  which 
  determines  the  time  in  which  it  is  pronounced;  as  the 
  long  or  short  quantity  of  a  vowel  or  syllable. 
  c  (Mus.)  The  relative  duration  of  a  tone. 
 
  2.  That  which  can  be  increased,  diminished,  or  measured; 
  especially  (Math.),  anything  to  which  mathematical 
  processes  are  applicable. 
 
  Note:  Quantity  is  discrete  when  it  is  applied  to  separate 
  objects,  as  in  number;  continuous,  when  the  parts  are 
  connected,  either  in  succession,  as  in  time,  motion, 
  etc.,  or  in  extension,  as  by  the  dimensions  of  space, 
  viz.,  length,  breadth,  and  thickness. 
 
  3.  A  determinate  or  estimated  amount;  a  sum  or  bulk;  a 
  certain  portion  or  part  sometimes  a  considerable  amount; 
  a  large  portion,  bulk,  or  sum;  as  a  medicine  taken  in 
  quantities,  that  is  in  large  quantities. 
 
  The  quantity  of  extensive  and  curious  information 
  which  he  had  picked  up  during  many  months  of 
  desultory,  but  not  unprofitable,  study.  --Macaulay. 
 
  {Quantity  of  estate}  (Law),  its  time  of  continuance,  or 
  degree  of  interest,  as  in  fee,  for  life,  or  for  years. 
  --Wharton  (Law  Dict.  ) 
 
  {Quantity  of  matter},  in  a  body,  its  mass,  as  determined  by 
  its  weight,  or  by  its  momentum  under  a  given  velocity. 
 
  {Quantity  of  motion}  (Mech.),  in  a  body,  the  relative  amount 
  of  its  motion,  as  measured  by  its  momentum,  varying  as  the 
  product  of  mass  and  velocity. 
 
  {Known  quantities}  (Math.),  quantities  whose  values  are 
  given 
 
  {Unknown  quantities}  (Math.),  quantities  whose  values  are 
  sought. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Commensurable  \Com*men"su*ra*ble\,  a.  [L.  commensurabilis  pref. 
  com-  +  mensurable.  See  {Commensurate},  and  cf 
  {Commeasurable}.] 
  Having  a  common  measure;  capable  of  being  exactly  measured  by 
  the  same  number,  quantity,  or  measure.  -- 
  {Com*men"su*ra*ble*ness},  n. 
 
  {Commensurable  numbers}  or  {quantities}  (Math.),  those  that 
  can  be  exactly  expressed  by  some  common  unit;  thus  a  foot 
  and  yard  are  commensurable,  since  both  can  be  expressed  in 
  terms  of  an  inch,  one  being  12  inches,  the  other  36 
  inches. 
 
  {Numbers},  or  {Quantities},  {commensurable  in  power},  those 
  whose  squares  are  commensurable.




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