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multiplicationmore about multiplication

multiplication


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Multiplication  \Mul`ti*pli*ca"tion\,  n.  [L.  multiplicatio:  cf 
  F.  multiplication.  See  {Multiply}.] 
  1.  The  act  or  process  of  multiplying,  or  of  increasing  in 
  number;  the  state  of  being  multiplied;  as  the 
  multiplication  of  the  human  species  by  natural  generation. 
 
  The  increase  and  multiplication  of  the  world. 
  --Thackeray. 
 
  2.  (Math.)  The  process  of  repeating,  or  adding  to  itself  any 
  given  number  or  quantity  a  certain  number  of  times; 
  commonly,  the  process  of  ascertaining  by  a  briefer 
  computation  the  result  of  such  repeated  additions;  also 
  the  rule  by  which  the  operation  is  performed;  --  the 
  reverse  of  division. 
 
  Note:  The  word  multiplication  is  sometimes  used  in 
  mathematics,  particularly  in  multiple  algebra,  to 
  denote  any  distributive  operation  expressed  by  one 
  symbol  upon  any  quantity  or  any  thing  expressed  by 
  another  symbol.  Corresponding  extensions  of  meaning  are 
  given  to  the  words  multiply,  multiplier,  multiplicand, 
  and  product.  Thus  since  [phi](x  +  y)  =  [phi]x  +  [phi]y 
  (see  under  {Distributive}),  where  [phi](x  +  y),  [phi]x, 
  and  [phi]y  indicate  the  results  of  any  distributive 
  operation  represented  by  the  symbol  [phi]  upon  x  +  y, 
  x,  and  y,  severally,  then  because  of  many  very  useful 
  analogies  [phi](x  +  y)  is  called  the  product  of  [phi] 
  and  x  +  y,  and  the  operation  indicated  by  [phi]  is 
  called  multiplication.  Cf  {Facient},  n.,  2. 
 
  3.  (Bot.)  An  increase  above  the  normal  number  of  parts 
  especially  of  petals;  augmentation. 
 
  4.  The  art  of  increasing  gold  or  silver  by  magic,  -- 
  attributed  formerly  to  the  alchemists.  [Obs.]  --Chaucer. 
 
  {Multiplication  table},  a  table  giving  the  product  of  a  set 
  of  numbers  multiplied  in  some  regular  way  commonly,  a 
  table  giving  the  products  of  the  first  ten  or  twelve 
  numbers  multiplied  successively  by  1,  2,  3,  etc.,  up  to  10 
  or  12. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Compound  \Com"pound\,  a.  [OE.  compouned,  p.  p.  of  compounen  See 
  {Compound},  v.  t.] 
  Composed  of  two  or  more  elements,  ingredients,  parts 
  produced  by  the  union  of  several  ingredients,  parts  or 
  things  composite;  as  a  compound  word 
 
  Compound  substances  are  made  up  of  two  or  more  simple 
  substances.  --I.  Watts. 
 
  {Compound  addition},  {subtraction},  {multiplication}, 
  {division}  (Arith.),  the  addition,  subtraction,  etc.,  of 
  compound  numbers. 
 
  {Compound  crystal}  (Crystallog.),  a  twin  crystal,  or  one 
  seeming  to  be  made  up  of  two  or  more  crystals  combined 
  according  to  regular  laws  of  composition. 
 
  {Compound  engine}  (Mech.),  a  form  of  steam  engine  in  which 
  the  steam  that  has  been  used  in  a  high-pressure  cylinder 
  is  made  to  do  further  service  in  a  larger  low-pressure 
  cylinder,  sometimes  in  several  larger  cylinders, 
  successively. 
 
  {Compound  ether}.  (Chem.)  See  under  {Ether}. 
 
  {Compound  flower}  (Bot.),  a  flower  head  resembling  a  single 
  flower,  but  really  composed  of  several  florets  inclosed  in 
  a  common  calyxlike  involucre,  as  the  sunflower  or 
  dandelion. 
 
  {Compound  fraction}.  (Math.)  See  {Fraction}. 
 
  {Compound  fracture}.  See  {Fracture}. 
 
  {Compound  householder},  a  householder  who  compounds  or 
  arranges  with  his  landlord  that  his  rates  shall  be 
  included  in  his  rents.  [Eng.] 
 
  {Compound  interest}.  See  {Interest}. 
 
  {Compound  larceny}.  (Law)  See  {Larceny}. 
 
  {Compound  leaf}  (Bot.),  a  leaf  having  two  or  more  separate 
  blades  or  leaflets  on  a  common  leafstalk. 
 
  {Compound  microscope}.  See  {Microscope}. 
 
  {Compound  motion}.  See  {Motion}. 
 
  {Compound  number}  (Math.),  one  constructed  according  to  a 
  varying  scale  of  denomination;  as  3  cwt.,  1  qr.,  5  lb.; 
  --  called  also  {denominate  number}. 
 
  {Compound  pier}  (Arch.),  a  clustered  column. 
 
  {Compound  quantity}  (Alg.),  a  quantity  composed  of  two  or 
  more  simple  quantities  or  terms,  connected  by  the  sign  + 
  (plus)  or  -  (minus).  Thus  a  +  b  -  c,  and  bb  -  b,  are 
  compound  quantities. 
 
  {Compound  radical}.  (Chem.)  See  {Radical}. 
 
  {Compound  ratio}  (Math.),  the  product  of  two  or  more  ratios; 
  thus  ab:cd  is  a  ratio  compounded  of  the  simple  ratios  a:c 
  and  b:d. 
 
  {Compound  rest}  (Mech.),  the  tool  carriage  of  an  engine 
  lathe. 
 
  {Compound  screw}  (Mech.),  a  screw  having  on  the  same  axis  two 
  or  more  screws  with  different  pitch  (a  differential 
  screw),  or  running  in  different  directions  (a  right  and 
  left  screw). 
 
  {Compound  time}  (Mus.),  that  in  which  two  or  more  simple 
  measures  are  combined  in  one  as  6-8  time  is  the  joining 
  of  two  measures  of  3-8  time. 
 
  {Compound  word},  a  word  composed  of  two  or  more  words 
  specifically,  two  or  more  words  joined  together  by  a 
  hyphen. 
 
  From  WordNet  r  1.6  [wn]: 
 
  multiplication 
  n  1:  the  act  of  propagating  [syn:  {generation},  {propagation}] 
  2:  the  process  of  multiplying;  "this  multiplication  of  cells  is 
  a  natural  correlate  of  growth" 
  3:  an  arithmetic  operation  that  is  the  inverse  of  division;  the 
  product  of  two  numbers  is  computed;  "the  multiplication  of 
  four  by  three  gives  twelve";  "four  times  three  equals 
  twelve"  [syn:  {times}] 




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