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analysis

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analysis


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Analysis  \A*nal"y*sis\,  n.;  pl  {Analyses}.  [Gr.  ?,  fr  ?  to 
  unloose,  to  dissolve,  to  resolve  into  its  elements;  ?  up  +  ? 
  to  loose.  See  {Loose}.] 
  1.  A  resolution  of  anything  whether  an  object  of  the  senses 
  or  of  the  intellect,  into  its  constituent  or  original 
  elements;  an  examination  of  the  component  parts  of  a 
  subject,  each  separately,  as  the  words  which  compose  a 
  sentence,  the  tones  of  a  tune,  or  the  simple  propositions 
  which  enter  into  an  argument.  It  is  opposed  to 
  {synthesis}. 
 
  2.  (Chem.)  The  separation  of  a  compound  substance,  by 
  chemical  processes,  into  its  constituents,  with  a  view  to 
  ascertain  either  a  what  elements  it  contains,  or  b  how 
  much  of  each  element  is  present.  The  former  is  called 
  {qualitative},  and  the  latter  {quantitative  analysis}. 
 
  3.  (Logic)  The  tracing  of  things  to  their  source,  and  the 
  resolving  of  knowledge  into  its  original  principles. 
 
  4.  (Math.)  The  resolving  of  problems  by  reducing  the 
  conditions  that  are  in  them  to  equations. 
 
  5. 
  a  A  syllabus,  or  table  of  the  principal  heads  of  a 
  discourse,  disposed  in  their  natural  order 
  b  A  brief,  methodical  illustration  of  the  principles  of 
  a  science.  In  this  sense  it  is  nearly  synonymous  with 
  synopsis. 
 
  6.  (Nat.  Hist.)  The  process  of  ascertaining  the  name  of  a 
  species,  or  its  place  in  a  system  of  classification,  by 
  means  of  an  analytical  table  or  key. 
 
  {Ultimate},  {Proximate},  {Qualitative},  {Quantitative},  and 
  {Volumetric  analysis}.  (Chem.)  See  under  {Ultimate}, 
  {Proximate},  {Qualitative},  etc 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Mathematics  \Math`e*mat"ics\,  n.  [F.  math['e]matiques,  pl.,  L. 
  mathematica,  sing.,  Gr  ?  (sc.  ?)  science.  See  {Mathematic}, 
  and  {-ics}.] 
  That  science,  or  class  of  sciences,  which  treats  of  the  exact 
  relations  existing  between  quantities  or  magnitudes,  and  of 
  the  methods  by  which  in  accordance  with  these  relations, 
  quantities  sought  are  deducible  from  other  quantities  known 
  or  supposed;  the  science  of  spatial  and  quantitative 
  relations. 
 
  Note:  Mathematics  embraces  three  departments,  namely:  1. 
  {Arithmetic}.  2.  {Geometry},  including  {Trigonometry} 
  and  {Conic  Sections}.  3.  {Analysis},  in  which  letters 
  are  used  including  {Algebra},  {Analytical  Geometry}, 
  and  {Calculus}.  Each  of  these  divisions  is  divided  into 
  pure  or  abstract,  which  considers  magnitude  or  quantity 
  abstractly,  without  relation  to  matter;  and  mixed  or 
  applied,  which  treats  of  magnitude  as  subsisting  in 
  material  bodies,  and  is  consequently  interwoven  with 
  physical  considerations. 
 
  From  WordNet  r  1.6  [wn]: 
 
  analysis 
  n  1:  an  investigation  of  the  component  parts  of  a  whole 
  2:  the  abstract  separation  of  a  whole  into  its  constituent 
  parts  for  study  [syn:  {analytic  thinking}]  [ant:  {synthesis}] 
  3:  a  form  of  literary  criticism  in  which  the  structure  of  a 
  piece  of  writing  is  analyzed 
  4:  the  use  of  closed-class  words  instead  of  inflections:  e.g., 
  "the  father  of  the  bride"  instead  of  "the  bride's  father" 
  5:  a  branch  of  mathematics  involving  calculus  and  the  theory  of 
  limits;  sequences  and  series  and  integration  and 
  differentiation 
  6:  a  set  of  techniques  for  exploring  underlying  motives  and  a 
  method  of  treating  various  mental  disorders;  "his 
  physician  recommended  psychoanalysis"  [syn:  {psychoanalysis}, 
  {depth  psychology}] 




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