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progressionmore about progression

progression


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Progression  \Pro*gres"sion\,  n.  [L.  progressio:  cf  F. 
  progression.] 
  1.  The  act  of  moving  forward;  a  proceeding  in  a  course; 
  motion  onward. 
 
  2.  Course;  passage;  lapse  or  process  of  time. 
 
  I  hope,  in  a  short  progression,  you  will  be  wholly 
  immerged  in  the  delices  and  joys  of  religion. 
  --Evelyn. 
 
  3.  (Math.)  Regular  or  proportional  advance  in  increase  or 
  decrease  of  numbers;  continued  proportion,  arithmetical, 
  geometrical,  or  harmonic. 
 
  4.  (Mus.)  A  regular  succession  of  tones  or  chords;  the 
  movement  of  the  parts  in  harmony;  the  order  of  the 
  modulations  in  a  piece  from  key  to  key. 
 
  {Arithmetical  progression},  a  progression  in  which  the  terms 
  increase  or  decrease  by  equal  differences,  as  the  numbers 
  [lbrace2]2,  4,  6,  8,  1010,  8,  6,  4,  2[rbrace2]  by  the 
  difference  2. 
 
  {Geometrical  progression},  a  progression  in  which  the  terms 
  increase  or  decrease  by  equal  ratios,  as  the  numbers 
  [lbrace2]2,  4,  8,  16,  32,  6464,  32,  16,  8,  4,  2[rbrace2] 
  by  a  continual  multiplication  or  division  by  2. 
 
  {Harmonic  progression},  a  progression  in  which  the  terms  are 
  the  reciprocals  of  quantities  in  arithmetical  progression, 
  as  1/2,  1/4,  1/6,  1/8,  1/10. 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  the  motion  of  the  point  A,  of  the  foot  of  the  perpendicular  PA 
  when  P  moves  uniformly  in  the  circumference  of  a  circle,  and  PA 
  is  drawn  perpendicularly  upon  a  fixed  diameter  of  the  circle. 
  This  is  simple  harmonic  motion.  The  combinations,  in  any  way  of 
  two  more  simple  harmonic  motions,  make  other  kinds  of  harmonic 
  motion.  The  motion  of  the  pendulum  bob  of  a  clock  is 
  approximately  simple  harmonic  motion. 
 
  {Harmonic  proportion}.  See  under  {Proportion}. 
 
  {Harmonic  series}  or  {progression}.  See  under  {Progression}. 
 
 
  {Spherical  harmonic  analysis},  a  mathematical  method, 
  sometimes  referred  to  as  that  of  Laplace's  Coefficients, 
  which  has  for  its  object  the  expression  of  an  arbitrary, 
  periodic  function  of  two  independent  variables,  in  the 
  proper  form  for  a  large  class  of  physical  problems, 
  involving  arbitrary  data,  over  a  spherical  surface,  and 
  the  deduction  of  solutions  for  every  point  of  space.  The 
  functions  employed  in  this  method  are  called  spherical 
  harmonic  functions.  --Thomson  &  Tait. 
 
  {Harmonic  suture}  (Anat.),  an  articulation  by  simple 
  apposition  of  comparatively  smooth  surfaces  or  edges,  as 
  between  the  two  superior  maxillary  bones  in  man;  --  called 
  also  {harmonic},  and  {harmony}. 
 
  {Harmonic  triad}  (Mus.),  the  chord  of  a  note  with  its  third 
  and  fifth  the  common  chord. 
 
  From  WordNet  r  1.6  [wn]: 
 
  progression 
  n  1:  a  series  with  a  definite  pattern  of  advance  [syn:  {patterned 
  advance}] 
  2:  a  movement  forward;  "he  listened  for  the  progress  of  the 
  troops"  [syn:  {progress},  {advance}] 
  3:  the  act  of  moving  forward  toward  a  goal  [syn:  {progress},  {advance}, 
  {advancement},  {forward  motion},  {onward  motion}] 




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