﻿900 
  Dr. 
  I. 
  J. 
  Schwatt 
  on 
  a 
  Method 
  for 
  the 
  

  

  The 
  last 
  summation 
  includes 
  

  

  

  t-2 
  t-l 
  

   or 
  

  

  1 
  » 
  * 
  r. 
  2XtT 
  2X(/3 
  + 
  1)tT 
  2X^tt-1 
  

  

  c 
  « 
  = 
  -?- 
  x 
  i 
  |_ 
  2cos 
  ~ 
  cos 
  — 
  "- 
  2cos 
  ~rJ- 
  

  

  We 
  finally 
  obtain 
  for 
  positive 
  values 
  of 
  r 
  

  

  -t\p-12<^ 
  } 
  \ 
  * 
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   lz 
  — 
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  x 
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  + 
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  fr 
  v 
  

  

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  + 
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  cos 
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  ) 
  

  

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  ^cos2x(/ 
  g 
  4-l-^[j])7r-2cos 
  ^ 
  - 
  

  

  t-2 
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  . 
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  — 
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  t 
  

  

  lit 
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  1 
  ^ 
  f 
  

  

  1 
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  /* 
  cos 
  ^— 
  - 
  J 
  

  

  £, 
  2(-i)- 
  ('-/J 
  % 
  7^—- 
  ■ 
  ■ 
  <" 
  

  

  in 
  — 
  . 
  

  

  wherein 
  - 
  is 
  the 
  greatest 
  integer 
  h 
  

   By 
  means 
  of 
  

  

  ¥ 
  « 
  1 
  2 
  cos 
  f(2X 
  + 
  1) 
  ^1 
  - 
  2* 
  cos 
  (2X 
  + 
  1) 
  ^+i 
  

   x$ 
  lr 
  r» 
  L 
  ^_-J 
  £ 
  

  

  *+? 
  = 
  TL 
  ,3; 
  ^-2*cos[(2X+l)|] 
  + 
  l 
  

  

  * 
  + 
  l 
  J 
  

  

  + 
  * 
  

  

  we 
  obtain 
  from 
  (4) 
  for 
  negative 
  values 
  of 
  r 
  an 
  expression 
  

   for 
  S 
  similar 
  to 
  (7). 
  

  

  