The Analyst Volume 2

The Analyst Volume 2

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 edition. Excerpt: ...we give below.--Ed. NOTE, BY ARTEMAS MARTIN.--The denominator of the formula for iraditiomzl testimony given in T odhunter s History qf the Theory of Probability, p. 462, third paragraph, is wrong--a misprint probably. I will quote a portion of the second and third paragraphs: Suppose a witness to speak truth m times and falsehood n timm out of m-1-n times; let m and n have similar meanings for a second witness. Then if they agree in an assertion the probability of its truth is mm m m + n n" Using the same notation as before if one witness reports a statement from the report of another the probability of its truth is (m + m )(" + '"') for the statement is true if they both tell the truth or if they both tell a falsehood/ --The latter formula should be mm + am (m + n)(m + n )' We are compelled, for want of room, to defer publishing the solution of problem 67 until the issue of the July No. Errata. On page 8, line 16, for 3a' which occurs in the numerator of the fraction, read a; and on page 58, line 4, and lines 4 and 6 from bottom, for P in the numerator of the left member of the equation, read Z. Also, on page 59, line 10, multiply the left member of the equation by sin 6. Note. Several correspondents have found fault with Mr. FarroW s solution of 53, but no other solution has been offered. It is evident that the formula used by Mr. Farrow to estimate the effect of the atmospheric resistance, does not apply in wlculating the velocity generated while the ball is passing from the breech to the muzzle of the gun, which is the case to be considered; for during that time the only pressure on...show more

Product details

  • Paperback | 50 pages
  • 189 x 246 x 3mm | 109g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236630505
  • 9781236630506