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T  ›  twelfth
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1828 Definition

TWELFTH, a. The second after the tenth; the ordinal of twelve.

1913 Definition
Twelfth (twelfth)
a.(?)
Twelfth
[For twelft, OE. twelfte, AS. twelfta. See Twelve.]
  1. Next in order after the eleventh; coming after eleven others; -- the ordinal of twelve.
  2. Consisting, or being one of, twelve equal parts into which anything is divided.
  3. The quotient of a unit divided by twelve; one of twelve equal parts of one whole.
  4. The next in order after the eleventh.
  5. An interval comprising an octave and a fifth.

1828 dictionary
Noah Says...
The brief exposition of the constitution of the United States, will unfold to young persons the principles of republican government; and it is the sincere desire of the writer that our citizens should early understand that the genuine source of correct republican principles is the Bible, particularly the New Testament or the Christian religion.
 History of the United States :: 1832 




Assessing a firm's innovation portfolio is a challenge? Even more difficult is estimating its future value? This paper applies the principles of the Bass model of diffusion of innovation \citep{Bass:1969} to the estimation of forward citations, ``class-match" dampened forward citations, and the newly introduced Patent Rank Scores. The cumulative diffusion will be modeled using a generalized logistic function known as the Richards' curve \citep{Richards:1959}. To estimate the parameters of the the model, the Newton-Raphson method is used. Over 22,000 randomly selected patents from 1976--2008 will be individually modeled, and diffusion patterns will be classified based on the parameters of the model. Valuation of innovation can be objectively assessed, and future valuation can be predicted based on each innovation's specific diffusion pattern.




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