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Extra info for Activaton and Application of Stereotypic Beliefs
Therefore he establishes 1. an ideal language as a unifying set for all texts, taking a prose text as an approximation; 2. an ideal reader who meets the following requirements: possesses a wide knowledge of the statistical rules ofthe language and ofthe grammatical constraints upon word-sequence probabilities. These requirements are violated once the reader has any knowledge whatsoever about the content of the text. This concept is useless for the treatment of educational problems. Here the problem is the exact opposite, namely, the information of texts of different degrees of difficulty addressed to certain groups differing in age, command oflariguage and previous knowledge.
9. The derivative dh =ld 1-p (2-21) dp P ofthis function is positive and monotonic decreasing (see Fig. 5. (2-22) 41 Digitizing Prediction by Means of Branching Diagrams 5 P Fig. 10 Lower Limit. We now consider a variation in the distribution of the Pk'S represented by the stepped curve, observing the boundary condition of constant area below the curve. The variation shall be such that it intersects the stepped curve at point Q, and lies below the original curve on the left and above it on the right (see Fig.
We know that with optimal coding the code word length is proportional to the information; therefore redundancy is also a measure of the extent to which a message can be shortened by using an optimal code. Taking Concepts of Information Theory 21 the frequency distribution into account, the value for redundancy is given by (1-25) where H 0 is the maximum information of the field and H 1 is the information when the frequency distribution is taken into account. The redundancy value always refers to two states, which have to be defined.