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On Color Verification trials, 3000 ms after the initial appearance of the algebraic expression, two adjacent variables changed color from black to blue or red (Fig. 1c).
On Color Verification trials (top right), two adjacent variables were changed to either red or blue; participants decided whether the colors were the same or different.
On each trial, two adjacent variables changed color, from black to either blue or red, and participants had to determine whether these variables had the same color or different color.
For instance, given the expression 'a b + x y,' the rules of algebra license swapping the two algebraic sub-expressions, 'x y' and 'a b,' to get the new expression 'x y + a b.' By contrast, one cannot swap the two adjacent variables 'b' and 'x' to get 'a x + b y.' This manipulation violates the precedence rules for arithmetic operations.
Often, only a variable can represent the information distributed in its adjacent variables.
It can compute the maximum a posteriori (MAP) values for variable parameters in a factor graph, given joint probability distributions that describe the dependencies between adjacent variables.
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Zhang, X. et al. Conserved termini and adjacent variable region of Twortlikevirus Staphylococcus phages.
A message from a factor node to variable nodes is the sum of factor contributions and is illustrated in the middle and left parts of Figure 13. Figure 13 Illustration of the evaluation of the message sent by a factor node to an adjacent variable node and the evaluation of the message sent by a variable node to an adjacent factor node.
If there is no such set, i.e., if A and B are dependent for every possible S AB, then place an undirected edge between A and B. Step 2. For each pair of non-adjacent variables A and B with a common adjacent variable C, search for a possible set SAB containing C such that A and B are independent given SAB.
2. For each pair of non-adjacent variables a and b with a common adjacent variable c in U (i.e., a - c - b), search for a set S ab that contains c such that a is independent of b given S ab.
The DR and the adjacent variable sequence form a direct variant repeat (DVR).
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