Sentence examples for constraint notation from inspiring English sources

In the above, we introduce the constraint notation with the vertical bar notation, where the expression on the left is the clique factorization term with the constraint that it approximates according to the standard HMM conditional probabilities.

The idea of a constraint and the notation used to represent it are presented.

We adopt the same constraint for our notation (x, y) of the instantaneous location of a bubble or helix.

Here, we paraphrase Sankoff's constraints using our notation and terminology.

After simplifying the constraints and using the notation x k =|X r [k]|2, we can rewrite the optimization problem in (12) as: minlimits_{{x_{k}}}~ sumlimits_{k=0}^{K-1} x_{k}, (14a).

Constraint diagrams are a visual notation designed to express logical constraints.

Constraint diagrams are a diagrammatic notation which may be used to express logical constraints.

Indicating with C the Jacobian of the zero injection constraints, and using the previous notation for the weighting matrix and the residuals, they can also be divided as follows: begin{array}{*{20}l} mathbf{H} &= left[ begin{array}{c} mathbf{H}_{m} mathbf{C} end{array} right] end{array} (5).

Figure 5 summarizes the structural constraints mapping using pseudo-code notation.

To enhance the readability of rules with such constraints, we use an extra notation.

We assume a fixed numbering of these constraints and introduce the following notation.