Sentence examples for special notation for from inspiring English sources

We often have occasion to refer to finite initial segments of a data stream, and introduce some special notation for this purpose: Let ε|n denote the first n evidence items in the data stream ε.

The first 'elaborate' representation used a special type for aromatic bonds, the second also added a special type for any aromatic atom, and the third representation used a special notation for planar, not necessarily aromatic, structures.

To refer to the partitions of an MDP, we use a special notation: for each action a∈A, we have a partition (mathcal {P}_{R}^{a}) with respect to the reward function; and for each pair of action a∈A and state variable X i ∈X that can be changed by a, we have a partition (mathcal {P}_{X_{i}}^{a}) with respect to the factored probabilistic transition function.

To avoid confusion, let us introduce a special notation for various versions of the robust correlation coefficient rLWS based on different choices of weights.

Author response: In some cases (for binary vectors), transformed and untransformed vectors are the same, so, for the sake of simplicity, we did not introduce the special notation for transformed vectors (except in the very end of the method section, where we demonstrate how to choose the number of categories).

For combining logical variables in the logical functions we use a special notation of Boolean operators known as 'sum of products'.

There is a special notation reserved for the increment and decrement operations that uses the operators.

Castling is indicated by the special notations 0-0 for kingside castling and 0-0-0 for queenside castling.

For this special notation, the sum or product of j running from 0 to S has S members, because the term with j = n is omitted.

In order to state it easily he introduces some special notation: if \(\alpha\) is a type symbol, for example \(((\iota_{3}\,\omicron_{2})(\omicron_{5}\,\iothen4}))\), then \alpha_{_{1}\) is the result of increasing each subscript by 1, in our example we get \(((\iota_{4}\,\omicron_{3})(\omicron_{6}\,\iota_{5}))\).

If the two events took place in the same year, no special notation is used.