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Copy file name to clipboardExpand all lines: src/algorithms.tex
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\end{note}
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\pnum
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In the following, $X_i$ and $X_j$ refer to evaluations of the {\emsame} expression
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In the following, $X_i$ and $X_j$ refer to evaluations of the \emph{same} expression
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or statement contained in the application of an element access function
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corresponding to the i\textsuperscript{th} and j\textsuperscript{th} elements of the input sequence.
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\begin{note}There might be several evaluations $X_k$, $Y_k$, etc. of a single
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\item there exist horizontally matched evaluations A\textsubscript{i} and A\textsubscript{j} that are vertical antecedents of evaluations B\textsubscript{i} and B\textsubscript{j}, respectively.
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\end{itemize}
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\begin{note}\term{Horizontally matched} establishes a theoretical {\emlock-step} relationship between evaluations in different applications of an element access function.\end{note}
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\begin{note}\term{Horizontally matched} establishes a theoretical \emph{lock-step} relationship between evaluations in different applications of an element access function.\end{note}
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\pnum
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Let $f$ be a function called for each argument list in a sequence of argument lists. \defn{Wavefront application} of $f$ requires that evaluation A\textsubscript{i} be sequenced before evaluation B\textsubscript{j} if i < j and:
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\end{itemize}
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\begin{note}
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\term{Wavefront application} guarantees that parallel applications i and j execute such that progress on application j never gets {\emahead} of application i.
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\term{Wavefront application} guarantees that parallel applications i and j execute such that progress on application j never gets \emph{ahead} of application i.
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\end{note}
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\begin{note}
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The relationships between A\textsubscript{i} and B\textsubscript{i} and between A\textsubscript{j} and B\textsubscript{j} are \term{sequenced before}, not \term{vertical antecedent}.
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