Group-Based Reduction Schemes for Streaming Applications

<table>(a) The graph of the lattice of integers <svg height="14.70125" id="M636" style="vertical-align:-2.26974pt" version="1.1" viewbox="0 0 76.160004 14.70125" width="76.160004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.70125)">
<text transform="matrix(1,0,0,-1,0.498,2.761)">
<tspan style="font-size: 12.50px; " x="0" y="0">{</tspan>
<tspan style="font-size: 12.50px; " x="6.0014977" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="12.253057" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="21.630398" y="0">…</tspan>
<tspan style="font-size: 12.50px; " x="36.209034" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="41.422836" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="47.674397" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="53.925957" y="0">}</tspan>
</text>
</g>
</svg> by divisibility. (b) The of the lattice of the subsets of <svg height="14.70125" id="M637" style="vertical-align:-2.26974pt" version="1.1" viewbox="0 0 50.950001 14.70125" width="50.950001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.70125)">
<text transform="matrix(1,0,0,-1,0.498,2.761)">
<tspan style="font-size: 12.50px; " x="0" y="0">{</tspan>
<tspan style="font-size: 12.50px; " x="6.0014977" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="12.278064" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="17.479362" y="0">𝑏</tspan>
<tspan style="font-size: 12.50px; " x="23.355827" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="28.56963" y="0">𝑐</tspan>
<tspan style="font-size: 12.50px; " x="33.758423" y="0">}</tspan>
</text>
</g>
</svg> ordered by inclusion.</table>

International Scholarly Research Notices

Group-Based Reduction Schemes for Streaming Applications

Figure 4