The Staircase Structure of the Southern  Brazilian Continental Shelf

<table>The function <svg height="10.325" id="M221" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.05 10.325" width="12.05" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐹</tspan>
</text>
</g>
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</svg>, which is a linear relation between the frequency
ratios associated with the terraces and their depths for the triple of terraces <svg height="13.45" id="M222" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 122.8 13.45" width="122.8" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑤</tspan>
<tspan style="font-size: 12.50px; " x="13.153156" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.193544" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="29.357044" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="35.608543" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="39.084377" y="0">8</tspan>
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<tspan style="font-size: 12.50px; " x="50.549629" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="56.801128" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="60.276962" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="66.528465" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="72.779961" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="77.981209" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="84.232712" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="87.708542" y="0">9</tspan>
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</svg>
and <svg height="13.6375" id="M223" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 138.425 13.6375" width="138.425" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.6375)">
<g transform="translate(72,-61.09)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑤</tspan>
<tspan style="font-size: 12.50px; " x="13.153156" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.193544" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="29.357044" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="35.608543" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="39.084377" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="45.335876" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="51.587379" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="56.801128" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="63.052628" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="66.528465" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="72.779961" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="79.031464" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="84.232712" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="90.484215" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="93.960045" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="100.21155" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="106.46304" y="0">)</tspan>
</text>
</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

The Staircase Structure of the Southern Brazilian Continental Shelf

Figure 9