<html><body><div><p>Dear friends,</p><p>problem [below] is solved, but I need a more efficient and faster code: this is a Monte-Carlo simulation of n random points in a 3d spherical volume of radius r. A typical case is n=20,000 and r=23 mm. And from this, I need the resulting probability distribution of nearest neighbours. </p><p>First attempt with doubly nested for-loops took 6 hours execution time. Version below with more vecctor operations is down to 6 minutes, but suggestions for further improvements would be welcome. </p><p>Greetings</p><p>Heinz</p><p> </p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">n</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">=</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">20000</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;<br></span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">r</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">=</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">23</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;</span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">radius</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span> <span style="color: black;" data-mce-style="color: black;">r</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">*</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">grand</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">n,</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">1</span><span style="color: black;" data-mce-style="color: black;">,</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">'def'</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">.^</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">1</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">/</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">3</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">phi</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span> <span style="color: rosybrown;" data-mce-style="color: rosybrown;">2</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">*</span><span style="color: orchid;" data-mce-style="color: orchid;">%pi</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">*</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">grand</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">n,</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">1</span><span style="color: black;" data-mce-style="color: black;">,</span> <span style="color: rosybrown;" data-mce-style="color: rosybrown;">'def'</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">costheta</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span> <span style="color: rosybrown;" data-mce-style="color: rosybrown;">1</span> <span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">-</span> <span style="color: rosybrown;" data-mce-style="color: rosybrown;">2</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">*</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">grand</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">n,</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">1</span><span style="color: black;" data-mce-style="color: black;">,</span> <span style="color: rosybrown;" data-mce-style="color: rosybrown;">'def'</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">radsintheta</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span> <span style="color: black;" data-mce-style="color: black;">radius</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">.*</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">sin</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">acos</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">costheta</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">))</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">X</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span> <span style="color: #4a55db;" data-mce-style="color: #4a55db;">[</span><span style="color: black;" data-mce-style="color: black;">radsintheta</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">.*</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">cos</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">phi</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: black;" data-mce-style="color: black;">,radsintheta</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">.*</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">sin</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">phi</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: black;" data-mce-style="color: black;">,</span> <span style="color: black;" data-mce-style="color: black;">radius</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">.*</span><span style="color: black;" data-mce-style="color: black;">costheta</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">]</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">ONE</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">=</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">(</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #32b9b9;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #32b9b9;">ones</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">(</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">1</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;">:</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">n</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">-</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">1</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">))</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">'</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;</span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">MinDist</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">=</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">[]</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;</span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: #a020f0;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #a020f0;">for</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: black;" data-mce-style="color: black;">i</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">1</span><span style="color: #ffaa00;" data-mce-style="color: #ffaa00;">:</span><span style="color: black;" data-mce-style="color: black;">n;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: black;" data-mce-style="color: black;">this</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span><span style="color: black;" data-mce-style="color: black;">X</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">i,</span><span style="color: #ffaa00;" data-mce-style="color: #ffaa00;">:</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: black;" data-mce-style="color: black;">;XX</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span><span style="color: black;" data-mce-style="color: black;">X;XX</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">i,</span><span style="color: #ffaa00;" data-mce-style="color: #ffaa00;">:</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">[]</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: black;" data-mce-style="color: black;">DIFF</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span><span style="color: black;" data-mce-style="color: black;">XX</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">-</span><span style="color: black;" data-mce-style="color: black;">ONE</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">*</span><span style="color: black;" data-mce-style="color: black;">this;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: black;" data-mce-style="color: black;">MinDist</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">=</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">[</span><span style="color: black;" data-mce-style="color: black;">MinDist</span> <span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">sqrt</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">min</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: #32b9b9;" data-mce-style="color: #32b9b9;">sum</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">DIFF</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">.^</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">2</span><span style="color: black;" data-mce-style="color: black;">,</span><span style="color: rosybrown;" data-mce-style="color: rosybrown;">2</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">)))]</span><span style="color: black;" data-mce-style="color: black;">;</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: #a020f0;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #a020f0;">end</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;</span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">jj</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">=-</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">0.05</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;">:</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">0.1</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;">:</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">3.05</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;nj</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">=</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #32b9b9;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #32b9b9;">length</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">(</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">jj</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">)</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">;</span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">[</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">0.05</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">+</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">jj</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">(</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">1</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #ffaa00;">:</span><span style="font-size: 9.0pt; font-family: Monospaced; color: black;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: black;">nj</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">-</span><span style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: rosybrown;">1</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #4a55db;">)</span><span style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;" data-mce-style="font-size: 9.0pt; font-family: Monospaced; color: #5c5c5c;">'</span><span style="font-size: 9.0pt; font-family: Monospaced;" data-mce-style="font-size: 9.0pt; font-family: Monospaced;"> <span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">histc</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">(</span><span style="color: black;" data-mce-style="color: black;">jj,MinDist</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">))</span><span style="color: #5c5c5c;" data-mce-style="color: #5c5c5c;">'</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">]</span></span></p><p style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;" data-mce-style="tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><pre style="font-family: Monospaced; font-style: normal; font-size: 12.0;" data-mce-style="font-family: Monospaced; font-style: normal; font-size: 12.0;"><span style="color: #000000;" data-mce-style="color: #000000;">RESULTING</span> <span style="color: #000000;" data-mce-style="color: #000000;">OUTPUT</span>
<span style="color: #000000;" data-mce-style="color: #000000;">DIST.</span> <span style="color: #000000;" data-mce-style="color: #000000;">PROBABILITY</span>
<span style="color: #4a55db;" data-mce-style="color: #4a55db;">[</span><span style="color: #000000;" data-mce-style="color: #000000;">mm</span><span style="color: #4a55db;" data-mce-style="color: #4a55db;">]</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0003</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.1</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0044</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.2</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0202</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.3</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0417</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.4</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.06735</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.5</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0984</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.6</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.12555</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.7</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.13335</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.8</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.1357</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.9</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.1155</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.09735</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.1</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0684</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.2</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0438</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.3</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.02495</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.4</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.01385</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.5</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.00535</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.6</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0023</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.7</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.00095</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.8</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.0005</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">1.9</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.00005</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">2.</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.00005</span>
<span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">2.1</span> <span style="color: #bc8f8f;" data-mce-style="color: #bc8f8f;">0.</span>
<span style="color: #ffaa00;" data-mce-style="color: #ffaa00;">...</span> <span style="color: #ffaa00;" data-mce-style="color: #ffaa00;">....</span></pre></p></div></body></html>