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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Unhelpful velocity (magenta) increasing the absolute value of displacement (light blue) over time</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Displacement (vertical axis, light blue) vs velocity (horizontal axis, magenta), with time flowing towards the center</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Generalized displacement vs velocity as a vertically shifted curve (blue) with just a constant offset (golden) from the original hoverslam curve</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Displacement (light blue) vs time, approaching zero</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Generalized displacement parabola (blue) and hoverslam parabola (gray) intersect along a horizontal line (gold) half way between the parabola vertexes</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>State space of displacement (vertical axis, light blue) vs velocity (horizontal axis, magenta) and complete hoverslam curve</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Velocity (magenta) vs time, approaching zero</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Color-coded state space with golden regions closest to the hoverslam approach curves, and magenta and light blue regions that require adjustment on the way to reaching the golden region</image:caption>
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      <image:title>Fall Free Dev Blog - Hoverslams - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <loc>https://www.tripledip.info/fall-free-development/predicting-intersections</loc>
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    <lastmod>2022-04-23</lastmod>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Fall Free pod sensors</image:caption>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/81dd2e4f-9817-4fc1-99cc-a2ff5cb135f2/touch-distance.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/7b1fca93-2904-406c-8876-8ffb3e9c23b3/distance-vs-time.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>touch-distance-squared with no real roots</image:caption>
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    <image:image>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/467144d0-3d1e-4b51-9fe1-708657c291d5/quartic-to-solve.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/063d1155-56f9-42f3-9a11-f0364a79f75b/6-no-real-roots-means-no-intersections.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>orange and light blue circles that never intersect</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/b9ef5044-f0aa-447f-b7ef-dda80ee2f5cd/8-four-real-roots-means-two-separate-intersections.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>orange circle intersecting light blue circle twice, with four magenta touch points</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/da4c3ab2-9f7f-49c8-b55d-f95508b362a2/projectile-motion.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/aa989cec-66e6-4852-b8fe-ff7a5c116bd5/4-touch-distance-squared-roots-give-touch-points.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>orange circle intersecting light blue circle with two magenta touch points</image:caption>
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    <image:image>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>derivative of touch-distance-squared evaluated at touch times (magenta and blue)</image:caption>
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    <image:image>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/6ff038ec-e6cd-4955-9450-baea97e41ff7/1-distance-between-circle-centers.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>magenta distance between orange and light blue circle centers</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/d742841d-535d-43b4-9d93-8a8e0d347e55/projectile-distance.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/3f209f2a-6ff5-4bed-a66c-2304b7a688c2/3-touch-distance-squared-quartic-with-roots.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>touch-distance-squared with two real roots (magenta)</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/5e3b1a2ef16b3b261f37f55e/222d2058-3818-49e3-a156-20ed1b5d43fa/10-derivative-can-annotate-each-touch-point.png</image:loc>
      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>orange circle intersecting light blue circle twice, with two pairs of magenta and blue touch points</image:caption>
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    <image:image>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>touch-distance-squared with four real roots (magenta)</image:caption>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>orange circle moving quadratically in 2D</image:caption>
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      <image:title>Fall Free Dev Blog - Predicting Circle Intersections - Make it stand out</image:title>
      <image:caption>distance D(t) between two circles centers over time</image:caption>
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    <loc>https://www.tripledip.info/contact</loc>
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