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Splines<a href="https://pixelfed.social/discover/tags/3StrandBraids?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#3StrandBraids</a> <a href="https://pixelfed.social/discover/tags/Braids?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#Braids</a> are the last of the <a href="https://pixelfed.social/discover/tags/decorative?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#decorative</a> elements on the <a href="https://pixelfed.social/discover/tags/IonicScroll?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#IonicScroll</a>, but like <a href="https://pixelfed.social/discover/tags/EggsAndDarts?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#EggsAndDarts</a>, they are not specific to the <a href="https://pixelfed.social/discover/tags/IonicOrder?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#IonicOrder</a>. Braids are a popular design motif that find wide currency in modern <a href="https://pixelfed.social/discover/tags/hairstyles?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#hairstyles</a>, <a href="https://pixelfed.social/discover/tags/fashion?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#fashion</a>, and fashion accessories like <a href="https://pixelfed.social/discover/tags/belts?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#belts</a> and <a href="https://pixelfed.social/discover/tags/bracelets?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#bracelets</a>. Braids come in infinite varieties with varying number of strands, thickness of strands, roundness or flatness of strands, and how tightly or loosely they are wound together. Here, I focus on the 3-strand variant mentioned in <a href="https://pixelfed.social/discover/tags/Vignola?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#Vignola</a>'s book and previewed in <a href="https://pixelfed.social/p/Splines/792015485979791089" rel="nofollow noopener noreferrer" target="_blank">https://pixelfed.social/p/Splines/792015485979791089</a>. The image here is brightly colored to draw attention to the 3 strands. The geometry of braid strands is not at all obvious despite how familiar they look. Also, a braid strand is the only feature in the entire iconic order whose geometry cannot be captured with straight lines and circular arcs. Instead, a strand geometry must be defined in a series of steps starting with a basic <a href="https://pixelfed.social/discover/tags/sinusoidal?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#sinusoidal</a> curve. A sinusoidal curve or <a href="https://pixelfed.social/discover/tags/sinusoid?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#sinusoid</a> is a wave form whose function belongs to a family of functions known as <a href="https://pixelfed.social/discover/tags/transcendentalFunctions?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#transcendentalFunctions</a> that also include <a href="https://pixelfed.social/discover/tags/logarithmic?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#logarithmic</a> and <a href="https://pixelfed.social/discover/tags/exponential?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#exponential</a> functions. I mentioned <a href="https://pixelfed.social/discover/tags/logarithmicSpirals?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#logarithmicSpirals</a> in <a href="https://pixelfed.social/p/Splines/792499765146596723" rel="nofollow noopener noreferrer" target="_blank">https://pixelfed.social/p/Splines/792499765146596723</a>, and in a future post I will show how to construct one and compare it with the spirals used in our implementation of <a href="https://pixelfed.social/discover/tags/IonicVolute?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#IonicVolute</a>. They are called transcendental functions because they transcend the math of finite algebraic polynomials and go beyond geometry into trigonometry. Fortunately, we don't have to go there. Few <a href="https://pixelfed.social/discover/tags/CAD?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#CAD</a> tools have a direct primitive for a sinusoid, but almost all have a primitive for a 3-dimensional round coil shape called a <a href="https://pixelfed.social/discover/tags/helix?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#helix</a> which we can use to create the sinusoids we need for a braid strand. To create s sinusoid, all we need to do is <a href="https://pixelfed.social/discover/tags/project?src=hash" class="u-url hashtag" rel="nofollow noopener noreferrer" target="_blank">#project</a> a helix on a flat surface to convert it into a 2D waveform.

💧🌏 Greg CocksHere’s How Earthquakes Are Measured -- <a href="https://www.nytimes.com/2024/12/05/us/earthquakes-measured-magnitude-richter-scale.html" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.nytimes.com/2024/12/05/us/earthquakes-measured-magnitude-richter-scale.html</a> <-- shared media article -- <a href="https://www.usgs.gov/programs/earthquake-hazards/earthquake-magnitude-energy-release-and-shaking-intensity" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.usgs.gov/programs/earthquake-hazards/earthquake-magnitude-energy-release-and-shaking-intensity</a> <-- shared technical article -- [I have experienced a number of earthquakes, including the 2001 Nisqually earthquake when I lived in Western Washington State.] <a href="https://techhub.social/tags/GIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GIS</a> <a href="https://techhub.social/tags/spatial" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#spatial</a> <a href="https://techhub.social/tags/mapping" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mapping</a> <a href="https://techhub.social/tags/earthquakes" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#earthquakes</a> <a href="https://techhub.social/tags/seismology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#seismology</a> <a href="https://techhub.social/tags/magnitude" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#magnitude</a> <a href="https://techhub.social/tags/momentmagnitude" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#momentmagnitude</a> <a href="https://techhub.social/tags/energy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#energy</a> <a href="https://techhub.social/tags/geology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geology</a> <a href="https://techhub.social/tags/engineeringgeology" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#engineeringgeology</a> <a href="https://techhub.social/tags/risk" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#risk</a> <a href="https://techhub.social/tags/hazard" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#hazard</a> <a href="https://techhub.social/tags/scale" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#scale</a> <a href="https://techhub.social/tags/fault" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fault</a> <a href="https://techhub.social/tags/faulting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#faulting</a> <a href="https://techhub.social/tags/Richter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Richter</a> <a href="https://techhub.social/tags/logarithmic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#logarithmic</a> <a href="https://techhub.social/tags/rupture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#rupture</a> <a href="https://techhub.social/tags/engineering" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#engineering</a> <a href="https://techhub.social/tags/buildingstandards" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#buildingstandards</a> <a href="https://techhub.social/tags/seismic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#seismic</a> <a href="https://techhub.social/tags/seismometers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#seismometers</a> <a href="https://techhub.social/tags/shaking" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#shaking</a> <a href="https://techhub.social/tags/quake" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#quake</a> <a href="https://techhub.social/tags/spatialanalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#spatialanalysis</a> <a href="https://techhub.social/tags/spatiotemporal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#spatiotemporal</a> <a href="https://techhub.social/tags/infrastructure" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#infrastructure</a>

Blake Richards9/10) Our model selection <a href="https://fediscience.org/tags/algorithm" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#algorithm</a> is as follows: Use α to filter out bad models and perform readout eval on a downstream task only on “good” models. Our proposal decreases the <a href="https://fediscience.org/tags/readout" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#readout</a> evals from <a href="https://fediscience.org/tags/linear" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#linear</a> to <a href="https://fediscience.org/tags/logarithmic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#logarithmic</a> growth in <a href="https://fediscience.org/tags/configs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#configs</a> in a fixed <a href="https://fediscience.org/tags/compute" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#compute</a> budget setting. 🎉🥳<a href="https://fediscience.org/tags/AI" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AI</a> <a href="https://fediscience.org/tags/ML" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ML</a> <a href="https://fediscience.org/tags/deeplearning" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#deeplearning</a> <a href="https://fediscience.org/tags/neuroscience" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#neuroscience</a>

ObsPy Dev Team :python:<a href="https://mastodon.social/@DrWendyRocks" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@DrWendyRocks</a> <a href="https://fosstodon.org/tags/logarithmic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#logarithmic</a> scale for $500, please

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