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erAckPi Approximation Day (22/7) actually is on 21.9911485751286 / 7 = 07-21T23:47:15.237...<a href="https://social.tchncs.de/tags/Pi" class="mention hashtag" rel="nofollow noopener" target="_blank">#Pi</a> <a href="https://social.tchncs.de/tags/Approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Approximation</a> <a href="https://social.tchncs.de/tags/Day" class="mention hashtag" rel="nofollow noopener" target="_blank">#Day</a> <a href="https://social.tchncs.de/tags/PiApproximationDay" class="mention hashtag" rel="nofollow noopener" target="_blank">#PiApproximationDay</a>

WordofTheHour<a href="https://mastodon.social/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> : a drawing, advancing or being near- French: approximation- German: die Annäherung- Italian: ravvicinamento- Portuguese: aproximação- Spanish: aproximación------------Word of The Hour's Annual Survey @ <a href="https://wordofthehour.org/r/form" rel="nofollow noopener" translate="no" target="_blank">https://wordofthehour.org/r/form</a>

IT NewsMisleading GPS, Philosophy of Maps, And You - The oft-quoted saying “all models are wrong, but some are useful” is a tounge-in-c... - <a href="https://hackaday.com/2024/09/10/misleading-gps-philosophy-of-maps-and-you/" rel="nofollow noopener" translate="no" target="_blank">https://hackaday.com/2024/09/10/misleading-gps-philosophy-of-maps-and-you/</a> <a href="https://schleuss.online/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> <a href="https://schleuss.online/tags/precision" class="mention hashtag" rel="nofollow noopener" target="_blank">#precision</a> <a href="https://schleuss.online/tags/gpshacks" class="mention hashtag" rel="nofollow noopener" target="_blank">#gpshacks</a> <a href="https://schleuss.online/tags/accuracy" class="mention hashtag" rel="nofollow noopener" target="_blank">#accuracy</a> <a href="https://schleuss.online/tags/mapping" class="mention hashtag" rel="nofollow noopener" target="_blank">#mapping</a> <a href="https://schleuss.online/tags/garmin" class="mention hashtag" rel="nofollow noopener" target="_blank">#garmin</a> <a href="https://schleuss.online/tags/strava" class="mention hashtag" rel="nofollow noopener" target="_blank">#strava</a> <a href="https://schleuss.online/tags/model" class="mention hashtag" rel="nofollow noopener" target="_blank">#model</a> <a href="https://schleuss.online/tags/gps" class="mention hashtag" rel="nofollow noopener" target="_blank">#gps</a> <a href="https://schleuss.online/tags/map" class="mention hashtag" rel="nofollow noopener" target="_blank">#map</a>

Stewart RussellI've found a decent working approximation of π for <a href="https://xoxo.zone/tags/PostScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#PostScript</a> /pi 0.001 sin 2 div 360000 mul defAccurate to 7 decimal places. The language uses single-precision floating point, and all its trig routines work in degrees.This calculates π using the area of a unit radius n-gon, with n=360000 A = ½n⋅sin(360°÷n)One of Ramanujan's approximations π ≅ 9801÷(2206⋅√2)is about as accurate but opaque.<a href="https://xoxo.zone/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://xoxo.zone/tags/pi" class="mention hashtag" rel="nofollow noopener" target="_blank">#pi</a> <a href="https://xoxo.zone/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> <a href="https://xoxo.zone/tags/FloatingPoint" class="mention hashtag" rel="nofollow noopener" target="_blank">#FloatingPoint</a>

Thomas Arend<a href="https://nrw.social/tags/CO2" class="mention hashtag" rel="nofollow noopener" target="_blank">#CO2</a> <a href="https://nrw.social/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> <a href="https://nrw.social/tags/climate" class="mention hashtag" rel="nofollow noopener" target="_blank">#climate</a> <a href="https://nrw.social/tags/ClimateChange" class="mention hashtag" rel="nofollow noopener" target="_blank">#ClimateChange</a> <a href="https://nrw.social/tags/klima" class="mention hashtag" rel="nofollow noopener" target="_blank">#klima</a> <a href="https://nrw.social/tags/klimakrise" class="mention hashtag" rel="nofollow noopener" target="_blank">#klimakrise</a> <a href="https://nrw.social/tags/Klimawandel" class="mention hashtag" rel="nofollow noopener" target="_blank">#Klimawandel</a> Ich habe nochmal versucht, die <a href="https://nrw.social/tags/KeelingKurve" class="mention hashtag" rel="nofollow noopener" target="_blank">#KeelingKurve</a> zu approximieren. Ist mir gelungen.Erschreckend, wie gut die Approximation ist und wie stabil die CO₂-Konzentration ansteigt.Anfang 2000 hätte der Wert für April 2023 auf 2,83 ppm genau vorhergesagt können – und wäre unterschätzt worden.BTW: Neben der jährlichen Oszillation gibt es seltsamerweise eine schwächere, halbjährliche Oszillation.<a href="https://byggvir.de/2023/05/16/approximating-monthly-data-of-the-keeling-curve-of-atmospheric-co2-concentration-using-exponential-and-sinusoidal-functions/" rel="nofollow noopener" target="_blank">https://byggvir.de/2023/05/16/approximating-monthly-data-of-the-keeling-curve-of-atmospheric-co2-concentration-using-exponential-and-sinusoidal-functions/</a>

Khurram Wadee ✅Finally the most sophisticated of the three is Simpson’s rule in which pairs of adjacent strips use a <a href="https://mastodon.org.uk/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> <a href="https://mastodon.org.uk/tags/parabola" class="mention hashtag" rel="nofollow noopener" target="_blank">#parabola</a> to interpolate between the ordinates. This even better at convergence than the trapezium rule. I’ve shown a different function here because for the function shown above the difference between the approximation and the numerical <a href="https://mastodon.org.uk/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> is not discernible.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mastodon.org.uk/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mastodon.org.uk/tags/Numerics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Numerics</a> <a href="https://mastodon.org.uk/tags/SimpsonsRule" class="mention hashtag" rel="nofollow noopener" target="_blank">#SimpsonsRule</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/Wikipedia" class="mention hashtag" rel="nofollow noopener" target="_blank">#Wikipedia</a> <a href="https://mastodon.org.uk/tags/Wikimedia" class="mention hashtag" rel="nofollow noopener" target="_blank">#Wikimedia</a>

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