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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>

Paul KinslerIt is well known that the "spherical cow" is an overly aggressive approximation. Hence:<a href="https://arxiv.org/abs/2504.00506" rel="nofollow noopener" translate="no" target="_blank">https://arxiv.org/abs/2504.00506</a><a href="https://fediscience.org/tags/spherical" class="mention hashtag" rel="nofollow noopener" target="_blank">#spherical</a> <a href="https://fediscience.org/tags/cow" class="mention hashtag" rel="nofollow noopener" target="_blank">#cow</a> <a href="https://fediscience.org/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a>

JMLR'Zeroth-order Stochastic Approximation Algorithms for DR-submodular Optimization', by Yuefang Lian, Xiao Wang, Dachuan Xu, Zhongrui Zhao.<a href="http://jmlr.org/papers/v25/23-1523.html" rel="nofollow noopener" translate="no" target="_blank">http://jmlr.org/papers/v25/23-1523.html</a> <a href="https://sigmoid.social/tags/approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#approximation</a> <a href="https://sigmoid.social/tags/optimization" class="mention hashtag" rel="nofollow noopener" target="_blank">#optimization</a> <a href="https://sigmoid.social/tags/algorithms" class="mention hashtag" rel="nofollow noopener" target="_blank">#algorithms</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>

Pustam | पुस्तम | পুস্তম🇳🇵Physics heresy: Projectiles don’t actually make parabolasTaught in every introductory physics class for centuries, the parabola is only an imperfect approximation of the true path of a projectile. <a href="https://mathstodon.xyz/tags/Projectile" class="mention hashtag" rel="nofollow noopener" target="_blank">#Projectile</a> <a href="https://mathstodon.xyz/tags/Projectiles" class="mention hashtag" rel="nofollow noopener" target="_blank">#Projectiles</a> <a href="https://mathstodon.xyz/tags/ProjectileMotion" class="mention hashtag" rel="nofollow noopener" target="_blank">#ProjectileMotion</a> <a href="https://mathstodon.xyz/tags/Parabola" class="mention hashtag" rel="nofollow noopener" target="_blank">#Parabola</a> <a href="https://mathstodon.xyz/tags/Approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Approximation</a> <a href="https://mathstodon.xyz/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Physics</a> <a href="https://mathstodon.xyz/tags/Heresy" class="mention hashtag" rel="nofollow noopener" target="_blank">#Heresy</a> <a href="https://mathstodon.xyz/tags/Parabolas" class="mention hashtag" rel="nofollow noopener" target="_blank">#Parabolas</a><a href="https://bigthink.com/starts-with-a-bang/projectiles-dont-make-parabolas/" rel="nofollow noopener" translate="no" target="_blank">https://bigthink.com/starts-with-a-bang/projectiles-dont-make-parabolas/</a>

Pustam | पुस्तम | পুস্তম🇳🇵The following formula yields the correct decimal digits of π up to 42 quadrillion digits. Also, see the general form. This high-precision approximation is related to the properties of theta functions or the Gaussian integral.<a href="https://mathstodon.xyz/tags/pi" class="mention hashtag" rel="nofollow noopener" target="_blank">#pi</a> <a href="https://mathstodon.xyz/tags/digits" class="mention hashtag" rel="nofollow noopener" target="_blank">#digits</a> <a href="https://mathstodon.xyz/tags/quadrillion" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadrillion</a> <a href="https://mathstodon.xyz/tags/quadrilliondigits" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadrilliondigits</a> <a href="https://mathstodon.xyz/tags/GaussianIntegral" class="mention hashtag" rel="nofollow noopener" target="_blank">#GaussianIntegral</a> <a href="https://mathstodon.xyz/tags/ThetaFunction" class="mention hashtag" rel="nofollow noopener" target="_blank">#ThetaFunction</a> <a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mathstodon.xyz/tags/Formula" class="mention hashtag" rel="nofollow noopener" target="_blank">#Formula</a> <a href="https://mathstodon.xyz/tags/Approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Approximation</a>

C.Cazabon's <a href="https://mindly.social/tags/Film" class="mention hashtag" rel="nofollow noopener" target="_blank">#Film</a> <a href="https://mindly.social/tags/Quality" class="mention hashtag" rel="nofollow noopener" target="_blank">#Quality</a> <a href="https://mindly.social/tags/Approximation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Approximation</a>:The overall quality and <a href="https://mindly.social/tags/watchability" class="mention hashtag" rel="nofollow noopener" target="_blank">#watchability</a> of a film can be approximated with the following <a href="https://mindly.social/tags/equation" class="mention hashtag" rel="nofollow noopener" target="_blank">#equation</a>:Q = 1 / ((n - 2) ^ 2)... where Q is `watchability` in the interval [0, 1], and `n` is the number of genres the movie is categorized as having in its IMDB listing.Action, Comedy: 1.0 Drama, Thriller, Music: 1.0 Action, Comedy, Drama, Horror, Thriller: 0.111Note: there's a discontinuity at n == 2, which we avoid by using the value `1` in that case.1/2

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>

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