Stereo Episode 14 - The Audible Event Direction - Interpolation of Data Series (Lagrange and GeoGebr
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In this episode, the direction of auditory events is examined in more detail and various data series from Teldec (Sengpiel), Stefan Weinzierl and Gert Simonsen are presented. The focus is on the interpolation of value pairs of a data series according to Lagrange and with Geogebra. LATEX codes b1 to ΔL: Delta L= rac{1}{9375cdot 10^3}b_1^4- rac{1}{93750}b_1^3+ rac{11}{15cdot 10^3}b_1^2+ rac{8}{75}b_1 ΔL to b1: b_1 = 1}Delta L^4- rac{1115}{226044}Delta L^3- rac{369305}{2486484}Delta L^2+ rac{3654565}{414414}Delta L b2 to Δt: Delta t= rac{11}{46875cdot 10^4}b_2^4- rac{9}{3125cdot 10^3}b_2^3+ rac{97}{75cdot 10^4}b_2^2+ rac{37}{5cdot 10^3}b_2 Δt to b2: b_2= rac{8118125cdot 10^4}{3849261669}Delta t^4- 235933375cdot 10^3}{3849261669}Delta t^3+ rac{7313181875}{427695741}Delta t^2+ rac{92167303175}{855391482}Delta t EXCEL codes b1 to ΔL: 1÷9375000×B3^4−1÷93750×B3^3+11÷15000×B3^2+8÷75×B3 ΔL to b1: 215÷1243241×B6^4−1115÷226044×B6^3−369305÷2486484×B6^2+365 4565÷414414×B6 b2 to Δt: 11÷468750000×B9^4−9÷3125000×B9^3+97÷750000×B9^2+37÷5000×B9 Δt to b2: 81181250000÷3849261669×B12^4−235933375000÷3849261669×B12^3+7313181875÷427695741×B12^2+92167303175÷855391482×B12
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