Linear interpolation in the logarithmic tables

Determination of histamine PC20. Comparison of linear and logarithmic interpolation.

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Real Interpolation with Logarithmic Functors

We present a real interpolation method involving broken-logarithmic functors. We obtain a variety of interpolation theorems for quasilinear operators on quasi-Banach spaces, including limiting cases. We present a number of Holmstedt's formulae corresponding to the broken-logarithmic functors and apply these to obtain reiteration theorems for interpolation and extrapolation spaces. We compare th...

Geometric Hermite interpolation by logarithmic arc splines

This paper considers the problem of G1 curve interpolation using a special type of discrete logarithmic spirals. A ”logarithmic arc spline” is defined as a set of smoothly connected circular arcs. The arcs of a logarithmic arc spline have equal angles and the curvatures of the arcs form a geometric sequence. Given two points together with two unit tangents at the points, interpolation of logari...

Linear Approximation Tables

Subset 0x 1x 2x 3x 4x 5x 6x 7x 8x 9x Ax Bx Cx Dx Ex Fx 0x 32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1x 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2x 0 4 −2 2 −2 2 −4 0 4 0 2 −2 2 −2 0 −4 3x 0 0 −2 6 −2 −2 4 −4 0 0 −2 6 −2 −2 4 −4 4x 0 2 −2 0 0 2 −2 0 0 2 2 4 −4 −2 −2 0 5x 0 2 2 −4 0 10 −6 −4 0 2 −10 0 4 −2 2 4 6x 0 −2 −4 −6 −2 −4 2 0 0 −2 0 −2 −6 −8 2 0 7x 0 2 0 2 −2 8 6 0 −4 6 0 −6 −2 0 −6 −4 8x 0 0 2 6 0 0 −2 −6...

Teaching thermodynamics to engineering students: new approach for interpolation of steam tables