Affine plane

Affine plane

Affine and Projective Planes

Published in C. C. Lindner, C. A. Rodger, Design Theory, 2017

7.1.3 Let (P,B) $ (P, B) $ be an affine plane. If n ≥ 2, prove that the following statements are equivalent:One line contains n points.One point belongs to exactly n + 1 lines.Every line contains n points.Every point is on exactly n + 1 lines.There are exactly n2 points in P.There are exactly n2 + n lines in B.

Experimental study of an effect of plastic deformation on thermal properties of stainless steel

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Journal Information

Published in Quantitative InfraRed Thermography Journal, 2019

M. Zhelnin, A. Iziumova, A. Vshivkov, O. Plekhov

In the equation (1)α is thermal diffusivity, λ is thermal conductivity, Δ is the Laplace operator, is a segment, is an affine plane. The reference temperature of the sample is assumed to be constant. Therefore, it is not taken into account.

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Affine and Projective Planes

Experimental study of an effect of plastic deformation on thermal properties of stainless steel