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Plane Stress

2020
This chapter deals with the static and dynamic analysis of 2D solids, particularly in plane stress. Plane stress analysis refers to problems where the thickness is quite small when compared to other dimensions in the reference plane x–y. The loads and boundary conditions are applied at the reference or middle plane of the structure.
Ferreira A. J. M., Fantuzzi N.
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Seminversive Planes

1988
An H-inversive plane, where H is a set of positive integers, is a pair (Ω,C), where Ω is a set of points and C a family of subsets of Ω called circles such that (i) any three distinct points lie on a unique circle; (ii) given a circle B, a point x∈B and a point y∉B, the number of circles through x and y meeting B just at the point x belongs to H; (iii)
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Planes and Planing

1962
The tool most necessary to reduce a piece of stock to size and make it smooth and square is the plane.
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Planes and half-planes

1960
In this chapter we consider the action of forces applied to isotropic material which occupies the whole plane or a half-plane. In the latter case the forces can be applied by a body in contact with the half-plane, as in the case of buildings on elastic foundations and similar situations.
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Moulton Planes

Canadian Journal of Mathematics, 1961
In 1902, F. R. Moulton (12) gave an early example of a non-Desarguesian plane. Its ‘points” are ordered pairs (x, y) of real numbers. Its “lines” coincide with lines of the real affine plane except that lines of negative slope are “bent” on the x-axis, line {y = b + mx}, for negative m, being replaced by {y = b + mx if y ≤ 0, y = [m/2].
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Jordanian plane

Journal of Mathematical Sciences, 2008
An associative algebra \(A\) over a field \(k\) is a Jordanian plane if it is generated by two elements \(x,y\) with one defining relation \(yx-xy=y^2\). A Jordanian plane \(A\) is left and right Noetherian. Hence it has a division ring of fractions \(D\).
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Plane Kinematics

The Mathematical Gazette, 1952
Historical . That the problems of plane kinematics should have been studied for a long period is natural; they present themselves quite easily, and in simple fashion. At the end of the seventeenth century, and the beginning of the eighteenth century, De La Hire investigated roulettes, and to him also is due the ...
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