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An introduction to surface treatment of metal tools by ion implantation. This technique modifies the tool surface, improving the wear, corrosion resistance and frictional properties. The SPRINT project...
The PVT (pressure, volume, temperature) surface of any substance provides a wealth of information on its properties in the solid, liquid and gas phases. Illustrates the power and importance of the PVT...
When surfaces are classified algebraically, in terms of edge equations it is clear that there are infinite numbers of surfaces. But what do they all look like geometrically? Shows that all of them, except...
Why is it ridiculous to draw a map of the earth on a torus (the surface of a solid ring)? The earth is not a perfect sphere, yet a map drawn on a perfect sphere is acceptable. Shows that there are an...
Looks at where the peaks and troughs are to be found on a surface corresponding to a function of two variables. Explores the function f(x,y)=xy(1-x2-y2). The general shape of the surface can be observed, the...
Equations of the standard form ax2 + by2 + cz2 = constant represent central quadric surfaces. The family of such surfaces is considered, particularly ellipsoids and single and double sheet hyperboloids....
Professor Lefschetz describes how his ‘magic number’ is applied to determine whether a surface has the fixed-point property i.e. that a continuous transformation must leave at least one point of the...
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