Slide Rule Notes

Rule-based cleanup of on-line English ink notes

Recently, many pen-based devices have enabled people to input digital ink naturally. Often, there is smear and correction when writing. This not only makes the document dirty and look unpleasant, but also affects the handwriting recognition when recognition is called for. As the first paper to address the ink cleanup problem, we present our ink cleanup system that removes the smear and correcti...

Notes on the convergence of trapezoidal - rule quadrature

Numerical quadrature is another name for numerical integration, which refers to the approximation of an integral ́ f (x)dx of some function f (x) by a discrete summation ∑wi f (xi) over points xi with some weights wi. There are many methods of numerical quadrature corresponding to different choices of points xi and weights wi, from Euler integration to sophisticated methods such as Gaussian quad...

The Healthy Food Slide Rule (HFSR): a nutrition education tool for children.

Slide-rule-like property of Wigner's little groups and cyclic S matrices for multilayer optics.

It is noted that 2x2 "S" matrices in multilayer optics can be represented by the Sp(2) group whose algebraic property is the same as the group of Lorentz transformations applicable to two spacelike and one timelike dimensions. It is also noted that Wigner's little groups have a slide-rule-like property that allows us to perform multiplications by additions. It is shown that these two mathematic...

A slide rule for time conversion for bromsulphalein (BSP) retention studies.

THE Bromsulphaleimm (BSP) test of Rosenthal ammd White (1) has undergone several modifications (2) imi the 40 years following its introduction. Like most drugs, BSP is removed from blood plasma at a rate which is proportional to its concentratiomi, that is, a first-order reactiomi (3). As would be expected for a first-order reaction, a graph of In (BSP) or log (BSP) vs. time results iii a strai...