ese notes were copied from Gene Golub’s CME 302 Matrix Computations class while David was a student at Stanford. WarningWe will adopt slightly non-standard notation. e quantity ∆ is a matrix, as are any symbols prexed with δ, such as δL or δU . Upper tildes, like L̃ will denote quantities represented on the computer. Our goal is to show that Gaussian Elimination is a backwards stable algorithm....

Two merhods for measuring shapes of objects are proposed. One is for convex shape measurement, the other is for cylindrical shape. These methods are based on the sllr-ray projection m e l h d . A thin slit h e m Iigh! emitted from a laser is projected onro the wrface of an ohject. By moving or rotating an object and recording. the images, a three-dimensional i rna~c is constructed, Although con...

The Generales Inquisitiones de Analysi Notionum et Veritatum is Leibniz’s most substantive work in the area of logic. Leibniz’s central aim in this treatise is to develop a symbolic calculus of terms that is capable of underwriting all valid modes of syllogistic and propositional reasoning. The present paper provides a systematic reconstruction of the calculus developed by Leibniz in the Genera...

Thi s paper addresses the subject of linking functional speciications to performance analysi s i n a process al gebrai c context. It presents a timed, probabilistic extension of a process al gebrai c formal i sm and its application to performance analysis. More specii-cally, an extensi on of a subset of LOTOS is presented equipped with a truly concurrent semanti cal model based on bundl e event...

This chapter focuses on the problem of recovering a hyperspectral image descriptor based upon harmonic analysis. It departs from the use of integral transforms to model hyperspectral images in terms of probability distributions. This provides a link between harmonic analysi and affine geometric transformations between object surface planes in the scene. Moreover, the use of harmonic analysis pe...

⁎ Corresponding author. Tel.: +1 662 915 1523. E-mail addresses: [email protected] (S. Kash [email protected] (V. Mahajan). 1 Tel.: +1 512 471 0840. 2 This definition has been used in several recent academ Anderson & Reeb (2003); Anderson,Mansi, and Reeb (200 Ali, Chen, and Radhakrishnan (2007); and Kashmiri a searchers, however, have used a threshold level of famil firm....

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