The Aluffi Algebra and Linearity Condition

Efficiency loss and the linearity condition in dimension reduction

Linearity, sometimes jointly with constant variance, is routinely assumed in the context of sufficient dimension reduction. It is well understood that, when these conditions do not hold, blindly using them may lead to inconsistency in estimating the central subspace and the central mean subspace. Surprisingly, we discover that even if these conditions do hold, using them will bring efficiency l...

Synchronization and Linearity: an Algebra for Discrete Event Systems

Linearity Defect and Regularity over a Koszul Algebra

Let A = ⊕ i∈N Ai be a Koszul algebra over a filed K = A0, and *modA the category of finitely generated graded left A-modules. The linearity defect ldA(M) of M ∈ *modA is an invariant defined by Herzog and Iyengar. An exterior algebra E is a Koszul algebra which is the Koszul dual of a polynomial ring. Eisenbud et al. showed that ldE(M) < ∞ for all M ∈ *modE. Improving their result, we show that...

Efficiency Loss Caused by Linearity Condition in Dimension Reduction.

Linearity, sometimes jointly with constant variance, is routinely assumed in the context of sufficient dimension reduction. It is well understood that, when these conditions do not hold, blindly using them may lead to inconsistency in estimating the central subspace and the central mean subspace. Surprisingly, we discover that even if these conditions do hold, using them will bring efficiency l...

Implementing Condition/Event Nets in the Circal Process Algebra

We define a translation from Condition/Event nets to the Circal process algebra. Such a translation exploits the Circal feature of allowing the simultaneous occurrence of distinct actions. This permits us to give Condition/Event nets a semantics based on true concurrency, in addition to the interleaving-based semantics. In this way the true concurrency aspects of Condition/Event nets are preser...

the relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test

the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...