These are lecture notes, in progress, on monomial ideals. The point of view is that monomial ideals are best understood by drawing them and looking at their corners, and that a combinatorial duality satisfied by these corners, Alexander duality, is key to understanding the more algebraic duality theories at play in algebraic geometry and commutative algebra. Sections written so far cover Alexan...

These notes, originally written in the 1980’s, were intended as the beginning of a book on 3 manifolds, but unfortunately that project has not progressed very far since then. A few small revisions have beenmade in 1999 and 2000, butmuchmore remains to be done, both in improving the existing sections and in adding more topics. The next topic to be added will probably be Haken manifolds in §3.2. ...

Healthcare facilities are often complex and overwhelming for visitors, and wayfinding in healthcare facilities can be challenging. As there is an increasing number of global citizens who travel to seek medical care in another country, it is critical to make wayfinding easy for visitors who are not familiar with the language in a foreign country. Among many wayfinding aids, symbols are helpful f...

This study investigates the role of phonological and morphological information in children's developing orthographies in two languages with different linguistic typologies: Hebrew, a Semitic language with a highly synthetic morphology, and Dutch, a Germanic language with a sparse morphology. 192 Israeli and 192 Belgian monolingual schoolchildren in grades 1-6 (aged 6;0-12;0) were administered r...

Violence risk assessment in psychiatric institutions enables interventions to avoid violence incidents. Clinical notes written by practitioners and available electronic health records are valuable resources capturing unique information, but seldom used their full potential. We explore conventional deep machine learning methods assess patients using practitioner notes. The performance of our bes...

This effort is a description and analysis of how musical elements were written in ancient Kurdish notes, especially the Erbil art group music groups Sulaymaniyah Dohuk.The uncertainty this topic motivated conduct research. Because most available notes are devoid these ornament symbols, yet they played through listening, full symbols... Therefore, situation raised number questions for researcher...

Traditionally, literacy, and speech production have been investigated separately. Studies of development demonstrate that children are able to meet the challenge of language learning across modalities, and that adults may experience difficulties in one or both modalities. Yet, it is rare to find a conceptual connection between these two processes. I argue that speaking and reading actually shar...