Mathematical discoveries from program search with large language models.

Large language models (LLMs) have demonstrated tremendous capabilities in solving complex tasks, from quantitative reasoning to understanding natural language. However, LLMs sometimes suffer from confabulations (or hallucinations), which can result in them making plausible but incorrect statements. This hinders the use of current large models in scientific discovery.

Divorce in Turkish and Moroccan Communities in Belgium.

This paper focuses on divorce amongst Turkish and Moroccan Belgians, with a specific focus on the effect of partner-choice patterns. Divorce patterns of marriages established between 01 January 2001 and either 31 December 2003 (descriptive part), or 31 December 2005 (event-history analyses) are analysed and compared to marriages established between 01 January 1988 and 31 December 1990. We distinguish three marriage types: transnational marriages (i.