Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Gordon Scott has been an active investor and technical analyst or 20+ years. He is a Chartered Market Technician (CMT). Amanda Jackson has expertise in personal finance, investing, and social services ...

Microbial ecology is currently undergoing a revolution, with repercussions spreading throughout microbiology, ecology and ecosystem science. The rapid accumulation of molecular data is uncovering vast ...

The town of Harmony, Mississippi, which owes its origins to a small number of formerly enslaved Black people who bought land from former slaveholders after the Civil War, is nestled in Leake County, a ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Robert Kelly is managing director of XTS ...

Evolutionary theory is the area that focuses on further development and refinement of the modern synthesis of evolution and genetics. Notable topics include the appropriate level of selection, the ...

Cognitive dissonance is a term for the state of discomfort felt when two or more modes of thought contradict each other. The clashing cognitions may include ideas, beliefs, or the knowledge that one ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

Do young people believe in conspiracy theories? A 2021 study led by Northumbria University investigated young people's attitudes towards conspiracy theories, and found that these beliefs heightened at ...

Abstract: Multi-dimensional prediction models of the pandemic diseases should be constructed in a way to reflect their peculiar epidemiological characters. In this paper, a graph theory-based ...

Abstract: The graph model for conflict resolution (GMCR) is a branch of decision-making; therefore, how to scientifically abstract the evaluative thinking of decision-makers (DMs) has always been a ...