Abstract.In this paper, a new penalty function approach is proposed for the linear bilevel multiobjective programming problem. Using the optimality conditions of the lower level problem, we transform ...

Cluster analysis involves the problem of optimal partitioning of a given set of entities into a pre-assigned number of mutually exclusive and exhaustive clusters. Here the problem is formulated in two ...

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum mechanics to infinitely intricate mathematical structures. Hofstadter was ...

Individuals living in urban cities are experiencing the combined effect of increasing temperatures and poor air quality, often referred to as the urban heat dome. Pregnant mothers and their unborn ...

Mastering essential skills can improve performance in Mathematics. When students are equipped with basic skills, their working memories aren’t taxed, and learning can become fun and encouraging.

New Social Security report raises alarms for 300 million Americans Deserters used to be shot – now they’re coming to Ukraine’s rescue 1 dead, 6 injured after gunman opens fire on sidewalk: 'Sickening ...

A simple arithmetic problem has left internet users scratching their heads - with only a few landing on the correct solution to this elementary school-level equation. While most people learned the ...

Bryan Nelson is a science writer and award-winning documentary filmmaker with over a decade of experience covering technology, astronomy, medicine, animals, and more. Named after the Polish-American ...