Group theory

For example the group of symmetries on an equilateral triangle is the same as rearranging the numbers 123 into 213, 312, 132 etc. The symmetric group of order 3 describes both the combinatorial…

A tensor that is a homogeneous 3rd order covariant tensor and in the same time is a relative modular 3rd order contravariant tensor with weight equal 3

Mr. Lee says: Atomic radius increases as you go DOWN a group because you are adding more energy levels (orbitals) of electrons... 1s, 2s, 3s, 4s, etc. Atomic radius decreases as you go from LEFT...

The Holy Grail of Theoretical Physics: A Theory of Everything. Does string theory - as a theory of quantum gravity - live up to these expectations?

Bruce Tuckman discovered that teams go through a team-building process: Forming, Storming, Norming, Performing, and finally Adjourning.

Kohlberg’s theory of moral development outlines how individuals progress through six stages of moral reasoning, grouped into three levels: preconventional, conventional, and postconventional. At each level, people make moral decisions based on different factors, such as avoiding punishment, following laws, or following universal ethical principles. This theory shows how moral understanding evolves with age and experience.

A visual, organizational map of complex systems science

If you've ever struggled with the strong force, this explanation is a life-saver.

Many designers can boast of having creative intuition and a sharp eye: they add as much passion and feeling into the layout of the future website or app as rational thinking and measurement. In lots…

Applied Game Theory For Your Day-To-Day Business Operations. Game theory has been one of those disciplines that have reached phenomenal status because it has introduced concepts and methodologies that are deemed by many to be “game-changers” (no pun intended). #cleverism #appliedgametheory #day-to-daybusinessoperation

The essential guide to teamworking. Learn how to build and run effective teams with benefits, examples, checklists, templates, and downloads.

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

Ilustrating the fundamental homomophism theory for groups.

Best way to study abstract math is to use concrete examples, visualizable 2- or 3- dimensional mathematical ‘objects’. Groups: (Do not need to search too far…) Best example is the…