[permalink] [id link]
Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows ( also called morphisms, although this term also has a specific, non category-theoretical meaning ), where these collections satisfy some basic conditions.
Some Related Sentences
Category and theory
Category theory is also, in some sense, a continuation of the work of Emmy Noether ( one of Mac Lane's teachers ) in formalizing abstract processes ; Noether realized that in order to understand a type of mathematical structure, one needs to understand the processes preserving that structure.
Category and is
HM Prison Dartmoor is a Category C men's prison, located in Princetown, high on Dartmoor in the English county of Devon.
One of their films is screened in the KahBang Off Screen Category, " Six Degrees of Kevin Bacon " which connects the honored back to the man himself.
( Category theoretical ) presheaf: For categories C and J, a J-presheaf on C is a contravariant functor.
* Category 1: Military firearms ; According to French law, a military firearm is a weapon which has a gauge used by the army since 1880.
* Category 4: Civil firearms ; According to French law, a civil firearm is a semi automatic long gun with more of 2 rounds in magazine which don't use a military gauge, or a handgun ( pistol or revolver, including all magazine capacities ) which doesn't have a gauge used by the army.
Category theory, another field within " foundational mathematics ", is rooted on the abstract axiomatization of the definition of a " class of mathematical structures ", referred to as a " category ".
This use of the ACAT acronym is reminiscent of another ACAT ( for Acquisition Category ) used in US Defense industry procurements, in which Risk Management figures prominently in decision making and planning.
* Cable that meets RS-485 standards is significantly more expensive than the regular Category 5 UTP network cable.
For example, baluns can be used to send line level audio or E-carrier level 1 signals over coaxial cable ( which is unbalanced ) through of Category 5 cable by using a pair of baluns at each end of the CAT5 run.
EBOV is a select agent, World Health Organization Risk Group 4 Pathogen ( requiring Biosafety Level 4-equivalent containment ), National Institutes of Health / National Institute of Allergy and Infectious Diseases Category A Priority Pathogen, Centers for Disease Control and Prevention Category A Bioterrorism Agent, and listed as a Biological Agent for Export Control by the Australia Group.
* Category B, UN 2900-Infectious substances affecting animals only: An infectious substance that is not in a form generally capable of causing permanent disability of life-threatening or fatal disease in otherwise healthy humans and animals when exposure to themselves occurs.
Built in 1851, it is now a Category B men's prison, and is the largest prison in London and one of the largest in western Europe, with similar capacity to Liverpool Prison.
The Jaldapara Wildlife Sanctuary in West Bengal, India is a Habitat Management Area ( Category IV ).