Linear relationIn linear algebra, a linear relation, or simply relation, between elements of a vector space or a module is a linear equation that has these elements as a solution. More precisely, if are elements of a (left) module M over a ring R (the case of a vector space over a field is a special case), a relation between is a sequence of elements of R such that The relations between form a module. One is generally interested in the case where is a generating set of a finitely generated module M, in which case the module of the relations is often called a syzygy module of M.
Optical resolutionOptical resolution describes the ability of an imaging system to resolve detail, in the object that is being imaged. An imaging system may have many individual components, including one or more lenses, and/or recording and display components. Each of these contributes (given suitable design, and adequate alignment) to the optical resolution of the system; the environment in which the imaging is done often is a further important factor. Resolution depends on the distance between two distinguishable radiating points.
Resolution (algebra)In mathematics, and more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution) is an exact sequence of modules (or, more generally, of s of an ), which is used to define invariants characterizing the structure of a specific module or object of this category. When, as usually, arrows are oriented to the right, the sequence is supposed to be infinite to the left for (left) resolutions, and to the right for right resolutions.
Academic freedomAcademic freedom is a moral and legal concept expressing the conviction that the freedom of inquiry by faculty members is essential to the mission of the academy as well as the principles of academia, and that scholars should have freedom to teach or communicate ideas or facts (including those that are inconvenient to external political groups or to authorities) without fear of repression, job loss, or imprisonment.
Freedom of religionFreedom of religion or religious liberty is a principle that supports the freedom of an individual or community, in public or private, to manifest religion or belief in teaching, practice, worship, and observance. It also includes the freedom to change one's religion or beliefs, "the right not to profess any religion or belief", or "not to practise a religion" (often referred to as "freedom from religion"). Freedom of religion is considered by many people and most nations to be a fundamental human right.
Freedom HouseFreedom House is a non-profit organization group in Washington, D.C. It is best known for political advocacy surrounding issues of democracy, political freedom, and human rights. Freedom House was founded in October 1941, with Wendell Willkie and Eleanor Roosevelt serving as its first honorary chairpersons. Its mission is to expand and defend freedom globally, and its vision is a world where all are free. Most of the organization's funding comes from U.S. and other government grants.
Freedom of assemblyFreedom of peaceful assembly, sometimes used interchangeably with the freedom of association, is the individual right or ability of people to come together and collectively express, promote, pursue, and defend their collective or shared ideas. The right to freedom of association is recognized as a human right, a political right and a civil liberty. The terms freedom of assembly and freedom of association may be used to distinguish between the freedom to assemble in public places and the freedom to join an association.
