Fundamental domains in a cubic element of three groups.

Fundamental groups can be studied using the theory of covering spaces, since a fundamental group coincides with the group of deck transformations of the associated universal covering space.

** Fundamental groups of closed orientable two-dimensional manifolds.

Fundamental groups and homology and cohomology groups are not only invariants of the underlying topological space, in the sense that two topological spaces which are homeomorphic have the same associated groups, but their associated morphisms also correspond — a continuous mapping of spaces induces a group homomorphism on the associated groups, and these homomorphisms can be used to show non-existence ( or, much more deeply, existence ) of mappings.

There about 20 different Baptist groups in the Philippines, including the Association of Fundamental Baptist Churches in the Philippines, which represents a schism from the American Baptist missions and " Convention " churches before the national organization was created.

* Fundamental groups of graphs of groups

* Fundamental theorem of cyclic groups

* Fundamental theorem of finitely generated abelian groups

Shutz ’ s ( 1958 ) “ Fundamental Interpersonal Relations Orientation ” theory suggests that groups satisfy the need for control, intimacy and inclusion.

Other religious groups include the United Church of Christ in the Philippines ( UCCP ), Baptist and Bible Fundamental churches, Seventh Day Adventist Churches, Iglesia ni Kristo, and other denominations.

There are also the IEMELIF Reform Movement ( IRM ), The Wesleyan ( Pilgrim Holiness ) Church of the Philippines, the Philippine Bible Methodist Church, Inc., the Pentecostal Free Methodist Church, Inc., the Fundamental Christian Methodist Church, The Reformed Methodist Church, Inc., The Methodist Church of the Living Bread, Inc., and the Wesley Evangelical Methodist Church & Mission, Inc.

The Fundamental Law was also amended, making it more democratic, electing the entire Executive Committee by the PNC, instead of just the Chairman, separating the post of the Speaker of the PNC from the Chairman of the Executive Committee and affirmed the authority of the Executive Committee over the army.

In 2001, the European Union explicitly banned racism, along with many other forms of social discrimination, in the Charter of Fundamental Rights of the European Union, the legal effect of which, if any, would necessarily be limited to Institutions of the European Union: " Article 21 of the charter prohibits discrimination on any ground such as race, color, ethnic or social origin, genetic features, language, religion or belief, political or any other opinion, membership of a national minority, property, disability, age or sexual orientation and also discrimination on the grounds of nationality.

Nor did the Treaty of Nice deal with the question of the incorporation of the Charter of Fundamental Rights into the Treaty ; that was also left for the 2004 IGC after the opposition of the United Kingdom.

Access to education in a minority language is also seen as a human right as granted by the European Convention on Human Rights and Fundamental Freedoms, the European Charter for Regional or Minority Languages and the UN Human Rights Committee.

The EU also has a separate human rights document ; the Charter of Fundamental Rights of the European Union.

There are also semi-standard methods like Unified Modeling Language and Fundamental modeling concepts.

Fundamental parts of Walsch's writings are also mirrored within other well known spiritual writings and traditions:

He was also the transcriber of the Fundamental Orders.

Independent Baptist churches ( some also called Independent Fundamental Baptist, or IFB ) are Christian congregations generally holding to conservative Baptist beliefs.

The Canadian Charter of Rights and Freedoms ( 1982 ) also contains this fundamental right in section 12 and it is to be found again in Article Four ( quoting the European Convention verbatim ) of the Charter of Fundamental Rights of the European Union ( 2000 ).

The outcome of these controversies, reflected in the Statement of Fundamental Truths, not only shaped the denomination but also shaped American Pentecostalism.

The Second Fundamental Theorem can also be derived from the metric-topological theory of Ahlfors, which can be considered as an extension of the Riemann – Hurwitz formula to the coverings of infinite degree.

For the first time, the Commissioners also explicitly pledged to respect the new Charter of Fundamental Rights.

The European Fundamental Rights Agency ( FRA ) had also put out a tender for poets to turn the Charter into an 80-minute long epic poem, with music, dance and multimedia elements.

The right to a fair hearing is also referred to in Article 6 ( 1 ) of the European Convention on Human Rights and Fundamental Freedoms, which states:

Man also garners the place as the highest teleological end due to his capacity for morality, or practical reason, which falls in line with the ethical system that Kant proposes in the Critique of Practical Reason and the Fundamental Principles of the Metaphysics of Morals.

Fundamental human rights and democratic values, including freedom of " thought, faith, and conscience ," are enshrined in the constitution, which also guarantees the status of legal person to religious denominations and allows religious teaching in public schools.

Lisbon also made the Charter of Fundamental Rights legally binding, though that is not a treaty per se.

As of December 2009, the Charter of Fundamental Rights has gained legal force and Justice Commissioner Viviane Reding has proposed that Commissioners should swear to uphold it also.

Fundamental science has traditionally been associated with the physical and natural sciences ; some research in the social and behavioral sciences, however, can also be deemed fundamental ( e. g., cognitive neuroscience, personality ).

He was also director of the Institute for Fundamental Chemistry from 1988 till his death.

MLE also organized an associated international symposium Incremental Progress or Fundamental Change ?, featuring Prof. Seymour Papert, to question attitudes and progress in digital learning.

* 1799: Doctoral dissertation on the Fundamental theorem of algebra, with the title: Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse (" New proof of the theorem that every integral algebraic function of one variable can be resolved into real factors ( i. e., polynomials ) of the first or second degree ")

He subsequently devoted his efforts into development of a " Fundamental Theory " based largely on algebraic notions ( which he called " E-frames ").

* Barbara Fantechi, Lothar Göttsche, Luc Illusie, Steven L. Kleiman, Nitin Nitsure, Angelo Vistoli, Fundamental algebraic geometry.

By the Fundamental theorem of projective geometry a reciprocity is the composition of an automorphic function of K and a homography.

* Fundamental theorem of projective geometry

* Fundamental theorem of Riemannian geometry

Fundamental to the difficulty of creating the desired prestige is the fact that, in the business community, prestige and status are conferred in proportion to the authority that one man has over others and the extent of which he participates in the management functions ''.

Fundamental to the concept of public service ethics is the notion that decisions and actions are based on what best serves the public's interests, as opposed to the official's personal interests ( including financial interests ) or self-serving political interests.

Fundamental freedoms, including freedom of the press, are, in practice,

Fundamental mechanisms of the interaction between biological material and electromagnetic fields at non-thermal levels are not fully understood.

Fundamental to the discipline are the sciences of physics and mathematics as these help to obtain both a qualitative and quantitative description of how such systems will work.

Fundamental assumptions differ but are never brought into the open.

This has an interesting consequence because treaties that limit or extend the powers of the Dutch government are automatically considered a part of their constitutional law, for example, the European Convention for the Protection of Human Rights and Fundamental Freedoms and the International Covenant on Civil and Political Rights.

Fundamental concepts in universal algebra are signatures σ and σ-algebras.

* Fundamental Postulate: A person's processes are psychologically channelized by the ways in which the person anticipates events.

The objectives of the Party of European Socialists, the European Parliament's socialist bloc, are now " to pursue international aims in respect of the principles on which the European Union is based, namely principles of freedom, equality, solidarity, democracy, respect of Human Rights and Fundamental Freedoms, and respect for the Rule of Law.

The official teachings of the Seventh-day Adventist denomination are expressed in its 28 Fundamental Beliefs.

* April 23 – In Tsarist Russia, the Fundamental Laws are announced at the first state Duma.

Barnet states that Christian rock acts are controversial because they do not meet the Fundamental Evangelistic Association's criteria for a truly " Christian " song: must be doctrinally correct ( according to FEA's interpretation of the Bible ), it should not contain syncopation (" Does it stir the flesh to ' boogie ,' or the spirit to praise the Lord?

There are seven middle schools in Corona: Auburndale, Citrus Hills, Corona Fundamental, El Cerrito, Raney, Norco, and River Heights.

Within the city limits of Dunedin, there are four public elementary schools ( Curtis Fundamental, Dunedin, Garrison-Jones, San Jose ), one public middle school ( Dunedin Highland ), and one public high school ( Dunedin High School ).

Fundamental indicators are subject to the same limitations, naturally.

: The best of his philosophical works, which are clear expositions of the scholastic system of thought, are the Filosofia Fundamental ( Basic Philosophy ), and the Curso de Filosofia Elemental ( A Course of Elementary Philosophy ), which he translated into Latin for use in seminaries.

For any flow, you can write the equations of the flow in terms of vorticity rather than velocity by simply taking the curl of the flow equations that are framed in terms of velocity ( may have to apply the 2nd Fundamental Theorem of Calculus to do this rigorously ).

His psychological theory was suggested by the Dissertation concerning the Fundamental Principles of Virtue or Morality, which was written by a clergyman named John Gay ( 1699 — 1745 ), and prefixed by Bishop Law to his translation of Archbishop King's Latin work on the Origin of Evil, its chief object being to show that sympathy and conscience are developments by means of association from the selfish feelings.

Fundamental results of computability theory show that there are functions that can be precisely defined but are not computable.