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Fundamental and groups
Fundamental domains in a cubic element of three groups.
** 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.
Fundamental groups also appear in algebraic geometry and are the main topic of Alexander Grothendieck's first Séminaire de géométrie algébrique ( SGA1 ).
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.

Fundamental and can
Fundamental life processes such as cell division and protein synthesis can be studied using plants without the moral issues that come with conducting studies upon animals or humans.
* 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 ")
Fundamental frequency, the main acoustic cue for the percept pitch, can be varied through a variety of means.
Fundamental strings exist in 9 dimensions and the strings can vibrate in any direction, meaning that the spectrum of vibrational modes is much richer.
Interest in prime elements comes from the Fundamental theorem of arithmetic, which asserts that each integer can be written in essentially only one way as 1 or − 1 multiplied by a product of positive prime numbers.
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 ).
Fundamental results of computability theory show that there are functions that can be precisely defined but are not computable.
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.
Many other Picard-type theorems can be derived from the Second Fundamental Theorem.
As another corollary from the Second Fundamental Theorem, one can obtain that
This is the heart of the " Fundamental Question of Ethics " that appears at the very start of the Chronicles, which can be rephrased as " Do one's actions in dreams have any real significance?
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 ).
Pareto-optimal solutions are not unique, and according to the Second Fundamental Theorem of Welfare Economics, a social planner can achieve any Pareto-optimal outcome by an appropriate redistribution of wealth by means of competitive market.
The extent of Locke's involvement in drafting the Fundamental Constitutions is a matter of some debate, but even attributing full culpability for its contents and for his having profited from the Atlantic slave trade, the majority of experts will concede that Locke may have been a hypocrite in this matter, but are adamant that no part of the Two Treatises can be used to provide theoretical support for slavery by bare right of conquest.
In such an emergency, Fundamental Rights of Indian citizens can be suspended.
This convention has been used in some later works, such as Fundamental Chess Endings and Secrets of Pawn Endings by Karsten Müller and Frank Lamprecht, but it can be safely assumed the convention is not being used unless there is a specific note otherwise.
Based on the definition of Neumann, Heinrich Streintz ( 1883 ) argued that if gyroscopes don't measure any signs of rotation, then one can speak of inertial motion which is related to a " Fundamental body " and a " Fundamental Coordinate System ".
Fundamental to the house is an atmosphere of quiet so that the students can concentrate on their studies.
Fundamental to the design is a colored rubber ring that serves as a color code so different members of a household can distinguish their individual prescriptions.
The Fundamental Rights can be enhanced, removed or otherwise altered through a constitutional amendment, passed by a two-thirds majority of each House of Parliament.
( Fundamental means that every other invariant can be expressed in terms of these two.

Fundamental and be
Fundamental physical laws such as the conservation of mass, the conservation of momentum, and the conservation of energy may be applied to such models to derive differential equations describing the behavior of such objects, and some information about the particular material studied is added through a constitutive relation.
A recent example is the Charter of Fundamental Rights of the European Union which was intended to be included in the Treaty establishing a Constitution for Europe, that failed to be ratified.
# Fundamental analysis maintains that markets may misprice a security in the short run but that the " correct " price will eventually be reached.
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.
Fundamental to the concept of secular humanism is the strongly held viewpoint that ideology — be it religious or political — must be thoroughly examined by each individual and not simply accepted or rejected on faith.
* Fundamental theorem of analog circuits: a minimum level of power must be dissipated to maintain a level of SNR
C. S. Unnikrishan, Tata Institute of Fundamental Research, Bombay, India, showed that if the effect had been caused by gravitational shielding, the shape of the shielded region would be similar to a shadow from the gravitational shield.
Although sometimes mentioned in subsequent rulings, the clear and present danger test was never endorsed by the Supreme Court as a test to be used by lower courts when evaluating the constitutionality of legislation that regulated speech .< ref name = K60 > Killian, pp 1096, 1100 .</ br > Currie, David P., The Constitution in the Supreme Court: The Second Century, 1888-1986, Volume 2, University of Chicago Press, 1994, p 269, ISBN 9780226131122 .</ br > Konvitz, Milton Ridvad, Fundamental Liberties of a Free People: Religion, Speech, Press, Assembly, Transaction Publishers, 2003, p 304, ISBN 9780765809544. Eastland, p 47 .</ ref >
Therefore, considering the fact that the " Discount " must match the benefits obtained from a similar Investment Asset, the " Discount Yield " must be used within the same compounding mechanism to negotiate an increase in the size of the " Discount " whenever the time period the payment is delayed or extended .< Ref Name =" Economics_Discount "/> The “ Discount Rate ” is the rate at which the “ Discount ” must grow as the delay in payment is extended .< Ref Name =" MathEcon_Chiang "> Alpha C Chiang, " Fundamental Methods of Mathematical Economics, Third Edition ", McGraw Hill Book Company, 1984 .</ ref > This fact is directly tied into the " Time Value of Money " and its calculations.
The German word Grundgesetz may be translated as either Basic Law or Fundamental Law ( Grund is cognate with the English word ground ).
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?
In 1673 the original settlers of Woodbury drew up an agreement called theFundamental Articles ,” which proclaimed that as many settlers as could be accommodated would be welcomed to the new settlement.
The Fundamental Articles stated that expenses of establishing the settlement would be shared by its inhabitants, and that no one was to be given more than twenty-five or less than ten acres of land.
* Fundamental force, an interaction between particles that cannot be explained by other interactions

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