#( Rationality ) ζ ( X, s ) is a rational function of T = q < sup >− s </ sup >.

#( Going up ) If B is an integral extension of A, then the extension satisfies the going-up property ( and hence the lying over property ), and the incomparability property.

#( Going down ) If B is an integral extension of A, and B is a domain, and A is integrally closed in its field of fractions, then the extension ( in addition to going-up, lying-over and incomparability ) satisfies the going-down property.

#( Riemann hypothesis ) | α < sub > i, j </ sub >| = q < sup > i / 2 </ sup > for all and all j.

#( Betti numbers ) If X is a ( good ) " reduction mod p " of a non-singular projective variety Y defined over a number field embedded in the field of complex numbers, then the degree of P < sub > i </ sub > is the i < sup > th </ sup > Betti number of the space of complex points of Y.

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#( 1974 – 1977 ) Arthur E. Carr

#( Crypto -) CatharAccording to this thesis, troubadour poetry is a reflection of Cathar religious doctrine.

#( Affine axiom of parallelism ) Given a point A and a line r, not through A, there is at most one line through A which does not meet r.

#( Desargues ) Given seven distinct points A, A ', B, B ', C, C ', O, such that AA ', BB ', and CC ' are distinct lines through O and AB is parallel to A ' B ' and BC is parallel to B ' C ', then AC is parallel to A ' C '.

#( All ) y is a B

#( All ) y is a Z

#( the cycle property of minimum spanning trees ): For any cycle C in the graph, if the weight of an edge e of C is larger than the weights of other edges of C, then this edge cannot belong to a MST.

#( a property of Delaunay triangulations ): If there is a circle with two of the input points on its boundary which contains no other input points, the line between those two points is an edge of every Delaunay triangulation.

#( TR 3 ) Given a map between two morphisms, there is a morphism between their mapping cones ( which exist by axiom ( TR 1 )), that makes everything commute.

#( TR 4 ) This is called the octahedral axiom.

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#( probably ) Theodoric I of Wettin, d. 976

#( Senior ) Project Manager: Has overall responsibility for design, implementation, and management of research projects.

The diagonal lemma also requires that there be a systematic way of assigning to every formula θ a natural number #( θ ) called its Gödel number.

#( Later ) Jin and Korea will not violate each other's territory.

#( Polonaise ) in D minor, BWV Anh.

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#( 1954-hame. n dil me. n basaa bhi lo ).

#( For men only ) Doing istibra ' before ghusl janabat.

#( TR 2 ) The rotations of any distinguished triangle are distinguished.

#( porn ) Star Hustler ( feat.

#( 2 ). 50 caliber sniper rifles

#( probably ) Dietrich I, Count of Wettin, d. 976

#( a ) Minimal usage not an issue here.

* Functional equation

* Functional equation

* Functional equation ( L-function )

* Functional equation

# REDIRECT Functional equation ( L-function )

# REDIRECT Functional equation

< li > Functional equation: there is a gamma factor of the form

Functional programming has its roots in lambda calculus, a formal system developed in the 1930s to investigate function definition, function application, and recursion.

Functional decomposition refers broadly to the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed ( i. e., recomposed ) from those parts by function composition.

* In Functional programming, the environment is " a function which maps variable names on to their values "

Note that neither of these statements implies the other, since there are complete metric spaces which are not locally compact ( the irrational numbers with the metric defined below ; also, any Banach space of infinite dimension ), and there are locally compact Hausdorff space which are not metrizable ( for instance, any uncountable product of non-trivial compact Hausdorff spaces is such ; also, several function spaces used in Functional Analysis ; the uncountable Fort space ).

* Functional programming languages commonly exhibit abstractions related to functions, such as lambda abstractions ( making a term into a function of some variable ), higher-order functions ( parameters are functions ), bracket abstraction ( making a term into a function of a variable ).

Fogg ( 1998 ) proposes the Functional Triad as a classification of three " basic ways that people view or respond to computing technologies ": persuasive technologies can function as tools, media, or social actors – or as more than one at once.

* Functional benchmarking-a company will focus its benchmarking on a single function to improve the operation of that particular function.

Functional pitch recognition involves identifying the function or role of a single pitch in the context of an established tonic.

Functional neuroimaging is the use of neuroimaging technology to measure an aspect of brain function, often with a view to understanding the relationship between activity in certain brain areas and specific mental functions.

* Functional dependencies, which constrain parts of that relation to be a mathematical function on types.

While " form " and " function " may be more or less explicit and invariant concepts to the many engineering doctrines, Metaprogramming and the Functional programming paradigm lend themselves very well to explore, blur and invert the essence of those two concepts.

Functional redundancy ( the presence of multiple species that provide the same function ) is an important example of the need for biodiversity.

Functional food is a food where a new ingredient ( s ) ( or more of an existing ingredient ) has been added to a food and the new product has an additional function ( often one related to health-promotion or disease prevention ).

Functional genomics attempts to answer questions about the function of DNA at the levels of genes, RNA transcripts, and protein products.

* Functional Morphology is the study of the relationship between the structure and function of morphological features.

:* Functional arcs ( ending in value node ) indicate that one of the components of additively separable utility function is a function of all the nodes at their tails.

:* Functional arcs ending in Satisfaction indicate that Satisfaction is a utility function of Weather Condition and Vacation Activity.

* Functional Addressing, alias system to call someone registered on the GSM-R network, only by knowing the temporary function user ( engine driver of train such-and-such, …)

According to Dr. Masunaga ( founder of Zen Shiatsu ), who has assigned psychological functions to the Functional Circles, the meridian of the gallbladder stands on behalf for the function of short-time decisions: " Do I go to the right or to the left?