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Page "Triangulated category" ¶ 21

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Some Related Sentences

#( and TR

#( TR 1 ) Every triangulated category contains the following triangles:

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

#( 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.

#( and 4

The next would be a slightly louder C #( 4 ) and a slightly quieter C #( 5 ); the next would be a still louder D ( 4 ) and a still quieter D ( 5 ).

#( Hot S ** t ) Country Grammar Edit w / Effects 4: 15

#( Hot S ** t ) Country Grammar Edit w / Mutes & Boom Booms 4: 15

#( Hot S ** t ) Country Grammar 4: 49

#( Hot S ** t ) Country Grammar Edit 4: 15

#( and is

#( 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 '.

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

#( Functional equation and Poincaré duality ) The zeta function satisfies < dl >< dd ></ dl > or equivalently < dl >< dd ></ dl > where E is the Euler characteristic of X.

#( 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 i is the i th Betti number of the space of complex points of Y.

#( 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.

#( 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.

#( and called

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.

#( and .

#( 21.

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

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

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

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

#( Polonaise ) in D minor, BWV Anh.

#( Same as above.

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

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

#( porn ) Star Hustler ( feat.

#( 2 ). 50 caliber sniper rifles

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

#( a ) Minimal usage not an issue here.

TR and 4

Initial studies were undertaken into centrifugal-flow engine design, which later were eclipsed by a new axial-flow design, the TR. 4, later known as the Chinook, the first Canadian-designed jet engine.

< TR style = background :# f8f8f8 ;>< td colspan = 4 >

< TR >< TH COLSPAN =" 4 " style =" background :# efefef ;"> Financial Information </ TH ></ TR >

< TR >< TH COLSPAN =" 4 "> * Georgia-Pacific was acquired by Koch Industries, Inc., in December 2005.

< TR >< TH COLSPAN =" 4 " style =" background :# efefef ;"> Financial Information

< TR >< TD > Total Revenue ( US $ M )< TD > 476. 169 < TD > 439. 957 < TD > 423. 472 < TD > 417. 24 < TD > 1, 496. 1 < TD > 1, 351. 4 < TD > 1, 192. 4 < TD > 1, 286. 2 < TD > 1, 752. 0

< TR >< TD > Net Income ( Loss ) ( US $ M )< TD > 81. 431 < TD > 72. 937 < TD > 74. 642 < TD > 139. 11 < TD > 32. 9 < TD > 271. 2 < TD > 50. 7 < TD >( 234. 4 )< TD >( 79. 4 )

< TR BGColor ="# C0C0C0 ">< TD Align =" Center " ColSpan = 4 > Code Details </ TD ></ TR >

< TR BGColor ="# F0F0F0 ">< TD > 4 </ TD >< TD > 4 </ TD >< TD > NnNwWnNnW </ TD >< TD > bwbWBwbwB </ TD ></ TR >

< TH > 4 ° level </ TH > </ TR >

< TR >< TD > Himachal Pradesh </ TD > < TD > 0 </ TD > < TD > 0 </ TD > < TD > 1 </ TD > < TD > 0 </ TD > < TD > 4 </ TD ></ TR >

< TR >< TD > Kerala </ TD > < TD > 4 </ TD > < TD > 3 </ TD > < TD > 4 </ TD > < TD > 0 </ TD > < TD > 20 </ TD ></ TR >

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