#( 21.

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

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

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

#( 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.

#( 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.

#( 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.

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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#( 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.

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

#( 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.

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

#( porn ) Star Hustler ( feat.

#( 2 ). 50 caliber sniper rifles

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

#( a ) Minimal usage not an issue here.

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 ).

Later came Rockford #( 3or7 ) with Spender / Megabucks site as well as Dale's site ( God ).

#( May 18, 2005 ).

A point like p gets information directly from n, but all information beyond n is indirectly relayed through n.

As the total number of incepting bachelors in 1629 was, according to Masson ( Life, 1:218 ) and n, two hundred fifty-nine, the twenty-four names listed in the ordo senioritatis for that year constitute slightly less than one tenth of the total number of bachelors who then incepted.

There must be a fixed number n of repeated trials.

If it were wholly random and unrelated, it would be 2.0, assuming the five classes were equal in n, which approximately they are.

We also see how the results may be presented, although if n, the number of state variables, is large any tabulation will become cumbersome.

The only natural World Heritage Sites is the Tassili n ' Ajjer, a mountain range.

With the formula C < sub > n </ sub > H < sub > 2n + 2 </ sub >, Alkanes belong to a homologous series of organic compounds in which the members differ by a constant relative molecular mass of 14.

* cyclic ( general formula, n > 2 ) wherein the carbon backbone is linked so as to form a loop.

In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter — a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

: For an example of the simple algorithm " Add m + n " described in all three levels see Algorithm examples.

Anatolia corresponds to the western two-thirds of the Asia n part of Turkey.

An important class of alcohols are the simple acyclic alcohols, the general formula for which is C < sub > n </ sub > H < sub > 2n + 1 </ sub > OH.

This algorithm can easily be adapted to compute the variance of a finite population: simply divide by n instead of n − 1 on the last line.

Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.