KSIĄŻKI POWIĄZANE ZE SŁOWEM «SYZYGETIC»
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1
On a Theory of the
Syzygetic Relations of Two Rational ...
syzygetic function, or more briefly, a conjunctive off and <p, and A, and L, may be
termed the
syzygetic factors to 3, so considered. If we divide each term of the
equation (15.) by the allotrious factor (M), we have where R,- is the :th simplified ...
James Joseph Sylvester, Michael Chasles, 1853
2
Relations Related to Betweenness: Their Structure and ...
Note that the family of cones in a semilinearly ordered set is hyper-syzygetic, as
is the family of 5 -classes in a C-set. By Theorem 18.5 the family of components in
a B-set is syzygetic, as is the family of sectors in a D-set by Corollary 25.2(2).
Samson Adepoju Adeleke, P. M. Neumann, 1998
3
Integral Closure: Rees Algebras, Multiplicities, Algorithms
Syzygetic Ideals Let R be a local ring and / an ideal minimally generated by the
sequence x = {*i ..... *n}. Let K be the corresponding Koszul complex and denote
by Z its cycles. The subalgebra Z' = Zn/K consists of the cycles with coefficients in
/ ...
4
The Collected Mathematical Papers of James Joseph Sylvester
If U, V, W, ... are any given polynomials in x, y, ... z, t, ...u, I call any quantity not
containing x, y,... z capable of being exhibited under the form of the syzygetic
function U^U + FjF+ W-¡W ... a resultant of the given polynomials in respect to x, y,
... z.
James Joseph Sylvester, 2008
5
Combinatorics of Minuscule Representations
U The previous two lemmas show that, from the point of view of the group action,
there are precisely two types of triples of bitangents: syzygetic and azygetic.
Corollary 9.3.10 Any pair of bitangents extends to an azygetic triple in exactly ten
...
6
The Collected Mathematical Papers
If U, V, W,... are any given polynomials in x, y,...z, t,...u, I call any quantity not
containing x, y, ... z capable of being exhibited under the form of the syzygetic
function ^11+ V{V+ WXW ... a resultant of the given polynomials in respect to x, y,
... z.
Henry John Stephen Smith, 1965
7
Proceedings of the London Mathematical Society
Art. 10. Problem 14. — " Given the polar system of a cubic C, to determine its nine
points of inflexion." The problem requires one biquadratic, and two cubic
constructions. Solution. — The syzygetic cubics comprise four triangles ; of which
one ...
8
Algebraic Geometry and Theta Functions
Any two pairs from the 6 pairs of a contact system determine a syzygetic tetrad
but the tetrad can be divided into pairs in three ways whence there are 63-15/ 3 I
21-15 syzygetic tetrads and 21 - 15-4 I 28 -45 syzygetic triads. Since 28- 9- 13 ...
9
Classical Algebraic Geometry: A Modern View
Let us now compute the number of syzygetic tetrads. Lemma 5.4.2 Let q1, q2, q3
be a set of three elemenst in Q(V). The following properties are equivalent: 0)
611,612, q3 is a syzygetic triad; (ii) 611012 + (13) I Arflqz) + Aff(q3); (iii) (0011+ ...
10
Curves, Jacobians, and Abelian Varieties: Proceedings of an ...
In other words, J(K, L) = J(K) = J(L) — J(KL) so long as K and L are syzygetic.
Again, any N is syzygetic to one of K,L, KL so that J(K) = J(N) hence is totally
independent of everything. This completes the proof of Theorem 2. V. Higher
Genus.
