«EQUIMULTIPLE»に関連する英語の本
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1
Singularities: The Brieskorn Anniversary Volume
The equimultiple locus S is given by the first order partial derivatives of f, say J = (
0, z3 + y6w, yz2 + w3,zw2 + y7). It has embedding dimension 4 since the
monomial curve C parametrized by t32, t7 , t19, t15 lies in S but cannot be
embedded ...
Egbert Brieskorn, Vladimir Igorevich Arnolʹd, Gert-Martin Greuel, 1998
2
Integral Closure: Rees Algebras, Multiplicities, Algorithms
If ((I) = g, the ideal / is called equimultiple. There are large classes of such ideals.
If (R, m) is a Noetherian local ring with an infinite residue field, then every m-
primary ideal / is equimultiple. Proposition 1.93. Let R be a Cohen-Macaulay
local ...
3
Instructions Given in the Drawing School Established by the ...
And any equimultiples c B, c D, c F of the three consequents B, D, F.
Demonstration. *' Because a :B = c : d (fyfJ, 1. If the multiple a A be >, = or < the
multiple rB, the equimultiple aC is likewise >, = or < the equimultiple C D D. 5. B.
5- In like ...
4
A Treatise on Algebra for the use of schools and colleges
Such a term may be called an equimultiple mean. It is sometimes called a
geometrical mean, and is simply a mean proportional between the extremes (§§
231. b; 232. b). §260. If s represent the sum of n terms of an equimultiple series,
we ...
Stephen CHASE (Professor of Mathematics in Dartmouth College.), 1849
5
The Doctrine of Proportion Clearly Developed: On a ...
If the first of four magnitudes have the same ratio to the second, which the third
has to the fourth, then any equimultiples whatever of the first and third shall have
the same ratio to any equimultiples of the second and fourth ; viz., the
equimultiple ...
6
Euclide's Elements: The Whole Fifteen Books Compendiously ...
FH. a That is, the whole line ACS is as equimultiple of C, as the whole line DEt is
of F< ^WsA nw to be dem< PROP. III. If the first A le equimultiple of the second B,
and the third C of the fourth D, and there be taken El, FM equimultiples of the ...
Euclid, Isaac Barrow, Archimedes, 1714
7
Commutative Algebra: Interactions with Algebraic Geometry : ...
A first step consists in examining the class of equimultiple ideals (we assume that
R has infinite residue field throughout). PROPOSITION 4.1. Let I be an
equimultiple Cohen- Macaulay ideal of codimen- sion > 1, J one of its minimal
reductions.
Luchezar L. Avramov, American Mathematical Society, Société mathématique de France, 2003
8
Elements of plane trigonometry: In which is introduced, a ...
the equimultiple of the first will exceed, equal, or fall short of, the equimultiple of
the second according as the equimultiple of the third exceeds, equals, or falls
short of, the equimultiple of the fourth. Consequently these quantities' are ...
9
A Source Book in Medieval Science
there are numbers, however many, that are equimultiple to just as many other [
numbers], [then] the number composed of these [equimultiples] will also be
equimultiple to the number composed of [all] the other numbers. For what has
been ...
10
Integral Closure of Ideals, Rings, and Modules
... upon in [295, Appendice I]. Our treatment follows that of Lipman in [187]. We
are indebted to T. Gaffney for information about this topic (see Discussion 11.4.7).
Throughout this section tp : (i?, m,fc) — > (S, 11.4. Equimultiple families of ideals
...
Craig Huneke, Irena Swanson, 2006
