Counting Simplexes in R3
نویسندگان
چکیده
A nite set of vectors S R n is called a simplex ii S is linearly dependent but all its proper subsets are independent. This concept arises in particular from stoichiometry. We are interested in this paper in the number of simplexes contained in
منابع مشابه
Counting Simplexes in R
A finite set of vectors S ⊆ R is called a simplex iff S is linearly dependent but all its proper subsets are independent. This concept arises in particular from stoichiometry. We are interested in this paper in the number of simplexes contained in some H ⊆ R , which we denote by simp(H). This investigation is particularly interesting for H spanning R and containing no collinear vectors. Our mai...
متن کاملFiltrations on the Knot Contact Homology of Transverse Knots
We construct a new invariant of transverse links in the standard contact structure on R3. This invariant is a doubly filtered version of the knot contact homology differential graded algebra (DGA) of the link, see [4], [13]. Here the knot contact homology of a link in R3 is the Legendrian contact homology DGA of its conormal lift into the unit cotangent bundle S∗R3 of R3, and the filtrations ar...
متن کاملWeyl Formula for the Negative Dissipative Eigenvalues of Maxwell’s Equations
Let V (t) = etGb , t ≥ 0, be the semigroup generated by Maxwell’s equations in an exterior domain Ω ⊂ R3 with dissipative boundary condition Etan − γ(x)(ν ∧ Btan) = 0, γ(x) > 0, ∀x ∈ Γ = ∂Ω. We study the case when Ω = {x ∈ R3 : |x| > 1} and γ 6= 1 is a constant. We establish a Weyl formula for the counting function of the negative real eigenvalues of Gb.
متن کاملOn a Conjecture of Milnor about Volume of Simplexes
We establish the second part of Milnor’s conjecture on the volume of simplexes in hyperbolic and spherical spaces. §
متن کاملDelaunay simplexes in physics
Delaunay simplexes are very helpful instrument for analysis of computer models of atomic, molecular and granular systems. This paper illustrates their application to the current physical problems. The first one is the structure of non-crystalline packing of spheres. Recently it got the advance thanks to application of the Delaunay simplexes with quantitative measures of simplex shape. The secon...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 5 شماره
صفحات -
تاریخ انتشار 1998