Causal association of electromagnetic signals using the Cayley–Menger determinant

نویسندگان

  • Samuel Picton Drake
  • Brian D. O. Anderson
  • Changbin Yu
چکیده

determinant Samuel Picton Drake, Brian D. O. Anderson, and Changbin Yu Defence Science and Technology Organisation, Edinburgh, South Australia 5111, Australia and School of Chemistry and Physics, The University of Adelaide, Adelaide, South Australia 5005, Australia Research School of Information Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia and National ICT Australia (NICTA), Australian National University, Canberra, Australian Capital Territory 0200, Australia

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cosines and Cayley, Triangles and Tetrahedra

This article surveys some of the more aesthetically appealing and useful formulas relating distances, areas, and angles in triangles and tetrahedra. For example, a somewhat neglected trigonometric identity involving only the cosines of a triangle is an instance of the famous Cayley cubic surface. While most of these formulas are well known, some novel identities also make an appearance. Heron’s...

متن کامل

Wireless Sensor Network Localization With Imprecise Measurements Using Only a Quadratic Solver

The energy constrained wireless sensor nodes need very efficient localization algorithm for event detection. We propose a method for localizing the wireless sensor nodes using the concept of Cayley-Menger Determinants, which in turn uses a quadratic solver. This is a modification of the method proposed in Ref. [5]. Cayley-Menger Detereminants are used to introduce corrections to the noisy measu...

متن کامل

Simplices and Spectra of Graphs

I Let Tn be the set of congruence classes of simplices in Euclidean space E . The set Tn is an open manifold (also a semi-algebraic set) of dimension (n + 1)n/2. Coincidentally, a simplexT ∈ Tn is determined by the (n+1)n/2 lengths of its edges. Furthermore, the square of the volume of T ∈ Tn is a polynomial in the squares of the edgelengths. This polynomial is given by the Cayley-Me...

متن کامل

Point Configurations and Cayley-Menger Varieties

Equivalence classes of n-point configurations in Euclidean, Hermitian, and quaternionic spaces are related, respectively, to classical determinantal varieties of symmetric, general, and skew-symmetric bilinear forms. Cayley-Menger varieties arise in the Euclidean case, and have relevance for mechanical linkages, polygon spaces and rigidity theory. Applications include upper bounds for realizati...

متن کامل

Generating Edge-disjoint Sets of Quadruples in Parallel

Tightening interatomic distance bounds, obtained from NMR experiments, is a critical step in solving the molecular conformation problem. Tetrangle inequality (resulting from the Cayley-Menger determinant for the 3D embedding) is applied to quadruples of atoms in order to tighten the distance bounds. Complete graph Kn is used to model an n-atom molecule, where the nodes represent the atoms. Only...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009