Minimal Decomposition of Binary Forms with Respect to Tangential Projections
نویسندگان
چکیده
Let C ⊂ Pn be a rational normal curve and let `O : Pn+1 99K Pn be any tangential projection form a point O ∈ TAC where A ∈ C. In this paper we relate the minimum number r of addenda that are needed to write a binary form p of degree (n + 1) and defined over an algebraically closed field of characteristic zero as linear combination of (n+1)-th powers of linear binary forms L1, . . . , Lr, with the minimum number of addenda that are required to write `O(p) as linear combination of elements belonging to `O(C).
منابع مشابه
DISCRETE TOMOGRAPHY AND FUZZY INTEGER PROGRAMMING
We study the problem of reconstructing binary images from four projections data in a fuzzy environment. Given the uncertainly projections,w e want to find a binary image that respects as best as possible these projections. We provide an iterative algorithm based on fuzzy integer programming and linear membership functions.
متن کاملVarieties of Simultaneous Sums of Powers for binary forms
The problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the space parametrizing all the possible decompositions is described. These results are applied to the study of rational curves.
متن کاملThree - Sphere Rotations and The
We describe decomposition formulas for rotations of R 3 and R 4 that have special properties with respect to stereographic projection. We use the lower dimensional decomposition to analyze stereographic projections of great circles in S 2 R 3. This analysis provides a pattern for our analysis of stereographic projections of the Cliiord torus C S 3 R 4. We use the higher dimensional decompositio...
متن کامل5 O ct 1 99 8 Rotations of the three - sphere and symmetry of the Clifford Torus
We describe decomposition formulas for rotations of R and R that have special properties with respect to stereographic projection. We use the lower dimensional decomposition to analyze stereographic projections of great circles in S ⊂ R. This analysis provides a pattern for our analysis of stereographic projections of the Clifford torus C ⊂ S ⊂ R. We use the higher dimensional decomposition to ...
متن کاملFiltering Decompositions with Respect to Adaptive Test Vectors
The adaptive ltering decompositions are based on the tangential frequency ltering decompositions (TFFD). During the iteration with a preliminary preconditioner, the adaptive test vector method calculates new test vectors for additional TFFDs. The adaptive test vector iterative method allows the combination of the tangential frequency decomposition and other iterative methods such as multi-grid....
متن کامل