Full Implementation of Rank Dependent Prizes

Characterization of $2times 2$ full diversity space-time codes and inequivalent full rank spaces

‎In wireless communication systems‎, ‎space-time codes are applied to encode data when multiple antennas are used in the receiver and transmitter‎. ‎The concept of diversity is very crucial in designing space-time codes‎. ‎In this paper‎, ‎using the equivalent definition of full diversity space-time codes‎, ‎we first characterize all real and complex $2times 2$ rate one linear dispersion space-...

Full Rank Affine Invariant Submanifolds

Rank-Restricted Full Configuration Interaction

which is a linear combination of n-electron configurations, or determinants, with coefficients equal to c!. The components |Φ! form an orthonormal basis of the wavefunction. The determinants are the set of features that comprise the wavefunction, so we can optimize them by minimizing the electronic energy. To determine the energy of the wavefunction c, the Schrödinger equation in matrix form reads

Reconstruction of Full Rank Algebraic Branching Programs

An algebraic branching program (ABP) A can be modelled as a product expression X1 · X2 · · · · · Xd, where X1 and Xd are 1× w and w× 1 matrices respectively, and every other Xk is a w×w matrix; the entries of these matrices are linear forms in m variables over a field F (which we assume to be either Q or a field of characteristic poly(m)). The polynomial computed by A is the entry of the 1× 1 m...

Small P-Groups with Full-Rank Factorization

The problem of determining which abelian groups admit a full-rank normalized factorization is settled for the orders 64 = 26, 81 = 34, and 128 = 27. By a computer-aided approach, it is shown that such groups of these orders are exactly those of type (22, 22, 22), (22, 22, 2, 2), (23, 22, 22), (23, 22, 2, 2), (22, 22, 22, 2), and (22, 22, 2, 2, 2). Mathematics Subject Classification (2000): Prim...