Results 121 to 130 of about 21,477 (310)

On power basis of a class of algebraic number fields

, 2016
Let K=Q(θ) be an algebraic number field with θ in the ring AK of algebraic integers of K and F(x) be the minimal polynomial of θ over the field Q of rational numbers.
Jhorar, Bablesh, Khanduja, Sudesh K.
core   +1 more source

Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements [PDF]

, 2011
We describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Borel-Moore homology.
Ko-Ki Ito, Masahiko Yoshinaga, Ito, Ko-Ki, Yoshinaga, Masahiko   +3 more
core   +1 more source

Long‐Range Interactions in Topological Superconducting Systems: A Mini Review

Advanced Physics Research, EarlyView.
Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley   +1 more source

Squeezed‐Vacuum Bosonic Codes

Advanced Physics Research, EarlyView.
ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman, Eliya Blumenthal, Shay Hacohen‐Gourgy, Ariel Orda, Ido Kaminer   +4 more
wiley   +1 more source

A MapReduce-based Adjoint method for preventing brain disease

Journal of Big Data, 2018
In this paper, we present a statistical model performed on the basis of a patient dataset. This model predicts efficiently the brain disease risk. Multiple regression was used to build the statistical model.
Manal Zettam, Jalal Laassiri, Nourddine Enneya   +2 more
doaj   +1 more source

An Algorithm for Computing an Integral Basis in an Algebraic Function Field

, 1994
Algorithms for computing integral bases of an algebraic function field are implemented in some computer algebra systems. They are used e.g. for the integration of algebraic functions.
van Hoeij, Mark, Hoeij, M.H.F. van
core   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source

Algebraic attacks from a Gröbner Basis Perspective [PDF]

, 2004
Recently, a special kind of cryptanalysis coined as the algebraic attack has gained a lot of attention. In this thesis, we clarify this attack and discuss the threat to common ciphers.
A. J. M. Segers, Segers, AJM Toon, Segers, A.J.M.   +2 more
core  

Real-Time Trajectory Generation for Constrained Nonlinear Dynamical Systems Using Non-Uniform Rational B-Spline Basis Functions

, 2008
The thesis describes a new method for obtaining minimizers for optimal control problems whose minima serve as control policies for guiding nonlinear dynamical systems to achieve prescribed goals under imposed trajectory and actuator constraints.
Flores Contreras, Melvin Estuardo
core   +1 more source

Finite-dimensional Schwinger basis, deformed symmetries, Wigner function, and an algebraic approach to quantum phase [PDF]

, 1998
Schwinger's finite (D) dimensional periodic Hilbert space representations are studied on the toroidal lattice ℤD × ℤD with specific emphasis on the deformed oscillator subalgebras and the generalized representations of the Wigner function.
Hakioğlu, Tuğrul
core   +1 more source