Results 21 to 30 of about 387,244 (233)
Algebraic number theory and code design for Rayleigh fading channels [PDF]
Algebraic number theory is having an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems.
Oggier, F., Viterbo, E.
core +1 more source
Infinite Dimensional Free Algebra and the Forms of the Master Field [PDF]
We find an infinite dimensional free algebra which lives at large N in any SU(N)-invariant action or Hamiltonian theory of bosonic matrices. The natural basis of this algebra is a free-algebraic generalization of Chebyshev polynomials and the dual basis ...
C. SCHWARTZ +3 more
core +3 more sources
Time-dependent viscous fluid flow due to a stretchable rotating disk is investigated. Magnetic field is applied in vertical direction to the disk. Temperature equation is assisted with Joule heating effect.
Salman Ahmad +4 more
doaj +1 more source
Nontrivial Galois module structure of cyclotomic fields [PDF]
We say a tame Galois field extension $L/K$ with Galois group $G$ has trivial Galois module structure if the rings of integers have the property that $\Cal{O}_{L}$ is a free $\Cal{O}_{K}[G]$-module.
Conrad, Marc, Replogle, Daniel R.
core +5 more sources
On a theorem of Ax and Katz [PDF]
The well-known theorem of Ax and Katz gives a p-divisibility bound for the number of rational points on an algebraic variety V over a finite field of characteristic p in terms of the degree and number of variables of defining polynomials of V.
Zhu, Hui June
core +4 more sources
Isomorphisms of algebraic number fields [PDF]
Let ℚ(α) and ℚ(β) be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, ℚ(β)→ℚ(α). The algorithm is particularly efficient if there is only one isomorphism.
van Hoeij, Mark, Pal, Vivek
openaire +2 more sources
Bicyclic commutator quotients with one non-elementary component [PDF]
For any number field $K$ with non-elementary $3$-class group ${\rm Cl}_3(K)\simeq C_{3^e}\times C_3$, $e\ge2$, the punctured capitulation type $\varkappa(K)$ of $K$ in its unramified cyclic cubic extensions $L_i$, $1\le i\le4$, is an orbit under the ...
Daniel C. Mayer
doaj +1 more source
Tropical Effective Primary and Dual Nullstellens\"atze [PDF]
Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic
Grigoriev, Dima, Podolskii, Vladimir V.
core +3 more sources
The nilpotent structure of open-closed string field theory
In this note we revisit the homotopy-algebraic structure of oriented bosonic open-closed string field theory and we give a new compact formulation in terms of a single cyclic open-closed co-derivation which defines a single nilpotent structure describing
Carlo Maccaferri +2 more
doaj +1 more source
On the number of homotopy types of fibres of a definable map [PDF]
In this paper we prove a single exponential upper bound on the number of possible homotopy types of the fibres of a Pfaffian map, in terms of the format of its graph.
Basu, Saugata, Vorobjov, Nicolai
core +3 more sources

