Results 41 to 50 of about 3,958,691 (296)

Group averaging in the (p,q) oscillator representation of SL(2,R)

open access: yes, 1919
We investigate refined algebraic quantisation with group averaging in a finite-dimensional constrained Hamiltonian system that provides a simplified model of general relativity.
Alberto Molgado   +22 more
core   +2 more sources

On Fermat's equation over some quadratic imaginary number fields [PDF]

open access: yes, 2018
Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat's Last Theorem over $\mathbb Q(i)$. Under the same assumption, we also prove that, for all prime exponents $p \geq 5$, Fermat's equation $a^p+b^p+c^p=0$ does not have non-
Turcas, George
core   +2 more sources

Phase Coordinate System and p-q Theory Based Methods in Active Filtering Implementation

open access: yesAdvances in Electrical and Computer Engineering, 2013
This paper is oriented towards implementation of the main theories of powers in the compensating current generation stage of a three-phase three-wire shunt active power system.
POPESCU, M., BITOLEANU, A., SURU, V.
doaj   +1 more source

OPTIMAL TUNING OF PI-CONTROLLER OF SHUNT ACTIVE POWER FILTER FOR HARMONICS MITIGATION USING ENHANCED JUMPING SPIDER ALGORITHM [PDF]

open access: yesCarpathian Journal of Electrical Engineering, 2022
The increasing use of power electronic devices has resulted in harmonics that may cause in power systems overheating of equipment, poor power factor and voltage distortion.
Betrand N. ATANGA   +3 more
doaj  

Refined algebraic quantisation with the triangular subgroup of SL(2,R)

open access: yes, 2004
We investigate refined algebraic quantisation with group averaging in a constrained Hamiltonian system whose gauge group is the connected component of the lower triangular subgroup of SL(2,R). The unreduced phase space is T^*R^{p+q} with p>0 and q>0, and
ALBERTO MOLGADO   +19 more
core   +4 more sources

Multiple Positive Solutions for a Class of Boundary Value Problem of Fractional p,q-Difference Equations under p,q-Integral Boundary Conditions

open access: yesJournal of Mathematics, 2021
This paper is mainly concerned with a class of fractional p,q-difference equations under p,q-integral boundary conditions. Multiple positive solutions are established by using the topological degree theory and Krein–Rutman theorem.
Yongyang Liu, Yansheng Liu
doaj   +1 more source

On R4 threshold corrections in type IIB string theory and (p, q)-string instantons [PDF]

open access: yesNuclear Physics B, 1997
We obtain the exact non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribution of the D-instantons and of the (p,q)-string instantons. The invariance under U-duality is made manifest by rewriting
Kiritsis, Elias, Pioline, Boris
openaire   +3 more sources

Kazhdan--Lusztig-dual quantum group for logarithmic extensions of Virasoro minimal models

open access: yes, 2007
We derive and study a quantum group g(p,q) that is Kazhdan--Lusztig-dual to the W-algebra W(p,q) of the logarithmic (p,q) conformal field theory model. The algebra W(p,q) is generated by two currents $W^+(z)$ and $W^-(z)$ of dimension (2p-1)(2q-1), and ...
A. M. Gainutdinov   +7 more
core   +1 more source

Fourier multiplier theorems involving type and cotype [PDF]

open access: yes, 2017
In this paper we develop the theory of Fourier multiplier operators $T_{m}:L^{p}(\mathbb{R}^{d};X)\to L^{q}(\mathbb{R}^{d};Y)$, for Banach spaces $X$ and $Y$, $1\leq p\leq q\leq \infty$ and $m:\mathbb{R}^d\to \mathcal{L}(X,Y)$ an operator-valued symbol ...
Rozendaal, Jan, Veraar, Mark
core   +3 more sources

Non-hyperbolic 3-manifolds and 3D field theories for 2D Virasoro minimal models

open access: yesSciPost Physics
Using 3D-3D correspondence, we construct 3D dual bulk field theories for general Virasoro minimal models $M(P,Q)$. These theories correspond to Seifert fiber spaces $S^2 ((P,P-R),(Q,S),(3,1))$ with two integers $(R,S)$ satisfying $PS-QR =1$.
Dongmin Gang, Heesu Kang, Seongmin Kim
doaj   +1 more source

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