Results 121 to 130 of about 3,137,062 (349)
A reciprocity law for prime geodesics
AbstractWe continue the study begun by Sarnak of closed geodesics on Γ⧹H, Γ the modular group. A closed geodesic p corresponds to a hyperbolic conjugacy class {γ} in Γ, and an eigenvalue ε of an element of this class determines a real quadratic field Q(ε). On the other hand, a prime integer q determines a covering surface Γ0(q)⧹H of Γ⧹H.
openaire +2 more sources
The classical reciprocity law for power residues as an analog of the Abelian integral theorem
A formula for power residue symbols is deduced, which can be treated as an analog of the Abelian integral theorem for number fields. §0. Introduction It was Leopold Kronecker who first understood that there is a deep relationship between algebraic ...
S. Vostokov
semanticscholar +1 more source
To tackle the challenge of parameter estimation in dynamic human–robot interaction, this research proposes a novel method that integrates a disturbance observer with Kalman filtering. In contrast to conventional techniques, this approach facilitates the simultaneous real‐time estimation of human wrench and object parameters, offering significantly ...
Minghao Bai+5 more
wiley +1 more source
Reconstrucción de la justicia contractual desde la justicia relacional
La visión reduccionista del fenómeno contractual, propia de los códigos civiles y del classical contract law, se produce como consecuencia de un desenfoque que, sobrevalorando el acuerdo de voluntades, minusvalora el intercambio.
Rocío Caro Gándara
doaj
Arithmetic Central Extensions and Reciprocity Laws for Arithmetic Surface [PDF]
Three types of reciprocity laws for arithmetic surfaces are established. For these around a point or along a vertical curve, we first construct $K_2$ type central extensions, then introduce reciprocity symbols, and finally prove the law as an application of Parshin-Beilinson's theory of adelic complex.
arxiv
An explicit version of Shimura's reciprocity law for Siegel modular functions
We give an explicit version of Shimura's reciprocity law for singular values of Siegel modular functions. We use this to construct the first examples of class invariants of quartic CM fields that are smaller than Igusa invariants.Comment: 21 ...
Streng, Marco
core
Laws of Reciprocity and the First Case of Fermat's Last Theorem [PDF]
H. S. Vandiver
openalex +1 more source
Implementation of a Biologically Inspired Responsive Joint Attention System for a Social Robot
This work introduces a responsive joint attention system in the social robot Mini, enabling dynamic, human‐like responses based on the user's head, body, and gaze. The system enhances user engagement and robot responsiveness. An experiment reveals significant improvements in social presence when the system is active, validating its effectiveness in ...
Jesús García‐Martínez+4 more
wiley +1 more source
The Logic of Reciprocity: Trust, Collective Action, and Law [PDF]
Dan M. Kahan
+4 more sources