Results 41 to 50 of about 35,567 (199)

Revisiting the Hansen Problem: A Geometric Algebra Approach

Mathematics
The Hansen problem is a classic and well-known geometric challenge in geodesy and surveying involving the determination of two unknown points relative to two known reference locations using angular measurements.
Jorge Ventura, Fernando Martinez, Isiah Zaplana, Ahmad Hosny Eid, Francisco G. Montoya, James Smith   +5 more
doaj   +1 more source

Local Control of (4,5,7,8-10)-Filtration Snake Robot via CGA

Mendel, 2017
We describe the local control of a (6{8){link snake like robot endowed with omnidirectional wheels on two links (head and tail). All calculations including the position, direct kinematics, di erential kinematics and inverse kinematics are described in ...
Jaroslav Hrdina, Ales Navrat, Petr Vasik, Radomil Matousek   +3 more
doaj   +1 more source

Unification of the General Non-Linear Sigma Model and the Virasoro Master Equation [PDF]

, 1997
The Virasoro master equation describes a large set of conformal field theories known as the affine-Virasoro constructions, in the operator algebra (affine Lie algebra) of the WZW model, while the Einstein equations of the general non-linear sigma model ...
de Boer, J., Halpern, M. B.
core   +2 more sources

Duality constructions from quantum state manifolds [PDF]

, 2015
The formalism of quantum state space geometry on manifolds of generalised coherent states is proposed as a natural setting for the construction of geometric dual descriptions of non-relativistic quantum systems.
Kriel, J. N., Scholtz, F. G., van Zyl, H. J. R.   +2 more
core   +2 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Geometric Error Modeling of 3-DOF Planar Parallel Manipulators Using Conformal Geometric Algebra

Machines
This paper proposes a geometrically intuitive error modeling method for planar parallel mechanisms (PPMs) based on conformal geometric algebra (CGA). First, the end point of each limb is determined through rotational transformations in geometric algebra.
Huijing Yao, Chenxin Tang, Xinxue Chai
doaj   +1 more source

Quantum State‐Resolved Photodissociation Dynamics Study of Transition‐Metal Carbonyl and Nitrosyl

The Chemical Record, EarlyView.
State‐resolved scattering measurements provide experimental visualization of nuclear motions in reacting molecules. Carbonyls and nitrosyls are typical ligands in most of the transition‐metal complexes, which undergo dissociation upon visible and ultraviolet photoexcitation.
Keigo Nagamori, Hiroyuki Nakata, Hiroshi Kohguchi   +2 more
wiley   +1 more source

Multiple Schramm-Loewner evolutions for conformal field theories with Lie algebra symmetries

, 2012
We provide multiple Schramm-Loewner evolutions (SLEs) to describe the scaling limit of multiple interfaces in critical lattice models possessing Lie algebra symmetries.
Alekseev, Bauer, Bauer, Bauer, Bauer, Bauer, Bauer, Bauer, Belavin, Bettelheim, Cardy, Cardy, Cardy, Di Francesco, Dubédat, Friedrich, Friedrich, Graham, Gruzberg, Kager, Kazumitsu Sakai, Knizhnik, Kozdron, Kozdron, Lawler, Nagi, Nazarov, Nazarov, Novikov, Rasmussen, Rasmussen, Rasmussen, Rohde, Santachiara, Schramm, Smirnov, Werner, Witten   +37 more
core   +1 more source

An Improved Fast Computational Method for Vibration Characteristic Analysis of Dry‐Type Iron Core Reactor

High Voltage, EarlyView.
ABSTRACT Structural mechanics field simulation plays a critical role in the vibration characteristic analysis of electrical equipment. Existing structural field analysis of equipment based on numerical simulation faces challenges such as convergence difficulties and prolonged computational time, failing to meet the demand for real‐time prediction of ...
Wanqing Wang, Caibo Liao, Bang Liu, Kai Li, Wenyu Liu, Zhaoguo Li, Xianfa Tian   +6 more
wiley   +1 more source

Limits and Degenerations of Unitary Conformal Field Theories

, 2003
In the present paper, degeneration phenomena in conformal field theories are studied. For this purpose, a notion of convergent sequences of CFTs is introduced.
Brungs, Capelli, Cheeger, Cheeger, Connes, Connes, Daniel Roggenkamp, Dijkgraaf, Dijkgraaf, Fredenhagen, Fuchs, Förste, Gaberdiel, Gaberdiel, Gawedzki, Gross, Kadanoff, Katrin Wendland, Maldacena, Moore, Nahm, Rennie, Runkel, Vafa, Zamolodchikov, Zamolodchikov, Zhu   +26 more
core   +1 more source