scholarly journals Companion Linear Functionals and Sobolev Inner Products: A Case Study

2004 ◽  
Vol 11 (2) ◽  
pp. 237-266 ◽  
Author(s):  
Antonia M. Delgado ◽  
Francisco Marcellan
Keyword(s):  
Linear Functionals ◽  
Inner Products ◽  
Sobolev Inner Products

scholarly journals On computational aspects of discrete Sobolev inner products on the unit circle

2013 ◽  
Vol 223 ◽  
pp. 452-460 ◽  
Author(s):  
Kenier Castillo ◽  
Lino G. Garza ◽  
Francisco Marcellán
Keyword(s):  
Unit Circle ◽  
Inner Products ◽  
Computational Aspects ◽  
Sobolev Inner Products

scholarly journals Continuous symmetrized Sobolev inner products of order N (I)

2005 ◽  
Vol 306 (1) ◽  
pp. 83-96 ◽  
Author(s):  
M. Isabel Bueno ◽  
Francisco Marcellán ◽  
Jorge Sánchez-Ruiz
Keyword(s):  
Inner Products ◽  
Sobolev Inner Products

scholarly journals On polynomials orthogonal with respect to certain Sobolev inner products

1991 ◽  
Vol 65 (2) ◽  
pp. 151-175 ◽  
Author(s):  
A Iserles ◽  
P.E Koch ◽  
S.P Nørsett ◽  
J.M Sanz-Serna
Keyword(s):  
Inner Products ◽  
Sobolev Inner Products

scholarly journals Sobolev Gradients for the Möbius Energy

2021 ◽  
Author(s):  
Philipp Reiter ◽  
Henrik Schumacher
Keyword(s):  
Optimization Methods ◽  
Inner Product ◽  
Stationary Points ◽  
Inner Products ◽  
Sobolev Gradients ◽  
Gradient Based ◽  
Standard Techniques ◽  
Sobolev Inner Products

AbstractAiming to optimize the shape of closed embedded curves within prescribed isotopy classes, we use a gradient-based approach to approximate stationary points of the Möbius energy. The gradients are computed with respect to Sobolev inner products similar to the $$W^{3/2,2}$$ W 3 / 2 , 2 -inner product. This leads to optimization methods that are significantly more efficient and robust than standard techniques based on $$L^2$$ L 2 -gradients.

scholarly journals Boundedness properties for Sobolev inner products

2003 ◽  
Vol 122 (1) ◽  
pp. 97-111 ◽  
Author(s):  
M. Castro ◽  
A.J. Durán
Keyword(s):  
Inner Products ◽  
Sobolev Inner Products

scholarly journals Discrete-Continuous Symmetrized Sobolev Inner Products

2004 ◽  
Vol 82 (3) ◽  
pp. 309-331 ◽  
Author(s):  
María Isabel Bueno ◽  
Kil H. Kwon ◽  
Francisco Marcellán
Keyword(s):  
Inner Products ◽  
Sobolev Inner Products

The Genesis and Internal Dynamics of El Salvador's People's Revolutionary Army, 1970–1976

2014 ◽  
Vol 38 (01) ◽  
pp. 102-129
Author(s):  
ALBERTO MARTÍN ÁLVAREZ ◽  
EUDALD CORTINA ORERO
Keyword(s):  
Latin America ◽  
El Salvador ◽  
Early Years ◽  
Left Wing ◽  
Internal Dynamics ◽  
Internal Coherence ◽  
The 1960S

AbstractUsing interviews with former militants and previously unpublished documents, this article traces the genesis and internal dynamics of the Ejército Revolucionario del Pueblo (People's Revolutionary Army, ERP) in El Salvador during the early years of its existence (1970–6). This period was marked by the inability of the ERP to maintain internal coherence or any consensus on revolutionary strategy, which led to a series of splits and internal fights over control of the organisation. The evidence marshalled in this case study sheds new light on the origins of the armed Salvadorean Left and thus contributes to a wider understanding of the processes of formation and internal dynamics of armed left-wing groups that emerged from the 1960s onwards in Latin America.

Culture and the plasticity of perception

2020 ◽  
Vol 43 ◽  
Author(s):  
Michael Lifshitz ◽  
T. M. Luhrmann
Keyword(s):  
Cultural Context ◽  
Sensory Experience ◽  
Cultural Learning ◽  
The World

Abstract Culture shapes our basic sensory experience of the world. This is particularly striking in the study of religion and psychosis, where we and others have shown that cultural context determines both the structure and content of hallucination-like events. The cultural shaping of hallucinations may provide a rich case-study for linking cultural learning with emerging prediction-based models of perception.

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