SSpG: A strongly orthogonal geminal method with relaxed strong orthogonality

2014 ◽  
Vol 141 (16) ◽  
pp. 164112 ◽  
Author(s):  
Brett A. Cagg ◽  
Vitaly A. Rassolov
Keyword(s):  
Strong Orthogonality

The density matrix in may-electron quantum mechanics III. Generalized product functions for beryllium and four-electron ions

1963 ◽  
Vol 273 (1352) ◽  
pp. 103-116 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Density Matrix ◽  
Orthogonal Group ◽  
Electron Quantum ◽  
Group Functions ◽  
Strong Orthogonality

The theory of generalized product functions is extended to non-orthogonal group functions in the case of two groups. Calculations on beryllium and on some four-electron ions are based on such group functions, and are compared with similar calculations using orthogonal group functions. I t is shown that, in the case of the systems examined, the strong orthogonality restriction is not severe.

Dynamic Instability Characteristics of Thin Plate Like Beam with Internal Damage Subjected to Follower Load

2015 ◽  
Vol 15 (03) ◽  
pp. 1450048 ◽  
Author(s):  
Subramani Karthick ◽  
Prosun Kumar Datta
Keyword(s):  
Finite Element ◽  
Dynamic Instability ◽  
Follower Load ◽  
Laminated Plate ◽  
Beam Structure ◽  
Internal Damage ◽  
Finite Element Approach ◽  
Stability Behavior ◽  
Element Approach ◽  
Strong Orthogonality

This study investigates the vibration, buckling and dynamic instability characteristics of damaged cross-ply and angle-ply laminated plate like beam under follower loading using the finite element approach. The damage is anisotropic in nature and parametrically incorporated into the composite using the concept of reduction in stiffness. It has been observed that damage shows a strong orthogonality and in general deteriorates the vibration and buckling characteristics. For follower type of loading, analysis is carried out on plate like beam structure to obtain the flutter characteristics. The effects of damage and its location on flutter characteristics are studied. The desirable position of damage on the plate like beam structure based on different stability behavior is discussed. The results show that flutter is observed as primary modes of instability when damaged plate like beam is subjected to follower loads. The behavior of flutter characteristics for different damaged parameters is discussed.

Cloning in C*-Algebras

2016 ◽  
Vol 60 (3) ◽  
pp. 689-705 ◽  
Author(s):  
Krzysztof Kaniowski ◽  
Katarzyna Lubnauer ◽  
Andrzej Łuczak
Keyword(s):  
C Algebras ◽  
Strong Orthogonality

AbstractCloneable sets of states in C*-algebras are characterized in terms of strong orthogonality of states. Moreover, the relation between strong cloning and distinguishability of states is investigated together with some additional properties of strong cloning in abelian C*-algebras.

scholarly journals Functional connectivity models for decoding of spatial representations from hippocampal CA1 recordings

2016 ◽  
Author(s):  
Lorenzo Posani ◽  
Simona Cocco ◽  
Karel Jezek ◽  
Rémi Monasson
Keyword(s):  
Functional Connectivity ◽  
Spatial Representation ◽  
Positional Information ◽  
High Temporal Resolution ◽  
Spatial Representations ◽  
Hippocampal Activity ◽  
Hippocampal Ca1 ◽  
Pairwise Correlations ◽  
Strong Orthogonality ◽  
Analyze Data

AbstractHippocampus stores spatial representations, or maps, which are recalled each time a subject is placed in the corresponding environment. Across different environments of similar geometry, these representations show strong orthogonality in CA3 of hippocampus, whereas in the CA1 subfield a considerable overlap between the maps can be seen. The lower orthogonality decreases reliability of various decoders developed in an attempt to identify which of the stored maps is active at the mo-ment. Especially, the problem with decoding emerges with a need to analyze data at high temporal resolution. Here, we introduce a functional-connectivity-based de-coder, which accounts for the pairwise correlations between the spiking activities of neurons in each map and does not require any positional information, i.e. any knowledge about place fields. We first show, on recordings of hippocampal activity in constant environmental conditions, that our decoder outperforms existing decoding methods in CA1. Our decoder is then applied to data from teleportation experiments, in which an instantaneous switch between the environment identity triggers a recall of the corresponding spatial representation. We test the sensitivity of our approach on the transition dynamics between the respective memory states (maps). We find that the rate of spontaneous state shifts (flickering) after a teleportation event is increased not only within the first few seconds as already reported, but this instability is sustained across much longer (> 1 min.) periods.

scholarly journals An AGI Modifying Its Utility Function in Violation of the Strong Orthogonality Thesis

Philosophies ◽  
2020 ◽  
Vol 5 (4) ◽  
pp. 40
Author(s):  
James D. Miller ◽  
Roman Yampolskiy ◽  
Olle Häggström
Keyword(s):  
Game Theory ◽  
Utility Function ◽  
General Intelligence ◽  
Artificial General Intelligence ◽  
Competitive Environments ◽  
Partially Observable ◽  
Strong Orthogonality

An artificial general intelligence (AGI) might have an instrumental drive to modify its utility function to improve its ability to cooperate, bargain, promise, threaten, and resist and engage in blackmail. Such an AGI would necessarily have a utility function that was at least partially observable and that was influenced by how other agents chose to interact with it. This instrumental drive would conflict with the strong orthogonality thesis since the modifications would be influenced by the AGI’s intelligence. AGIs in highly competitive environments might converge to having nearly the same utility function, one optimized to favorably influencing other agents through game theory. Nothing in our analysis weakens arguments concerning the risks of AGI.

scholarly journals Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms

2014 ◽  
Vol 150 (5) ◽  
pp. 763-797 ◽  
Author(s):  
Étienne Fouvry ◽  
Satadal Ganguly
Keyword(s):  
Real Number ◽  
Fourier Coefficient ◽  
Cusp Form ◽  
Fourier Coefficients ◽  
Möbius Function ◽  
Cusp Forms ◽  
Mobius Function ◽  
Maass Cusp Form ◽  
Strong Orthogonality

AbstractLet$\nu _{f}(n)$be the$n\mathrm{th}$normalized Fourier coefficient of a Hecke–Maass cusp form$f$for${\rm SL }(2,\mathbb{Z})$and let$\alpha $be a real number. We prove strong oscillations of the argument of$\nu _{f}(n)\mu (n) \exp (2\pi i n \alpha )$as$n$takes consecutive integral values.

Sign in / Sign up

Export Citation Format

Share Document