scholarly journals Equality and Freedom as Uncertainty in Groups

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1384
Author(s):  
Jesse Hoey
Keyword(s):  
Free Energy ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Dual Process ◽  
Sweet Spot ◽  
Individual Agent ◽  
Minimal Free Energy ◽  
Bayesian Hierarchical ◽  
Capacity Model ◽  
The Individual

In this paper, I investigate a connection between a common characterisation of freedom and how uncertainty is managed in a Bayesian hierarchical model. To do this, I consider a distributed factorization of a group’s optimization of free energy, in which each agent is attempting to align with the group and with its own model. I show how this can lead to equilibria for groups, defined by the capacity of the model being used, essentially how many different datasets it can handle. In particular, I show that there is a “sweet spot” in the capacity of a normal model in each agent’s decentralized optimization, and that this “sweet spot” corresponds to minimal free energy for the group. At the sweet spot, an agent can predict what the group will do and the group is not surprised by the agent. However, there is an asymmetry. A higher capacity model for an agent makes it harder for the individual to learn, as there are more parameters. Simultaneously, a higher capacity model for the group, implemented as a higher capacity model for each member agent, makes it easier for a group to integrate a new member. To optimize for a group of agents then requires one to make a trade-off in capacity, as each individual agent seeks to decrease capacity, but there is pressure from the group to increase capacity of all members. This pressure exists because as individual agent’s capacities are reduced, so too are their abilities to model other agents, and thereby to establish pro-social behavioural patterns. I then consider a basic two-level (dual process) Bayesian model of social reasoning and a set of three parameters of capacity that are required to implement such a model. Considering these three capacities as dependent elements in a free energy minimization for a group leads to a “sweet surface” in a three-dimensional space defining the triplet of parameters that each agent must use should they hope to minimize free energy as a group. Finally, I relate these three parameters to three notions of freedom and equality in human social organization, and postulate a correspondence between freedom and model capacity. That is, models with higher capacity, have more freedom as they can interact with more datasets.

Effect of EPS on biofilm structure and function as revealed by an individual-based model of biofilm growth

2001 ◽  
Vol 43 (6) ◽  
pp. 135-135 ◽  
Author(s):  
J.-U. Kreft ◽  
J. W. Wimpenny
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Structure And Function ◽  
Individual Based Model ◽  
Biofilm Growth ◽  
Rate Dependent ◽  
Binding Forces ◽  
The Individual ◽  
And Function ◽  
Biofilm Structure

We have simulated a nitrifying biofilm with one ammonia and one nitrite oxidising species in order to elucidate the effect of various extracellular polymeric substance (EPS) production scenarios on biofilm structure and function. The individual-based model (IbM) BacSim simulates diffusion of all substrates on a two-dimensional lattice. Each bacterium is individually simulated as a sphere of given size in a continuous, three-dimensional space. EPS production kinetics was described by a growth rate dependent and an independent term (Luedeking-Piret equation). The structure of the biofilm was dramatically influenced by EPS production or capsule formation. EPS production decreased growth of producers and stimulated growth of non-producers because of the energy cost involved. For the same reason, EPS accumulation can fall as its rate of production increases. The patchiness and roughness of the biofilm decreased and the porosity increased due to EPS production. EPS density was maximal in the middle of the vertical profile. Introduction of binding forces between like cells increased clustering.

A new classification of solvents based on chemometric empirical scale of parameters

1990 ◽  
Vol 55 (3) ◽  
pp. 644-652 ◽  
Author(s):  
Oldřich Pytela
Keyword(s):  
Causal Relation ◽  
Carbon Disulphide ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Solvent Polarity ◽  
Clustering Methods ◽  
Hexamethylphosphoric Triamide ◽  
Centroid Method ◽  
The Individual

The paper presents a classification of 51 solvents based on clustering in three-dimensional space formed by the empirical scale of PAC, PBC, and PPC parameters designed for interpretation of solvent effect on a model with cross-terms. For the classification used are the clustering methods of the nearest neighbour, of the furthest neighbour, of average bond, and the centroid method. As a result, the solvents have been divided into 8 classes denoted as: I - nonpolar-inert solvents (aliphatic hydrocarbons), IIp - nonpolar-polarizable (aromatic hydrocarbons, tetrachloromethane, carbon disulphide), IIb - nonpolar-basic (ethers, triethylamine), IIIp - little polar-polarizable (aliphatic halogen derivatives, substituted benzenes with heteroatom-containing substituents), IIIb - little polar-basic (cyclic ethers, ketones, esters, pyridine), IVa - polar-aprotic (acetanhydride, dialkylamides, acetonitrile, nitromethane, dimethyl sulfoxide, sulfolane), IVp - polar-protic (alcohols, acetic acid), and V - exceptional solvents (water, formamide, glycol, hexamethylphosphoric triamide). The information content of the individual parameters used for the classification has been determined. The classification is based primarily on solvent polarity/acidity (PAC), less on polarity/basicity (PBC), and the least on polarity/polarizability (PPC). Causal relation between chemical structure of solvent and its effect on the process taking place therein has been established.

Comparison Between Healthy and Reduced Hand Function Using Ranges of Motion and a Weighted Fingertip Space Model

2015 ◽  
Vol 137 (4) ◽  
Author(s):  
Samuel T. Leitkam ◽  
Tamara Reid Bush
Keyword(s):  
Dimensional Space ◽  
Hand Function ◽  
Three Dimensional ◽  
Loss Of Function ◽  
Healthy Individuals ◽  
Model Calculations ◽  
Hand Model ◽  
Functional Models ◽  
Distal Interphalangeal ◽  
The Individual

Detection and quantification of changes in hand function are important for patients with loss of function and clinicians who are treating them. A recently developed model, the weighted fingertip space (WFS) quantifies the hand function of individuals in three-dimensional space and applies kinematic weighting parameters to identify regions of reachable space with high and low hand function. The goal of this research was to use the WFS model to compare and contrast the functional abilities of healthy individuals with the abilities of individuals with reduced functionality due to arthritis (RFA). Twenty two individuals with no reported issues with hand function and 21 individuals with arthritis affecting the hand were included in the research. Functional models were calculated from the ranges of motion and hand dimension data for each individual. Each model showed the volume of reachable space for each fingertip of each hand, the number of ways to reach a point in space, the range of fingertip orientations possible at each point, and the range of possible force application directions (FADs) at each point. In addition, two group models were developed that showed how many individuals in both the healthy and RFA groups were able to reach the same points in space. The results showed differences between the two groups for the range of motion (ROM) measurements, the individual model calculations, and the group models. The ROM measurements showed significant differences for the joints of the thumb, extension of the nonthumb metacarpophalangeal (MCP) joints, and flexion of the distal interphalangeal (DIP) joints. Comparing the models, the two groups qualitatively showed similar patterns of functional measures in space, but with the RFA group able to reach a smaller volume of space. Quantitatively, the RFA group showed trends of smaller values for all of the calculated functional weighting parameters and significantly smaller reachable volume for all of the fingers. The group models showed that all healthy individuals were able to reach an overlapping space, while 18 of 21 RFA individuals were able to reach similar spaces. Combined, the results showed that the WFS model presents the abilities of the hand in ways that can be quantitatively and qualitatively compared. Thus, the potential of this hand model is that it could be used to assess and document the changes that occur in hand function due to rehabilitation or surgery, or as a guide to determine areas most accessible by various populations.

Adaptations for Controlled Hand Movements in Duchenne’s Muscular Dystrophy

2003 ◽  
Author(s):  
Roscoe C. Bowen ◽  
Rami Seliktar ◽  
Tariq Rahman ◽  
Michael Alexander ◽  
Mena Scavina
Keyword(s):  
Muscular Dystrophy ◽  
Velocity Profile ◽  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Acceleration And Deceleration ◽  
Robotic Orthosis ◽  
The Individual ◽  
Duchenne's Muscular Dystrophy ◽  
Three Dimensional Space

A number of neuropathologies such as Duchenne’s muscular dystrophy (DMD), cause disability in the upper extremity due to the loss of muscle strength. This will eventually prevent the individual from moving their arms in three-dimensional space so it has been proposed that a robotic orthosis could support and augment movement. This orthosis would need to accommodate the movement capabilities of the user. To accomplish this, knowledge of how movements are formed and controlled in the presence of neuromuscular disease needs to be determined. While the arm was supported in a floatation device, DMD subjects were asked to make pointing movements to several targets in the transverse plane. This was done from two start positions while torso movement was constrained and unconstrained. The hand trajectories formed while the torso was constrained were essentially straight but at a cost to the uni-modality of the hand velocity profile. In this configuration the velocity profile contains several phases of acceleration and deceleration producing a multi-modal profile. However, the additional degrees of freedom introduced in the unconstrained torso configuration were employed is such a manner as to produce a smooth uni-modal hand velocity profile.

ADVANCED VIRTUAL ENDOSCOPY FORENDOSCOPIC TRANSSPHENOIDAL PITUITARY SURGERY

Neurosurgery ◽  
2006 ◽  
Vol 59 (5) ◽  
pp. 1001-1010 ◽  
Author(s):  
Stefan Wolfsberger ◽  
André Neubauer ◽  
Katja Bühler ◽  
Rainer Wegenkittl ◽  
Thomas Czech ◽  
...  
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Virtual Endoscopy ◽  
Image Data ◽  
Pituitary Surgery ◽  
Anatomical Variations ◽  
Anatomical Landmarks ◽  
Transsphenoidal Pituitary Surgery ◽  
The Individual ◽  
Anatomical Space

Abstract OBJECTIVE Virtual endoscopy (vE) is the navigation of a camera through a virtual anatomical space that is computationally reconstructed from radiological image data. Inside this three-dimensional space, arbitrary movements and adaptations of viewing parameters are possible. Thereby, vE can be used for noninvasive diagnostic purposes and for simulation of surgical tasks. This article describes the development of an advanced system of vE for endoscopic transsphenoidal pituitary surgery and its application to teaching, training, and in the routine clinical setting. METHODS The vE system was applied to a series of 35 patients with pituitary pathology (32 adenomas, three Rathke's cleft cysts) operated endoscopically via the transsphenoidal route at the Department of Neurosurgery of the Medical University Vienna between 2004 and 2006. RESULTS The virtual endoscopic images correlated well with the intraoperative view. For the transsphenoidal approach, vE improved intraoperative orientation by depicting anatomical landmarks and variations. For planning a safe and tailored opening of the sellar floor, transparent visualization of the pituitary adenoma and the normal gland in relation to the internal carotid arteries was useful. CONCLUSION According to our experience, vE can be a valuable tool for endoscopic transsphenoidal pituitary surgery for training purposes and preoperative planning. For the novice, it can act as a simulator for endoscopic anatomy and for training surgical tasks. For the experienced pituitary surgeon, vE can depict the individual patient's anatomy, and may, therefore, improve intraoperative orientation. By prospectively visualizing unpredictable anatomical variations, vE may increase the safety of this surgical procedure.

B4/32Ga28/32Sb10/32As22/32 Three-Dimensional Semiconductor Superlattice

2021 ◽  
Author(s):  
Viacheslav Elyukhin ◽  
Ramon Peña Sierra
Keyword(s):  
Free Energy ◽  
Self Assembly ◽  
Strain Energy ◽  
Three Dimensional ◽  
Semiconductor Alloys ◽  
X Ray Diffraction ◽  
Minimal Free Energy ◽  
X Ray ◽  
Semiconductor Superlattice ◽  
Semiconductor Alloy

Abstract Self-assembly of BD -rich A x B 1-x C y D 1-y was studied for a lot of semiconductor alloys. An occurrence of identical clustersshould be due to a decrease of the bond energy, internal strain energy or both of them. An arrangement of the clusters is disordered since the contents of minority atoms are in the dilute or ultra dilute limits in the considered alloys. B 4/32 Ga 28/32 Sb 10/32 As 22/32 semiconductor alloy with the three-dimensional superlattice is presented. This superlattice should be stable against disordering due to its minimal free energy. The superlattice forms by the identical cubic units consisting of 64 atoms and is the three-dimensional semiconductor soft X-ray diffraction grating.

scholarly journals The Hanging Garlands of Pompeii: Mimetic Acts of Ancient Lived Religion

Arts ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 65 ◽  
Author(s):  
Dylan Rogers
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Religious Practice ◽  
Lived Religion ◽  
Religious Experiences ◽  
Daily Lives ◽  
Domestic Spaces ◽  
Painted Surface ◽  
Roman Painting ◽  
The Individual

Roman painting is full of items associated with religious practice. Garlands, in particular, are found represented in Roman frescoes, often draped over different panels to enliven the painted surface with the semblance of abundant fresh flowers. There are indications, however, that in Roman domestic spaces, latrines, and streets, physical garlands were actually attached to the frescoes as votive offerings that mimic the painted garlands behind them. This paper considers how Roman paintings worked in tandem with garlands and other physical objects, and how Pompeiians engaged in mimetic acts. The two-dimensional painted surface depicting “mimetic votives” should be viewed within a three-dimensional space inhabited by people and objects. The mimetic act of hanging a garland was part of ancient lived religion, and, as such, enables us to examine past religious experiences, focusing on the individual and communication with the divine. The relationship between these various visual media would have created unique experiences in the daily lives of ancient Romans that are rarely considered today.

scholarly journals Individual Universes of the Multiverse

2017 ◽  
Vol 2 (9) ◽  
pp. 17
Author(s):  
Szalay Istvan
Keyword(s):  
Mathematical Model ◽  
Infinite Number ◽  
Coordinate Transformation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
The Individual ◽  
Three Dimensional Space

Using exploded numbers we consider the exploded three-dimensional space as a mathematical model of the Multiverse. Our universe is only one among the infinite number three-dimensional individual universes of the Multiverse. We introduce the concept of box – phenomenon of objects outsize our universe. Applying a shift coordinate transformation we investigate the shifted box – phenomenon and show certain parts of objects in the Multiverse selected from in different individual universes. Among others we show that the same part of a given object yields different views depending on the individual universes. Moreover, we give a measure of distance concerning the Multiverse. Finalliy, we mention the super – distance of different individual universes.

Three Dimensional structure and organization of diploid chromosomes by optical section microscopy

1987 ◽  
Vol 45 ◽  
pp. 633-635
Author(s):  
David A. Agard ◽  
Yasushi Hiraoka ◽  
John W. Sedat
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Developmental State ◽  
Mitotic Cell ◽  
Biological Properties ◽  
Dimensional Structure ◽  
Specific Gene ◽  
Three Dimensional Structure ◽  
Complementary Techniques ◽  
Dynamic Structures

In an effort to understand the complex relationship between structure and biological function within the nucleus, we have embarked on a program to examine the three-dimensional structure and organization of Drosophila melanogaster embryonic chromosomes. Our overall goal is to determine how DNA and proteins are organized into complex and highly dynamic structures (chromosomes) and how these chromosomes are arranged in three dimensional space within the cell nucleus. Futher, we hope to be able to correlate structual data with such fundamental biological properties as stage in the mitotic cell cycle, developmental state and transcription at specific gene loci.Towards this end, we have been developing methodologies for the three-dimensional analysis of non-crystalline biological specimens using optical and electron microscopy. We feel that the combination of these two complementary techniques allows an unprecedented look at the structural organization of cellular components ranging in size from 100A to 100 microns.

Semi-automated methods for 3-D reconstruction of macromolecular complexes

1995 ◽  
Vol 53 ◽  
pp. 42-43
Author(s):  
B. Carragher ◽  
M. Whittaker
Keyword(s):  
Three Dimensional ◽  
Time Saving ◽  
Macromolecular Complexes ◽  
Symmetry Properties ◽  
Dimensional Reconstruction ◽  
Experienced Operator ◽  
Projection Images ◽  
The Individual ◽  
Natural Symmetry

Techniques for three-dimensional reconstruction of macromolecular complexes from electron micrographs have been successfully used for many years. These include methods which take advantage of the natural symmetry properties of the structure (for example helical or icosahedral) as well as those that use single axis or other tilting geometries to reconstruct from a set of projection images. These techniques have traditionally relied on a very experienced operator to manually perform the often numerous and time consuming steps required to obtain the final reconstruction. While the guidance and oversight of an experienced and critical operator will always be an essential component of these techniques, recent advances in computer technology, microprocessor controlled microscopes and the availability of high quality CCD cameras have provided the means to automate many of the individual steps.During the acquisition of data automation provides benefits not only in terms of convenience and time saving but also in circumstances where manual procedures limit the quality of the final reconstruction.

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