Homogeneity. Article 105
Homogeneity. To measure the homogeneity of the opinion distribution with the network structure, we examined the local distribution of nodes' opinions. We looked at whether each node's opinion was similar to those of its neighbors, which would suggest that it was in line with the overall opinion distribution over the network. The final homogeneity value was close to zero if the distribution of opinions was close to linear. We have developed a Python simulator that can compute the dynamic FJ (rewiring included), and polarization metrics over time based on the given network and initial opinions. To test the model, we ran simulations on a small network comprising 20 nodes and compared the outcomes of the FJ with rewiring to those without rewiring. For the ER network, we used a vector of uniformly distributed opinions over [-1,1] as the initial opinions. However, for the SBM networks, we employed a different configuration, where the initial opinions were uniformly extracted over the intervals [-0.5,0-0.1] and [0.1,0.5], depending on whether the nodes belonged to one or the other block. In conclusion, this microproject involves the design of a dynamic version of the FJ model for synchronous and asynchronous cases. Additionally, we have developed a new definition of polarization that considers both the distribution of opinions and the network topology. To assess the model's effectiveness, we conducted simulations on two different network types: an ER network and an SBM network. Our findings indicate that the rewiring process has significant effects on polarization, but these effects are dependent on the initial network. What idea of AI? Social and public perception of AI Date Start: 2021-02-01
Homogeneity. The blenders, reactors and drop tank will demonstrate proper mixing by loading two miscible liquid chemicals with a viscostiy not greater than 500 cps and blending them for 15 minutes. Samples taken from the top and bottom of the blender will indicate not less than 99% homogeneous. This only needs be demonstrated one time in each vessel to be considered complete.
Homogeneity. Article 105
1. In order to achieve the objective of the Contracting Parties to arrive at as uniform an interpretation as possible of the provisions of the Agreement and those provisions of Community legislation which are substantially reproduced in the Agreement, the EEA Joint Committee shall act in accordance with this Article.
2. The EEA Joint Committee shall keep under constant review the development of the case-law of the Court of Justice of the European Communities and the EFTA Court. To this end judgments of these Courts shall be transmitted to the EEA Joint Committee which shall act so as to preserve the homogeneous interpretation of the Agreement.
3. If the EEA Joint Committee within two months after a difference in the case-law of the two Courts has been brought before it, has not succeeded to preserve the homogeneous interpretation of the Agreement, the procedures laid down in Article 111 may be applied.
Homogeneity. A question of bridging the gap?
Homogeneity. When ATL was introduced13 [6] each agent was attributed with an individual set of actions, or action indexes, in each state. They were clearly a (potentially) heteroge- neous bunch. Permitting heterogeneity does not rule out homogeneity, of course; it remains an interesting special case. Similar systems of concurrently acting agents have been discussed in many works. In the work which sexxxxxxx xntroduced social laws in reasoning about concurrent computer processes, the set of agents in the system onto which a normative system would be imposed or implemented, were described explicitly as homogeneous14 [75]: “We make an assumption of homogeneity; specifically, we assume that the sets of states and the available actions are common to all agents”. This form of homogeneity, as we can see, is certainly a constraint in a direction which seems like homogeneity, but two agents which have “the same actions” available might execute these actions differently. As there are no specifications/restrictions of the actions, what happens when one agent performs some action (say “push the blue button”) might be very different from what happens when another agent performs the same action. Perhaps in one case, the agent who pushes the button receives $10, and if the other pushes the button, it will unlock a door. Are these really the same action? Do these agents have the same actions available? If we identify actions extensionally rather than intentionally, we have another notion of “homogeneous agents”. If there is a blue button such that if some agent pushes it, she receives $10, then another agent, which has the same actions available, may also push the same button, yielding $10 to the first agent. The two agents in such a scenario certainly can be said to have the same actions available. In the work presented here (Chapters 3, 4, and 5), this extensional identification of actions will give rise to the homogeneity of main interest. We might also distinguish between these two definitions by calling the former “structural homogeneity” and the latter “strategic homogeneity”. The type, or notion, 13In this thesis we will rely on the Concurrent Game Structure (CGS) semantics introduced in [6], and not the Alternating Transition Systems (ATS) semantics used by the same authors in other articles. 14Presumably, what was intended by “homogeneity” in this quote is a technical simplification which is of little significance for the technical result, except making the exposition simpler. This ...
Homogeneity. Recall from Chapter 1 that a group of agents is homogeneous if the agents have the same strategic ability, i.e., the same ability to bring things about. The outcomes must be invariant under permutations of actions. In games there is as we mentioned a distinction between symmetric and anonymous games. The difference between the two was that in the former, we permuted the outcome, or utility, along with the actions, while in the latter we permuted only the actions. When we move from games with ascribed utilities as used in game theory to more qualitative models, as the CGS models of ATL, we lose the notion of utility. However, as utilities are based on, or part of, the state of affairs, we can still recognize when the utilities of two states are the same. That is, in every case, whenever the states of affairs are the same, the utilities must also be the same. Conversely, in some scenarios any change in the state of affair might constitute a difference of utility. What exactly the relationship between state of affairs and utilities may be is diffi- cult or impossible to give a general answer to.1 In this chapter we will not appeal to utility judgments, and without the mechanism of utility it is difficult or impossible to transfer verbatim the notion of symmetric games into qualitative strategic settings. The condition which defined anonymous games however, carry over since we do not need to “permute the utilities” (whatever they may be). The outcome must be invariant under permutation of action, leaving the description of the state of affairs unchanged. That is, in any state, for any two agents – say agents 1 and 2, for any pair of actions they might have chosen – say 1 chose α and 2 chose β , the state of affairs we end up 1In Chapter 6 we will investigate one possible approach this problem. in, is the same as if they had switched actions among themselves – i.e., if agent 1 chose β and 2 chose α. Two conditions become immediately clear:
1. In every state, all agents must have the same actions available, and
2. the actions must be extensionally equal (i.e., must have the same consequences). Let us consider a state and its outgoing transitions in a CGS which satisfies these two conditions.
Example 3.1 ( Strategical homogeneity in CGS). Consider two processes (our agents), running in a computer system with a shared file system. There are two files of interest which both agents can write to; file A and file B. If they both attempt to write to the same file at the same ti...
Homogeneity. 2.1. The coal fed daily to the CEMS and non-CEMS units will be deemed homogeneous with respect to SO2 potential only if the loader operator reclaims coal from consistent general locations within the respective storage piles. For clarity, this means that the operator must build each “ready pile" (one for bituminous and one for sub-bituminous) from coal extracted from one general area of the storage pile. Alternatively, ready piles may consist entirely of newly unloaded coal that has never been taken to long- term storage. Even in this instance, however, the entire ready pile must be composed of new coal, and would probably represent the most homogeneous case available. If it becomes necessary to mix freshly unloaded coal with previously stored coal in building a ready pile, the operator must use the loader bucket to homogenize the pile to the extent practicable.
Homogeneity. Please identify the text paragraphs that contain information about this feature)
Homogeneity. Article 105
1. In order to achieve the objective of the Contracting Parties to arrive at as uniform an interpretation as possible of the provisions of the Agreement and those provisions of Community legislation which are substantially reproduced in the Agreement, the EEA Joint Committee shall act in accordance with this Article.
2. The EEA Joint Committee shall keep under constant review the development of the case-law of the Court of Justice of the European Communities and the EFTA Court. To this end judgments of these Courts shall be transmitted to the EEA Joint Committee which shall act so as to preserve the homogeneous interpretation of the Agreement.
3. If the EEA Joint Committee within two months after a difference in the case-law of the two Courts has been brought before it, has not succeeded to preserve the homogeneous interpretation of the Agreement, the procedures laid down in Article 111 may be applied. In order to ensure as uniform an interpretation as possible of this Agreement, in full deference to the independence of courts, a system of exchange of information concerning judgments by the EFTA Court, the Court of Justice of the European Communities and the Court of First Instance of the European Communities and the Courts of last instance of the EFTA States shall be set up by the EEA Joint Committee. This system shall comprise:
(a) transmission to the Registrar of the Court of Justice of the European Communities of judgments delivered by such courts on the interpretation and application of, on the one hand, this Agreement or, on the other hand, the Treaty establishing the European Economic Community and the Treaty establishing the European Coal and Steel Community, as amended or supplemented, as well as the acts adopted in pursuance thereof in so far as they concern provisions which are identical in substance to those of this Agreement;
(b) classification of these judgments by the Registrar of the Court of Justice of the European Communities including, as far as necessary, the drawing up and publication of translations and abstracts;
