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Systems of Representatives

Mathematical Notes, 2019
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Kovalenko, K. D., Raigorodsky, A. M.
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The representative system

Critical Review of International Social and Political Philosophy, 2020
There are two ways to approach political representation. We can view each type of representation or each site of representation – namely a representative actor or institution – on an individual bas...
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Systems of representatives with repetition

Mathematical Proceedings of the Cambridge Philosophical Society, 1967
The part of combinatorial analysis which deals with systems of representatives draws on a variety of different sources. Thus the theory of graphs, the theory of flows in networks, linear programming, and integral linear programming all provide relevant methods and arguments. Nevertheless, it is in all likelihood possible to give a unified set-theoretic
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Three-valued representative systems

Mathematical Systems Theory, 1975
A representative system defined onn voters or propositionsi = 1,⋯,n is a functionF: {1,0, -1}n → {1,0, -1} which is monotonic (D ≥ E ⇒ F(D) ≥ F(E)), unanimous (F(1,⋯, 1) = 1), dual (F(-D) = -F(D)), and satisfies a positivity property which says that the set of all non-zero vectors in {1, 0, -1}n for whichF(D) = 0 can be partitioned into two dual ...
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Representing software systems architectures

Joint proceedings of the second international software architecture workshop (ISAW-2) and international workshop on multiple perspectives in software development (Viewpoints '96) on SIGSOFT '96 workshops, 1996
As software systems architectural practice moves from the informal to the disciplined, a key challenge is architectural description. Despite substantial on-going work in “architecture description languages,” we have found that existing languages are not rich enough to handle the software systems engineering concerns needed to specify and procure large ...
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Representing systems of subspaces

Mathematical Notes of the Academy of Sciences of the USSR, 1985
Let \((H_ k)^{\infty}_{k=1}\) be sequence of linear subspaces of a topological linear space \(H\) over the field \(\Phi\). One says that \((H_ k)\) is a representing system for \(H\) if every \(x\in X\) can be represented as a convergent series \[ x=\sum^{\infty}_{k=1}y_ k,\quad y_ k\in H_ k,\quad k=1,2,\ldots,\tag{*} \] When \(H\) is a separated ...
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