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The journal was established in 1967 as Mathematical Notes of the Academy of Sciences of the USSR and obtained its current title in 1991. The current editor-in-chief is Victor P. Maslov. According to the Journal Citation Reports, the journal has a 2011 impact factor of 0.295. [1] The journal is indexed in Russian Science Citation Index. [2]
The answer is no: Dominik Peters proved that no multiwinner voting rule can simultaneously satisfy a weak form of proportionality, a weak form of strategyproofness, and a weak form of efficiency. [12] Specifically, the following three properties are incompatible whenever k ≥ 3, n is a multiple of k, and the number of candidates is at least k+1:
If φ has no free variables, that is, if φ is an atomic sentence, and it is satisfied by A, then one writes A ⊧ φ. In this case, one may also say that A is a model for φ, or that φ is true in A. If T is a collection of atomic sentences (a theory) satisfied by A, one writes A ⊧ T
Lecture Notes in Mathematics is a book series in the field of mathematics, including articles related to both research and teaching. It was established in 1964 and was edited by A. Dold, Heidelberg and B. Eckmann, Zürich. Its publisher is Springer Science+Business Media (formerly Springer-Verlag).
Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
lnp1 – natural logarithm plus 1 function. ln1p – natural logarithm plus 1 function. log – logarithm. (If without a subscript, this may mean either log 10 or log e.) logh – natural logarithm, log e. [6] LST – language of set theory. lub – least upper bound. [1] (Also written sup.)
The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
For some versions of the SAT problem, it is useful to define the notion of a generalized conjunctive normal form formula, viz. as a conjunction of arbitrarily many generalized clauses, the latter being of the form R(l 1,...,l n) for some Boolean function R and (ordinary) literals l i. Different sets of allowed Boolean functions lead to ...