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Multiplicity does not fit the expectations of a narrow EU study agenda in which European integration is seen as the continent’s fate, and each country (including non-members) is forced to seek a place in a developing order “united in diversity”. Rather, the book demonstrates the benefits of a shift in agenda away from a primary concern with integration towards a consideration of the possibility that a single “Europe” may not exist and that Europe’s multiplicity surrounds us. As highlighted in the chapters in this volume, multiplicity is revealed across the range of EU studies as a key dimension in Europe’s transformation. The multiplicity is evident both in cases where there is an official EU policy and in areas that are central to European life in general. European multiplicity” also challenges the established notion that plurality can be explained in terms of identity politics.
it confronts the tendency to see Europe in binary terms, such as East/West, old/new, North/South, center/periphery, EU members/non-members, and top-down/bottom-up. A central feature of this book is establishing the feasibility of an approach to studying Europe that is not based on the binaries on which thinking about identity is too often based. “Many Europes” is one of the growing themes in EU scholarship, no longer confined to the fringes of European studies. The book makes a compelling case for the idea that Europe is best understood in terms of its inherent multiplicity. Multiplicity refers to the quality of multiples or multitudes and superabundance of individuals, species, or facts. The word has its origin in the Latin term multiplicity In the field of mathematics, multiplicity is the number of memberships that a member has in its multiset. The notion of multiplicity is used to count without specifying exceptions.
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The multiplicity in prime factors is known as factorization, an algebraic concept that refers to the decomposition of a number into the product of other smaller ones, which when multiplied all of them give the original number as a result. For example: 60 = 2 x 2 x 3 x 5. Specifically, we must emphasize that in the field of science, and specifically mathematics, two terms that make use of the word that we are now analyzing are used very frequently. More exactly we refer to what is known as geometric multiplicity and algebraic multiplicity. We can establish that the first term mentioned is defined as the maximum number that an eigenvalue has associated with what are linearly independent eigenvectors. On the other hand, in the second term, that of the algebraic multiplicity, we can determine that it is explained as the number of times that an eigenvalue
And all this without forgetting that in this same field there is what is known as Hund’s multiplicity or Hund’s rule. The German physicist Friedrich Hund is the one who gives his name to this theory that he himself developed within what is quantum chemistry, which he studied and analyzed so much. A theory that raises a maxim about the fact that when different orbitals are filled with the same energy, what happens is that their corresponding electrons do not cross, that is, they are distributed with what are their parallel spins. As we said at the beginning of this definition, multiplicity is not limited to numbers. In this sense, it can be pointed out that the multiplicity of languages refers to the coexistence of different languages in a given territory. the multiplicity of languages is Spain, where Spanish, Basque, Galician, and Catalan coexist, among other languages and dialects.
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However, we not only find such a multiplicity of languages in Spain. There are also many other countries that have the advantage of having this singularity that, among other things, has allowed them to establish their own cultural identity. On the other hand, the multiplicity of opinions is linked to freedom of expression and democratic societies. The government of a democratic country must tolerate the diversity of opinions, which means that any media can publish editorials and news contrary to the official position. finally, it should be noted that the notion of a multiplicity of options is very common in everyday language. It is said that there are multiple options when there is a wide variety of proposals to choose from on any topic.
Highlights
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- The state of being made of multiple diverse elements.
- (mathematics) The number of values for which a given condition is true.
- A large unknown number
- commercial state of being several or multiple.
- The multiplicity of architectural styles on that street.
- The quality or condition of being multiple or various.
- A big number.
- ORIGIN OF MULTIPLICITY
- Middle English from Old French multiplicity from Late Latin multiplicitās from multiplex various multiplex.
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Conclusion:
- I generally recognized that multiplicity needs to be controlled if the findings are summarized in a single conclusion for a multi-arm trial.1,5 The reason is that such a finding would be based on implicitly correlated comparisons due to the shared control arm. It summarizes the findings into a single conclusion that essentially involves testing multiple connected primary hypotheses simultaneously.
- Therefore, all comparisons included in the single conclusion are considered and, as one experiment or family of connected comparisons. For example, if the overall goal is to assess whether two new treatments are “both superior to the control arm “. C)’, it is necessary to adjust for multiplicity, because’, the global comparison essentially consists of testing two connected primary hypotheses regarding the superiority of each of the two treatments against the control.5.
- These contradictory results can easily be discredited as conflicting evidence to create the impression that scientific knowledge is unreliable. There is no scientific consensus on important research issues [106]. Despite mounting evidence of its widespread impact on the validity of research findings, current research practices largely fail to address it. Currently, it is a highly profitable strategy to analyze small data sets and exploit the multiplicity of possible.
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