one of the fundamental problems of theoretical mysticism is how to explain the difference between god and the world on the basis of the idea of wahdat al-wujud (the unity of existence). following the explanation of certain necessary premises, this paper presents the theory of divine manifestation as one that can explain and analyze multiplicity. in this article we especially seek to solidify th...

A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the multiplicity of a solution as the multiplicity of a united point of an algebraic correspondence defined naturally by the system. The numerical calculation is applicable to a large scale system of algebraic equations whic...

mulas §1.5. Multiplicity-free representations — definition §2. Multiplicity-free theorem — general framework §2.1. Holomorphic bundles and anti-holomorphic maps §2.2. Multiplicity-free theorem — line bundle case §2.3. Geometry on the base space D §2.4. Multiplicity-free theorem — vector bundle case §3. Visible actions on complex manifolds §3.1. Previsible and visible actions on complex manifold...

In this paper we consider the dynamics of the real polynomials of degree d + 1 with a fixed point of multiplicity d ≥ 2. Such polynomials are conjugate to fa,d(x) = axd(x−1)+x, a ∈ R{0}, d ∈ N. Our aim is to study the dynamics fa,d in some special cases.

Abstract. Results from the photon multiplicity measurements using a fine granularity preshower photon multiplicity detector (PMD) at CERN SPS are discussed. These include study of pseudorapidity distributions of photons, scaling of photon multiplicity with number of participating nucleons, centrality dependence of < pT > of photons, event-by-event fluctuations in photon multiplicity and localis...

We show that Bertini theorems hold for F-signature and Hilbert–Kunz multiplicity. In particular, if $$X \subseteq {\mathbb {P}}^n$$ is normal quasi-projective with greater than $$\lambda $$ (respectively the multiplicity less ) at all points $$x \in X$$ , then a general hyperplane $$H multiplicity) of \cap H$$ X .

We classify all multiplicity-free products of Schur functions and all multiplicity-free products of characters of SL(n; C). 0. Introduction In this paper, we classify the products of Schur functions that are multiplicity-free; i.e., products for which every coeecient in the resulting Schur function expansion is 0 or 1. We also solve the slightly more general classiication problem for Schur func...

BACKGROUND Systematic reviews with meta-analyses often contain many statistical tests. This multiplicity may increase the risk of type I error. Few attempts have been made to address the problem of statistical multiplicity in systematic reviews. Before the implications are properly considered, the size of the issue deserves clarification. Because of the emphasis on bias evaluation and because o...