Starting from the observation that in Yang-Mills theory the Schroedinger state functional in the momentum representation is not gauge invariant, we investigate the reversed question: Which are the representations for the operators of a gauge theory that lead to an invariant wave functional once the quantum constraints have been imposed upon it? Stated otherwise: Which representation do we have ...

In this paper, we describe and compare two statistical parsing approaches for the hybrid dependency-constituency syntactic representation used in the Quranic Arabic Treebank (Dukes and Buckwalter, 2010). In our first approach, we apply a multi-step process in which we use a shift-reduce algorithm trained on a pure dependency preprocessed version of the treebank. After parsing, the dependency ou...

We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay. By using new delayed matrix functions and the method variation, we obtain a representation their solutions. As an application, derive finite time stability result solutions norm estimation functions. The obtained results are new, they extend improve some existing ones. Finally, example is pr...

supposing the reciprocity of relations between society and media, it is logical to investigate the social changes of women’s identity through inspecting the changes in women’s identity representation in media (particularly cinema). this paper aims to analyze the mutual effects of predominant social affairs of after-islamic revolution of iran on the manner of women’s representation in iran’s cin...

The cluster representation matrices have already been successfully used to enumerate close-packed vacancy clusters in all single-lattice crystals [I, 2]. Point defect clusters in double-lattice crystals may have identical geometry but are distinct due to unique atomic postions enclosing them. The method of representation matrices is extended to make it applicable to represent and enumerate ...

In this paper, a state-of-the-art neuron mathematical model of neural tensor network (NTN) is proposed to RDF knowledge base completion problem. One of the difficulties with the parameter of the network is that representation of its neuron mathematical model is not possible. For this reason, a new representation of this network is suggested that solves this difficulty. In the representation, th...

We derive the optimal exponent of the error probability of the quantum fixedlength pure state source coding in both cases of blind coding and visible coding. The optimal exponent is universally attained by Josza et al. (PRL, 81, 1714 (1998))’s universal code. In the converse part, Nielsen and Kempe (PRL, 86, 5184 (2001))’s lemma is essential. In the direct part, a group representation theoretic...

Let A be an arrangement of n complex hyperplanes. The fundamental group of the complement of A is determined by a braid monodromy homomorphism, : Fs ! Pn. Using the Gassner representation of the pure braid group, we nd an explicit presentation for the Alexander invariant of A. From this presentation, we obtain combinatorial lower bounds for the ranks of the Chen groups of A. We also provide a c...

This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-r...

Pure and Applied Mathematics—Two Sides of a Coin In November of 1979 there appeared in the Bulletin of the AMS a paper by L. Auslander and R. Tolimieri [3] with the delightful title “Is Computing with the Finite Fourier Transform Pure or Applied Mathematics?” This rhetorical question was answered by showing that in fact the finite Fourier transform and the family of efficient algorithms used to...