1,462 research outputs found

    A geometric Newton method for Oja's vector field

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    Newton's method for solving the matrix equation F(X)≡AX−XXTAX=0F(X)\equiv AX-XX^TAX=0 runs up against the fact that its zeros are not isolated. This is due to a symmetry of FF by the action of the orthogonal group. We show how differential-geometric techniques can be exploited to remove this symmetry and obtain a ``geometric'' Newton algorithm that finds the zeros of FF. The geometric Newton method does not suffer from the degeneracy issue that stands in the way of the original Newton method

    Searches for violation of fundamental time reversal and space reflection symmetries in solid state experiments

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    The electric dipole moment (EDM) of a particle violates both time reversal (T) and space reflection (P) symmetries. There have been recent suggestions for searches of the electron EDM using solid state experiments [1,2]. These experiments could improve the sensitivity compared to present atomic and molecular experiments by several orders of magnitude. In the present paper we calculate the expected effect. We also suggest that this kind of experiment is sensitive to T,P-violation in nuclear forces and calculate effects caused by the nuclear Schiff moment. The compounds under consideration contain magnetic Gd3+^{3+} ions and oxygen O2−^{2-} ions. We demonstrate that the main mechanism for the T,P-odd effects is related to the penetration of the Oxygen 2p-electrons to the Gd core. All the effects are related to the deformation of the crystal lattice.Comment: 13 pages, 6 figure

    10th international scientific conference business and management 2018

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    The purpose of the study is to investigate and elaborate the dynamic capabilities needed to manage disruptive business. This paper is a conceptual paper. Firstly, authors present key concept of technological disruption, which is highly relevant for modern corporate foresight. Nowadays, in the market conditions of corporate foresight, VUCA (Volatility, Uncertainty, Complexity, and Ambiguity) approach has a significant role. Secondly, the rigor of this paper is to combine scientific discussion of technological disruption with the VUCA approach and dynamic capabilities of smart disruptor. The special focus of this article is the challenges of orchestration of dynamic capabilities in the special conditions of VUCA business environment and disruptive competition. The method/design of this study is a conceptual paper. The results: We evaluate the role of competence gaps identification inside a firm: The technology gaps, market gaps and business model gaps in modern business leadership. Our principal conclusion is to present tools to manage the dynamic capabilities in the VUCA and in the disruptive business environment. Further, we will present the pleminary definition of the smart disruptor
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