On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion

2020 ◽  
Vol 88 (1) ◽  
Author(s):  
Ranislav M. Bulatovic ◽  
Firdaus E. Udwadia
Keyword(s):  
Fundamental Reason ◽  
Rank Conditions

Abstract This paper provides a generalization of the celebrated Merkin theorem. It provides new results on the destabilizing effect of circulatory forces on stable potential systems. Previous results are described and discussed, and the paper uncovers a deeper understanding of the fundamental reason for the destabilization. Instability results in terms of rank conditions that deal with the potential and circulatory matrices that describe the system are obtained, thereby generalizing this remarkable theorem. These new results are compared with those obtained earlier.

MODELING OF THE INFLUENCE OF THERMIC TREATMENT UPON THE MECHANICAL PROPERTIES OF ALUMINUM-TIN ALLOYS

2015 ◽  
Vol 9 (2) ◽  
pp. 2431-2439
Author(s):  
Saad El Madani ◽  
S. ELHAMZI ◽  
J. KATTEN ◽  
A. IBNLFASSI
Keyword(s):  
Mechanical Properties ◽  
Solidification Process ◽  
Tin Alloys ◽  
Homogenization Process ◽  
Fundamental Reason ◽  
Segregation Phenomenon ◽  
Cooling Velocity

In order to master and improve the quality and properties of the final products, the major industrial challenge lies in the possibility of controlling the morphology, size of microstructures that reside within the molded pieces, as well as their defects; this is the fundamental reason according to which we are more and more interested in mastering the growth and germination of such alloys, as well as the developing structures, at the time of solidification process. The modeling reveals as a valuable aid in the mastery of the formation of such heterogeneousness: segregation cells that are incompatible with industrial requirements. The whole work focuses upon the modeling of the segregation phenomenon of the four hypoeutectic alloys, Al1%Sn, Al2%Sn, Al3%Sn and Al4%Sn, as well as the tin effect upon certain mechanical properties of aluminum. Usually, the microstructure and mechanical  behavior of such alloys as Al-Sn are directly influenced by some parameters such as composition, cooling velocity and homogenization process.

MODELISATION DE L'INFLUENCE DU TRAITEMENT THERMIQUE SUR LES PROPRIETES MECANIQUES DES ALLIAGES ALUMINIUM-CUIVRE (Al-Cu)

2015 ◽  
Vol 10 (2) ◽  
pp. 2753-2761
Author(s):  
Saad El Madani ◽  
S. ELHAMZI ◽  
A. IBNLFASSI ◽  
L. ZERROUK ◽  
O. BEN LENDA ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Mechanical Behavior ◽  
Solidification Process ◽  
Traitement Thermique ◽  
Homogenization Process ◽  
Fundamental Reason ◽  
Segregation Phenomenon ◽  
Proprietes Mecaniques ◽  
Cooling Velocity ◽  
Copper Effect

In order to master and improve the quality and properties of the final products, the major industrial challenge lies in the possibility of controlling the morphology, size of microstructures that reside within the molded pieces, as well as their defects; this is the fundamental reason according to which we are more and more interested in mastering the growth and germination of such alloys, as well as the developing structures, at the time of solidification process. The modeling reveals as a valuable aid in the mastery of the formation of such heterogeneousness: segregation cells that are incompatible with industrial requirements.   The whole work focuses upon the modeling of the segregation phenomenon of the four hypoeutectic alloys, Al1%Cu, Al2%Cu, Al3%Cu et Al4%Cu, as well as the copper effect upon certain mechanical properties of aluminum. Usually, the microstructure and mechanical behavior of such alloys as Al-Cu are directly influenced by some parameters such as composition, cooling velocity and homogenization process.

Failure to Accelerate

2017 ◽  
Author(s):  
Peter Scott
Keyword(s):  
United States ◽  
The United States ◽  
International Perspective ◽  
Production Costs ◽  
Car Ownership ◽  
Success Story ◽  
Car Industry ◽  
Fundamental Reason ◽  
European Standards ◽  
Market Diffusion

From an international perspective, the inter-war car industry was a British success story. Britain ranked only second to the United States as the world’s leading producer of, and market for, automobiles, owing to a relatively strong domestic market by European standards. However, while consumers’ expenditure was high, it was not deep—car ownership per capita in 1938 being around a third of US levels. This chapter examines why the British automobile sector failed to take off into mass market diffusion. A number of important factors are highlighted, including lower British wages relative to the United States; punitive vehicle and petrol taxation; and the high unit production costs incurred in serving a market too small to justify Fordist mass production. However, a more fundamental reason was the low priority given to car ownership in a relatively small, densely populated, and highly urbanized island nation with well-developed public transport networks.

scholarly journals Transport of pseudothermal photons through an anharmonic cavity

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Dmitriy S. Shapiro
Keyword(s):  
Pauli Principle ◽  
Optical Systems ◽  
Frequency Noise ◽  
Continuous Transition ◽  
Noise Current ◽  
Nonperturbative Solution ◽  
Occupation Numbers ◽  
Fundamental Reason ◽  
The Rich ◽  
Quantum Optical

AbstractUnder nonequilibrium conditions, quantum optical systems reveal unusual properties that might be distinct from those in condensed matter. The fundamental reason is that photonic eigenstates can have arbitrary occupation numbers, whereas in electronic systems these are limited by the Pauli principle. Here, we address the steady-state transport of pseudothermal photons between two waveguides connected through a cavity with Bose–Hubbard interaction between photons. One of the waveguides is subjected to a broadband incoherent pumping. We predict a continuous transition between the regimes of Lorentzian and Gaussian chaotic light emitted by the cavity. The rich variety of nonequilibrium transport regimes is revealed by the zero-frequency noise. There are three limiting cases, in which the noise-current relation is characterized by a power-law, $$S\propto J^\gamma$$ S ∝ J γ . The Lorentzian light corresponds to Breit-Wigner-like transmission and $$\gamma =2$$ γ = 2 . The Gaussian regime corresponds to many-body transport with the shot noise ($$\gamma =1$$ γ = 1 ) at large currents; at low currents, however, we find an unconventional exponent $$\gamma =3/2$$ γ = 3 / 2 indicating a nontrivial interplay between multi-photon transitions and incoherent pumping. The nonperturbative solution for photon dephasing is obtained in the framework of the Keldysh field theory and Caldeira-Leggett effective action. These findings might be relevant for experiments on photon blockade in superconducting qubits, thermal states transfer, and photon statistics probing.

scholarly journals Dynamic Repair and Robust Optimization of Complex Networks

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Pengtao Zhang ◽  
Peng Bai ◽  
Chaoqi Fu ◽  
Shanshan Li
Keyword(s):  
Energy Transfer ◽  
Repair Process ◽  
Recovery Efficiency ◽  
Repair Strategy ◽  
Coupling Structure ◽  
Secondary Failure ◽  
Fundamental Reason ◽  
Network Functions ◽  
The Impact ◽  
Failure Node

Network repair is indispensable for maintaining network security. Conventional static repair is relatively inefficient. In this study, by considering the energy transfer between nodes, a dynamic repair model was established. The fundamental reason for the secondary failure of repaired nodes during the dynamic repair process is the coupling structure of failure networks. A dynamic repair strategy was proposed that can effectively prevent the secondary failure of repair nodes influenced by energy during repair and can cause the redundant capacity of repair nodes to be used reasonably. By turning off the energy transfer function of the link to control the excessive flow of energy into the repair node to avoid the occurrence of secondary failure; on the other hand, by sharing part of the load of the failure node, realize the rational use of the redundant capacity of the repair node to reduce the impact of the failure node on the overall function of the network. The proposed strategy mitigated the effect of failure nodes on network functions and substantially improved the recovery efficiency of network functions. Furthermore, redundant edges, behaving as energy redundant links in a network structure, can considerably improve the robustness of the network by optimizing the removal of redundant edges. Dynamic repair is not only an efficient repair method but also a highly flexible choice for network repair.

Gabriela Mistral

1946 ◽  
Vol 3 (02) ◽  
pp. 168-189
Author(s):  
Margaret J. Bates
Keyword(s):  
Nobel Prize ◽  
Gabriela Mistral ◽  
The Real ◽  
Spanish Speaking ◽  
Fundamental Reason ◽  
Selection Of

When, on November sixteenth last, the newspapers announced the awarding of the Nobel Prize for literature to a Chilean poetess, Gabriela Mistral, the news came as a surprise to many Americans, who, although they considered themselves well read, had never heard her name. The fundamental reason we know so little of this remarkable woman who enjoys such a great popularity in the Spanish-speaking world, not only for her words but for her deeds, is because the limited number of her poems which have been translated into English, by heavy hands, for the most part, allow hardly a glimmer of the real Mistral to shine through them. Of course, all translation of poetry is difficult but that of Gabriela extremely so because of her unique selection of words. She has created a plant that does not grow on English soil.

Experimental study on filtering papermaking black liquor by dynamic blade crossflow membrane

2020 ◽  
Vol 35 (3) ◽  
pp. 464-470 ◽  
Author(s):  
Wenjie Zhao ◽  
Junfei Wu ◽  
Fushan Chen
Keyword(s):  
Molecular Weight ◽  
Experimental Study ◽  
Environmental Pollution ◽  
Rotational Speed ◽  
Membrane Filtration ◽  
Black Liquor ◽  
Cross Flow ◽  
Transmembrane Pressure ◽  
Filtration Equipment ◽  
Fundamental Reason

AbstractThe fundamental reason for the environmental pollution caused by the papermaking industry is the inadequate treatment of the black liquor. How to dispose of the lignin macromolecules, which is the main pollutants in the black liquor, is the key to addressing the environmental pollution. At present, cross-flow membrane filtration is one of the effective ways to retain and recycle lignin macromolecules in black liquor. The paper proposes the adoption of a dynamic blade cross-flow membrane filtration equipment provided by German BOKELA company to treat papermaking black liquor. The experiment shows that when the black liquor is treated with dynamic blade rotation cross-flow, the membrane with a molecular weight cut-off of nanofiltration (NP010) delivers the best retaining effect, with 28 % more lignin in black liquor than that in untreated black liquor. Meanwhile, when the blade rotational speed reaches 300 rpm and the transmembrane pressure is 0.5 or 2 bar, the flux of black liquor through nanofiltration NP010 is relatively desirable.

scholarly journals Spirituality in the Philosophical Thought of Seyyed Hossein Nasr

ULUMUNA ◽  
2016 ◽  
Vol 20 (2) ◽  
pp. 373-394
Author(s):  
Fadhilah Khunaeni
Keyword(s):  
Modern Science ◽  
Eternal Truth ◽  
Philosophical View ◽  
Philosophical Thought ◽  
Relative Truth ◽  
Ecological Damage ◽  
Intellectual Intuition ◽  
Fundamental Reason

Spirituality for Seyyed Hossen Nasr is an inner reality that becomes a religious central in Islam. It is the esoteric dimension hidden in the reality of exoteric Islam. That view on spirituality brings Nasr to the philosophical thought that cannot be separated from religious metaphysical doctrine. Nasr argues that philosophy is more than just a ratio but also the activity of intellect that can reach the meta-cosmic nature to find the essence of truth namely the universal and eternal truth that lies behind the physical and relative truth. The philosophical efforts to find this truth are a combination of the optimizing potential of reason and intellectual intuition. Nasr refers to ḥikmah or wisdom as a kind of philosophy that combines logic and intellectual intuition. That philosophical view brings Nasr on a dualistic view of nature which not only has a cosmic dimension as such but also has a meta-cosmic dimension. This dualistic view is his fundamental reason in formulating the concept of metaphysical cosmology as a solution to the crisis of modern science that has caused a variety of ecological damage due to the secular vision.  DOI: http://dx.doi.org/10.20414/ujis.v20i2.812

scholarly journals Diagrams and Essential Sets for Signed Permutations

10.37236/8106 ◽  
2018 ◽  
Vol 25 (3) ◽  
Author(s):  
David Anderson
Keyword(s):  
Schubert Variety ◽  
Signed Permutation ◽  
Signed Permutations ◽  
Degeneracy Locus ◽  
Essential Set ◽  
Diagrammatic Method ◽  
Essential Sets ◽  
Rank Conditions ◽  
Theoretic Version

We introduce diagrams and essential sets for signed permutations, extending the analogous notions for ordinary permutations.  In particular, we show that the essential set provides a minimal list of rank conditions defining the Schubert variety or degeneracy locus corresponding to a signed permutation.  Our essential set is in bijection with the poset-theoretic version defined by Reiner, Woo, and Yong, and thus gives an explicit, diagrammatic method for computing the latter.

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