This article generalizes our previous results for a quantum system of two nodes to a quantum system ofm(m ≥ 2) nodes. It shows that there is a one to one correspondence between 2m GHZ states for a quantum system ofm...This article generalizes our previous results for a quantum system of two nodes to a quantum system ofm(m ≥ 2) nodes. It shows that there is a one to one correspondence between 2m GHZ states for a quantum system ofm(m ≥ 2) nodes and 2m oriented links of the linkage N1 in knot theory, where N = 4 C2m = 2m(m - 1) is the numberof crossings of the link with m components, the subscript 1 denotes the order of the unoriented m components link withN crossings, i.e. the first type, actually the simplest type.展开更多
We report results on electronic, transport, and bulk properties of rock-salt magnesium selenide (MgSe), from density functional theory (DFT) calculations. We utilized a local density approximation (LDA) potential and ...We report results on electronic, transport, and bulk properties of rock-salt magnesium selenide (MgSe), from density functional theory (DFT) calculations. We utilized a local density approximation (LDA) potential and the linear combination of atomic orbitals formalism (LCAO). We followed the Bagayoko, Zhao, and Williams (BZW) method, as enhanced by Ekuma and Franklin (BZW-EF), to perform a generalized minimization of the energy, down to the actual ground state of the material. We describe the successive, self-consistent calculations, with augmented basis sets, that are needed for this generalized minimization. Due to the generalized minimization, our results have the full, physical content of DFT, as per the second DFT theorem [AIP Advances, 4, 127104 (2014)]. Our calculated, indirect bandgap of 2.49 eV, for a room temperature lattice constant of 5.460 <span style="white-space:nowrap;">Å</span>, agrees with experimental findings. We present the ground-state band structure, the related total and partial densities of states, DOS and PDOS, respectively, and electron and hole effective masses for the material. Our calculated bulk modulus of 63.1 GPa is in excellent agreement with the experimental value of 62.8 ± 1.6 GPa. Our predicted equilibrium lattice constant, at zero temperature, is 5.424 <span style="white-space:nowrap;">Å</span>, with a corresponding indirect bandgap of 2.51 eV. We discuss the reasons for the agreements between our findings and available, corresponding, experimental ones, particularly for the band gap, unlike the previous DFT results obtained with ab-initio LDA or GGA potentials.展开更多
Minimax state estimation is discussed for uncerttain systems with L2 bounded constraint. A dtaity relation-equality is introduced to estimate terminal state variabes x(T) by measurable outputs . hawing a game theory, ...Minimax state estimation is discussed for uncerttain systems with L2 bounded constraint. A dtaity relation-equality is introduced to estimate terminal state variabes x(T) by measurable outputs . hawing a game theory, opti-mal estimation leads to a simple solution. LQL control scheme, is further discussed to make it rational in the actual application.展开更多
The three mainstream International Relations theories that have arisen in the past thirty years, structural realism, neo-liberal institutionalism and structural constructivism, have all missed an important dimension, ...The three mainstream International Relations theories that have arisen in the past thirty years, structural realism, neo-liberal institutionalism and structural constructivism, have all missed an important dimension, i.e., the study relational complexity in international society. of processes in the international system and of This paper, informed by social constructivism and Chinese philosophical traditions, aims to make up for this missing link and develop a theoretical model of processual constructivism by incorporating and conceptualizing two key Chinese ideas - processes and relations. ＂Process,＂ defined as relations in motion, can stand on its own, has its own dynamics, and plays a crucial role in international relations. The core of process, by definition, consists in relations. If ＂rationality,＂ rooted in individuality, has been a key concept for Western society, then its counterpart in Chinese society can be ＂relationality.＂ Conceptualizing relationality and treating it as the theoretical hard core, processual constructivism holds that relational networking in international society helps nation-states form their identities and produces international power. Processual constructivism is an evolution theory at systemic level, focusing on interactive practices among states and emphasizing the independent ontology of social processes which play a meaningful role in constructing international norms and state identities.展开更多
文摘This article generalizes our previous results for a quantum system of two nodes to a quantum system ofm(m ≥ 2) nodes. It shows that there is a one to one correspondence between 2m GHZ states for a quantum system ofm(m ≥ 2) nodes and 2m oriented links of the linkage N1 in knot theory, where N = 4 C2m = 2m(m - 1) is the numberof crossings of the link with m components, the subscript 1 denotes the order of the unoriented m components link withN crossings, i.e. the first type, actually the simplest type.
文摘We report results on electronic, transport, and bulk properties of rock-salt magnesium selenide (MgSe), from density functional theory (DFT) calculations. We utilized a local density approximation (LDA) potential and the linear combination of atomic orbitals formalism (LCAO). We followed the Bagayoko, Zhao, and Williams (BZW) method, as enhanced by Ekuma and Franklin (BZW-EF), to perform a generalized minimization of the energy, down to the actual ground state of the material. We describe the successive, self-consistent calculations, with augmented basis sets, that are needed for this generalized minimization. Due to the generalized minimization, our results have the full, physical content of DFT, as per the second DFT theorem [AIP Advances, 4, 127104 (2014)]. Our calculated, indirect bandgap of 2.49 eV, for a room temperature lattice constant of 5.460 <span style="white-space:nowrap;">Å</span>, agrees with experimental findings. We present the ground-state band structure, the related total and partial densities of states, DOS and PDOS, respectively, and electron and hole effective masses for the material. Our calculated bulk modulus of 63.1 GPa is in excellent agreement with the experimental value of 62.8 ± 1.6 GPa. Our predicted equilibrium lattice constant, at zero temperature, is 5.424 <span style="white-space:nowrap;">Å</span>, with a corresponding indirect bandgap of 2.51 eV. We discuss the reasons for the agreements between our findings and available, corresponding, experimental ones, particularly for the band gap, unlike the previous DFT results obtained with ab-initio LDA or GGA potentials.
文摘Minimax state estimation is discussed for uncerttain systems with L2 bounded constraint. A dtaity relation-equality is introduced to estimate terminal state variabes x(T) by measurable outputs . hawing a game theory, opti-mal estimation leads to a simple solution. LQL control scheme, is further discussed to make it rational in the actual application.
文摘The three mainstream International Relations theories that have arisen in the past thirty years, structural realism, neo-liberal institutionalism and structural constructivism, have all missed an important dimension, i.e., the study relational complexity in international society. of processes in the international system and of This paper, informed by social constructivism and Chinese philosophical traditions, aims to make up for this missing link and develop a theoretical model of processual constructivism by incorporating and conceptualizing two key Chinese ideas - processes and relations. ＂Process,＂ defined as relations in motion, can stand on its own, has its own dynamics, and plays a crucial role in international relations. The core of process, by definition, consists in relations. If ＂rationality,＂ rooted in individuality, has been a key concept for Western society, then its counterpart in Chinese society can be ＂relationality.＂ Conceptualizing relationality and treating it as the theoretical hard core, processual constructivism holds that relational networking in international society helps nation-states form their identities and produces international power. Processual constructivism is an evolution theory at systemic level, focusing on interactive practices among states and emphasizing the independent ontology of social processes which play a meaningful role in constructing international norms and state identities.
