The study on text emotional orientation based on a three-dimensional emotion space model

2009 ◽  
Author(s):  
Huana Li ◽  
Fuji Ren
Keyword(s):  
Three Dimensional ◽  
Space Model ◽  
Emotion Space

DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS

2010 ◽  
Vol 06 (04) ◽  
pp. 731-766 ◽  
Author(s):  
L. YA. VULAKH
Keyword(s):  
Half Space ◽  
Hyperbolic Space ◽  
Lower Bounds ◽  
Diophantine Approximation ◽  
Three Dimensional ◽  
Quadratic Fields ◽  
Imaginary Quadratic Fields ◽  
Space Model ◽  
Limit Points ◽  
Group B

Let H3 be the upper half-space model of the three-dimensional hyperbolic space. For certain cocompact Fuchsian subgroups Γ of an extended Bianchi group Bd, the extremality of the axis of hyperbolic F ∈ Γ in H3 with respect to Γ implies its extremality with respect to Bd. This reduction is used to obtain sharp lower bounds for the Hurwitz constants and lower bounds for the highest limit points in the Markov spectra of Bd for some d < 1000. In particular, such bounds are found for all non-Euclidean class one imaginary quadratic fields. The Hurwitz constants for the imaginary quadratic fields with discriminants -120 and -132 are given. The second minima are also indicated for these fields.

Construction for True Three-Dimensional Imaging Display System and Analysis Based on State-Space Model

2013 ◽  
Vol 860-863 ◽  
pp. 2287-2291 ◽  
Author(s):  
Yang Yang ◽  
Xin Yu Luo ◽  
Hui Jian Yang ◽  
Xing Yu Liao
Keyword(s):  
State Space ◽  
Model Calculation ◽  
State Space Model ◽  
Three Dimensional ◽  
Display System ◽  
Three Dimensional Imaging ◽  
Light Emitting ◽  
Space Model ◽  
Space Construction ◽  
The Cost

This paper presents a projection based on the true three-dimensional imaging display system. We analyzed true three-dimensional image display system imaging space construction, and proposed a new light emitting structure method of volume pixels (voxel), and also discussed feasibility employing local state-space model - Givone-Roessor model to compute the voxel variables. The mechanical structure is simple and the cost is inexpensive; the field angle is so larger that can display almost half a sphere except the zenith point; and the voxels constructor is easy to implement by micro controller due to the small amount of GR model calculation.

scholarly journals Charged Dark Matters and Extended Standard Model

2018 ◽  
Author(s):  
Jae-Kwang Hwang
Keyword(s):  
Dark Matter ◽  
Three Dimensional ◽  
Particle Creation ◽  
Big Bang ◽  
Space Model ◽  
Dark Matters ◽  
Effective Charges ◽  
The Big Bang ◽  
The Universe ◽  
Universe Evolution

The properties of the charged dark matters are discussed in terms of the new three-dimensional quantized space model. Because of the graviton evaporations, the very small Coulomb&rsquo;s constant (k(dd)) of 10 &minus;48 k and large gravitation constant (GN(dd)) of 106 GN for the charged dark matters at the present time are expected. The tentative values of G and k are used for the explanation purpose. Therefore, Fc(mm) &gt; Fg(dd) &gt; Fg(mm) &gt; Fg(dm) &gt; Fc(dd) &gt; Fc(dm) = Fc(lq) = 0 for the proton-like particle. Also, the gravitation constant has been changed with increasing of the time because of the graviton evaporation. In the present work, the B1, B2 and B3 bastons with the condition of k(mm) = k &gt;&gt; k(dd) &gt; k(dm) = 0 are explained as the good candidates of the dark matters. Also, the particle creation, dark matters and dark energy could be deeply associated with the changing gravitation constants (G). It is expected that the changing process of the gravitation constant between the matters from GN(mm) &asymp; 1036 GN to GN(mm) = GN happened mostly near the inflation period. Therefore, during most of the universe evolution the gravitation constant could be taken as GN(mm) = GN. And the effective charges and effective rest masses of the particles are defined in terms of the fixed Coulomb&rsquo;s constant (k) and fixed gravitation constant (GN). Then, the effective charge of the B1 dark matter with EC = &minus;2/3 e is (EC)eff = &minus;2/3&middot;10&minus;24 e. It is concluded that the photons, gravitons and dark matters are the first three particles created since the big bang. The particles can be created from the decay of the matter universe and the pair production of the particle and anti-particle with decreasing of the gravitation constant (GN(mm)).

DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$

2006 ◽  
Vol 02 (01) ◽  
pp. 25-48 ◽  
Author(s):  
L. YA. VULAKH
Keyword(s):  
Diophantine Approximation ◽  
Hyperbolic Plane ◽  
Three Dimensional ◽  
Quadratic Fields ◽  
Imaginary Quadratic Fields ◽  
Space Model ◽  
Continuous Parameter ◽  
Markov Spectrum ◽  
Group B ◽  
Discrete Part

The complete description of the discrete part of the Lagrange and Markov spectra of the imaginary quadratic fields with discriminants -20 and -24 are given. Farey polygons associated with the extended Bianchi groups Bd, d = 5, 6, are used to reduce the problem of finding the discrete part of the Markov spectrum for the group Bd to the corresponding problem for one of its maximal Fuchsian subgroup. Hermitian points in the Markov spectrum of Bd are introduced for any d. Let H3 be the upper half-space model of the three-dimensional hyperbolic space. If ν is a hermitian point in the spectrum, then there is a set of extremal geodesics in H3 with diameter 1/ν, which depends on one continuous parameter. This phenomenon does not take place in the hyperbolic plane.

scholarly journals Charged Dark Matters and Extended Standard Model

2018 ◽  
Author(s):  
Jae-Kwang Hwang
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Effective Charge ◽  
Three Dimensional ◽  
Particle Creation ◽  
Space Model ◽  
Dark Matters ◽  
Effective Charges ◽  
The Universe ◽  
Universe Evolution

The properties of the charged dark matters are discussed in terms of the new three-dimensional quantized space model. Because of the graviton evaporations, the very small Coulomb&rsquo;s constant (k(dd)) of 10-48 k and large gravitation constant (GN(dd)) of 106 GN for the charged dark matters at the present time are expected. The tentative values of G and k are used for the explanation purpose. Therefore, Fc(mm) &gt; Fg(dd) &gt; Fg(mm) &gt; Fg(dm) &gt; Fc(dd) &gt; Fc(dm) = 0 for the proton-like particle. Also, the gravitation constant has been changed with increasing of the time because of the graviton evaporation. In the present work, the B1, B2 and B3 bastons with the condition of k(mm) = k &gt;&gt; k(dd) &gt; k(dm) = 0 are explained as the good candidates of the dark matters. Also, the particle creation, dark matters and dark energy could be deeply associated with the changing gravitation constants (G). It is expected that the changing process of the gravitation constant between the matters from GN(mm) &asymp; 1036 GN to GN(mm) = GN happened mostly near the inflation period. Therefore, during most of the universe evolution the gravitation constant could be taken as GN(mm) = GN. And the effective charges and effective rest masses of the particles are defined in terms of the fixed Coulomb&rsquo;s constant (k) and fixed gravitation constant (GN). Then, the effective charge of the B1 dark matter with EC = &minus;2/3 e is (EC)eff = &minus;2/3&middot;10&minus;24 e.

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