scholarly journals Management of the transverse dimension (expansion) with microscrews (TADS)

2015 ◽  
Vol 3 (1) ◽  
pp. e33-e38
Author(s):  
Lorenzo Puebla Ramos
Keyword(s):  
Transverse Dimension ◽  
Dimension Expansion

One-dimensional models of fourth and sixth orders for rods derived from three-dimensional elasticity

2016 ◽  
Vol 22 (2) ◽  
pp. 158-175 ◽  
Author(s):  
Erick Pruchnicki
Keyword(s):  
Order Term ◽  
Three Dimensional ◽  
Transverse Dimension ◽  
Lagrange Equations ◽  
Transverse Shearing ◽  
Natural Boundary Conditions ◽  
The Stability ◽  
Shearing Energy ◽  
Three Dimensional Elasticity ◽  
Double Symmetry

The displacement field in rods can be approximated by using a Taylor–Young expansion in transverse dimension of the rod. These involve that the highest-order term of shear is of second order in the transverse dimension of the rod. Then we show that transverse shearing energy is removed by the fourth-order truncation of the potential energy and so we revisit the model presented by Pruchnicki. Then we consider the sixth-order truncation of the potential which includes transverse shearing and transverse normal stress energies. For these two models we show that the potential energies satisfy the stability condition of Legendre–Hadamard which is necessary for the existence of a minimizer and then we give the Euler–Lagrange equations and the natural boundary conditions associated with these potential energies. For the sake of simplicity we consider that the cross-section of the rod has double symmetry axes.

KOLMOGOROV CONSTANT IN LARGE SPACE DIMENSIONS

2002 ◽  
Vol 16 (32) ◽  
pp. 4839-4845 ◽  
Author(s):  
MALAY K. NANDY
Keyword(s):  
Eddy Viscosity ◽  
Energy Equation ◽  
Space Dimension ◽  
Direct Interaction ◽  
Large Space ◽  
Distant Interaction ◽  
Direct Interaction Approximation ◽  
Dimension Expansion ◽  
Kolmogorov Constant ◽  
Interaction Approximation

A large d (space dimension) expansion together with the ∊-expansion is implemented to calculate the Kolmogorov constant from the energy equation of Kraichnan's direct-interaction approximation using the Heisenberg's eddy-viscosity approximation and Kraichnan's distant-interaction algorithm. The Kolmogorov constant C is found to be C = C0 d1/3 in the leading order of a 1/d expansion. This is consistent with Fournier, Frisch, and Rose. The constant C0 evaluated in the above scheme, is found to be C0 = (16/27)1/3.

Post-retention assessment of the transverse dimension in Class I crowding alignment utilizing the Damon System—A pilot study

2017 ◽  
Vol 23 (2) ◽  
pp. 197-214
Author(s):  
Krystyn Blumber-Franco ◽  
P. Emile Rossouw ◽  
Peter H. Buschang ◽  
Phil M. Campbell ◽  
Richard F. Ceen
Keyword(s):  
Pilot Study ◽  
Transverse Dimension ◽  
Class I ◽  
System A

scholarly journals Long-Term Results of a Modified Removable Expansion Plate to Increase Arch Length: A Series of 10 Cases

2020 ◽  
Vol 54 (4) ◽  
pp. 374-381
Author(s):  
Alka M. Banker ◽  
Rahul P. Muchhadia ◽  
Bhagyashree B. Desai ◽  
Priyanka A. Shah
Keyword(s):  
Transverse Dimension ◽  
Rapid Maxillary Expansion ◽  
Permanent Dentition ◽  
Long Term Results ◽  
Maxillary Expansion ◽  
Fixed Appliance ◽  
Palatal Expansion ◽  
Fixed Appliances ◽  
Complexity Cost

Crowding, protrusion, and class II or end-on occlusion are malocclusions frequently associated with a narrow transverse dimension. The goal of expansion is to reduce the need for extractions in permanent dentition through elimination of arch length discrepancies as well as correction of bony base imbalances. Gaining arch length makes the subsequent fixed appliance treatment easier and shorter. Palatal expansion is usually achieved by using fixed rapid maxillary expansion, but because of the complexity, cost, and increased laboratory steps, this step is sometimes omitted. We have modified the design and screw activation protocol of the removable Schwarz plate in such a way that it gives efficient and stable expansion as well as arch perimeter gain with simpler mechanics. We present the long-term results of 10 such cases treated with this modified expander followed by fixed appliances.

Lower-hybrid wave generation in an electron beam of finite transverse dimension

1989 ◽  
Vol 41 (1) ◽  
pp. 119-137 ◽  
Author(s):  
G. B. Crew
Keyword(s):  
Electron Beam ◽  
Transverse Dimension ◽  
Beam Current ◽  
Lower Hybrid ◽  
Lower Hybrid Wave ◽  
Field Geometry ◽  
Hybrid Waves ◽  
Limiting Case ◽  
Lower Hybrid Waves

The generation of lower-hybrid waves in an inhomogeneous electron beam is examined. Wave amplitudes are invariably limited by the convective nature of the instability. The self-consistent shear of the magnetic-field geometry due to the beam current is limited to the role of dividing the general problem into separate cases according to the relative orientation of the wave vector and direction of inhomogeneity. Moreover, the limiting case of small shear is smoothly connected to the case where shear is altogether negligible. Estimates of the amplification of lower-hybrid waves propagating across the electron beam are made for the various cases.

scholarly journals Broadband gold nanoantennas arrays with transverse dimension effects

2016 ◽  
Vol 24 (16) ◽  
pp. 17760 ◽  
Author(s):  
Chen-Wei Su ◽  
Kuo-Ping Chen
Keyword(s):  
Transverse Dimension
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