Transverse held

It follows that the transverse held 1 = 12 1 is Lorentz-invariant in free space, and so is the cyclic theorem ... 

We now consider only waves that reproduce themselves after two reflections (resonance condition), called eigenmodes (or simply modes) of the waveguide. These modes have the same transversal held distribution and polarization along the waveguide, which is a direct result of the resonance condition [4]. Figure 3 represents the resonance condition graphically. If we now consider the resonance condition with the help of Fig. 3, i.e., the phase difference needs to be a multiple of 2ti, we get... 

The other support conditions include a guided system that is similar to the free end except that its edge is prevented from rotating. In a simple support condition transverse displacement in one direction is restricted. There is the held (pinned) situation that is similar to the simply supported one except that here only rotations are allowed. 

One should keep in mind that e. m. waves are transverse vector helds and are polarized. Strictly speaking, one has to consider the polarisation characteristics of the light throughout this treatment. Polarisation plays an important practical role as instrumental depolarisation can change the coherence charac-... 

The transverse voltage is the drop of potential across the double layer and is of the order of 0-01 to 0 05 volt. It will be noted that the amount of liquid transported is dependent on the nature of the liquid and on the current and is independent of the diameters or lengths of the tubes of the diaphragm. Somewhat divergent views are held as to the actual thickness of the double layer (Lamb, Phil. Mag. xxv. 52, 1888) a point which we have 7 referred to. 

Tentering A continuous process for drying cloth while held under tension to remove wrinkles and give a smooth surface, also for orienting polymeric films or sheets in the transverse (cross-machine) direction. 

Therefore the held results from the addition of two distinct helds a polar held and an axial held . In the available literature, the expressions longitudinal and transverse, which respectively refer to the and vectors, do not necessarily imply that these vectors are projections of on orthogonal direchons. Indeed (if we leave Beltrami helds apart that fulfill the condition A VA 0), for A VA A = 0, the vector B = VA A is normal to if A is parallel to . If not, that is, when A L , both and have the same direchon. This analysis demonstrates the V A VA operator, as applied to the vector A, is itself a vector having either the same direction as A or having components in direchons parallel to A and perpendicular to the plan originating from vectors A and V A A. 

Fig. 50. Normalized transverse magnetoresistance, Ap(H)/p(0) — [p(H, T)-p(0, Dl/pfO, T), vs. the applied magnetic field at low temperatures for YbNijBjC. The held direction is perpendicular and parallel to the c axis in (a) and (b), respectively (Yatskar et al. 1999).

Needle-like coke has been widely used for the industrial production of graphite electrodes for steel refining. The changes in transverse magnetoresistance (Ap/p0) with the rotation angles 9 and 9 of the magnetic held along and perpendicular to the axis of a needle-like particle (TL and T... 

Here, m labels all transverse modes, and an initial condition Am(u>,z = 0) is supposed to be given or calculated from the held values at z = 0. Note that the above expansion is valid for the transverse components only. 

Figure 4. (a) Schematic illustrating an ideal chain with end atoms held in place by external forces, (b) Schematic representation of the force acting on a chain in a stretched network when the chain vector R makes an angle 6 with the stretch axis x. Shown are fR and fy, the axial and transverse components of the chain force f. 

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