Divider sinusoidal

It remains to investigate the zeros of Cg t) arising from having divided out by. The position and number of these zeros depend only weakly on G, but depends markedly on the fomi that the time-dependent Hamiltonian H(x, () has. It can be shown that (again due to the smallness of ci,C2,...) these zeros are near the real axis. If the Hamiltonian can be represented by a small number of sinusoidal terms, then the number of fundamental roots will be small. However, in the t plane these will recur with a period characteristic of the periodicity of the Hamiltonian. These are relatively long periods compared to the recurrence period of the roots of the previous kind, which is characteristically shorter by a factor of... 

Fig. 4. The effect of temperature for Mng 6 Zng 3 Fe Fe on (a) initial magnetic permeabiUty, )J., measured on a polycrystalline toroid appHed as a core for a coil driven by a low (B <0.1 mT) ampHtude, low (10 kHz) frequency sinusoidal signal and (b) magnetocrystalline anisotropy constant, measured on a monocrystalline sphere showing the anisotropy/compensation temperature Tq and the Curie temperature, T. To convert joules to calories, divide by...

The minimum speeified maximum linear limit of the input to the multiplier (pin3) is 2.5 V. This level should be the peak value of the divided reetified input waveform at the highest expeeted ae input voltage at the erest of the sinusoid (370 V). If a sense eurrent of 200jUA is seleeted at this point the resistor divider beeomes... 

Much present electronic equipment deals with signals which are not sinusoidal and which may not even be periodic in nature. However, these signals can be divided into a series of components, each of a single specific frequency, and each can then be studied in turn in order to determine its characteristics. Where plant instrumentation is concerned, this technique can be particularly useful for diagnostic purposes. 

At large radii the widths of the Bragg layers converges asymptotically to the conventional (Cartesian) quarter-wavelength condition. Mathematically, this can be explained by noting that for large radii the Bessel function can be approximated by a sinusoidal function divided by square root of the radius. From the physical... 

Sinusoidal excitation provides only one harmonic at the modulation frequency. In contrast, pulsed light provides a large number of harmonics of the excitation repetition frequency. The harmonic content, the number of harmonics and their amplitude, is determined by the pulse width and shape.(25) For example, a train of infinitely short pulses provides an infinite number of harmonics all with equal amplitude. A square wave provides only three modulation frequencies with sufficient amplitude to be usable. Equation (9.74) gives the harmonic content of a train of rectangular pulses R(t) of D duty cycle (pulse width divided by period) and RP peak value ... 

The spleen functions as a large lymph node and is supplied with blood via a single artery which progressively divides into smaller branches. Small arterioles are surrounded by areas of lymphocytes, which are known as the white pulp of the spleen. The arterioles ultimately end in vascular sinusoids, which contain different types of cells but especially erythrocytes, hence forming the red pulp of the spleen. 

Classically the liver has been divided into hexagonal lobules centred around the terminal hepatic venules. Blood enters the liver through the portal tracts that are situated at the corners of the hexagon. The portal tracts are triads of a portal vein, an hepatic artery, and a common hepatic bile duct. The vast expanse of hepatic tissue, mostly consisting of parenchymal cells (PC) or hepatocytes, is serviced via terminal branches of the portal vein and hepatic artery, which enters the tissue at intervals. The hepatocytes are organized into cords of cells radially disposed about the central hepatic venule. Between these cords are vascular sinusoids that transport the blood to the central hepatic venules. The blood is collected through the hepatic venules into the hepatic vein which exits the liver into the inferior vena cava (Figure 4.1). 

Figure 12.5. Uptake of I-Suc-HSA in liver slices from humans and rats at 37°(0) and 4°C ( ). The accumulation factor is defined as the concentration of the compound in the slices divided hy the concentration in the medium. Each point is the mean of 5-6 separate experiments SEM. n = number of livers. p < 0.05 versus 4°C. The dotted line represents the accumulation factor if I-Suc-HSA is exclusively distrihuted within the sinusoids.

It probably annoys a lot of you that we call this a sinusoidal variation and then write it in terms of a cosine, but just remember your trigonometry sines and cosines describe the / same pattern, but one is simply shifted 90° or jt/2 radians relative to the other. Now, if we want to describe the oscillations of the electric field in terms of the wavelength instead of to, we note that the period is also equal to the distance traveled in one oscillation, X, divided by the speed of light cj ... 

Hepatic lobule and hepatic acinus are relatively well-accepted models to describe the structure and functional aspects of the liver. Histologically, the hepatic lobule is a hexagonal region of the liver parenchyma around the central vein. Typically, six portal triads, consisting of branches from the portal vein and hepatic artery as well as bile ductules, border the edge of the lobule. Cords of hepa-tocytes are arranged radially around the central vein and blood sinusoids form between them. The hepatic parenchyma is divided into three zones based on the proximity to... 

Structurally and histologically, the liver can be divided into four tissue systems (i.) intrahepatic vascular system, (2.) stroma, (3.) sinusoidal cells, and (4.) hepatocytes. 

In the porta hepatis, the proper hepatic artery divides into the right branch (from which the cystic artery emerges) and the left branch (from which a middle hepatic artery occasionally emerges). The branches of the hepatic artery run close to the portal veins and may even (rarely) coil round them in places. An arterial sphincter is located prior to the further division of the hepatic artery into smaller branches. There are anastomoses between the arterial branches and the hepatic vein. By way of an arteriolar sphincter (46), the interlobular arteries branch into intralobular arterioles, supplying the lobules of the liver with arterial blood. The arterial blood enters the sinusoids either through terminal branches or through arterioportal anastomoses and mixes with the portal blood. The pressure in the hepatic arterioles is 30-40 mm Hg. (36, 46, 61)... 

The computational domain was divided into 1,401 elements, for 186 nodes. With this coarse grid, errors in area determinations were on the order of 0.5% (volume fraction errors were about 0.2%). With s set equal to unit, / was chosen to be sinusoidal with period 2 f(y) = a. sin n y — ). Thus the unit cell is actually homeomorphic to two unit cells of the P surface, so that b — 2. The amplitude a was varied up to a value of 0.6, and the result for 0.6 is shown in Fig. 8 (see color insert) two unit cells are shown side by side. 

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