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INDEX Triangular distribution, 142 Turnstile dipole, 231, 316 Turnstile feed, 231 233, 265, 316 Two-surface lens, 454, 466, 468 Unbalanced mode, 251 Under-coupled impedance, 303 Uniform distribution, 52, 140, 191 quadratic phase error, 212 traveling wave, 476 Uniform linear array, 109 Unit circle method, 164 170 V wire antenna, 482 Variable power divider, 592 Vector effective height, 27 Vector potential, 43, 50 Vector propagator, 59 Vertex plate, 398 Vestigial lobe, 3, 390 Villeneuve array synthesis, 172 Virtual focus lens, 457 Visible region, 110, 125 Vivaldi antenna, 513 Voltage re ection coef cient, 17 VSWR, 17 Wave number, 2 Waveguide, rectangular, 271 Waveguide slot, 218, 270 283 Waveguide slot array, 278 283 Wavelength, 2 Wire cage, 72 74 , 245, 249 Wire frame model, 73 Woodward line source synthesis, 162 164 Wrap angle, spiral, 528, 544 Yagi Uda antennas, 485 497 dipole, 486 multiple feed, 492 optimized over band, 488 resonant loop, 495 Yee s cell, 78 Zero sampling for array, 173 Zoned lenses, 451, 462, 470

Safety valves were added to allow gas venting during charge and discharge Two lead acid systems emerged: the small sealed lead acid (SLA) battery, also known under the brand name Gel Cell, and the large valve-regulated lead acid (VRLA) battery VRLA batteries do not require water to keep the electrolyte functioning properly or to mix the electrolyte to prevent strati cation The oxygen recombination and the valves of VRLAs prevent the venting of hydrogen and oxygen gases and the ingress of air However, the battery may need to be replaced more frequently than a ooded lead acid battery, which can increase the leveled cost of the system The major advantages of VRLA batteries over ooded lead acid cells are (1) the dramatic reduction in maintenance, and (2) the reduced footprint and weight because of the sealed construction and immobilized electrolyte, which allow battery cells to be packaged more tightly.

TABLE AN3-9

VRLA batteries are less robust than ooded lead acid batteries, more expensive, and have a shorter lifetime VRLA batteries are perceived as maintenance-free and safe, and they have become popular as standby power supplies in telecommunications applications and as uninterruptible power supplies in situations in which special rooms cannot be set aside for batteries Unlike ooded lead acid batteries, both SLA and VRLA batteries are designed with a low overvoltage potential to prevent them from reaching their gas-generating potential during charge Excess charging would cause gassing and water depletion Consequently, these batteries can never be charged to their full potential The advantages and limitations of lead acid batteries are listed in Table 116 1132 Battery Charge Discharge Cycles.

The reason commodity prices are so important is because of their role as a leading indicator of inflation. In 7, I'll show how commodity markets lead other popular inflation gauges such as the Consumer Price Index (CPI) and the Producer Price Index (PPI) by several months. We'll content ourselves here with the general statement that rising commodity prices are inflationary, while falling commodity prices are non-inflationary. Periods of inflation are also characterized by rising interest rates, while noninflationary periods experience falling interest rates. During the 1970s soaring commodity markets led to double-digit inflation and interest rate yields in excess of 20 percent. The commodity markets peaked out in 1980 and declined for six years, ushering in a period of disinflation and falling interest rates. The major premise of this chapter is that commodity markets trend in the same direction as Treasury bond yields and in the opposite direction of bond prices. Since the early 1970s every major turning point in long-term interest rates has been accompanied by or preceded by a major turn in the commodity markets in the same direction. Figure 3.1 shows that the CRB Index and interest rates rose simultaneously 20

Figure 2.10 Single-body projective transforms in two and three dimensions and related invariant properties.

and third one can be computed as 1 1 1(t) 2 (t)dt = v S-caplet vT -caplet dt = v S-caplet vT -caplet S S

(5.14)

de ne N 20 de ne m 1 #include forwardDrift.h #include random.h /********************************************************************************** calcDeltaCaplet: computed delta of a caplet [in]: long M : number of simulations [out]: none **********************************************************************************/ void ForwardDrift::calcDeltaCaplet(long M) { /* The program for Forward Drift method to compute Delta of Caplet */ double nyear=5, delta=.25, epsilon=.25,B=1; oat F0[N],sigma[N]; FILE * le_ptr; int i,j,k,run,n,t; /* time structure */

Verify that input checks are incorporated into all systems. Confirm that input checks are active and sufficient to prevent unauthorized, erroneous, or incomplete entries from being processed by the application. Confirm that only authorized processing occurs in a timely, complete, and accurate manner. Confirm that procedures clearly define activities and that standards are enforced. Verify that output (e.g., control totals) checks for completeness are tested and reported.