1098-4402= Three 6-cell 805 MHz superconducting cavity prototypes for acceleration in the velocity range of about 0.4 to 0.53 times the speed of light have been fabricated and tested. The quality factors (Q0) were between 7 109 and 1:4 1010 at the design field (accelerating gradient of 8–10 MV=m). The maximum gradients reached were between 11 and 16 MV=m; in each case, the Q0 values were 3 109 ...

An alternative derivation is given for a uniform asymptotic expansion of the integral Z i(h) = | sKvV + <»), which has been obtained recently by Schmidt. Here q varies in the interval [0, q0], q0 is some fixed number less than z, and z is finite. A similar result is obtained for integrals having an infinite range of integration. Realistic bounds are also provided for the erro...

The grading Becchi-Rouet-Stora-Tyutin (BRST) method gives a way to construct the integer W2,s strings, where the BRST charge is written as QB = Q0+Q1. In this paper, using this method, we reconstruct the nilpotent BRST charges Q0 for the integer W2,s strings and the half-integer W2,s strings. Then we construct the exact grading BRST charge with spinor fields and give the new realizations of the...

The obtained Q0 value of a superconducting niobium cavity is known to depend on various factors like the RRR of the Niobium material, crystallinity, chemical treatment history, the high-pressure rinsing process, or effectiveness of the magnetic shielding. We have observed that spatial thermal gradients over the cavity length during cool-down appear to contribute to a degradation of Q0. Measurem...

Let Q0 denote the rational numbers expanded to a ‘meadow’, that is, after taking its zero-totalized form (0−1 = 0) as the preferred interpretation. In this paper, we consider ‘cancellation meadows’, i.e. meadows without proper zero divisors, such as Q0 and prove a generic completeness result. We apply this result to cancellation meadows expanded with differentiation operators, the sign function...

Counterion condensation is a basic feature of 2D electrostatics exhibited by highly charged rodlike polymers such as DNA. In the framework of the Poisson Boltzmann equation with salt, we show that such a polymer of radius a attracts a condensate of thickness RM=A(axi)1/2 where xi is the Debye length and A depends weakly on the polymer charge density q0. To leading order in 1/ln(xi/a), we derive...

Let Q = {Q1, . . . , Qn} be a set of past queries and let R = {R1, . . . , Rn} be their results. Moreover, let Q0 be a query newly submitted to the system and let R0 be its result. The task of optimizing the extraction of R0 using the knowledge provided by Q and R have been faced following two distinct approaches. In the first approach we search for a query Qi ∈ Q, such that R0 ⊆ Ri (in such a ...

Hint . Without loss of generality, assume that L = L(G), where G = (V,Σ, P, S) is in Chomsky normal form, and let R = L(D), for some DFA D = (Q,Σ, δ, q0, F ). Use a kind of cross-product construction as sketched below. Construct a CFG G2 whose set of nonterminals is Q×N ×Q ∪ {S0}, where S0 is a new nonterminal, and whose productions are of the form: S0 → (q0, S, f), for every f ∈ F ; (p,A, δ(p,...

The note “Beskrivelse af et bærbart instrument til måling af vejbelægningers refleksionsegenskaber” (in Danish) explains that the two values of the reduced luminance coefficient, r1 and r2, of a road surface lead to the both of the characteristic values for the reflection properties of road surfaces. These are the specular factor S1 and the average reflection measured by either the average lumi...

We call this sequence a dynamical system generated by f and denote by qj the value of q0 = q after j times of the map qj = f (q0). We encounter such systems in various occasion in mathematics, physics and in the nature. All of complex dynamical systems are examples in mathematics. Bäcklund transformations which characterize integrable systems, connection formulae of Stokes geometry E-mail: sait...