-A method for analysis of five artificial sweetners (sodium saccharin, aspartame, acesulfame-K, sucralose, cyclamate) in beverage samples was developed using high-performance liquid chromatography/triple quadrupole mass spectrometry (HPLC/MS/MS). The method uses a single-step dilution for sample preperation. Seperation was achieved on a C 18 column (2.1 × 150 mm, 3.5 µm) with A-2% methanol (1 mM ammonium acetate), B-95% methanol (1 mM ammonium acetate) as mobile phase with gradient mode. The quantitation of target compounds was performed by external calibration in selected reaction monitorning (SRM) mode. The coefficient of determination of calibration curve for sodium saccharin, aspartame, acesulfame-K, sucralose and cyclamate were 0.9957, 0.9991, 0.9943, 0.9982 and 0.9948, respectively. The limits of detection (LODs) and limits of quantitation (LOQs) were in the range of 0.001~0.022 mg/L and 0.004~0.073 mg/L, repectively. Recoveries for beverage samples were in the range of 92.76~113.50% with RSD < 10.91%. The method has applied to the determination of the five sweetners in 102 beverage samples. Three artificial sweetners-aspartame, acesulfame-K, sucralose were detected from 42 samples. Sodium saccharin and cyclamate were not detected in all samples.
The paper describes bit-string interpretation of ROBDDs. ROBDDs are viewed as recursively defined periodic bitstrings and BDD operations as recursively defined bitwise operations. Using the periodicity of bit-strings, we prove that the ROBDDs generated by rotating the bitstring of a ROBDD are mutually different. It implies not only the exponential BDD size but also more compact BDD representation. And the interpretation can explain the hidden ideas of variable ordering. [Def. 51 A negative n-fold concatenation of bit-string: PBS(Of3= h (null string), PBS(n,fl = BS(flPBS(n+l,fl ifn < 0. Similarly, BPBS(b,j) = PBS(-2-b,fl i f b < 0 .
BS"cfl E PBS(-"f3PBS( w,f3
Fb(x,Bs(')= x-th symbol of BS# i f 0 5 x < 24 and Fb(x-24 BS(f3) = Fb(x+2',Bscfl) = Fb(x,BScfl)for integer x and non-negative integer b.[Def. 61 An infinite log-periodic Boolean function :By above definitions, BS(F,(x,BS(v))) = BS"(v) for a ROBDD node v. Note that Fb(x+r,BS(V)) = Fb(x,Bs(w))
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