I describe a modification to Shanks’ baby-step giant-step algorithm for computing the order n of an element g of a group G, assuming n is finite. My method has the advantage of being able to compute n quickly, which Shanks’ method fails to do when the order of G is infinite, unknown, or much larger than n. I describe the algorithm in detail. I also present the results of implementations of my a...

introduction: the preparation of the root canal space includes debridement, shaping and apical preparation. these procedures are challenging and constitute. the recent introduction of automated techniques for canal preparation has created considerable interest. the aim of this study was to test shaping ability of one hand instrumentation (passive step-back technique) and new rotary niti system ...

From the coordinates transformation, we can see that only after i 1 (ri 1 (t)) is obtained can hi (ri (t )) be obtained. After we obtain hi (ri (t )) ; ~ ij (rj (t )) can be determined from (6). In other words, ~ ij (rj (t )) can not be determined until i 1 (ri 1 (t)) is obtained. However, from the iterative procedure in the main result of [1], we can see that function i 1 (ri 1 (t)) is obtaine...

Baby boomers will begin entering old age in 2011. They will be the largest and most diverse cohort ever to experience this life-course transition. The sheer number of baby boomers has challenged institutions time after time (Dychtwald, 1990). Despite extensive speculation regarding the political, economic, and social impact that the aging of baby boomers will have on American society, no one ha...

We argue that the giant graviton configurations known from the literature have a complementary, microscopical description in terms of multiple gravitational waves undergoing a dielectric (or magnetic moment) effect. We present a non-Abelian effective action for these gravitational waves with dielectric couplings and show that stable dielectric solutions exist. These solutions agree in the large...

The Peyrard-Bishop (PB) DNA model is the most representative to investigate dynamics because able answer denaturation processes even though has restricted review that assumes without surrounding interaction. In this study, we of modified PB by considering in Nosé-Hoover thermostat as a bio-fluid with various viscosities. Viscosity variations are reviewed through temperature variations, namely t...

During our attempts to reevaluate and improve mycobacteriology laboratory procedures, we found that isolation of mycobacteria from undecontaminated specimens through the use of selective media was unrewarding and that specimen decontamination was an essential step. A reevaluation of the N-acetyl-L-cysteine-sodium hydroxide (NALC-NaOH) decontamination procedure (G. P. Kubica, W. E. Dye, M. L. Co...

K-complex is an underlying pattern in the sleep EEG. Due to the role of sleep studies inneurophysiologic and cognitive disorders diagnosis, reliable methods for analysis and detection of this patternare of great importance. In our previous work, Synchrosqueezing Transform (SST) was proposed for analysisof this pattern. SST is an EMD-like tool, which benefits from wavelet transform and reallocat...

at the first step cufe2o4 nanoparticles were synthesized by a fast and facile microwave method. the obtained nanoparticles and modified carbon nano tubes were added to poly styrene matrix. the products were characterized through fourier transform infrared spectroscopy, x-ray diffraction, and scanning electron microscopy. vibrating sample magnetometer shows nanoparticles exhibit ferromagnetic be...

The scalar auxiliary variable (SAV) approach \cite{shen2018scalar} and its generalized version GSAV proposed in \cite{huang2020highly} are very popular methods to construct efficient accurate energy stable schemes for nonlinear dissipative systems. However, the discrete value of SAV is not directly linked free system, may lead inaccurate solutions if time step sufficiently small. Inspired by re...