We implement the Babylonian method [1] to compute n-th roots of numbers. We provide precise algorithms for naturals, integers and rationals, and offer an approximation algorithm for square roots within linear ordered fields. Moreover, there are precise algorithms to compute the floor and the ceiling of n-th roots.

We consider the Newton iteration for computing the principal matrix pth root, which is rarely used in the application for the bad convergence and the poor stability. We analyze the convergence conditions. In particular it is proved that the method converges for any matrix A having eigenvalues with modulus less than 1 and with positive real part. Based on these results we provide a general algor...

The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational method to obtain the eigenvalues for the Hulthén Potential. PACS No. 03.65. Work supported in part by FAPESP, CNPq and FUNDUNESP

this in-vitro study sought to assess the push-out bond strength of a total etch and 2 self-etch bonding systems to intracanal dentin of primary anterior teeth (pat).thirty-six primary anterior teeth were randomly divided into 3 groups of 5(th) generation (single bond 2), 6(th) generation (clearfil se) and 7(th) generation (single bond universal) bonding agents. the canal orifice was restored wi...

A method utilizin g picosecond u ltrason ics, combin ed with a pump-probe therm oreflectance techn iqu e, for the sim u ltan eou s m easu rem ent of thin -film th ickness and thermal condu ctiv ity norm al to the su rface is presen ted. Th is techniqu e is a non con tact m ethod that is u sefu l for determ in in g thermophysica l properties of film s with th ickness grad ien ts or for film s in...

AIMS Thiamine (Th) deficiency is a major problem in alcoholics. In this study, the relationship of alcohol withdrawal syndrome (AWS) to Th and its esters, as well as the diagnostic power of Th and its esters were investigated. PATIENTS AND METHODS Th and its esters were assessed in a series of chronic alcoholics (and in controls) using an improved method. RESULTS No association was found be...

An HPLC method is presented for the separation and determination of lanthanides (Lns), thorium (Th), uranium (U) and plutonium (Pu) from irradiated (Th, Pu)O2. Individual separation of Lns, Th, U and Pu is a challenging task because of 1) lanthanides having similar physical and chemical properties, 2) presence of complex matrix like irradiated fuel and 3) the co-existence of multiple oxidation ...

The yield was measured after the harvest. Because the 3 rd method was not tested on the 4 th type of field (because of a lack of seeds), and the 2 nd method on the 4 th type of field (because of a hail storm), the experiment is a typical example of an unbalanced ANOVA. We have performed an ANOVA with interactions in order to determine the interactions between the types of methods used and the t...

The scale-invariant behavior of air pollutant concentration (APC) time structure was investigated by applying the box counting method to APC time series. One-year series of hourly average APC observations, including O3, CO, SO2, NO, NO2, and PM10 which were obtained from urban, traffic, and national park air monitoring station at Taipei (Taiwan), were transferred into a useful compact form thro...