BACKGROUND Severe obesity is an important and distinct weight status classification that is associated with disease risk and is increasing in prevalence among youth. The ability to graphically present population weight status data, ranging from underweight through severe obesity class 3, is novel and applicable to epidemiologic research, intervention studies, case reports, and clinical care. ...

Social scientists often compare subclasses of populations or manipulatons. For example, in comparing task-completion times across two levels of a manipulations, if one group has faster overall mean response, it is natural to ask if the fastest 10% of the first group has a faster mean than the fastest 10% of the second group, and so on. Delta plots, a type of quantilequantile residual plot used ...

BACKGROUND Porphyromonas gingivalis has been implicated as a major pathogen in the development and progression of chronic periodontitis. P. gingivalis biofilm formation in the subgingival crevice plays an important role in the ability of the bacteria to tolerate stress signals outside the cytoplasmic membrane. Some bacteria use a distinct subfamily of sigma factors to regulate their extracytopl...

The Box-Cox power exponential (BCPE) distribution, developed in this paper, provides a model for a dependent variable Y exhibiting both skewness and kurtosis (leptokurtosis or platykurtosis). The distribution is defined by a power transformation Y(nu) having a shifted and scaled (truncated) standard power exponential distribution with parameter tau. The distribution has four parameters and is d...

For primes p>3 we produce a new derivation of the universal p-adic sigma function and Weierstrass zeta functions Mazur Tate for elliptic curves with good ordinary or multiplicative reduction by method that highlights congruences among coefficients in Laurent expansions functions, works simultaneously generalized defined equations.

We calculate accurate potential energy curves for HeO(-), NeO(-), and ArO(-), including the full counterpoise correction and allowing for spin-orbit effects. Comparison with previous curves is presented, where these are available. The three curves, (2)Sigma(12) (+), (2)Pi(12), and (2)Pi(32), are used to derive spectroscopic constants and to calculate the transport coefficients for O(-) moving i...

The Weierstrass curve X is a smooth algebraic determined by the canonical form, yr+A1(x)yr−1+A2(x)yr−2+⋯+Ar−1(x)y+Ar(x)=0, where r positive integer, and each Aj polynomial in x with certain degree. It known that every compact Riemann surface has X, which birational to surface. form provides projection ϖr:X→P as covering space. Let RX:=H0(X,OX(∗∞)) RP:=H0(P,OP(∗∞)). Recently, we obtained explici...

six-sigma has some measures which measure performance characteristics related to a process. in most of the traditional methods, exact estimation is used to assess these measures and to utilize them in practice. in this paper, to estimate some of these measures, including defects per million opportunities (dpmo), defects per opportunity (dpo), defects per unit (dpu) and yield, a new algorithm ba...