This article introduces a Markov chain Monte Carlo (MCMC) method for sampling the parameters of a multinomial logit model from their posterior distribution. Let yi ∈ {0, . . . ,M} denote the categorical response of subject i with covariates xi = (xi1, . . . , xip) T . Let X = (x1, . . . ,xn) T denote the design matrix, and let y = (y1, . . . , yn) T . Multinomial logit models relate yi to xi th...

Polar weighted homogeneous polynomials is the class of special polynomials of real variables xi, yi, i = 1, . . . , n with zi = xi + √ −1 yi which enjoys a “ polar action”. In many aspects, their behavior looks like that of complex weighted homogeneous polynomials. We study basic properties of hypersurfaces which are defined by polar weighted homogeneous polynomials.

background and objectives: preparation and evaluation of nanocomposite films have become prevalent in recent years. depending on the purpose of using the film, and considering the effects and interaction effects of nanomaterial and other modifiers on the film properties, the amounts of nanomaterials and modifiers should be optimized. the effects of montmorillonite (mmt), glycerol (gl), and thei...

Let L denote the free Lie ring of rank 2r with free generators xi , yi (1 i r), and let τ be the automorphism of L that interchanges xi and yi for all i . We construct a Z-basis of L that consists of pairs of elements which are interchanged by τ , and elements upon which τ acts as multiplication by −1.

Fang-Yi Lo ([email protected]) Jer-Wei Chang ([email protected]) I-Shou Chang ([email protected]) Yann-Jang Chen ([email protected]) Han-Shui Hsu ([email protected]) Shiu-Feng Kathy Huang ([email protected]) Fang-Yu Tsai ([email protected]) Shih Sheng Jiang ([email protected]) Rajani Kanteti ([email protected]) Suvobroto Nandi ([email protected]...

For the partition x = [x1 ≥ x2 ≥ · · · ≥ xk] of the integer n = ∑ i xi a t-deletion is a partition y = [y1 ≥ y2 ≥ · · · ≥ yk] with xi ≥ yi ≥ 0 and ∑ i (xi−yi) = t. We prove that all partitions of n are reconstructible from their t–deletions if n is sufficiently large in relation to t.

OBJECTIVE To detect the association of diet and lifestyle with blood pressure in the Guangxi Hei Yi Zhuang and Han populations. DESIGN A cross-sectional study of hypertension. SETTING Both populations were from seven to nine villages in Napo County, Guangxi Zhuang Autonomous Region, China. SUBJECTS A total of 1068 subjects of Hei Yi Zhuang and 933 participants of Han Chinese aged 20-89 ye...

The relations of sodium, potassium, calcium, and magnesium to blood pressure were investigated in four groups of men (119 high-mountain Yi farmers, 114 mountainside Yi farmers, 89 Yi migrants, and 97 Han people) with a wide range of electrolyte intake in Puge County, Sichuan Province, People's Republic of China. Electrolytes were measured in diet, serum, and urine. Sodium excretion was 73.9 mmo...