We prove a formula, which, given principally polarized abelian variety $(A,\lambda)$ over the field of algebraic numbers, relates stable Faltings height $A$ with N\'eron--Tate symmetric theta divisor on $A$. Our formula completes earlier results due to Bost, Hindry, Autissier and Wagener. The local non-archimedean terms in our can be expressed as tropical moments tropicalizations $(A,\lambda)$.

Frisch, R. E., and Revelle, R. (1971). Archives of Disease in Childhood, 46, 695. Height and weight at menarche and a hypothesis of menarche. Height and weight at menarche were estimated by interpolation of longitudinal growth data for 181 girls. Mean weight at menarche, about 48 kg, does not change as menarcheal age increases, whereas mean height increases significantly. Early and late menarch...

The object of this paper is to give a short and reasonably self-contained treatment of the distribution properties of the rational points on the sphere S = {x ∈ R;x1 + x2 + x3 = 1} using only basic properties of modular forms, including the Shimura lift and the fundamental work of Rankin. Consider the set R of rational points Q ∩ S. By the height h(x) of a point x ∈ R we shall mean simply the l...

This study aimed to investigate the effects of nitrogen fertilizer and a bioherbicide on Egyptian broomrape in a tomato research field at College of Agriculture, Shiraz University, Shiraz, Iran in 2014. Treatments consisted of several levels of nitrate ammonium including 0, 100, 200 and 300 kg ha-1 and a biofertilizer as the first factor and how to use the bioherbicide including soak...

BACKGROUND If height is a well-established risk factor for breast cancer, leg length and sitting height are usually considered as better candidate biomarkers of growth hormone exposure than height, respectively, in pre- and postpuberty. METHODS Risk of breast cancer associated with quartiles of height, sitting height, and leg length were estimated in the French E3N cohort (N = 50,704, includi...

Mobile technologies and more precisely apps have disrupted technology scenario. Bring your own application (BYOA) is a new trend that has emerged after the “bring your own device” (BYOD) vogue. However, and in spite of its intrinsic benefits, the trend presents also several caveats and Enterprise app stores are seen as a way to tackle these risks. In this paper, authors present ModEAS, a system...