Tables of the relation between height and weight are now common in many countries, and if reasonably used are certainly helpful. It is not that a youth, a man, or woman, of a certain height must closely conform to the weight tabulated, a margin of 15 or 20 per cent, on either side is allowable. Such a table is undoubtedly useful in comparing the recruits or the prisoners it may be of one year (...

purpose : to investigate intraocular pressure (iop) changes due to different serum level heights by using tonopen in acquired globes from the iran eye bank (ieb). methods : in this interventional prospective case series, serum were infused into 18 normal globes acquired from ieb by using 21g needle inserted in vitreal space through optic nerve head to change the iop by different fluid level hei...

a typical iranian carbonate matrix block surrounded by an open fracture was modeled in order to understand the fracture-matrix interaction and realize how to model the interaction best. the modeling was carried out by using a fine-scaled eclipse model in the single porosity mode (the fractures were explicitly modeled). the model was extended to a stack of 6 matrix blocks to understand block-to-...

2 Derived p-adic heights 2.1 Derived heights for cyclic groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Comparison of pairings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Compatibility of the derived heights . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Derived p-adic heights . . . . . . . . . . . . . . . . . . . . . . . . . ....

Notes for a talk in Stanford’s Arithmetic Dynamics Seminar, Apr. 29, 2014. This talk is an introduction to the theory of heights on projective varieties over local and global fields. I will also say something about canonical heights for a dynamical system, and a local-global formula for these. This material is from Chapters 1-2 of the book by Bombieri and Gubler on heights [BG]; also Silverman’...

A new proof is given for the explicit formulae for the non archime dean canonical height on an elliptic curve This arises as a direct calculation of the Haar integral in the elliptic Jensen formula