Construction of identities for sums of squares

A Generalization of the Doubling Construction for Sums of Squares Identities

The doubling construction is a fast and important way to generate new solutions to the Hurwitz problem on sums of squares identities from any known ones. In this short note, we generalize the doubling construction and obtain from any given admissible triple [r, s, n] a series of new ones [r+ ρ(2m−1), 2s, 2n] for all positive integer m, where ρ is the Hurwitz–Radon function.

application and construction of carbon paste modified electrodes developed for determination of metal ions in some real samples

ساخت الکترودهاِی اصلاح شده ِیکِی از چالشهاِی همِیشگِی در دانش شیمِی بوِیژه شیمِی تجزیه مِی باشد ،که با در نظر گرفتن سادگِی ساخت، کاربردی بودن و ارزان بودن روش مِی توان به باارزش بودن چنِین سنسورهاِی پِی برد.آنچه که در ادامه آورده شده به ساخت و کاربرد الکترودهاِی اصلاح شده با استفاده از نانو ذرات در اندازه گِیرِی ولتامترِی آهن وکادمِیم اشاره دارد. کار اول اختصاص دارد به ساخت الکترود خمِیر کربن اصلاح شده با لِیگاند داِ...

on direct sums of baer modules

the notion of baer modules was defined recently

Sums of distinct squares

Sums-of-Squares Formulas

The following is the extended version of my notes from my ATC talk given on June 4, 2014 at UCLA. I begin with a basic introduction to sums-of-squares formulas, and move on to giving motivation for studying these formulas and discussing some results about them over the reals. More recent techniques have made it possible to obtain similar results over arbitrary fields, and some of these are disc...