let $e$ be an elliptic curve over $bbb{q}$ with the given weierstrass equation $ y^2=x^3+ax+b$. if $d$ is a squarefree integer, then let $e^{(d)}$ denote the $d$-quadratic twist of $e$ that is given by $e^{(d)}: y^2=x^3+ad^2x+bd^3$. let $e^{(d)}(bbb{q})$ be the group of $bbb{q}$-rational points of $e^{(d)}$. it is conjectured by j. silverman that there are infinitely many primes $p$ for which $...

Abstract: Two existing approaches to functional principal components analysis (FPCA) are due to Rice and Silverman (1991) and Silverman (1996), both based on maximizing variance but introducing penalization in different ways. In this article we propose an alternative approach to FPCA using penalized rank one approximation to the data matrix. Our contributions are four-fold: (1) by considering i...

3. Information on permissions/orders of reprints in rheumatology and related fields. Silverman featuring research articles on clinical subjects from scientists working is a monthly international serial edited by Earl D.

3. Information on permissions/orders of reprints in rheumatology and related fields. Silverman featuring research articles on clinical subjects from scientists working is a monthly international serial edited by Earl D.

3. Information on permissions/orders of reprints in rheumatology and related fields. Silverman featuring research articles on clinical subjects from scientists working is a monthly international serial edited by Earl D.

3. Information on permissions/orders of reprints in rheumatology and related fields. Silverman featuring research articles on clinical subjects from scientists working is a monthly international serial edited by Earl D.