Emerson R. Silva,* a ,b Wendel A. Alves, Valeria Castelletto, Mehedi Reza, Janne Ruokolainen, Rohanah Hussain and a Ian W. Hamley * b Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Santo André 09210580, Brazil Department of Chemistry, University of Reading, Whiteknights, Berkshire RG6 6AD, UK Dept of Applied Physics, Aalto University School of Science, P. O. Box 15100, FI00...

We give explicit formulas for the number of distinct elliptic curves over a finite field, up to isomorphism, in the families of Legendre, Jacobi, Hessian and Edwards curves.

A descent family of Dai–Liao conjugate gradient methods Saman Babaie-Kafaki & Reza Ghanbari a Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P.O. Box 35195-363, Semnan, Iran b School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran c Faculty of Mathematical Sciences, Ferdowsi Universi...

Sumit Sidana, LIG CNRS University of Grenoble Alpes Mikhail Trofimov, Dorodnitsyn Computing Center of Russian Academy of Sciences Oleg Horodnitskii, CES, Skolkovo Institute of Science and Technology Charlotte Laclau, LIG CNRS University of Grenoble Alpes Yury Maximov, CES, Skolkovo Institute of Science and Technology , Theoretical Division T-4 & Center for Non-Linear Studies, Los Alamos Nationa...

Vivek Muthurangu, David Atkinson, Maxime Sermesant, Marc E. Miquel, Sanjeet Hegde, Robert Johnson, Rado Andriantsimiavona, Andrew M. Taylor, Edward Baker, Robert Tulloh, Derek Hill, and Reza S. Razavi Cardiac MR Research Group, Division of Imaging Sciences, King’s College London; Department of Congenital Heart Disease, Guy’s Hospital; and Cardiothoracic Unit, Institute of Child Health and Great...

To my parents. iii ACKNOWLEDGEMENTS Foremost, I would like to express my sincere gratitude to my research advisor Prof. Faramarz Fekri for his continuous encouragement, advice, and guidance. Throughout the last two years, I have enjoyed his company as a supportive and insightful friend rather than a formal research advisor. My sincere thanks go to my incredible friends Amir Hossein, Mehrsa, and...