Regularization plays an important role in solving ill-posed problems by adding extra information about the desired solution, such as sparsity. Many regularization terms usually involve some vector norm, e.g., $L_1$ and $L_2$ norms. In this paper, we propose a novel framework that uses error function to approximate unit step function. It can be considered surrogate for $L_0$ norm. The asymptotic...

Introduction: Renal dynamic study is a well-established and popular test in routine practice of nuclear medicine. The test is non-invasive, rapid and unique in evaluation of the kidney function. In despite of its clinical values, the parameters derived from renogram are physiologically meaningless. That is due to the fact that renogram is not the true kidney function. From mathematical po...

abstract the present research accomplished to determination of the trade liberalization effects on import function of iran’s wheat crop using time series data from 1357 to 1387 that earn from sources such as agricultural and aerology statistics annual letter, customhouse and iran central bank website.in this investigation, at first, wheat liberalization index was measured by using level of inte...

‎The subject of this paper is the solution of the Fredholm integral equation with Toeplitz, Hankel and the Toeplitz plus Hankel kernel. The mean value theorem for integrals is applied and then extended for solving high dimensional problems and finally, some example and graph of error function are presented to show the ability and simplicity of the ‎method.

chess is considered as a cognitive game because of severe engagement of the mental resources during playing. the purpose of this study is evaluation of frontal lobe function of chess players with matched non-players. wisconsin card sorting test (wcst) data showed no difference between the player and non-player groups in preservation error and completed categories but surprisingly showed signifi...