We show how to optimize the shape of the transfer function of a linear time invariant (LTI) single-input-single-output (SISO) system. Since any transfer function is rational, this can be formulated as an optimization problem for the coefficients of polynomials. After characterizing the cone of polynomials which are nonnegative on intervals, we formulate this problem using semidefinite programmi...

We provide a revealed preference characterization of expected utility maximization in binary lotteries with prize-probability trade-offs. start by characterizing optimizing behavior when the empirical analyst exactly knows function or probability winning. Next, we consider situation both and unknown. In this case has content imposing mild shape restriction that at least one these functions is l...

the scanning probe microscopes (spms) based lithographic techniques have been demonstrated as an extremely capable patterning tool. manipulating surfaces, creating atomic assembly, fabricating chemical patterns, imaging topography and characterizing various mechanical properties of materials in nanometer regime are enabled by this technique. in this paper, a qualified overview of diverse lithog...

The hyperbolic relationship between insulin secretion and sensitivity has been used to assess in vivo b-cell function (i.e., the disposition index). The disposition index emphasizes the importance of taking into account both skeletal muscle and hepatic insulin resistance to depict insulin secretion. However, we propose that adipose tissue insulin resistance also needs to be accounted for when c...

A. OPTIMAL DIVISION OF SURPLUS: SUFFICIENT CONDITION IN THIS SECTION, we show that the function β∗(j) in equation (15) of the main text, characterizing the optimal division of surplus at stage j, indeed satisfies a sufficient condition for the associated profit-maximization problem of the firm. Our approach builds on recasting this as a dynamic programming problem. Remember that in the main tex...

The purpose of the case report is to show that contrast enhanced ultrasound (CEUS) is an important imaging modality for patients with impaired renal function in detecting, characterizing and excluding renal cell carcinoma (RCC) in transplanted kidneys. To our knowledge this is the first report of CEUS in a tumour of a kidney transplant. CEUS is feasible, reveals comparable results to computed t...

For the problem of maximizing a convex quadratic function under convex quadratic constraints, we derive conditions characterizing a globally optimal solution. The method consists in exploiting the global optimality conditions, expressed in terms of ε-subdifferentials of convex functions and ε-normal directions, to convex sets. By specializing the problem of maximizing a convex function over a c...

There are infinitely many ways of representing a d.c. function as a difference of convex functions. In this paper we analyze how the computational efficiency of a d.c. optimization algorithm depends on the representation we choose for the objective function, and we address the problem of characterizing and obtaining a computationally optimal representation. We introduce some theoretical concept...

A general solution of the functional equation J f{x+y)dfii(y) = f(x) where / is a nonnegative function and ?i is a o--finite positive Borel measure on [0, oo ) is shown to be f(x) = p(x) exp (xa?) where p is a periodic function with every yep, the support of ft as a period. The solution is applied in characterizing Pareto, exponential and geometric distributions by properties of integrated lack...

Characterizing and analyzing a system often requires learning an unknown function, such as the response of or profile field. The standard approach is to opportunely sample function at fiducial points then interpolate. When quantity interest embodied in physical objects accessible with quantum-enhanced measurements, it becomes relevant investigate how transfer this advantage from individual samp...