In iterative learning control schemes for linear discrete time systems, conditions to guarantee the monotonic convergence of the tracking error norms are derived. By using the Markov parameters, it is shown in the time-domain that there exists a non-increasing function such that when the properly chosen constant learning gain is multiplied by this function, the convergence of the tracking error...

The parametric instability of parallel-propagating circularly polarized Alfvén waves (pump waves) is revisited. The stability of these waves is determined by the linearized system of magnetohydrodynamic equations with periodic coefficients. The variable substitution that reduces this system of equations to a system with constant coefficients is suggested. The system with constant coefficients i...

in this paper we consider several generalizations of the skew t-normal distribution, and some of their properties. also, we represent several theorems for constructing each generalized skew t-normal distribution. next, we illustrate the application of the proposed distribution studying the ratio of two heavy metals, nickel and vanadium, associated with crude oil in shadgan wetland in the south-...

For simplicity, we only prove the following simpler and less general case (Theorem 6). It is easy to prove Theorems 1 and 2 similarly. Theorem 6 The dominance property holds for the following function (7) if its coeecients are constants or the coeecient a pq ij monotonically increases with respect to x i while monotonically decreases with respect to x j .

In this article we provide tighter upper bounds for complementary error function which is a monotonically decreasing function widely used in communication theory. The provided bounds approach the exact value in the limiting case. The derivation of the bounds are based on the monotonically increasing property of exponential function used in complementary error function.

The method of quasi-elastic light-scattering spectroscopy was used to establish quantitatively the concentration of high mmolecular weight (HMW) aggregates present in the normal human intact lens as a function of age. The concentration of HMW proteins increases monotonically with age. HMW proteins are absent in the infant lens, but represent 3% of the total soluble lens protein at age 60 years....

A topological space X is called discretely generated if for every subset A⊂X we have A=∪{D:D⊂A and D is a discrete subspace of X}. We say that X is weakly discretely generated if A⊂X and A6=A implies D\A6=∅ for some discrete D⊂A. It is established that sequential spaces, monotonically normal spaces and compact countably tight spaces are discretely generated. We also prove that every compact spa...

Let h : N → Q be a computable function. A real number x is h-monotonically computable (h-mc, for short) if there is a computable sequence (xs) of rational numbers which converges to x in such a way that the ratios of the approximation errors are bounded by h. In this paper we discuss the h-monotonic computability of semi-computable real numbers which are limits of monotone computable sequences ...

We show that for linear classifiers defined by convex marginbased surrogate losses that are monotonically decreasing, it is impossible to construct any semi-supervised approach that is able to guarantee an improvement over the supervised classifier measured by this surrogate loss. For non-monotonically decreasing loss functions, we demonstrate safe improvements are possible.