We investigate the computable content of the Uniform Boundedness Theorem and of the closely related Banach-Steinhaus Theorem. The Uniform Boundedness Theorem states that a pointwise bounded sequence of bounded linear operators on Banach spaces is also uniformly bounded. But, given the sequence, can we also effectively find the uniform bound? It turns out that the answer depends on how the seque...

This paper proposes a method for evaluating control performance of a switching control system for which the switching strategy consists of so-called maximal output admissible sets. The proposed method gives an upper bound of the control performance index. The key to calculate it is the use of a dwell time. Two types of the algorithms are presented so as to seek for the dwell time. The proposed ...

Statements of Shannon’s Noiseless Coding Theorem by various authors, including the original, are reviewed and clarified. Traditional statements of the theorem are often unclear as to when it applies. A new notation is introduced and the domain of application is clarified. An examination of the bounds of the Theorem leads to a new symmetric restatement. It is shown that the extended upper bound ...

New theorems of asymptotical stability and uniformly asymptotical stability for nonautonomous difference equations are given in this paper. The classical Liapunov asymptotical stability theorem of nonautonomous difference equations relies on the existence of a positive definite Liapunov function that has an indefinitely small upper bound and whose variation along a given nonautonomous differenc...

Vortex extrusion (VE) is a severe plastic deformation technique which is based on the synergies between high strain accumulation and high hydrostatic pressure. Such a high amount of pressure, places a mandate to seek the method for investigation of the load under processing conditions. For this, kinematically admissible velocity field and upper bound terms based on Bezier formulation are develo...

In this note, we estimate the upper bound of volume closed positively or nonnegatively curved Alexandrov space $X$ with strictly convex boundary. We also discuss equality case. particular, Boundary Conjecture holds when is achieved. Our theorem can be applied to Riemannian manifolds non-smooth boundary, which generalizes Heintze and Karcher's classical comparison theorem. main tool gradient flo...

presented is a method of two-dimensional analysis of the active earth pressure due to simultaneous effect of both soil weight and surcharge of strip foundation. the study’s aim is to provide a rigorous solution to the problem in the framework of upper-bound theorem of limit analysis method in order to produce some design charts for calculating the lateral active earth pressure of backfill when ...

This paper considers a bi-criteria planning problems on single machine, with the goal of minimizing total square time duration and maximizing earliness. To solve this problem we have to find Pareto set. We introduced strong relation between lower bound, upper bound number efficient solutions via theorem which shows also that is near optimal solution if small.