The local limit theorem describes how the density of a sum of random variables follows the normal curve. However the local limit theorem is often seen as a curiosity of no particular importance when compared with the central limit theorem. Nevertheless the local limit theorem came first and is in fact associated with the foundation of probability theory by Blaise Pascal and Pierre de Fer...

Earth-based building material processing is a challenge for new constructions. Moreover, field measurements to obtain the rheological properties of fresh materials are required in applications. However, existing field-oriented tests were designed more flowable materials, and protocols stiff rarely available. In this paper, test yield stress developed earth-based accurate enough identify small v...

Biomass ashes (BA) have been intensively studied as amendments for soil in earthworks. This paper aimed to geotechnically characterize BA from pines and olive trees compared the Castelo Branco, Portugal. Namely, granulometry, specific gravity, Atterberg limits optimal compaction values were obtained analyzed order valorize residue incorporated into soils. work is part of broader efforts develop...

Granitic Residual Soil (GRS), referring to the weathered soil from rocks, widely exists all over world, especially in tropical regions. This type of is considered weak for construction due unsaturated soils and fact that granitic properties can vary one location another during formation. As a result, stabilisation necessary. In Malaysia, pineapple fibre (PA fibre) most available waste materials...

‎‎in cite{fr 1‎, ‎fr 2} using faithful complex representations of cyclically pinched and conjugacy pinched one-relator groups we proved that any limit group has a faithful representation in $psl(2,c)$‎. ‎further this representation can be effectively constructed using the jsj decomposition‎. ‎in this note we show that any hyperbolic cyclically pinched one-relator group with maximal amalgamated ...

An important consideration in control issues is control of nonlinear systems. Sliding control is among those nonlinear controllers that can control the system desirably in the presence of unstructured uncertainties of carelessness in specifying parameters of the system. In sliding control, also called Variable Structure Control, the main objectives of the controller &#10are achieved by introduc...

An important consideration in control issues is control of nonlinear systems. Sliding control is among those nonlinear controllers that can control the system desirably in the presence of unstructured uncertainties of carelessness in specifying parameters of the system. In sliding control, also called Variable Structure Control, the main objectives of the controller are achieved by introducin...

Suppose that a policyholder faces $n$ risks X1, ..., Xn which are insured under the policy limit with the total limit of l. Usually, the policyholder is asked to protect each Xi with an arbitrary limit of li such that ∑ni=1li=l. If the risks are independent and identically distributed with log-concave cumulative distribution function, using the notions of majorization and stochastic orderings, ...

Misunderstandings about the Concept of Limit among High School Seniors E. Reyhaani, Ph.D. Z. Sharifi M. Soltaani The concept of limit is one of the basic concepts in mathematics. As such, clear understanding of it is pre-requisite for learning many other concepts. However, many of high school students suffer from misunderstanding this basic concept. To identify and remedy these ...