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In this paper we propose using computational tests for appraising the inaccuracies of index numbers (for example, price and wage indices). This is done by programming a hypothetical situation where the true average index value is known and the variation of prices and quantities and the relation between them can be chosen. The indices are then calculated(More)
Our proposal has the following key features: 1) The separation of a distributed program into a pure algorithm (PurAl) and a distribution/communication declaration (DUAL). This yields flexible programs capable of handling different kinds of data/program distribution with no change to the pure algorithm. 2) Implicit or automatic handling of communication via(More)
What can we do about the issues they raised? What can we do as mathematicians? What can we do as human beings? As mathematicians we should require that the financial indicators should be accurate and stable. In my studies of formulae of price indices, I demonstrate these problems and propose a formula with good accuracy and stability characteristics for(More)
First courses in computer science usually deal with sequential algorithms and programs. Unfortunately, this gets students accustomed to sequential thinking, making it hard for them to understand and effectively use parallelism later. On the other hand, because parallel programming is so difficult, introducing it at an early stage is impractical. So, my(More)
There is a translation into Hebrew: ʸʫʹʬ ʺʥʩʹʩʠ ʺʥʠʺʰʫʹʮʥ ʺʥʠʥʥʬʤ ʺʣʮʶʤ , ʺʩʡʸ ʠʬʬ Abstract A case for linkage without interest to the average wage is presented. The accuracy and stability of index formulae is examined and price linkage is compared to wage linkage. The linkage of personal loans and mortgages and relevant Halachic questions are discussed. It(More)
In an earlier paper (Yehezkael 1991), computational tests and a computer simulation were used to quantitatively assess inaccuracies of several price index formulae. In this paper the analytic approach for assessing these inaccuracies is developed and is found to be in good agreement with the estimates obtained computationally in our earlier paper. The(More)