This True Experimental study compared academic performance of students in class VIII in initial tryout in one of the English Medium Schools of Vadodara, India among three methods of teaching arithmetic subject viz. (i) Conventional Method (in control group –C), (ii) Computer Assisted Instruction (CAI) only (in Experimental Group A Exp A) and (iii) Computer Assisted Instruction with simultaneous...

The continuing demand for technological advances while dealing with mutual constraining characteristics of digital systems as for instance lower feature size, lower power consumption, and lower compute latency drives a need for constant innovation. To further improve state-of-the-art digital hardware, thorough knowledge of computer arithmetic is needed. This thesis explores selected aspects of ...

This paper is a blueprint for the use of a massively parallel SIMD computer architecture for the simulation of various forms of computer arithmetic. The particular system used is a DEC/MasPar MP-1 with 4096 processors in a square array. This architecture has many advantages for such simulations due largely to the simplicity of the individual processors. Arithmetic operations can be spread acros...

Let IIR be the set of closed and bounded intervals of real numbers. Arithmetic in IIR can be defined via the power set IPIR (the set of all subsets) of real numbers. If in case of division zero is not contained in the divisor arithmetic in IIR is an algebraically closed subset of the arithmetic in IPIR. Arithmetic in IPIR allows division by an interval that contains zero also. This results in c...

Additive combinatorics is the branch of combinatorics where the objects of study are subsets of the integers or of other abelian groups, and one is interested in properties and patterns that can be expressed in terms of linear equations. More generally, arithmetic combinatorics deals with properties and patterns that can be expressed via additions and multiplications. In the past ten years, add...

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 Computer arithmetic and the MathCW library Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB Internet e-mail: [email protected] Salt Lake City, UT 84112-0090, USA URL: http://www.math.utah.edu/~beebe/ Abstract This talk describes the significance of specific features of integer and floating-point arithmetic for computation. It discusses the impact of the recent intro...

In 1967 the first set of 6 consecutive primes in arithmetic progression was found. In 1995 the first set of 7 consecutive primes in arithmetic progression was found. Between November, 1997 and March, 1998, we succeeded in finding sets of 8, 9 and 10 consecutive primes in arithmetic progression. This was made possible because of the increase in computer capability and availability, and the abili...