This paper describes heuristics for partitioning a general M x N matrix into arrowhead form. Such heuristics are useful for decomposing large, constrained, optimization problems into forms that are amenable to parallel processing. The heuristics presented can be easily implemented using publicly available graph partitioning algorithms. The application of such techniques for solving large linear...

[On March 1979 i n Warsaw Poland Marian Rejewski died. He was the l a s t of the g r e a t war t ime Po l i sh geniuses. Henryk Zygalski died i n England i n 1978. J e rzy Rozycki died i n m i l i t a r y ac t ion i n 1942 Before he d i e d Re jewsk i wro te a s t a d y i n P o l i s h on t h e mathem a t i c a l s o l u t i o n of t h e German machine cypher. H i s work was published i n P o l...

Mathematical word problems (MWP) test critical aspects of reading comprehension in conjunction with generating a solution that agrees with the “story” in the problem. In this paper we design and construct an MWP solver in a systematic manner, as a step towards enabling comprehension in mathematics and teaching problem solving for children in the elementary grades. We do this by (a) identifying ...

a novel mathematical model has been developed to aid the formulation of emulsion explosives. this mathematical model calculated heat of explosion, oxygen balance and raw material cost as a function of explosive ingredients, and the solution of the mathematical model was obtained by a ms excel program. the effects of the different content of nh4no3, nano3, h2o, and span-80 and composite fuel oil...

in this paper, we present a fractional mathematical model of a one-dimensional phase phase change problem (stefan problem) with latent heat a power function of position. this model includes space-time fractional derivatives in caputo sense and time dependent surface heat flux. an approximate solution of this model is obtained by optimal homotopy asymptotic method (oham) to find an approximate s...

‎A computational technique for solution of mathematical model of gas solution in a fluid is presented‎. ‎This model describes the change of mass of the gas volume due to diffusion through the contact surface‎. ‎An appropriate representation of the solution based on the M"{u}ntz polynomials reduces its numerical treatment to the solution of a linear system of algebraic equations‎. ‎Numerical exa...