A mathematical model for predicting the peeling efficiency of a cassava peeler was developed using dimensional analysis based on Buckingham' s pi theorem. The validated data from experimental studies which revealed maximum coefficient determination R2 = 0.8366 between measured and predicted values. proved appropriate in estimating peel removal by up to 83.66%. There no significance difference v...

In the paper we prove (modulo classification of finite simple groups) an analogue famous Baer-Suzuki theorem for π-radical a group, where π is set primes.

On the verge of the centenary of dimensional analysis (DA), we present a new matrix generalisation of the Buckingham Theorem on which it is based. The proof is based on a solution we have found for inverting non-square block matrices and gives rise naturally to a new pair of transforms the similarity transform (S) that converts physical dimensional data into dimensionless space and its inverse ...

A generalized dimensional analysis performed by using Buckingham’s Pi-theorem for the generalized Burgers’ equation is presented. The application of the Buckingham Pi-theorem is used to reduce the governing partial differential equation with the boundary and initial conditions to an ordinary differential equation with appropriate corresponding conditions. By using a scaling invariant we simplif...

The Robinson–Schensted–Knuth bijection, denoted by RSK, is a bijection between sequences π of real numbers of length n ≥ 1 and ordered pairs 〈P,Q〉 where P = P (π) is a semi–standard tableau with entries π1, . . . , πn, Q = Q(π) is a standard Young tableau with entries one through n, and P and Q both have shape λ = λ(π) where |λ| = n. Schensted’s theorem, which has been generalized by Greene, st...

this research, presents mathematical modeling of drying process of aloe vera slices with dimensions of 7×4×0.5±0.1 cm. peeled aloe vera slices with the initial moisture content of 5750% (d.b) were osmosed for 5 hours in nacl solution of 10% and temperature of 40 °c at a constant solution to fruit ratio of 5:1. osmosed and unosmosed aloe vera samples were hot air dried at 55, 70 and 85°c with di...

Here are two of our main results: Theorem 1. Let X be a normal space with dimX = n and m ≥ n + 1. Then the space C∗(X,R m ) of all bounded maps from X into R m equipped with the uniform convergence topology contains a dense Gδ-subset consisting of maps g such that g(X) ∩Π is at most (n+ d −m)-dimensional for every d-dimensional plane Π in R m , where m − n ≤ d ≤ m. Theorem 2. Let X be a metriza...