This paper takes the mathematical software Maple as the auxiliary tool to study the differential problem of two types of functions. We can obtain the infinite series forms of any order derivatives of these two types of functions by using binomial series and differentiation term by term theorem. The research methods adopted in this study involved finding solutions through manual calculations and...

This study uses the mathematical software Maple for the auxiliary tool to evaluate the partial derivatives of two types of twovariables functions. We can obtain the infinite series forms of any order partial derivatives of these two types of two-variables functions by using differentiation term by term. At the same time, we provide two examples of two-variables functions to determine their part...

Maple syrup urine disease (MSUD) is an inherited disorder of branched-chain amino acid metabolism presenting with life-threatening cerebral oedema and dysmyelination in affected individuals. Treatment requires life-long dietary restriction and monitoring of branched-chain amino acids to avoid brain injury. Despite careful management, children commonly suffer metabolic decompensation in the cont...

This document is a hands-on of Maple worksheet for automatic code generation and simulation system for nonlinear model predictive control (NMPC) . This method is well known as a fast algorithm and expected to real-time implementation in a system. This describes the components and usage of the automatic code generation system named "AutoGenU for Maple". This worksheet is required Maple 17 or lat...

This study investigated the feasibility of using an electron beam (EB) process to cure chemically impregnated wood products. Maple wood planks were impregnated with the low-viscosity resins 1,6 hexanediol dimethacrylate (HDDA) and trimethylolpropane trimethacrylate (TMPTA). The addition of nanoparticles into the formulation was also studied. The impregnated wood was then cured by EB irradiation...

This paper uses the mathematical software Maple for the auxiliary tool to study the differential problem of two types of functions. We can obtain the closed forms of any order derivatives of these two types of functions by using Euler's formula, DeMoivre's formula, finite geometric series and Leibniz differential rule, and hence greatly reduce the difficulty of calculating their higher order de...

This document is a hands-on of Maple worksheet for automatic code generation and simulation system for nonlinear model predictive control (NMPC) . This method is well known as a fast algorithm and expected to real-time implementation in a system. This describes the components and usage of the automatic code generation system named "AutoGenU for Maple". This worksheet is required Maple 17 or lat...

We demonstrate how a new data structure for sparse distributed polynomials in the Maple kernel significantly accelerates several key Maple library routines. The POLY data structure and its associated kernel operations (degree, coeff, subs, has, diff, eval, ...) are programmed for high scalability with very low overhead. This enables polynomial to have tens of millions of terms, increases parall...

In the Great Lakes region, little data exist on the distribution of exotic earthworm species or their relative impacts to soil structure and plant communities in forest types other than those dominated by sugar maple. Our objective was to document the earthworm populations in relation to their proximity to human development (e.g., campgrounds, boat landings, roads) in beech-maple dominated fore...