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Many of these codes face the difficulty of implementing the mathematical operations in the model in terms of low level optimized kernels offering both performance and portability.
The computer program implementing the mathematical model is utilized to quantify the influences of geometric and material properties and concrete confinements on the load-deflection behavior, column strength curves and load distributions in circular DCFST slender columns.
The result was achieved by implementing the mathematical framework developed previously in a fitting procedure, which takes into account simultaneously the impedance spectrum and several differential immittance spectra of the system.
Through the analogous electrical systems modelling approach, a component software library has been developed for icon-based dynamic simulation of district heating networks, implementing the mathematical models in Matlab/Simulink environment.
Implementing the mathematical model, once it has been endorsed, has the advantages of minimizing the number of experiments related to new operating conditions.
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A detailed description of our sampling algorithm can be found in Additional file 1 and an example implementation can be found in Additional file 3. We implement the mathematical models and sampling algorithm in Matlab (The MathWorks Inc., Natick, MA, USA) and use ode15s solver to numerically solve ordinary differential equation systems.
E.G.P. and C.A.A.B. implemented the mathematical model.
We implemented the mathematical model presented in this work in gPROMS, employing the Modelbuilder platform.
Together, these implement the mathematical scheme that ensures that bitcoins can be transferred, created, and verified without any need for a central authority such as a bank (read TR's explainer on how Bitcoin works).
For epitope selection ETK re-implements the mathematical framework OptiTope (reviewed in Toussaint and Kohlbacher, 2009).
SKS conceived the study as part of his doctoral dissertation, developed and implemented the mathematical model, analyzed the results and drafted the manuscript.
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