Mathematical programs and their terminology are due to George B. Dantzig, the inventor of the simplex algorithm for solving the LP problems in 1947 [11]. Since then, LP has been widely used and has attained a s
Table 1 summarizes all mathematical symbols utilized in the equations of this paper. Table 1. Table of notations and mathematical symbols. SymbolMeaning Γ 3D EEM fluorescence tensor X EEM data x¯ Average emission signal M Matrix containing x¯ in each row L Bi-dimensional layer of Γ T ...
8.4.1 Delay Differential Equations 286 8.4.2 Solutions to DDEs 286 8.4.3 Mackey-Glass System of DDEs 287 8.4.4 Mackey-Glass System: Stage 1 of the Diatom Life Cycle 288 8.4.5 Mackey-Glass System: Stage 2 of the Diatom Life Cycle 289 8.4.6 Mackey-Glass System: Stages 3 and 4 of th...
1.2.2.1 Architecture of Single-Layer LgNN Model 7 1.2.2.2 Training Algorithm of Laguerre Neural Network (LgNN) 8 1.2.2.3 Gradient Computation of LgNN 9 1.3 Methodology for Solving a System of Fredholm Integral Equations of Second Kind 9
Strohmer, T., Vershynin, R.: A randomized Kaczmarz algorithm with exponential convergence. J. Fourier Anal. Appl. 15(2), 262–278 (2009). doi:10.1007/s00041-008-9030-4. ISSN:1069–5869 Tanabe, K.: Projection method for solving a singular system of linear equations and its applications...
BMC Bioinformatics 2014, 15:390 http://www.biomedcentral.com/1471-2105/15/390 Page 5 of 14 variables, Lm, which takes values of either 0 or 1 has been introduced, while equations (2) and (3) below ensure that for each gene m at most one of rpm and rnm can take posi- tive ...
3. SVM-Based Reduced-Order Model for Aeroelastic System 3.1. Numerical Couple Simulation Method of the Nonlinear Aeroelastic System The full-coupled nonlinear semi-discrete aeroelastic equation is given as (3.1) Equations (3.1) represent the fluid and structure dynamics, respectively, where w is co...
[65]. Pharmacokinetics focuses on how the drug’s concentration increases and drops over time as determined by a number of set parameters such as absorption, distribution, and metabolism. Pharmacokinetics is described through the use of differential equations [65]. On the other hand, ...
LIBSVM: a library for support vector machines ACM Trans. Intell. Syst. Technol. (2011) ChouP.A. Recognition of equations using a two-dimensional stochastic context-free grammar EtoY. et al. Mathematical formula recognition using virtual link networkView more references ...
select article Efficient numerical integration of <math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si20.gif" display="inline" overflow="scroll" class="math"><mi>N</mi></math>th-order non-autonomous linear differential equations Research articleOpen archive Efficient numerical int...