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 ...
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 ...
This formulation leads to an extremely fast and simple algorithm for generating a linear or nonlinear classifier that merely requires the solution of a single system of nonsingular linear equations. Multiclass and incremental extensions of this proximal formulation are also presented.; Prior knowledge,...
[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, ...
M. 2002. Predicting the dew point pressure for gas condensate reservoirs: empirical models and equations of state. Fluid phase equilibria. Fluid Phase Equilibria 193 (1–2):147–65. doi:10.1016/S0378-3812(01)00724-5. (Open in a new window)Web of Science ®(Open in a new window)...
And the detailed information is shown in the following equations: (4) (5) (6) (7) (8) where P is the scale of positive samples and N is the scale of negative ones. T is a set of the true predicted result, and F is a set of the false predicted result. When it comes to ...
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 ...
Their work provided a theoretical understanding of the soil's volume change behavior in relation to the compaction curve. Al-Khafaji (1993) examined the relationship between the Atterberg limits and soil compaction using a standard Proctor test, and developed empirical equations to estimate the ...