We establish an explicit formula for the number of Latin squares of order n: Ln=n!∑AϵBn(−1)σ0(A)per An, where Bn is the set of n×n(0,1) matrices, σ0(A is the number of zero elements of the matrix A and
The optimal pebbling number of grids has also been investigated. Exact values were proved for Pn◻P2 [1] and Pn◻P3 [2]. The question for bigger grids is still open. The best known upper bound for the square grid can be found in [3]. Diagonal induced subgraphs of the square grid...
A recent paper by Jiang and Yang (2019) has cited the optimization of the least squares support vector machine by EHO. Various benchmark models such as ARIMA, whale optimization algorithm–ensemble model were compared with the EHO–Kmeans–Ensemble model and the latter was found to be superior...
introduced the sum of squares law82 and in 2013, Castro-Perelman et al. proved the derivative 1950003-41 K. Irwin sum of areas and volumes law.83 In 2014, Fang et al. derived the golden ratio rotation from the ¯rst principles approach of the icosagrid method. In 2016, she and coau...
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Answer to: Fill in the blank. A ___ uses a portion of a real number line as its horizontal axis, and the bars are not separated by spaces. By...
1096A-FindDivisible.cpp 1096C-PolygonForTheAngle.cpp 1097A-GennadyAndACardGame.cpp 1097B-PetrAndACombinationLock.cpp 1097C-YuhaoAndAParenthesis.cpp 1099A-Snowball.cpp 1099B-SquaresAndSegments.cpp 1099C-Postcard.cpp 1100A-RomanAndBrowser.cpp 1100B-BuildAContest.cpp 1100C-NNAndTheOpticalIllusion.cp...
This study investigates the effects of swirl number and air preheating on the turbulent mixing characteristics of pure methane and hydrogen–methane fuel blends in a swirl-stabilized burner. Utilizing large eddy simulations (LES) with the Wall-Adapting Local Eddy-viscosity (WALE) sub-grid model, th...
Cumulative Number refers to the total count of monomer units of a specific type at a particular position along a chain, considering the direction from left to right and the chain length from right to left. AI generated definition based on: Advanced Data Analysis & Modelling in Chemical Engineeri...